Mary want to buy a bookcae to hold all of her 138 book. Bookcae A ha 4 helve and can hold 35 book on each helf. Bookcae B ha 5 helve and can hold 26 book on each helf. Which bookcae hould he buy?Bookcae A or bookcae B?

Answers

Answer 1

Answer:

Bookcase A

Step-by-step explanation:

Bookcase A

1 half = 35 book

4 half = 140 books

So, bookcase A can hold 140 books

Bookcase B

1 half = 26 books

5 half = 130 books

So, bookcase B can hold 130 books

So, Mary should buy bookcase A

Answer 2

Answer:

Bookcase A is the answer

Step-by-step explanation:

Mary has 138 books

Bookcase A = 4 shelves holds 35 books per shelf

= 4 * 35=140

Bookcase B = 5 shelves holds 26 books per shelf

= 5 * 26=130

He should buy Bookcase A, it has enough space for his books


Related Questions

my friend vreel purchased 22 rews and corazs for about $96 rews were $8 each and corazs were $3 each. write a systems of equations in standard form to model the relation ship between vreels rews (x) and conazs (y)

Answers

Answer:

Step-by-step explanation:

To model the relationship between Vreel's rews and corazs, we can set up a system of equations in standard form.

The standard form of a linear equation is Ax + By = C, where A, B, and C are constants and x and y are variables.

We know that Vreel purchased a total of 22 rews and corazs, and that the rews cost $8 each and the corazs cost $3 each. We can use this information to set up the following two equations:

The first equation represents the total cost of the rews: 8x + 0y = 96

The second equation represents the total number of rews and corazs that Vreel purchased: 1x + 1y = 22

Together, these two equations form a system of equations that can be used to model the relationship between Vreel's rews and corazs.

I hope this helps! Let me know if you have any other questions.

How many angles are formed when 2 parallel line are split by a transversal?

Answers

When two parallel lines are cut by a transversal, eight angles are formed. Interior angles are supplementary to corresponding exterior angles and the sum of an interior and its corresponding exterior angle is 180 degrees.

Two parallel lines are cut by a transversal, eight angles are formed. Four of these angles are interior angles, which are the angles formed between the two lines and the transversal that lie within the region bounded by the parallel lines. The other four angles are exterior angles, which are the angles formed between the two lines and the transversal that lie outside the region bounded by the parallel lines. Interior angles are equal in measure and are supplementary to the corresponding exterior angles. In other words, the sum of an interior angle and its corresponding exterior angle is equal to 180 degrees. Understanding the properties of interior and exterior angles is important in geometry, as they can be used to prove the parallelism of lines.

To learn more about transversal, visit:

brainly.com/question/17987539

#SPJ4

Need help with this question. Please !!!!!

Answers

The required coordinates of point B are (2, 3) which is the correct answer would be option (C).

To find the coordinates of point B, we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) are given by the formula (x₁ + x₂)/2, (y₁ + y₂)/2.

As per the question, we are given the coordinates of points A and O, which are (4, 5) and (3, 4), respectively.

We can use these coordinates to find the coordinates of point B, which is the midpoint of line segment AO.

Let the coordinates of B would be (x, y)

Substituting the coordinates of points A and O into the midpoint formula gives us :

3 = (x+4)/2 ; 4 = (y+5)/2

6 = x +4; 8 = y + 5

x = 2; y = 3

Therefore, the required coordinates of point B are (2, 3).

Learn more about the midpoint here :

brainly.com/question/5127660

#SPJ1

Does asymptote mean undefined?

Answers

A vertical asymptote does mean undefined in a way, but asymptotes act like limits to a function, meaning a function will never intercept them.

For example:

Take the function: f(x)=1/x^2-9

A vertical asymptote occurs when the domain cannot be a certain value, thus the function cannot cross the line for that value because there is no input nor output. So, in a way, they can be considered undefined.

In the example, we must set the denominator equal to 0 in the rational function, since a number divided by 0 is undefined. We are trying to figure out what value for x creates a denominator of 0, and that will be a vertical asymptote.

x^2-9 is the denominator terms

x^2-9=0

We must solve for x to figure out what domain value for x equals a denominator of 0:

Add 9 to both sides:

x^2=9

Take the positive and negative square roots of 9:

±√x^2=±√9

x=3, -3

So, our vertical asymptotes in this example are the lines x=3 and x=-3



This is because 1/(3)^2-9=1/0 and 1/(-3)^2-9=1/0, both of which are undefined.

Suppose y varies directly proportional with "x" y=6 when x=8 Find y when x=10

Answers

Step-by-step explanation:

directly proportional means

y = kx

to find k we use the first given pair (8, 6) :

6 = k×8

k = 6/8 = 3/4

so, for x = 10

y = 3/4 × 10 = 30/4 = 7.5

The table describes the quadratic function p(x).


x p(x)
−1 10
0 1
1 −2
2 1
3 10
4 25
5 46

What is the equation of p(x) in vertex form?
p(x) = 2(x − 1)2 − 2
p(x) = 2(x + 1)2 − 2
p(x) = 3(x − 1)2 − 2
p(x) = 3(x + 1)2 − 2

Answers

The equation of the quadratic function is (c) f(x) = 3(x - 1)² - 2

How to determine the equation of the quadratic function?

From the question, we have the table of values that can be used in our computation:

A quadratic equation is represented as

f(x) = a(x - h)² + k

Where

Vertex = (h, k)

From the graph, we have the vertex to be

(h, k) = (1, -2)

Substitute (h, k) = (1, -2) in f(x) = a(x - h)² + k

So, we have

f(x) = a(x - 1)² - 2

Also, from the graph, we have the point (0, 1)

This means that

a(0 - 1)² - 2 = 1

So, we have

a(1) = 3

Divide both sides by 1

a = 3

Substitute a = 3 in f(x) = a(x - 1)² - 2

f(x) = 3(x - 1)² - 2

Hence, the equation is f(x) = 3(x - 1)² - 2

Read more about quadratic equations at

brainly.com/question/24334139

#SPJ1

For the polynomial function f(x) = x5-x4-9x3 + 9x2, find the zeros. Then determine the multiplicity at each zero and state whether the graph displays the behavior of a touch or a cross at each intercept.

A.) x = -3, cross; x = 0, cross; x = 1, cross; x = 3, cross

B.) x = -3, cross; x = 0, cross; x = 1, cross; x = 3, touch

C.) x = -3, cross; x = 0, touch; x = 1, cross; x = 3, cross

D.) x = -3, cross; x = 0, cross; x = 1, touch; x = 3, touch

Answers

Answer:

  C.) x = -3, cross; x = 0, touch; x = 1, cross; x = 3, cross

Step-by-step explanation:

You want the zeros and their multiplicity of f(x) = x^5 -x^4 -9x^3 +9x^2, along with a description of whether the graph crosses or touches the x-axis at each zero.

Factors

The equation can be factored as ...

  f(x) = x^2(x^3 -x^2 -9x +9)

The cubic can be factored as ...

  x^3 -x^2 -9x +9 = x^2(x -1) -9(x -1) = (x^2 -9)(x -1)

and the quadratic factor can be factored as the difference of square. The complete factorization is then ...

  f(x) = x^2(x -1)(x -3)(x +3)

Zeros

The zeros are the values of x that make the factors zero:

x = 0, multiplicity 2x = -3, multiplicity 1x = 1, multiplicity 1x = 3, multiplicity 1

Touch/Cross

When the multiplicity of a zero is even, the graph touches the x-axis. Here, that means the graph will touch at x=0, where the multiplicity of the zero is 2.

When multiplicity is odd, the graph will cross the x-axis. The graph crosses at the zeros -3, -1, +3.

__

Additional comment

As soon as you recognize that the x^2 factor means the multiplicity of x=0 is even, you can identify the correct answer choice: the only one that says "touch" for x=0.

bowl a contains 2 red chips; bowl b contains two white chips and 1 red chip, and bowl c contains 1 red chip and 1 white chip. a bowl is selected at random, and one chip is taken at random from that bowl. if the selected chip is white, what is the probability that the chip belongs to bowl c?

Answers

Therefore  the probability that the chip belongs to bowl c is 1/3.

What is the process of probability?

Probabilities can be expressed as proportions with a 0–1 range or as percentages with a 0%–100% range. If an event has a probability of 1, it is very certain to occur; if it has a probability of 0, it has no chance of occurring. There are 45 chances out of 100 that an event will occur when its probability is 0.45 (45%).

Here,

A : 2 Red chips

B : 2 White chips

C: One Red and one White chip

P(selecting any bowl) = 1/3

1) We have to find P(W).

The selected chip can be white if it is either selected from Bowl B or Bowl C.

Symbolically this can be written as

P(W) = P(Bowl B and White chips) + P(Bowl A and White chips)

P(W) = [(1/3) × 1/1)] + [(1/3) × (1/2)]

P(W) = (1/3) + (1/6)

P(W) = 1/2

P(W) = 0.5

2) There is only one bowl with both of white and red chips and that bowl is bowl C. So it is possible the other chips in the bowl to red only if it has been selected from Bowl C.

So ,We need to find P(Bowl C | W).

P(Bowl C | W) = P(Bowl C and W)/P(W)

P(Bowl C | W) = (1/3) × (1/2)/(1/2)

P(Bowl C | W) = 1/3

Hence, the required probability is 1/3.

To know more about probability , visit

brainly.com/question/11234923

#SPJ4

Describe what is happening in the graph below.

A. The function is steady, and then it increases
B. The function decreases sharply, and then it stays the same
C. The function increases a little, and then it decreases sharply
D. The function stays constant, and then it decreases sharply
(Picture of graph included)

Answers

d as in the beginning it isn’t moving it is a straight line and then it decreases rapidly as it’s is moving downwards

D.

The line never increases, so we can cancel out A and C.

The line starts off straight, so it's not B.

So, the answer is D. since it starts off constant and then decreases sharply.

The area of a rectangle is 56.96 m²
If the length is 16, what is the width and perimeter?

Answers

Answer:

width is 3.56

Step-by-step explanation:

Area is = width x length

so Area/length

so 56.96/16=3.56

The width of the rectangle is 3.56 m and the perimeter is 39.12 m.

To find the width of the rectangle,

We need to use the formula for the area of a rectangle, which is:

Area = Length x Width

We know that the area of the rectangle is 56.96 m², and the length is 16 m. So,

We can substitute these values into the formula and solve for the width:

56.96 m² = 16 m x Width

Width = 56.96 m² / 16 m

Width = 3.56 m

Therefore, the width of the rectangle is 3.56 m.

To find the perimeter of the rectangle,

We need to use the formula:

Perimeter = 2 x Length + 2 x Width

We know that the length is 16 m and the width is 3.56 m,

So we can substitute these values into the formula and solve for the perimeter:

Perimeter = 2 x 16 m + 2 x 3.56 m

Perimeter = 32 m + 7.12 m

Perimeter = 39.12 m

Therefore, the perimeter of the rectangle is 39.12 m.

In conclusion, the width of the rectangle is 3.56 m and the perimeter is 39.12 m when the area is 56.96 m² and the length is 16 m.

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ6

What is the mode of 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6?

Answers

The mode for a particular set of observations is 2,3,4,5,6 since it occurs the majority of the time.

What is mode?

The mode formula is described in statistics as the formula for calculating the mode of a given collection of data. The value that occurs most frequently in a particular set is referred to as the mode, and the mode differs across grouped and ungrouped data sets. The mode may be calculated quite easily. Put all of the numbers in a given set in order, either lowest to highest or highest to lowest, and then count how many times each number appears in the set. The mode is the one that appears the most.

Here,

given set of observation:

2 2 2 3 3 3 4 4 4 5 5 5 6 6 6

Mode is the number which occurs the highest time.

So here 2,3,4,5,6 occurs the highest times(3 times).

So,2,3,4,5,6 is the mode.

The mode for given set of observation is 2,3,4,5,6 as it occurs most time.

To know more about mode,

https://brainly.com/question/11943695

#SPJ4

What is the solution to the system of equations y =- 5 3 y 1?

Answers

The solution to the system of equations y = -5x + 3 and y = 1 is x = 0.4 and y = 1.      

Therefore, the answer is (0.4, 1).

To solve the system of equations :

y = -5x + 3                                            (1)

y = 1                                                      (2)

In the given equation, coefficient of y is same in both equations. So subtracting equation (2) from equation (1) we get

y - y = -5x + 3 - 1

0 = -5x + 2

Adding 5x on both sides

0 + 5x = -5x + 2 + 5x

5x = 2

Dividing both sides by 5

x = 2/ 5

x = 0.4  

--The question is incomplete, answering to the question below--

"What is the solution to the system of equations?

y = -5x + 3 and y = 1"

To know more on linear equation

brainly.com/question/27405265

#SPJ4

What is the nature of roots of 2x² 4x 3 0?

Answers

The given quadratic equation 2x²-4x+3=0 has no real roots.

The roots of the quadratic equation are real and equal if the discriminant equals zero, a, b, and c are real values and a≠0.

The roots of the quadratic equation are real and unequal if the discriminant is greater than zero, a, b, and c are real values, and a≠0.

The quadratic equation's roots are imaginary and unequal if the discriminant is less than zero, a, b, and c are real integers and a≠0.

2x²-4x+3=0

Comparing the equation with ax²+bx+c=0

We know that,

D = b²-4ac

  = (-4)²-4(2)(3)

  = 16- 24

  = -8

Since D < 0

Hence, the given equation 2x²-4x+3=0 has no real roots.

To learn more about quadratic equation here:

https://brainly.com/question/17177510

#SPJ4

What are the factors of 3x² 4x 4?

Answers

The factors of the quadratic equation 3x² -4x -4 are (3x + 2)(x - 2)    .

The process of factoring the quadratic equation means expressing the given equation as the product of two linear factors.

The quadratic expression is given as 3x² -4x -4 ;

it can be written as ⇒ 3x² -6x +2x -4    ,...by using split the middle term method .

⇒ 3x(x - 2) + 2(x - 2) ..taking 3x common from first two terms and 2 common from the last two terms .

⇒ (3x + 2)(x - 2)

Therefore , the factors are (3x + 2)(x - 2)  .

The given question is incomplete , the complete question is

What are the factors of the quadratic equation 3x² -4x -4 ?

Learn more about Factors here

https://brainly.com/question/2293207

#SPJ4

you walk 45 m at an angle of 25 degrees s of e. then you walk 30 m north. what is the angle of the resultant vector?

Answers

So the angle of the resultant vector is approximately 53.13 degrees.

To find the angle of the resultant vector, you can use trigonometry to break the two vectors into their x and y components and then use the arctangent function to find the angle.

First, let's find the x and y components of the first vector (the one that travels 45 meters at an angle of 25 degrees south of east). To do this, we can use the trigonometric functions sine and cosine. The x component is equal to the distance traveled (45 meters) times the cosine of the angle (25 degrees), and the y component is equal to the distance traveled times the sine of the angle.

In this case, the x component of the first vector is 45 meters * cos(25 degrees) = 39.74 meters. The y component of the first vector is 45 meters * sin(25 degrees) = 22.36 meters.

Now let's find the x and y components of the second vector (the one that travels 30 meters north). The x component of this vector is 0 meters (since it doesn't move in the east-west direction), and the y component is 30 meters (since it travels 30 meters in the north direction).

To find the resultant vector, we can add the x components and y components of the two vectors. The x component of the resultant vector is 39.74 meters + 0 meters = 39.74 meters, and the y component of the resultant vector is 22.36 meters + 30 meters = 52.36 meters.

To find the angle of the resultant vector, we can use the arctangent function (also known as the inverse tangent function). The angle is equal to the arctangent of the y component divided by the x component.

In this case, the angle is equal to arctan(52.36 meters / 39.74 meters) = arctan(1.318) = 53.13 degrees.

So the angle of the resultant vector is approximately 53.13 degrees.

To learn more about resultant vector,

visit; brainly.com/question/29740341

#SPJ4

Find the x and y components of the initial vector first (the one that travels 45 meters at an angle of 25 degrees south of east). The trigonometric functions sine and cosine can be used to do this. The y component is equal to the distance traveled times the sine of the angle, and the x component is equal to the distance traveled times the cosine of the angle, or 45 meters times the cosine of the angle, or 25 degrees.

In this case, the x component of the first vector is 45 meters * cos(25 degrees) = 39.74 meters. The y component of the first vector is 45 meters * sin(25 degrees) = 22.36 meters.

The two vectors' x and y components can be added to determine the resultant vector. The resultant vector has two components: an x component of 39.74 meters plus 0 meters equals 39.74 meters, and a y component of 22.36 meters plus 30 meters equals 52.36 meters.

The arctangent function can be used to determine the angle of the resulting vector (also known as the inverse tangent function). The angle is determined by dividing the y component's arctangent by its x component.

In this case, the angle is equal to arctan(52.36 meters / 39.74 meters) = arctan(1.318) = 53.13 degrees.

So the angle of the resultant vector is approximately 53.13 degrees.

what is the weekly average proportion of opposed feeling? group of answer choices 0.225 0.025 none of the above 0.125 0.200

Answers

The weekly average proportion of opposed feeling is 0.0375. (Option D)

A sample proportion is the proportion of individuals in a sample who have a particular characteristic of interest. It refers to the number of successes (success means that an individual possesses the characteristic of interest) of the sample divided by the sample size. According to the provided data, the number of successes in the sample size is 30 and the sample size is 100. Hence, the sample proportion is:

Sample proportion = 30/100 = 0.3

As the survey is conducted weekly for eight weeks, the average proportion of the samples is determined by sample proportion divided by number of weeks. Hence,

Average proportion = 0.3/8 = 0.0375

Note: The question is incomplete. The complete question probably is: A Glassboro township is concerned about adverse public reaction to a trash recycling project that is currently in progress. Because of this, the commissioner of public works has authorized a weekly survey to be constructed of township residents. Each week, a sample of 100 residents are questioned on their feeling toward the project. The results to date are shown below. What is the weekly average proportion of opposed feeling? (3 pts.) a. 0.0250 b. 0.1250 c. 0.3000 d. 0.0375 e. None

Learn more about Sample proportion:

https://brainly.com/question/29259631

#SPJ4

what is the greatest common factor for 32 and 81
(HURRYYY))

Answers

Answer:

9 :)))))))))))

What SAS stand for in math?

Answers

It’s the SAS theorem or Side angle Side

Can two equilateral triangles always be congruent Is it true or false?

Answers

False
Must use these cases for congruent
Must use at least one angle are congruent in each triangle

The last step mentioned in building equations to solve real-world problems is to check your answer by substituting it into the original equation. Another way to check your answer is to use estimation and to make sure the answer is reasonable for the situation. In the problem above, are all of the solutions reasonable for the given situation? Why or why not?

Answers

Graphing, substitution, and elimination are the three techniques used to solve systems of equations.

What is meant by linear equation ?

There is only one way to know the unknown variable X. As a result, d has a value of 1. To find an equation, we must know the variable(s) that are missing as well as any associated known variable(s).

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

The first-degree equations are linear equations. This is the formula for a straight line. Ax+by+c = 0, where a and b are both zeros, is the conventional form of a linear equation.Anything connected to a line is said to be linear.

To learn more about equation refer to :

https://brainly.com/question/28648865

#SPJ1

Write the equation of the line that passes through the points (-9,-9) and (−8,1).

Answers

Answer: slope= change in y-intercept and x-intercept

Step-by-step explanation:

1-9=-8

-8- -9=1

-8/1=-8

The eccentricity of the conic section below is
A. Closer to 0 than 1
B. Closer to 1 then 0

Answers

The eccentricity of the conic section below is: A. closer to 0 than 1.

What is a conic section?

In Euclidean geometry, a conic section can be defined as a curve that is generated as the intersection of the surface of a right circular cone with a plane.

In Mathematics, there are four (4) types of conic section and these include the following with their eccentricity:

Hyperbola: its eccentricity is greater than one (1).Parabola: its eccentricity is equal to one (1).Ellipse: its eccentricity is 0 < e < 1.Circle: its eccentricity is equal to zero (0).

In this context, we can reasonably infer and logically deduce that the eccentricity of the conic section is closer to zero (0) than one (1) because it represents a circle.

Read more on conic section here: https://brainly.com/question/4017703

#SPJ1

100 POINTS HELP PLEASE WILL GIVE BRAINLIEST

Answers

Answer:

D. Increase in assets

Step-by-step explanation:

The entry "Cash 750,000" is listed as a debit in the T-account because it is an increase in assets. In double-entry bookkeeping, a debit is used to record an increase in assets and a credit is used to record a decrease in assets. In this case, the business received cash in exchange for the airplane, which represents an increase in the business's assets. So the Cash account is debited and the Airplane account is credited.

What are the 5 ways to prove triangles similar?

Answers

Five different ways to prove the given triangles are similar is given by :

SAS, SSS, ASA, AA, and RHS.

Five different ways to prove triangles are similar is given by:

1. SAS (Side-Angle-Side) : If the corresponding sides of one triangle are in proportion to the other triangle and included angle is of equal measure.

2. SSS(Side-Side-Side): If the corresponding sides of one triangle are in proportion to the other triangle

3. ASA(Angle - Side- Angle) : If the two angles of one triangle are equal to the angles of other triangle and included side is in proportion.

4. AA( Angle-Angle) : If two adjacent angle of one triangle is equal to the measure of other triangle.

5.  RHS(Right angle- Hypotenuse - side). If the hypotenuse and one of one right triangle are in proportion to another.

Therefore, five different ways to prove the given triangles are similar is given by : SAS, SSS, ASA, AA, and RHS.

Learn more about triangles here

brainly.com/question/2773823

#SPJ4

Rewrite the equation using completing the square.

Answers

Answer: 8*8=64

               6*6*=216

64-216+21=0

Step-by-step explanation:

Pls help and explain

Answers

Answer:

$48/4 pizzas

Step-by-step explanation:

A ratio is a fraction that relates one variable to another.

⭐ A proportion is when you make two ratios equal to each other to solve for one of the variables.

We want to find what it costs for Mike to buy 4 pizzas. To achieve this, we must make a proportion.

The first ratio we are given is $12/1 pizza, which means that it costs $12 for 1 pizza.The ratio for Mike buying 4 pizzas is x/4 pizzas, where x is the cost of buying 4 pizzas.Set these two ratios equal to each other and solve for x. *remember: keep the numerators and denominators the same units.[tex]\frac{12}{1 pizza} = \frac{x}{4 pizzas}[/tex]Multiply both sides of the equal sign by 4 to isolate the variable x.[tex]\frac{12}{1 pizza} (4) = \frac{x}{4 pizzas} (4)[/tex][tex]48 = x[/tex]∴ It costs Mike $48 for 4 pizzas.Now we need to write the ratio of cost to pizzas for buying 4 pizzas.$48/4 pizzas

Circle A has center of (2, 3), and a radius of 5 and circle B has a center of (1, 4), and a radius of 10. What steps will help show that circle A is similar to circle B? (6 points) Group of answer choices
Dilate circle A by a scale factor of 2.
Translate circle A using the rule (x + 1, y − 1).
Rotate circle A 180° about the center.
Reflect circle A over the y-axis.

Answers

The answer is: “Dilate circle A by a scale factor of 2.”

When figures are similar, they are proportional, meaning their angles remain congruent, but their side lengths increase or decrease predictably by a factor. For two figures to be similar, they must be the same shape. All circles are similar because they measure 360° and because circles are unique, so there are no “types” of circles.

Dilating a figure by a scale factor will show the figures are similar because circle A can exactly be formed into circle B by a scale factor of 2. Also note that circle A has a radius of 5, and circle B has a radius of 10. Therefore, doubling the radius of circle A would equal the radius of circle B, and because the radius is being doubled, every other measurement of the circle (like diameter and circumference) would be altered as well.

a cylinder whose height is 7cm and total surface area is 1936/7 . find radius

Answers

The radius of the cylinder 37cm.

How to find radius?The radius of a circle is the distance a circle's center from any point along its circumference. Usually, "R" or "r" is used to indicate it.Cylinder y's Curved Surface Area (CSA) Its other name is lateral surface area (LSA). The formula for the curved surface area (CSA) of a cylinder with base radius "r" and height "h" is: CSA of cylinder = 2rh sq. units.

cylinder's entire surface area is equal to 2r(h+r).

total surface area = 1936 square cm

height=7 cm

radius is

therefore,

2πr(h+r)=1936

2πr(r+7)=1936

44(r+7)=1936

r+7 = 1936/44

r+7=44

r= 44-7 =37

r=37cm.

The radius of the cylinder 37cm.

To learn more about  radius refer to:

https://brainly.com/question/24375372

#SPJ1

Hodor combines 3 quarts of a 5% sugar solution and 2 quarts of an 8% sugar solution. How many additional quarts of a 12% sugar solution must be added to make a 10% sugar solution?

Answers

Katie needs 9.5 quartz of the 12% sugar solution to make the 10% sugar solution.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The volume of the 12% sugar solution required, 'X' for a given volume of the 8% sugar solution, 'Y' is;

X = (2·Y + 15)/2

When the volume of the 8% sugar solution, Y = 2 quartz, the volume of the 12% sugar solution required, X = 9.5 gallons

The data of the sugar solutions are;

The volume of 5% sugar solution Kate has = 3 quarts

The volume of the 12% sugar solution = X

Let 'Y' represent the volume of the 8% sugar solution, we have;

The volume of the resultant solution, Z = X + Y + 3

The concentration of the resultant solution = 10%

0.05 × 3 + 0.08·Y + 0.12·X = 0.1·(X + Y + 3)

Solving gives the relationship between the volume of the 12% sugar solution, 'X', and the 8% sugar solution, 'Y' in quartz, as follows;

X = (2·Y + 15)/2

When the volume of the 8% sugar solution, Y = 2 quartz, we have;

X = (2 × 2 + 15)/2 = 9.5 Quartz

To know more about an expression follow

https://brainly.com/question/13125506

#SPJ1

How do you find the inverse of two variables?

Answers

To find the inverse of a function you just have to switch the x and the y and then solve for y.

Inverse Function

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f^-1 or F^-1.

The inverse function returns the original value for which a function gave the output.

Learn more about inverse function here : -

https://brainly.com/question/17872426

#SPJ4

Other Questions
identify 1 thing that you could reasonably and personally commit to doing that could reduce your carbon footprint. a student placed 20 tobacco seeds of the same species on moist paper towels in each of two petri dishes. dish a was wrapped completely in an opaque cover to exclude all light. dish b was not wrapped. the dishes were placed equidistant from a light source set to a cycle of 14 hours of light and 10 hours of dark. all other conditions were the same for both dishes. the dishes were examined after 7 days, and the opaque cover was permanently removed from dish a. both dishes were returned to the light and examined again at 14 days. the following data were obtained. How are antibiotics different from vaccines? Please select the word from the list that best fits the definition. Assessa. Analyzeb. Evaluatec. Questiond. Reflect x and y are integers.y>_2x+y4y 2x + 2Mark on the grid all the pointsthat fulfill all three inequalities. Which of the following is an accurate comparison of the U.S. House of Representatives and the U.S. Senate?answer choicesabcd Solve the equation b/16 = -4 for b -64-4464 The best selection to complete number 5 is - - impressment- sedition- mercantilism What is most important value according to the Agile Manifesto? Which exponential function has a growth factor of 5? Is 9 by 16 equal to 5 by 9 yes or no? What are the 7 fitness principles? What is the shortcut key to display a full screen? David Davis is reviewing a capital budgeting proposal from TA, Inc. TA is considering investing in a new machine. The details of the proposal are as follows: . O The machine costs $460,000 and installation costs $40,000. O The machine will be depreciated using the straight-line method to zero over a five-year life. O During the life of the machine, an inventory investment of $80,000 is required. O The machine is expected to generate additional revenues of $350,000 per year. O The machine is expected to reduce TA's cash operating expenses by $20,000 per year O After five years, the machine will be sold for $90,000. O TA is in the 35% tax bracket and its cost of capital is 12%. TA's net investment outlay is closest to: A. $500,000 B. $540,000 C. $580,000 What is a possible factor of x 6x 11x 6? Thinking of the cultures, groups, and communities studied in Music in Global America, you will create a Spotify playlist of 20 songs that represent them. This should be a comprehensive playlist of the course that shows your involvement and understanding of it. Alongside it, you will write one paragraph containing the following information (below) per track: - Artist and year of publication - Reasons for including it in the playlist - How does this song is representative of some of the issues studied in class - When possible, try to tie the song and its social context to some of the readings done in class what are the 3 reasons why many explorers traveled in search of land? When you are communicating with residents, you need to remember toa. look away when they make direct eye contactb. speak rapidly and loudlyc. face the resident and make eye contactd. finish all their sentences for them find the volume of the given solid. bounded by the coordinate planes and the plane 8x + 5y + z = 40 Given G(t) = 9 5t, write G(5 + h) G(5) in simplest form.