Answers
Floor space (Volume) of Firm 1's structure (cylinder) is 230907.06 cubic ft
≈ 2.31 × 10⁵cubic ft.
What knowledge about volume do you have ?Volume is characterised as the three dimensional quantity that is used to guage the capacity of a solid shape. It implies the amount of three dimensional space a closed figure can fill. It is measured by its volume . Some times volume can be interchanged as capacity. For instance, the amount of water a cylindrical jar can occupy is measured by its volume .
The unit of volume is cubic units such as cubic meters, cubic centimeters , cubic millileters among others .
Volume is gauged by multiplying the area of the shape with its third dimension .
When do we refer to a shape as a cylinder ?A cylinder is a three dimensional space made up of two circular bases that are parallel to one another and are connected by a curved surface
Volume of the cylinder = [tex]\pi r^{2} h[/tex]
where r = radius of the cylinder
h = height of the cylinder
Here given that, diameter of the cylinder = 70 ft
∴ radius of the cylinder = 35 ft
Additionally, height of the cylinder = 60 ft
∴ Volume of the cylinder = [tex]\pi[/tex]× (35)²× 60 = [tex]\pi[/tex]× 1225 × 60
= 3.14 × 1225 × 60 = 230907.06 cubic ft ≈ 2.31 × 10⁵ cubic ft .
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Related Questions
The quotient of 30y³ + 50y2 - 35y divided by 5y is:____.a. 6y +10y² - 7. b. 6y² +10y + 7. c. 6y2+10y - 7. d. 6y³ +10y² - 7.
Answers
The quotient of 30y³ + 50y² - 35y divided by 5y is: 6y² +10y - 7
Hence option c is the correct answer.
Applying long division rule to find quotient,
Dividend is 30y³ + 50y² - 35y and divisor is 5y
Dividing 30y³ + 50y² - 35y by 5y step by step we get ( +) 30y^3 is divisible by 5y as the remainder is zero and the quotient is (+) 6y^2.
Then at second step we get (+) 50y^2 is divisible 5y as the remainder is zero and the quotient is (+) 10y.
And at the last step we get (-) 35y is divisible by 5y as the remainder is zero and the quotient is (-) 7.
Thus adding up the quotients found at each step of division of 30y³ + 50y² - 35y by 5y is 6y² +10y - 7.
Hence option c is the correct answer.
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What is the ¨length of a soccer field¨ unit of measurement
A - Square meters
B - Yards
C - Cubic inches
D - Cubic feet
E - Square centimeters
Answers
The unit of measurement "length of a soccer field" is in yards
What is the ¨length of a soccer field¨ unit of measurementThe unit of measurement "length of a soccer field" is typically measured in yards, which is option B.
A standard soccer field is rectangular, with a length ranging from 100 to 130 yards and a width ranging from 50 to 100 yards.
The measurement of the length of a soccer field is based on the distance between the goal lines, which is equivalent to the length of the field.
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Need in deed classrooms participate in great service learning projects! One classroom took 254 photos of their Saving Honeybees project. Another classroom took 15 times as many pictures of their Advocacy Project for Homeless Pets. How many photos did the Advocacy Project for Homeless Pets classroom take? Show or explain your work
Answers
Answer:
To solve the problem, we can use multiplication. We know that one classroom took 254 photos and the other classroom took 15 times as many pictures. So, we can write an equation to represent the situation:
Number of photos taken by Advocacy Project for Homeless Pets classroom = 254 x 15
We can then solve this equation using multiplication.
254 x 15 = 3810
Therefore, the Advocacy Project for Homeless Pets classroom took 3,810 photos.
BUNGEE JUMPING Trevor is bungee jumping off of a bridge into a canyon that is 400 feet deep. Trevor's bungee cord is 9 feet more than ten times the distance between Trevor and the bottom of the canyon at the end of his jump. If Trevor is 6 feet tall and the bungee cord is attached to his feet, what will be his height above the bottom of the canyon at the end of his jump? Measure the height from Trevor's head to the bottom of the canyon.
Answers
The height above the bottom of the canyon at the end of his jump is 385 feet.
we have,
Canyon depth = 400 feet
Trevor's height= 6 feet
cord length = 9 feet
So, Trevor height to end of jump is
= 400 - (9+6)
= 400 - 15
= 385 feet
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In a circle ABCD, OB = 10 cm. Find the measure of AC.
Answers
The measure of AC, in circle ABCD can be found to be 20 cm.
How to find the measure?In Circle ABCD, O is the midpoint of the circle which means that OB is the radius.
As A and C are on opposite sides of the circle, it means that the value of the measure of AC would be the diameter of the circle which can be found if we have the radius.
The diameter which is AC would then be:
= Radius x 2
= OB x 2
= 10 x 2
= 20 cm
In conclusion, the measure of AC is 20 cm.
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A scoop from a bin of assorted jelly beans contained a mix of flavors. root beer 5 licorice 22 cinnamon 6 What is the experimental probability that the next jelly bean scooped from the bin will be a cinnamon jelly bean? Write your answer as a fraction or whole number. P(cinnamon)=
Answers
Answer: The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials.
In this case, the number of cinnamon jelly beans in the scoop is 6. The total number of jelly beans in the scoop is 5+22+6=33.
Therefore, the experimental probability of scooping a cinnamon jelly bean from the bin is:
P(cinnamon) = number of cinnamon jelly beans / total number of jelly beans
P(cinnamon) = 6 / 33
P(cinnamon) = 2 / 11
So the experimental probability of scooping a cinnamon jelly bean from the bin is 2/11, which can be written as a fraction.
Step-by-step explanation:
What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
-3x^2-298=60x-1
Answers
Thus, the intermediate step in the form (x+a)² = b as a result of completing the square for the given equation is - (x + 10)² = 1 /3.
Define the term "completing the square":A quadratic equation can be made together into perfect square trinomial simply adding or removing elements from both sides, a technique known as "completing the square."
You can use the square's completion as another mathematical tool to solve a variety of problems:
Make algebraic statements simplersolve quadratic problemsTransform expressions between different forms.Quadratic functions' minimum and maximum values should be determined.Given expression:
-3x² - 298 = 60x - 1
isolating the x values:
-3x² - 60x = 298 - 1
-3x² - 60x = 299
Taking -3 common from the left hand side:
-3(x² + 20x) = 299
x² + 20x = - 299/3
This, can be written as:
x² + 2*10x = - 299/3
add both side by 100
x² + 2*10x + 100 = - 299/3 + 100
On simplification:
(x + 10)² = (-299 + 300) /3
(x + 10)² = 1 /3
Comparing obtained expression with the given form: (x+a)²=b
a = 10 and b = 1/3
Thus, the intermediate step in the form (x+a)² = b as a result of completing the square for the given equation is - (x + 10)² = 1 /3.
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Commutative states that the grouping of three terms being added does not affect the result.
Distributive states that the order of two terms being added may be switched which does not affect the result.
Associative states that the multiplying a sum by a number is the same as multiplying each addend by that number and then adding the two products.
Which is which because that's what its asking
Answers
The first statement, "Commutative states that the grouping of three terms being added does not affect the result" is referring to the commutative property of addition.
The solution to the aforementioned questionThe first statement, "Commutative states that the grouping of three terms being added does not affect the result" is referring to the commutative property of addition.
The second statement, "Distributive states that the order of two terms being added may be switched which does not affect the result" is referring to the commutative property of multiplication.
The third statement, "Associative states that the multiplying a sum by a number is the same as multiplying each addend by that number and then adding the two products" is referring to the associative property of multiplication.
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I need help mad fast
Answers
The correct vocab in written as;
DC = semi-circle
<ECD = minor arc
<ECF = point of tangency
CF = chord
How to determine the corresponding termsTo determine the corresponding terms, we need to take note of the following definitions;
Minor arc: It is defined as the shorter arc that connects two endpoints on a circle. It is usually less than 180 degreesMajor arc: It is defined as an arc that measures greater than 180 degrees.Semi- circle: It divides the circle into two equal halves and measures 180 degreesChord: it is defined as a straight line segment with both endpoints found on a circular arc.Learn about circles at: https://brainly.com/question/24375372
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A line passes through the point (-4, -3) and has a slope of 5.
Write an equation in slope intercept form for this line.
Answers
The equation of the line is y=5x+17.
What is slope intercept form of the equation?
When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilised (0, b). It provides both a slope and an intercept, which is why the form is known as the slope-intercept form.
Here the given the point [tex](x_1,y_1)=(-4,-3)[/tex] and slope m = 5.
Now using equation formula then,
=> [tex]y-y_1=m(x-x_1)[/tex]
=> y -(-3)=5(x-(-4))
=> y+3 = 5(x+4)
=> y+3 = 5x+20
=> y = 5x+20-3
=> y = 5x+17
Hence the slope intercept form of the equation is y = 5x+17.
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Questions are Below!!!
Answers
Answer:
Step-by-step explanation:
Question 1 :
The statement that best describes the solutions of a two-variable equation is (1) The ordered pairs must lie on the graphed equation. This means that any ordered pair (x,y) that satisfies the equation will corresponds to a point on the graph of the equation. In other words, if we plot all the points (x,y) that make the equation true, we will obtain the graph of the equation. Any points that do not lie on the graph is not a solution to the equation. Therefore, when solving a two-variable equation, we need to find the values of x and y that make the equation true and plot those points on the graph to visualize the solutions.
Question 2 :
To use the arithmetic sequence formula, we need to know the first term (a1), the common difference (d), and the desired term (an). In this case, we are given the first term as 4 and the common difference as 3 (since each term is increasing by 3). To find the 10th term, we would replace the variable "n" with 10 in the formula. Therefore, to determine the 10th term of this sequence, we would use the formula:
a10 = a1 + (n-1)d
a10 = 4 + (10-1)*3
a10 = 4 + 27
a10 = 31
Thus, the 10th term of the given sequence is 31.
Question 3 :
The formula an = al + (n-1)d is used to determine the nth term in an arithmetic sequence, where "a" represents the first term in the sequence, "n" represents the term number being solved for, and "d" is the common difference between terms. The formula essentially states that to find any term in an arithmetic sequence, one must add the common difference between terms multiplied by the number of terms-1 to the value of the first term. This formula can be applied to various situations, such as determining the total cost of goods sold in a business with a constant markup percentage, or calculating the number of days it will take to save a given amount of money with a fixed monthly contribution. By understanding the principles behind the formula, individuals can successfully solve problems involving arithmetic sequences in a variety of contexts.
determine if (4,1) is a solution for the system of equations
y=-1x+5
y=2x-7
Answers
Answer: The point (4, 1) is a solution to this system of equations.
Step-by-step explanation:
To determine if (4, 1) is a solution to this system, you must plug it in to both of the equations. It is in the form of (x, y); so x = 4, and y = 1
Equation #1: y = -x + 5
1 = -(4) + 5
1 = 1 <————— This is part of the solution to this equation.
Equation #2: y = 2x - 7
1 = 2(4) - 7
1 = 8 - 7
1 = 1 <———- This is part of the solution to this equation.
The point (4, 1) is a solution to this system of equations.
A quadrilateral has vertices P(-5,7), Q(-3,6), and R(-6,0). Which point would make PQRS a rectangle?
~a.) S(-4,-1)
~b.) S(-7,2)
~c.) S(-8,2)
~d.) S(-8,1)
Answers
From the given information about the vertices of the quadrilateral, the point at which the PQRS quadrilateral will be made a rectangle is S(17/14, -1/7).
What is a quadrilateral? What are its properties?A quadrilateral is a four-sided polygon, which means it's an unrestricted shape with four straight sides.The parcels of a quadrilateral include Four sides A quadrilateral has four sides.The sum of the angles in a quadrilateral is always 360 degrees.Each type of quadrilateral has its own unique set of parcels and characteristics.Perimeter The border of a quadrilateral is the sum of the lengths of its sides.Area The area of a quadrilateral can be calculated using colorful formulas, depending on the type of quadrilateral and the information given about its sides and angles.What is a rectangle? What are its properties?An example of a quadrilateral with all four angles at right angles (90 degrees) and opposite sides that are parallel and of equal length is a rectangle.The characteristics of a rectangle are as follows: 4 right angles: A rectangle has four angles, and all four of them are right angles, which means they are all 90 degrees.A rectangle's perimeter is determined by adding the lengths of its four sides, which is equal to twice the length plus twice the width.Area: The length times the breadth of a rectangle equals the area of that shape.Perpendicular sides are opposite sides: A rectangle's opposite sides are perpendicular to one another, therefore when they intersect, they do so at a right angle.Parallelograms include rectangles as well: since a rectangleWe need to find the point that would make PQRS a rectangle. We will first determine the fourth vertex S which, when connected to the remaining three vertices, forms a quadrilateral with four right angles.As opposite sides of a rectangle are parallel and equal in length, we can first find the lengths of PQ and RS, which should be equal in a rectangle.From the distance formula, we have:PQ = [tex]\sqrt{6-7)^{2}} +(-3+5)^{2} =\sqrt{[2^{2}+(-2)^{2} } =\sqrt{8}[/tex]RS = [tex]\sqrt{(0 - 6)^2+ (-5 + 3)^2} + \sqrt{[(-6)^2 + (-2)^2] }= \sqrt40}[/tex]The midpoint of PQ is: [tex][(6 - 5)/2, (-3 - 3)/2] = (0, -3)[/tex]The slope of PQ is: [tex](6 - 7)/(-3 + 5) = -1/2[/tex]The equation of the perpendicular bisector of PQ is:[tex]y + 3 = 2(x - 0) or y = 2x - 3[/tex]The midpoint of RS is: [tex][(0 - 6)/2, (-5 - 0)/2] = (-3, -5/2)[/tex]The slope of RS is: [tex](0 - 6)/(-5 + 3) = 3[/tex]The equation of the perpendicular bisector of RS is :[tex]y + 5/2 = (-1/3)(x + 3) or y = (-1/3)x - 1/6[/tex]Now to find the intersection of these two lines, we can set them equal to each other and compute the value for x:[tex]2x - 3 = (-1/3)x - 1/6[/tex][tex]12x - 18 = -2x - 1[/tex]Adding 2x and 18 to both sides gives:[tex]14x = 17x = 17/14[/tex]To find the y-coordinate of the intersection, substitute x into either equation:[tex]y = 2(17/14) - 3 = 1/7[/tex]So, the point that would make PQRS a rectangle is S(17/14, -1/7).To know more about polygons visit:
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The answer is option c.) S(-8,2).
What is quadrilateral?A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
For PQRS to be a rectangle, its opposite sides must be parallel and have equal length. We can find the length of PQ and RS using the distance formula:
PQ = √[(Qx - Px)² + (Qy - Py)²]
= √[(-3 - (-5))² + (6 - 7)²]
= √[4 + 1]
= √[5]
RS = √[(Sx - Rx)² + (Sy - Ry)²]
= √[(-8 - (-6))² + (2 - 0)²]
= √[4 + 4]
= √[8]
Since PQ and RS are not equal, we need to find a point S such that PQRS has equal sides. Moreover, the diagonals of a rectangle bisect each other. Hence, we can use the midpoint formula to find a point that bisects PR:
M = [(-5 - 6)/2, (7 + 0)/2]
= (-11/2, 7/2)
Let's consider each option:
a.) S(-4,-1)
The slope of PQ is (6 - 7)/(-3 + 5) = -1/2, so the slope of RS must be -1/2 as well. The slope of RS is (2 - 0)/(-8 + 6) = 1, so S(-4, -1) cannot be a point of RS.
b.) S(-7,2)
The slope of PQ is (6 - 7)/(-3 + 5) = -1/2, so the slope of RS must be -1/2 as well. The slope of RS is (2 - 0)/(-7 + 6) = -2, so S(-7, 2) cannot be a point of RS.
c.) S(-8,2)
The slope of PQ is (6 - 7)/(-3 + 5) = -1/2, so the slope of RS must be -1/2 as well. The slope of RS is (2 - 0)/(-8 + 6) = 1, so S(-8, 2) could be a point of RS. Moreover, the distance from S to the midpoint of PR is:
√[(-11/2 - (-8))² + (7/2 - 2)²]
= √[25/4 + 9/4]
= √[34]/2
This is equal to the length of PQ, so PQRS could be a rectangle with S(-8, 2).
d.) S(-8,1)
The slope of PQ is (6 - 7)/(-3 + 5) = -1/2, so the slope of RS must be -1/2 as well. The slope of RS is (1 - 0)/(-8 + 6) = -1, so S(-8, 1) cannot be a point of RS.
Therefore, the answer is option c.) S(-8,2).
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Natalie saved $9,750 at 5.5%
simple interest per year. After 3
years, what is the earned
interest?
Answers
the earned interest after 3 years is $1,608.75.
What is simple interest?
Before delving further into the concept of simple interest, it is worth noting that it is a straightforward method for calculating interest on money, whereby interest is added at a constant rate for each time period and always to the initial principal amount. When we deposit our money into a bank, we can earn interest on our investment. Simple interest is one type of interest that banks may offer.
The formula for simple interest is:
I = P * r * t
where:
I = interest earned
P = principal (initial amount)
r = interest rate per year (as a decimal)
t = time (in years)
Substituting the given values, we have:
P = $9,750
r = 0.055 (since the interest rate is 5.5%)
t = 3
I = $9,750 * 0.055 * 3
I = $1,608.75
Therefore, the earned interest after 3 years is $1,608.75.
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Ted jumped 1,300 times. He did 100 more jumps than Mario. How many jumps did Mario do?
Answers
Answer: 1,200
Step-by-step explanation: 1,300 - 100 = 1,200
find the product of (3-2x)(2x+1)(x-5)
Answers
Answer:
the product of (3-2x)(2x+1)(x-5) is -4x^3 + 26x^2 - 19x - 75.
Step-by-step explanation:
To find the product, we need to multiply these three expressions:
(3 - 2x)(2x + 1)(x - 5)
Let's start by multiplying the first two expressions using the distributive property:
(3 - 2x)(2x + 1) = 6x - 4x^2 + 3 - 2x
Now we can multiply this result by the third expression using the distributive property again:
(6x - 4x^2 + 3 - 2x)(x - 5) = 6x^2 - 34x + 15x - 75 - 4x^3 + 20x^2
Simplifying this expression by combining like terms, we get:
-4x^3 + 26x^2 - 19x - 75
Therefore, the product of (3-2x)(2x+1)(x-5) is -4x^3 + 26x^2 - 19x - 75.
Roger can finish his math homework in 6 hours. Trish can finish the
same homework in 5 hours.
What part of the homework will Roger and Trish finish if they
work together for 1 hour?
Answers
In linear equation, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.
What is a linear equation in mathematics?
A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.
Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.
In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work. So, working together for one hour, they can finish:
(1/6) + (1/5)
= (5/30) + (6/30)
= 11/30 of the work.
If they work together for x hours, then they will finish:
x × (11/30) = 11x/30
of the work in x hours.
Therefore, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.
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Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
y=1/2x+4
Step-by-step explanation:
The point of intersection is 4, and it goes up one, right 2 so the rise over run is 1/2
Geometry Work
It's due today please help asap
Answers
The correct volume of the solid shape given above would be = 3726.1in³.
How to calculate the volume of the solid shape?To calculate the volume of the solid shape, the volume of the cylinder and a cone shoe be subtracted form the Vol of the inner cylinder within the solid shape.
The formula for volume of a cylinder = πr²h
where r = 8in, h = 18in,π= 3.14
vol of cylinder = 3.14× 64×18
= 3617.28in³
volume of cone =⅓πr²h
where hb= 5in
vol = 1/3×3.14×64×5
= 1004.8/3 = 334.9in³
Total volume of shape = 3617.28in³+334.9in³ = 3952.18in³
Vol of inner cylinder = πr²h
where r = 2in
vol = 3.14×4× 18 = 226.08in³
The volume of the shape = 3952.18- 226.08 = 3726.1
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Which quadratic inequality best describes the graph?
Answers
Answer: parabolic curve
Step-by-step explanation:
Answer: parabolic curve
Step-by-step explanation:
what is the range of Dan’s car? It’s highway EPA rating is 40mpg and the tank holds 12 gallons
Answers
The range at which Dan's car can go is 3.33 miles
What is range of a car?A car's range is the distance it can travel with the current amount of fuel in the tank.
The vehicle calculates the range based on the amount of fuel, how the accelerator and brakes are used, and how quickly the car is travelling.
The range of a car can be measured in the unit of distance.
Therefore the range of a car can be calculated as;
R = distance per gallon/ number of gallon.
Dan's car is 40mpg and has 12 gallons in it's tank.
Therefore it's range = 40/12
= 3.33miles.
therefore the range of Dan's car is 3.33miles
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PLEASE HELP ME!
Jessica has 400 cm^3 of material. She uses 35cm^3 to make a right triangular prism. She wants to make a second prism that is a dilation of the first prism with a scale factor of 2.5
How much more material does Jessica need in order to make the second prism?
Answers
Answer:
181.875 cm³
Step-by-step explanation:
You want to know the amount of additional material Jessica needs to make a prism with a volume of 35 cm³ and one that is dilated by a factor of 2.5, given that she has 400 cm³ of material.
Larger volumeThe dilation factor for volume is the cube of the linear dilation factor:
2.5³ = 15.625
so the volume of the scaled-up prism will be ...
(35 cm³) × 15.625 = 546.875 cm³
Total volumeThe total volume of material Jessica needs for the two prisms is ...
35 cm³ + 546.875 cm³ = 581.875 cm³
NeededSince Jessica has 400 cm³ of material, the amount she needs is ...
581.875 cm³ - 400 cm³ = 181.875 cm³
Jessica needs 181.875 cm³ more material to make the second prism.
Sam started the week with a balance of -$10 in his checking account. Then he deposited some money into the account. The ending balance was $70. How much did sam deposit?
Answers
Answer:
Sam balance was -10 and the ending balance was $70
=80+(-10)
=$70
what is different about P3(x)=x^4-21x+20x? what interceps would you predict for its graph?
Answers
There seems to be an error in the expression for P3(x). It appears to be missing an exponent for the second term.
Assuming that the correct expression is P3(x) = x^4 - 21x^2 + 20x, we can analyze its properties.
The degree of the polynomial P3(x) is 4, which means its graph will have at most 4 x-intercepts and at most 3 turning points.
To find the x-intercepts, we set P3(x) equal to zero and solve for x:
x^4 - 21x^2 + 20x = 0
x(x^3 - 21x + 20) = 0
Using the factor theorem or synthetic division, we can find that x = 0 is a root of the polynomial, so (x-0) is a factor. The remaining cubic factor can be factored as (x-1)(x-4)(x+5).
Therefore, the x-intercepts of the graph of P3(x) are x = 0, x = 1, x = 4, and x = -5.
What intercepts would you predict for its graph?As for the y-intercept, we can find it by setting x = 0:
P3(0) = 0^4 - 21(0)^2 + 20(0) = 0
So the y-intercept is (0,0).
To determine the turning points, we can find the critical points by taking the derivative of P3(x) and setting it equal to zero:
P3'(x) = 4x^3 - 42x + 20
4x^3 - 42x + 20 = 0
Solving this equation yields three critical points: x ≈ -1.23, x ≈ 0.58, and x ≈ 2.65.
We can use the second derivative test to determine the nature of these critical points. The second derivative is:
P3''(x) = 12x^2 - 42
At x ≈ -1.23 and x ≈ 2.65, the second derivative is negative, indicating that these are local maxima. At x ≈ 0.58, the second derivative is positive, indicating that this is a local minimum.
Therefore, the graph of P3(x) has a local maximum at (approximately) (-1.23, P3(-1.23)), a local minimum at (approximately) (0.58, P3(0.58)), and a local maximum at (approximately) (2.65, P3(2.65)).
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in one day a 20 pound dog eats 3 cups of food. How much would a 50 pound dog eat
Answers
Let x be the amount of food (in cups) that a 50 pound dog eats in one day.
Since the amount of food eaten is directly proportional to the weight of the dog, we can set up the following proportion:
20 pounds / 3 cups = 50 pounds / x cups
To solve for x, we can cross-multiply:
20 pounds * x cups = 3 cups * 50 pounds
20x = 150
x = 7.5
Therefore, a 50 pound dog would eat approximately 7.5 cups of food in one day, assuming that the amount of food eaten is directly proportional to the weight of the dog.
Put these numbers in order starting with the smallest
Answers
Answer: -1.12, -1^(1/2), 1^(1/8), 1^(1/2), 1^(2/3), 1.12
Step-by-step explanation:
Starting with the smallest:
-1.12
-1^(1/2) (which is equal to -1)
1^(1/8) (which is equal to 1)
1^(1/2) (which is equal to 1)
1^(2/3) (which is equal to 1)
1.12
Therefore, the numbers in order from smallest to largest are: -1.12, -1, 1, 1.12.
Find the solution of the system of equations. -2x-y=6 over -2x+8y=-39
Answers
The solution of the system of equations. -2x-y=6 over -2x+8y=-39 is the ordered pair (-0.5, -5).
How to graphically solve this system of equations?In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;
-2x-y=6 ......equation 1.
-2x+8y=-39 ......equation 2.
In this exercise, we would use an online graphing calculator to plot the given system of equations as shown in the graph attached below.
Based on the graph shown in the image attached below, we can logically deduce that the solution to this system of equations is the point of intersection of the lines on the graph representing each of them, which is given by the ordered pair (-0.5, -5).
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You spin a spinner that has 12 equal-sized sections numbered 1 to 12. Find the probability of p(multiple of 2 or multiple of 3)
Answers
The probability of getting a multiple of 2 or a multiple of 3s:
P = 0.67
How to find the probability for the given event?The probability is equal to the quotient between the number of outcomes for the given event and the total number of outcomes, which in this case are 12.
The multiples of 2 and the multiples of 3 are
{2, 3, 4, 6, 8, 9, 10, 12}
So 8 out of the total of 12 outcomes make the event true, then the probability we want to get is the quotient between these numbers:
P = 8/12 = 0.67
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5) Danielle goes shopping for yoga pants. The promotion at the
store is if you buy 8 pairs for $98. How much would Danielle pay
if she bought 5 pairs with the same promotion?
Answers
Cost per pair = $98 ÷ 8 = $12.25
So, if Danielle wants to buy 5 pairs of yoga pants with the same promotion, she would need to pay:
Cost for 5 pairs = 5 × $12.25 = $61.25
Therefore, Danielle would pay $61.25 if she bought 5 pairs of yoga pants with the same promotion.
Help Please I need this answer soon
Answers
The solution for the value of x is 55.
How to solve for the value of x?Since the segments of the secant segment and the tangent segment share an endpoint outside of the circle.
According to Tangent-Secant Theorem, the product of the lengths of the secant segment and its external segment equals the square of the length of the tangent segment. That is:
x² = 5 * (5 + 6)
x = 5 * 11
x = 55
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