please help me!!!!!!!!!!1

Please Help Me!!!!!!!!!!1
Please Help Me!!!!!!!!!!1

Answers

Answer 1

The value of x for the given equation is -20 .

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

(5/3)x+(1/3)x=13(1/3)+(8/3)x

Solve equation, to find the value of x,

(5/3+1/3)x=13(1/3)+(8/3)x

-13(1/3)=(8/3)x-(5/3+1/3)x

-40/3=(8/3-2)x

1.(-40/3)=1.(2/3)x

-20=x

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Related Questions

Question 1 (1 point)
The scatter plot shows the number of days since several people filled their cars with
gas and the gallons of gas in their tank. Which is the most reasonable estimate of the
gallons of gas in a tank if it has been 3 days since filling up?
GALLONS OF GAS
8875294
DAYS SINCE FILLING UP
10 gallons
13 gallons
23 gallons
17 gallons

Answers

Answer:

D) 17 gallons

Step-by-step explanation:

Estimated line of best fit added to the graph (see attached).

The most reasonable value of y corresponding to x = 3 is approximately 18 gallons.

The matching answer choice is D.

Answer:

(D) 17 gallons

Step-by-step explanation:

Rama is stringing beads whose lengths are each 0.19 inches. How can rounding be used to estimate the length of a row of 9 beads?

Answers

Rama had used 0.10 as an approximation for the length of each bead, the row would have been too short and would have dropped outside of the allowed length range.

Rama is stringing beads whose lengths are each 0.19 inches.

A bead's length is 0.19 inches, which is approximately 0.2 inches. If the row has 9 beads, we must double the length of each bead by the number of beads. Therefore

Because the beads are approximately 0.20 inches in length, the length of a row of 9 beads is

will be approximately 9 × 0.20 = 1.80 inches.

Thus, if she had used 0.10 as an approximation for the length of each bead, the row would have been too short and would have dropped outside of the allowed length range.

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when was the titanic sunk, how many people died how many survived and what were some of their names

Answers

Answer: 1,500 people died and there names were. John Jacob Astor, Archibald Gracie IV, W. T. Stead, Noël Leslie, Thomas Andrews, Margaret Brown and John Thayer

Step-by-step explanation:

The Titanic — billed as an unsinkable ship — hit an iceberg and sank on April 15, 1912. Over 1,500 people died in the maritime disaster, while 705 individuals survived.

ANSWER: Of the 2,240 passengers on board of the Titanic, about 1,500 passengers lost their lives. 706 people survived.
No one from the titanic is still alive, the last living person was Millvina Dean who died in 2009 at 97 years old.
Some people that survived were:
- Millvina Dean
- Dorothy Gibson
- Cosmo & Lucy Duff-Gordon
- Elizabeth Shutes
- Violet Jessop
- Charles Lightoller
and more

In the figure below, m1 equals (x-9) degrees, and m2 equals 8x degrees. Find the angle measures.

Answers

Answer: m1=2 and m2=88

Step-by-step explanation:

90=x-9+8x

99=9x

x=11

Sarah mailed her computer to Store B for repairs. Her bill was:

Initial Repair Cost = $1,350

Sales Tax of 7 percent = $94.50

Total Cost of Computer Repair = $1,444.50

Shipping = 2 percent of Total Cost

What is the cost to ship this computer from Store B?

$

Answers

Answer: $28.89

Step-by-step explanation: 2% of 1,444.50 is $28.89

A, B, C, D, E, F, G and H form a cuboid. AB = 6.7cm, BC = 2.3cm, and CG = 8.1cm. Find ED rounded to 1DP.

Answers

According to the Pythagoras theorem, the value of ED is 8.4 cm

Pythagoras theorem:

Pythagoras theorem defines that the right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Given,

A, B, C, D, E, F, G and H form a cuboid.

AB = 6.7cm, BC = 2.3cm, and CG = 8.1cm.

Now, we need to find the value of Ed and round off it into 1 decimal place.

Here we have the cuboid with the edges named as A, B, C, D, E, F, G and H.

Now, we have to use the value of BC and CG to find the value of hypotenuse of BG.

Because, BG and ED are opposite to each other.

Which means both have the same hypotenuse value.

So, according to the Pythagoras theorem,

=> BG² = BC² + CG²

=> BG² = (2.3)² + (8.1)²

=> BG² = 5.29 + 65.61

=> BG² = 70.9

So, the value of BG is 8.42.

Therefore, the value of ED is 8.4 When we round off this into one decimal place.

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HELP! ASAP!! 50 points if you help!

Answers

Heidi earned $30 in commission.

The amount of money that the store made from Heidi's sales is equal to $720.

How to calculate commission.

In this exercise, you're required to determine the amount of money earned by the salesperson as commission based on the price at which she sold a jewelry.

Mathematically, the amount of commission earned on the sales of a product can be calculated by using this mathematical expression:

Commission = Percent commission × Sales price

Given the following data:

Percent commission = 4%

Sales price = $750.

Substituting the given parameters into the formula, we have;

Commission = 4/100 × 750

Commission = 0.04 × 750

Commission = $30.

Next, we would determine the amount of money that the store made from her sales:

Sales = $750 - $30.

Sales = $720.

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the following table shows how a certain man spent his 1992 annual salary rent=18% savings=12% maintenance=25% food=30% taxes=5% others=10% a) represent this information on the pie chart b) find his savings at the end of the year if his annual salary was gh¢6,000.00​

Answers

a) The pie chart that represents this information is given at the end of the answer.

b) The amount that represents his savings is of: gh¢ 720.

What is a pie chart?

A pie chart is a graph in which the values of each measure in the data-set assume a percentage equivalent to the percentage of these values in the circular graph.

In the context of this problem, these percentages are given as follows, as stated from the text:

Rent: 18%.Savings: 12%.Maintenance: 25%.Food: 30%.Taxes: 5%.Others: 10%.

All these percentages are inserted on the image given at the end of the answer, which represents the pie chart.

The percentage of savings is of:

12%.

Hence the amount of savings is given by the multiplication of 0.12 by 6,000. as follows:

0.12 x 6000 = gh¢ 720.

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Find the area of the floor of a square room in square metres of which each side is 800 cm

Answers

The answer is 6,400 square meters.

800x800=640,000
640,000/100=6,400

Answer:

A = 64 m²

Step-by-step explanation:

Step 1: What is the question asking

A = ? m²

Step 2: What is known

sides = 800 cm

Step 3: Conversion

convert 800 cm to metersKilo, Hecto, Deca, Base, Deci, Centi, Milli800 cm = 8 m

Step 4: Answer the question/solve for the area

Area of a square = s²A = s² = 8² = 64 m²

Randy is installing PVC tiles to cover his garage floor. The width of the garage is 6 feet more than half the length, l . The perimeter of the garage is 313 times the length. If the PVC tiles cost $2.75 per square foot, what is the total cost of the materials? Enter your answer in standard form.

Answers

To cover the area of floor, we will spend $0.65 for the entire 0.23 squared feet

Perimeter of Rectangle

Perimeter of Rectangle could be considered as one of the important formulae of the rectangle. It is the total distance covered by the rectangle around its outside. A rectangle is a quadrilateral that has two pairs of parallel sides equal and all the four angles at the vertices are right angles.

The formula of perimeter of a rectangle is given as

P = 2(L + W)

P = Perimeter of rectangleL = length w = width.

But the width the rectangle is 6 feet more than half it's length.

W = 6 + 1/2L

If the perimeter is 313 times the length;

P = 2(L + W)

P = 2(L + 6 + 1/2L)

But P = 313L

313L = 2(L + 6 + 1/2L)

313L = 2L + 12 + L

313L = 3L + 12

310L = 12

L = 12 / 310

L = 0.039 ft

The length of rectangle is 0.039ft

The width of the rectangle is 6 + 1/2(0.039) = 6.0195ft

The perimeter of the rectangle = 2(L + w)

Perimeter = 2 (0.039 + 6.0195)

Perimeter = 12.117ft

The area of the rectangle is L * w

A = L * W = 0.039 * 6.0195

A = 0.234ft^2

The cost of the materials will be 2.75 * 0.234 = $0.65

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A rectangular box has a square base. The combined length of a side of the square
base, and the height is 20 in. Let x be the length of a side of the base of the box.
a. Write a polynomial function in factored form modeling the volume V of the box.
b. What is the maximum possible volume of the box?
c. Explain how you found the maximum possible volume.

Answers

A) A polynomial function in factored form modeling the volume V of the box is; V(x) = x²(20 - x)

B) The maximum possible volume of the box is; 1185.19 in³

C) The way the maximum possible volume is found is by finding the derivative and equation to zero. Thereafter, we substitute the value into the first equation.

How to Maximize Volume?

The formula for volume of a rectangular box is;

V =L * W * Height

Where;

L is length

W is width

H is height

We are given;

Height; h

Square base and so;

L = W = x

Thus, the volume is;

V = (x)(x)(h)

The combined length of a side of the square base and the height is 20 in. Thus; x + h = 20

h = 20 - x

Thus, volume is;

V(x) = x²(20 - x)

2) The expanded form of the volume is; V(x) = 20x² - x³

dV/dx = 40x - 3x²

The function has maxima and minima when dV/dx = 0. Thus;

40x - 3x² = 0

Solving for x gives;

x = 0 or 40/3

Maximum possible volume is;

V(40/3) = 20(40/3)² - (40/3)³

V(40/3) = 1185.19 in³

c) The way the maximum possible volume is found is by finding the derivative and equation to zero. Thereafter, we substitute the value into the first equation.

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What is the solution to the equation 6x−5=15, given the replacement set {56, 53, 103} ?.

Answers

The solution of the given equation is x = 10/3

The replacement value is 10/3.

This is incorrect question

Correct question is :

What is the solution to the equation 6x−5=15, given the replacement set {5/6, 5/3, 10/3}

Given,

In the question:

The equation is given as:

6x - 5 = 15

To find the solution of the given equation.

Now, According to the question:

The equation is:

6x - 5 =15

Combine the like terms:

6x = 15 + 5

6x = 20

x = 20 /6

x = 10/3

Hence, The solution of the given equation is x = 10/3

The replacement value is 10/3.

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Do You Understand?
1.8
? Essential Question How can you use
the properties of operations to multiply linear
expressions?

Answers

It is possible to multiply or divide an equation by the same number on each side of the equation without changing the answer, according to the "multiplication property" of the equation.

How can you use the properties of operations to multiply linear expressions?

According to the equation's "multiplication property," it is possible to multiply or divide an equation by the same number on each side of the equation without changing the equation's outcome. The result of multiplying two terms with two different signs will be negative, while the product of two factors with the same sign will be positive. If a and b are positive integers and x is a variable, then (xa * xb) = x(m + n). The identity, commutative, associative, and distributive properties of multiplications are four properties that can facilitate the process. They offer guidelines for solving multiplication problems quickly using properties that always hold true for particular equations.

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What is the additive inverse of the complex number 13 â€"" 2i? â€""13 â€"" 2i â€""13 2i 13 â€"" 2i 13 2i

Answers

The additive inverse of the mentioned complex number is -13 + 2i.

The additive inverse of any number is defined as the number, which on addition to the original number, gives the sum zero. In order to make possible this situation, the additive inverse will have opposite signs for each value.

In the question, 13 has positive sign and 2i has negative sign. To cancel them out, the additive inverse will be 13 with negative sign and 2i with positive sign. Thus, third option is correct additive inverse.

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The complete question is -

what is the additive inverse of the complex number 13 - 2i?

-13 - 2i

-13 + 2i

13 - 2i

13 + 2i

Anyone ?. Need help

Answers

Step-by-step explanation:

it is a parallelogram.

that means both pairs of opposite sides are parallel and the sides of each pair are equally long.

the sum of all internal angles is 360°.

the opposing angles are equal.

and therefore neighboring angles are complementary angles (or a linear pair) : together they have 180°.

so,

76 = 4x - 8

84 = 4x

x = 21

-3z + 8 + 76 = 180

-3z + 84 = 180

-3z = 96

z = -32

-3z + 8 = -6y - 10

-3×-32 + 8 = -6y - 10

96 + 8 = -6y - 10

104 = -6y - 10

114 = -6y

y = -19

Which is the regression equation for a scatterplot with these points rounded to the nearest tenth: (4, 35), (6.5, 92), (2, 10), (5, 50), (6, 85), (10,
110)?
O a y=13.4x-11.1
Ob y=-13.4x+8,432.27
Oc
Od y=11.1x-13.4
y=-11.1x +9,376.90

Answers

The regression equation for a scatterplot with these points  is y=13.4x-11.1

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We have given the point (4, 35), (6.5, 92), (2, 10), (5, 50), (6, 85), (10, 110)

First we need to find the slope.

The formula to calculate the slope between two points is;

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Now substitute the values

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 92 - 35 ) / ( 6.5 - 4)

m = 13.4

Find the equation of the line in slope intercept form;

y = mx + c

we have

y = 13.4x + c

Then 35 = 13.4(4) + c

c = -11.1

therefore

y = 13.4x-11.1

The regression equation for a scatterplot with these points  is y=13.4x-11.1

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a major credit card company has determined that customers charge between $300 and $1500 per month. the monthly amount charged is uniformly distributed. find the standard deviation of the monthly amount charged. (round to four decimal places if needed)

Answers

The standard deviation of the monthly amount charged is 346.41

Step 1: Identify the values of a and b, where [a , b] is the interval over which the continuous uniform distribution is defined.

Since it takes between 300 and 1500 minutes to be seated at the restaurant, we have:

a = 300

b = 1500

Step 2: Calculate the variance using the formula Var(x) = [tex]\frac{(b-a)^{2} }{12}[/tex]

Using the formula for the variance and the values identified in step 1

(a = 300 , b = 1500), we have:

Var(x) = [tex]\frac{(b-a)^{2} }{12}[/tex]

         = [tex]\frac{(1500 - 300)^{2} }{12}[/tex]

         = 1440000/12

         = 120,000

the variance is 120,000

Step 3: Calculate the standard deviation by taking the square root of the variance. σ = [tex]\sqrt{Var(x)}[/tex]

The standard deviation is the square root of the result from step 2 (variance = 120,000)

σ = [tex]\sqrt{Var(x)}[/tex]

σ = [tex]\sqrt{120000}[/tex]

   = 346.41

The standard deviation of the monthly amount charged is 346.41

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the number of violent crimes committed in a day possesses a distribution with a mean of 4.9 crimes per day and a standard deviation of 3 crimes per day. a random sample of 100 days was observed, and the mean number of crimes for the sample was calculated. describe the sampling distribution of the sample mean.

Answers

the sampling distribution of the sample means is 0.03

According to the central limit theorem (n>= 30), the sampling distribution of the sample mean is approximately normal with a mean of 4.9 and a standard deviation of 3.

So:

x = standard dev/sample size

= 3 / 100

= 0.03; it is normal due to its large sample size.

Distribution is the technique of promoting and handing over services and products to clients. The term is related to marketing channels that are used to reach customers in special methods and exceptional areas. distribution characteristic, a mathematical expression that describes the chance that a machine will take on a particular value or set of values. The traditional examples are related to games of hazard.

distributing objects is an act of spreading them out similarly. Algebraic distribution method to multiply every one of the phrases inside the parentheses by way of another time period this is outside the parentheses. To distribute a term over several different terms, you multiply each of the alternative phrases by the primary term. the statistical distribution suggests which values are common and uncommon. there are numerous styles of statistical distributions, along with the bell-shaped everyday distribution.

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Can someone tell me the answer to this question

Answers

Answer: option 2

Step-by-step explanation:

The leading coefficient is positive and the degree is odd, so the correct answer is option 2.

suppose apple has collected extensive survey data about its new iphone, and respondents have rated it on 20 different features and benefits. now researchers want to reduce the amount of data to a few underlying dimensions. which data analysis technique should the researchers use?

Answers

In the provided problem of collection survay data the researchers use the Cluster Analysis data analysis techniques.

Cluster analysis is a statistical technique for processing data. It works by organizing items into groups or clusters based on how closely related they are.

Cluster analysis, similar to reduced-space analysis (factor analysis), deals with data matrices in which the variables have not been previously split into reference and prediction subsets. The goal of cluster analysis is to find similar groups of subjects. Here, “similarity” between each pair of subjects means a global measure of the entire set of traits.

The most common use of cluster analysis is classification. Subjects are divided into groups such that each subject is more similar to other subjects within that group than subjects outside the group.

Cluster analysis used in following areas

In the context of market research, this can be used to identify categories such as age ranges, income ranges, urban, rural, or suburban locations.

Marketing can use cluster analysis for audience segmentation to target different customer groups with the most relevant messages.

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For each situation below, find the unit rate
Drag each situation on the left to the unit rate on the right
Questions: Choices:
Ricky spent $15.00 on 4 pizzas $8.00
William paid $20.00 for 2 1/2 pounds of blackberries $13.50
$3.75

Answers

The unit rate of Ricky purchase is $3.75 per pizza.

The unit rate of William purchase is $8 per pounds of blackberries.

What is unit rate?

Unit rate is the ratio of two different units, with denominator as 1.

In other words, a unit rate is a rate where the second quantity is one unit , such as $10 per pound, 30 miles per hour, 22 Indian Rupees per Nigerian naira, etc.

Let's find the unit rate of the situations.

Ricky spent $15.00 on 4 pizzas

unit rate = 15 / 4

unit rate = 3.75 dollars per pizza

William paid $20.00 for 2 1/2 pounds = 5 / 2 pounds of blackberries.

Therefore,

unit rate = 20 ÷ 5 / 2

unit rate = 20 × 2 / 5

unit rate = 40 / 5

unit rate = 8 dollars per pounds of blackberries

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Anatoliy has a combination of 104 nickels and quarters totaling $22. Which system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, anatoliy has? n = q = 22 0. 05n + 0. 25q = 104 n + q = 104 5n + 25q = 22 n + q = 104 0. 05n + 0. 25q = 22 n + q = 22 5n + 25q = 104.

Answers

The equation which is correct is :

n + q = 104

Since we have given that:

Number of nickels and quarters = 104

Total amount from them = $22

Let the number of nickels be 'n'

Let the quarters be 'q'

So, the equation will be

n + q = 104           -------------------------------------------- (1)

Since we know that

value of nickels = 0.05 dollars

Value of quarters = 0.25 dollars

So, the equation will be

0.05n + 0.25q = $22       ------------------------------------ (2)

So, there are two system of linear equation can be used to find the number of nickels and the number of quarters. i.e.

n + q = 104

0.05n + 0.25q = $22

Using elimination we can find the value of n and q :

0.05( n + q =104 )

⇒0.05n+0.05q=5.2-----------(3)

Now, from equation (2) and (3), we get,

0.05 n + 0.05q = 5.2

0.05 n + 0.25q = 22

(-)       (-)           (-)

------------------------------------

0          + 0.2q = 16.8

q = 16.8 ÷ 0.2

q = 84

Putting the value of q = 84 in equation (1),

   n + q = 104

⇒ n + 84 = 104

⇒ n = 104 - 84

⇒ n = 20

Hence,  n +q =104 equation is correct.

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FOR BRAINLIEST!
pls answer asap
check the directions too pls​

Answers

Answers
1
a) broken line (more than)
b) solution (0, 4) and ( 1, 2)
False because (0, 4) sits on a dash line and cannot be a solution to a “more than” inequity. Graph attached shaded blue.

2
a) solid line ( less than or equal to)
b) solution x intercept = 2, y intercept = 3
True because the graph shows both points on the line and is a solution to a less than or equal to inequality. Graph attached shaded in red.

Answer:

1.a)  Broken line.

1.b)  False.

2.a)  Solid line.

2.b)  True.

Step-by-step explanation:

When graphing inequalities:

< or > : broken line.≤ or ≥ : solid line.< or ≤ : shade under the line.> or ≥ : shade above the line.

Question 1

Given inequality:

[tex]y > -2x+4[/tex]

a)  As the "<" sign has been used, the line will be a broken line.

b)  Substitute (0, 0) into the inequality:

[tex]\begin{aligned}\textsf{When $x=0$ and $y=0$}: \quad 0 & > -2(0)+4\\0 & > 0+4\\0 & > 4\end{aligned}[/tex]

As zero is not greater than 4, the solution at (0, 0) is false.

Graphing the inequality

Change the inequality sign to an equals sign, then substitute two values of x into the equation and solve for y to find two points on the line:

[tex]\begin{aligned}x=-2: \quad y & =-2(-2)+4\\y &=4+4\\y&=8\end{aligned}[/tex]

[tex]\begin{aligned}x=4: \quad y & =-2(4)+4\\y &=-8+4\\y&=-4\end{aligned}[/tex]

Plot the points (-2, 8) and (4, -4).

Draw a broken straight line through the points.

Shade above the line.

Question 2

Given inequality:

[tex]3x+2y \leq 6[/tex]

a)  As the "≤" sign has been used, the line will be a solid line.

b)  Substitute (0, 0) into the inequality:

[tex]\begin{aligned}\textsf{When $x=0$ and $y=0$}: \quad 3(0)+2(0) & \leq 6\\0+0 & \leq 6\\0 & \leq 6\end{aligned}[/tex]

As zero is less than 6, the solution at (0, 0) is true.

Graphing the inequality

Change the inequality sign to an equals sign, then substitute two values of x into the equation and solve for y to find two points on the line:

[tex]\begin{aligned}x=-2: \quad 3(-2)+2y & =6\\-6+2y&=6\\2y&=12\\y&=6\end{aligned}[/tex]

[tex]\begin{aligned}x=4: \quad 3(4)+2y & =6\\12+2y&=6\\2y&=-6\\y&=-3\end{aligned}[/tex]

Plot the points (-2, 6) and (4, -3).

Draw a solid straight line through the points.

Shade below the line.

The diagram shows a prism.
0.5m
front
2m
0.5m
2m
2m
side
front elevation
Draw the front elevation and the side elevation
of the prism on the grids.
Use a scale of 2 squares to 1 m.

Answers

The front and side elevation diagram along with the diagram given in question is attached with the answer.

What is elevation?

A location's elevation can be defined as its height above or below a fixed reference point, most frequently a reference geoid, a mathematical representation of the Earth's sea level as an equipotential gravitational surface (see Geodetic datum Vertical datum). In most cases, elevation is used to describe locations on the surface of the Earth, whereas altitude or geopotential height is used to describe locations above the surface, such as those of flying airplanes or orbiting satellites, and depth is used to describe locations below the surface.

Drawing the required Elevation Using the Construction Method

The scale is 2 squares to 1 meter.

16 squares total make up the plane on which the front elevation is to be drawn.

Front elevation: There are 4 squares across the front elevation's width.

4 + 1 squares make up the portion of the front closest to the observer.

The slant surface of the has a square count of 3 by 4 squares.

Side elevation: By following the same format as before, the side elevation is provided as follows;

The lower side of the side elevation's breadth is 2 meters wide, or 4 squares.

The side elevation's height is 2 meters, or 4 squares.

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What is the slope of the line that passes through the points(7,-4) and (11, –4)? Write your answer in the simplest form.

Answers

Slope is 0/4, which is a horizontal line so the slope is y=4

Step by step:
y2-y1 is -4 + 4 (because subtracting a negative is positive) so the top is 0.
X2-x1 is 11-7 so the bottom is 4.

A volunteer knit a 5-foot long carf at a contant rate. After 4 hour, the volunteer till ha to knit 3 feet of the carf. How much time doe it take to knit the carf from tart to finih?

Answers

The time taken to knit the scarf form start to finish is 10 hours .

In the question ,

it is given that ,

the total length of the scarf = 5 foot

After 4 hour, the volunteer still has to knit 3 feet, which means

time taken by volunteer to knit 2 feet scarf = 4 hours

So , the time taken by volunteer to knit 1 feet scarf = 4/2 = 2 hours .

hence , the the time taken by volunteer to knit the 5 feet scarf is calculated by using the formula

= 5 × (time taken to knit 1 feet)

= 5 × (2)

= 10 hours .

Therefore , The time taken to knit the scarf form start to finish is 10 hours .

The given question is incomplete , the complete question is

A volunteer knit a 5-foot long scarf at a constant rate. After 4 hour, the volunteer still has to knit 3 feet of the scarf. How much time does it take to knit the scarf from start to finish ?

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what is the 60th percentile of breaking strength for this type of fishing line? round your answer to 2 decimal places.

Answers

the 60th percentile of breaking strength for this type of fishing line is

k= 6.64

assume that k pounds is the both percentile of breaking strength for this type of finishing line

p( x<k) = 0.60

p( x- 6.44/0.75 < k- 6.44/0.75)= 0.60

then k-6.44 /0.75 = 0.26

thus k= 6.64

Hence , the 60th percentile of breaking strength for this type of fishing line is 6.64

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Eva bought seven and one-half pounds of chocolate chips. She used three and three-fourths pounds in some cookies and two and five-sixths pounds in some muffins. How many pounds of chocolate chips were left?

three-twelfths pounds
eleven-twelfths pounds
one and two-twelfths pounds
one and seven-twelfths pounds

Answers

The pounds of chocolate chips that were left is B. eleven-twelfths pounds

How to calculate the fraction?

Given that Eva bought seven and one-half pounds of chocolate chips. She used three and three-fourths pounds in some cookies and two and five-sixths pounds in some muffins

The fraction left will be:

= Total pounds bought - The amount used

= 7 1/2 - (3 3/4 + 2 5/6)

= 7 1/2 - (3 9/12 + 2 10/12)

= 7 1/2 - 6 7/12

= 11/12

In conclusion, the correct option is B.

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Answer the questions of the function below.

What is the slope of the line?
What is the y-intercept?
What is the x-intercept?

Answers

Answer:

slope and x-intercept is -1/2

y-intercept is 5

Sophia takes guitar lessons at home every Sunday. Her instructor charges $15 to cover home visit costs, and $30 per hour of training. One Sunday, Sophia's mother pays the instructor $75 for the guitar lessons. Select the equation that represents the given situation and find the number of hours of Sophia's lesson.

Answers

The equation to represent the situation is y = 15 + 30x.

The number of hours Sophia used for the guitar training after paying 75 dollars is 2 hours.

How to use equation to represent situations?

Sophia takes guitar lessons at home every Sunday. Her instructor charges $15 to cover home visit costs, and $30 per hour of training. One Sunday, Sophia's mother pays the instructor $75 for the guitar lessons.

The equation that can be used to represent the given situation is as follows:

let

x = number of hours used for the training

y = total cost

Therefore,

y = 15 + 30x

Now, Sophia's mother spent 75 dollars for her daughters training. Let's find the hours Sophia used.

Therefore,

75 = 15 + 30x

75 - 15 = 30x

60 = 30x

divide both sides by 30

x = 60 / 30

x = 2

Therefore, she used 2 hours for the training.

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