2. Kenzie makes $12.50 per hour. She works 20 hours per week. Find:
a. Her weekly pay
b. Her monthly pay
c. Her yearly pay
d. Her weekly take-home pay if she takes home 76%.

can someone explain?

Answer:

I think the answer is B

Step-by-step explanation:

Hope this helps

Sorry if I'm wrong

Answer: 17/18=34/36

11/12=33/36

Step-by-step explanation:

17/18 and 11/12

First find the LCM, least common multiple, of the denominators 18 and 12.

In order to do that, list the factors of 18 and 12 and find the least common factors of them excluding 1.

18: 1, 2, 3, 6, 9, 18

12: 1, 2, 3, 4, 6, 12

Notice any common small factors? Yes they are 2 and 3. Now, multiply them with 18 and 12.

18*2=36

12*3=36

Hence, LCM is 36.

17/18=(17*2)/(18*2)=34/36

11/12=(11*3)/(12*3)=33/36

Answer: 1 inch 7/8

Step-by-step explanation: 65 1/4 inches is the same and 65 2/8 inches. its now just as simple as finding the difference.

                  <-----------take 8/8 or 1 away from the 65 and add it to the 2/8                 65 2/8

-  63 3/8

----------------          

   64 10/8           <------now the equation looks like this

-   63 3/8             <----10-3 is 7    ----   64 - 63 is 1

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

  1 inch and 7/8

Answer:

f'(x) = 0

Step-by-step explanation:

the derivative of a constant is zero , that is

f(x) = 5 ( a constant ) , then

f'(x) = 0

Based on the number of hours in the work week, the cost of the laborers and masons, worth of the materials and the profit, the estimated cost of the job can be written as a mathematical statement of A. 3 x $15 x 40 + 4 x $25 x 40 + $3,268 + $700 = $

The total estimated cost is $9,768

The total estimated cost of the job can be found by the formula:

= (Number of laborers needed x Cost of laborers x Number of hours in work week) + (Number of masons x cost of masons x number of hours in work week) + materials worth + Required profit

The total estimated cost is therefore:

= (3 x $15 x 40) + (4 x $25 x 40) + $3,268 + $700

= 1,800 + 4,000 + 3,268 + 700

= $9,768

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Question: Hello: )✨A masonry contractor is preparing an estimate for building a stone wall and gate. He estimates that the job will take a

40-hour work week. He plans to have three laborers at $15 per hour and four masons at $25 per hour. He'll need $3268

worth of materials and wishes to make a profit of $700. Write a mathematical statement that will give the estimated cost of

the job. Then calculate this total.

Select the correct choice below and fill in the answer box to complete your choice.

Answer: Checked to see if this was right* Based on the number of hours in the work week, the cost of the laborers and masons, worth of the materials and the profit, the estimated cost of the job can be written as a mathematical statement of A. 3 x $15 x 40 + 4 x $25 x 40 + $3,268 + $700 = $

The total estimated cost is $9,768

What is the total estimated cost?

The total estimated cost of the job can be found by the formula:

= (Number of laborers needed x Cost of laborers x Number of hours in work week) + (Number of masons x cost of masons x number of hours in work week) + materials worth + Required profit

The total estimated cost is therefore:

= (3 x $15 x 40) + (4 x $25 x 40) + $3,268 + $700

= 1,800 + 4,000 + 3,268 + 700

= $9,768

Have an awesome day/night<3

Answer:

No

Step-by-step explanation:

substitute x = - 4 and y = - 17 into the left side and compare the result obtained to the right side.

2y - 3x

= 2(- 17) - 3(- 4) = - 34 + 12 = - 22 < 12

thus (- 4, - 17 ) is not a solution of the inequality

In a normal distribution, x = 9 and z = −1.21. This tells you that x = 9 is 1.21 standard deviations to the left the mean.

The z-score is a mathematical measure that allows us to see how much above or below the mean a value in a distribution is in terms of standard deviation.

When the value is above or right of the mean, the z-score would be positive and when the z-score is left or below the mean, the z-score would be negative.

In this instance, x = 9 has a z-score of -1.21 which means that it is 1.21 standard deviations to the left of the mean.

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Kelvin score 29 points in All-State Basketball team more than Brandon.

We are given that

Brandon averaged 21.25 points per game in 16 games which means that the mean of points made by Brandon in All-State Basketball team of 16 matches is 21.25

So, the total points made by Brandon is

21.25 × 16 = 340

Kelvin averaged 20.5 points per game in 18 games which means that the mean of points made by Kelvin in All-State Basketball team of 18 matches is 20.5

So, the total points made by Kelvin is

20.5 × 18 = 369

we can see that total score made by kelvin is more

The difference is 369- 340 = 29

Hence, Kelvin score 29 points in All-State Basketball team more  than Brandon.

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Answer:6.75 miles per half hour

Step-by-step explanation:6..75 miles per half hour

Using linear functions, it is found that Ginny must attend at least 13 events to make the premier member package cost less.

The complete question is given as follows:

"Ginny wants to join a local dance club that has dance events every week. There are two membership options available: Ginny may become a premier member by paying a fee of $150 per year and attend an unlimited number of dances. Ginny may become a regular member by paying a fee of $50 and then pay $8 per dance she attends. How many dances must Ginny attend such that becoming a premier member will cost less than becoming a regular member? "

A linear function is modeled in slope-intercept form by:

y = mx + b

In which:

For this problem, we have that:

Hence the functions for each option are given as follows:

Being a premier member will cost less when:

P(x) < R(x).

Hence:

150 < 50 + 8x

8x > 100

x > 100/8

x > 12.5 -> at least 13 events.

Ginny must attend at least 13 events to make the premier member package cost less.

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Answer:

17.37

Step-by-step explanation:

Answer:

.........................................................

Step-by-step explanation:

.................................................

The fraction of those who were cast got major roles is 1 / 5.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated.

Given that ninety students auditioned for the school play. One-third of those who auditioned were cast, 6 in major roles.

The fraction will be calculated as below:-

Fraction of the students cast = 90 / 3 = 30

Fraction of the students selected for major roles = 6 / 30 = 1 / 5

Therefore, the fraction of those who were cast got major roles is 1 / 5.

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Answer:

Step-by-step explanation:

a Whar grsde are u even in >:/

The solutions of the system of equations are:

x = -2, y = 4, z = -2

Here we have the system of equations:

4x - y - 2z = -8

-2x + 4z = -4

x + 2y = 6

To eliminate one variable, we can add the second equation and two times the third equation, we will get:

(-2x + 4z) + 2*(x + 2y) = -4 + 2*6

Now we can simplify that so we get:

4z + 4y = -4 + 12

4*(z + y) = 8

z + y = 8/4  =2

z + y = 2

With that we can write z in terms of y.

z = 2 - y

And with the third equation we can write x in terms of y.

x = 6 - 2y

Replacing that in the first equation we get:

4*(6 - 2y) - y - 2*(2 - y) = -8

Now we can solve this for y.

24 - 8y - y +2y - 4 = -8

20 - 11y = -8

-7y = -28

y = 28/7  = 4

Now that we know the value of y we can find the values of x and z.

x = 6 - 2y = 6 - 2*4 = -2

z = 2 - y = 2 - 4 = -2

The solutions of the system of equations are:

x = -2, y = 4, z = -2

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Answer: the one that cross -7 and -7

Step-by-step explanation:

f(x)= -x-7

y=mx+b m is the slope and the b for y-intercept form

y-intercept  (0,-7)   m= -1

-1 the line go  down from left to right

When the area A of a rectangle is represented by the formula A= lw, the formula for the length will be l = A / w.

It should be noted that the area A of a rectangle is represented by the formula A= lw

where I is the length

W is the width

It should be noted that based on the information, we want to find the formula to solve for the length.

A = lw

Divide through by w

A/w = lw/w

l = A / w

Therefore, when the area A of a rectangle is represented by the formula A= lw, the formula for the length will be l = A / w.

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-1/2 = 3/8y
Answer:

y = -4/3

answer is y= -4/3

step by step

-1/2 = 3/8y

divide both sides by 3/8 to solve for y

-1/2 divided by 3/8 = 3/8 divided by 3/8y

when you divide fractions you flip the divisor and multiply

-1/2 x 8/3 = y

-8/6 or simplified to -4/3

you can check your work by substituting your y value of -4/3 into your original equation

-1/2= 3/8y

-1/2 = (3/8) (-4/3)

-1/2 = -12/24

-1/2 = -1/2

They equal so problem solved!

Answer:

Step-by-step explanation:

The original length of the square garage is 19.1 ft.

The length of the new garage is 23.4 ft and the percentage increase in length is 81.6 %.

Yossi used to have a square garage with 364ft of floor space.

Recently, built an addition to it.

The garage is still a​ square, but now it has​ 50% more floor space

Therefore,

area of a square = l²

where

Therefore,

364 = l²

l = √364

l = 19.0787840283

l = 19.1 ft

Therefore, the original length of the square garage is 19.1 ft.

After 50% increase in the area,

New area = 50 / 100(364) + 364

New area = 546 ft²

Therefore,

546 = l²

l = √546

l = 23.3666428911

l = 23.4 ft

Hence,

percentage increase in length = 19.1 / 23.4 × 100

percentage increase in length = 1910 / 23.4

percentage increase in length = 81.6239316239

percentage increase in length = 81. 6 %

Therefore, the length of the new garage is 23.4 ft and the percentage increase in length is 81.6 %.

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Answer:

  15 : 20 : 8

Step-by-step explanation:

Given ratios a:b = 3:4 and b:c = 5:2, you want the ratio a:b:c in simplest form.

The extended ratio you want can be written only when the number of ratio units associated with 'b' is the same in both ratios. Multiplying the first ratio by 5, we get ...

  a:b = 3:4 = 15:20

Multiplying the second ratio by 4 gives ...

  b:c = 5:2 = 20:8

Now, 20 "ratio units" represent 'b' in both ratios, so we can combine them:

  a:b:c = 15:20:8

__

Additional comment

The value we chose to represent 'b' is the least common multiple (LCM) of the values that represent 'b' in the given (reduced) ratios.

The proof based on the triangle was done based on the fact that they are congruent triangles.

In this question we have  ΔABC ≅ ΔBAD

We have the following congruent sides in this triangle.

These are:

AB ≅ BA;

AC ≅ BD;

BC ≅ AD

These are corresponding angles too

∠ABC ≅ ∠BAD;

∠BCA ≅ ∠ADB;

∠CAB ≅ ∠DBA.

From the question we can see that the angles A and D can be said to be common. Hence we can say that

AE ≅ EB

Then CD would bisect AB

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Check the picture below.

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) ~\hfill AB=\sqrt{(~~ 2- (-4)~~)^2 + (~~ 3- 0~~)^2} \\\\\\ ~\hfill AB=\sqrt{( 6 )^2 + ( 3)^2}\implies \boxed{AB=\sqrt{45}}[/tex]

[tex]B(\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad C(\stackrel{x_2}{6}~,~\stackrel{y_2}{0}) ~\hfill BC=\sqrt{(~~ 6- 2~~)^2 + (~~ 0- 3 ~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 4)^2 + ( -3)^2}\implies \boxed{BC=5} \\\\\\ C(\stackrel{x_1}{6}~,~\stackrel{y_1}{0})\qquad D(\stackrel{x_2}{0}~,~\stackrel{y_2}{-3}) ~\hfill CD=\sqrt{(~~ 0- 6~~)^2 + (~~ -3- 0~~)^2} \\\\\\ ~\hfill CD=\sqrt{( -6)^2 + ( -3)^2}\implies \boxed{CD=\sqrt{45}}[/tex]

[tex]D(\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad A(\stackrel{x_2}{-4}~,~\stackrel{y_2}{0}) ~\hfill DA=\sqrt{(~~ -4- 0~~)^2 + (~~ 0- (-3)~~)^2} \\\\\\ ~\hfill DA=\sqrt{( -4)^2 + ( 3)^2}\implies \boxed{DA=5} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE Perimeter}}{\sqrt{45}~~ + ~~5~~ + ~~\sqrt{45}~~ + ~~5 ~~ \approx ~~ \text{\LARGE 23.42}}[/tex]

Answer:

3/20

Step-by-step explanation:

when multiplying fractions, you don't have to worry about changing denominators, since they will multiply together, so just multiply the numerators and denominators

2*3/5*8=6/40

Then, simplify

6/2/40/2=3/20

Answer:

3x, where x = the price of a football ticket

According to the plot, it looks like [tex]y=3.5[/tex] when [tex]x=4[/tex], and [tex]y=7[/tex] when [tex]x=5[/tex]. Then the average rate of change from [tex]x=4[/tex] to [tex]x=5[/tex] is

[tex]\dfrac{\Delta y}{\Delta x} = \dfrac{7 - 3.5}{5 - 4} = 3.5[/tex]

The dimensions of the region which enclose the maximal area is 61.5 feet by 41 feet .

Let the length of the rectangular plot be "L" and width be "w"

It is given that farmer wants to do fencing of 246 feet which means all the boundary will be covered which is given by

            [tex]L+L+w+w+w=246\\2L+3w=246\\2L=246-3w\\\\L=\frac{246}{2} -\frac{3w}{2} \\\\L=123-\frac{3w}{2}[/tex]  ...(2)

Putting the value of "L" in equation (1) , we get

       [tex]A=({123-\frac{3w}{2}}) \times w\\\\A=123w-\frac{3w^2}{2}[/tex] ....(3)

 Now , we are asked to find the maximum area then , put

            [tex]\frac{dA}{dw}=0[/tex]

           [tex]123-\frac{6w}{2} =0\\123-3w=0\\123=3w\\w=41[/tex]

Putting w = 41 in equation (3) , we will get the maximum area

  [tex]A=123(41)-\frac{3(41)^2}{2} \\\\A=5043-2521.5\\\\A=2521.5[/tex]

Putting w = 41 in equation (2) , we will get the length

   [tex]L=123-\frac{3(41)}{2} \\L=123-61.5\\L=61.5feet[/tex]

Hence , the dimensions will be 61.5 feet by 41 feet .

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