Jeff and his cousin work during the summer for a roofing company. Jeff's cousin has been working
for the company longer, so his pay is 40% more than Jeff's. Last week his cousin worked 30 hours,
and Jeff worked 25 hours. Together, they earned $562.80. What is Jeff's hourly pay? Explain or
show your reasoning

Answer: x= 2 + [tex]\sqrt\\ 19[/tex]  , x= 2 - [tex]\sqrt19\\[/tex]

Step-by-step explanation:[tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \sqrt{\left(-12\right)^2-4\cdot \:3\left(-45\right)}}{2\cdot \:3}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \:6\sqrt{19}}{2\cdot \:3}[/tex]

[tex]x_1=\frac{-\left(-12\right)+6\sqrt{19}}{2\cdot \:3},\:x_2=\frac{-\left(-12\right)-6\sqrt{19}}{2\cdot \:3}[/tex]

[tex]x=2+\sqrt{19},\:x=2-\sqrt{19}[/tex]

Answer:

Step-by-step explanation:

Given

Solving for variables

1

2

Answer:

18n + 12 = 27n + 3

12-3=27n-18n

9=9n

n=9/9=1

5(x + 7) = 6(x - 5)

5x+35=6x-30

35+30=6x-5x

65=x

:.x=65

Answer:

14

Step-by-step explanation:

A number that is exactly halfway between 1 and 27 is the middle number

In other words, we want to find the median between 1 and 27

Median = (x + y) / 2

Let

x = 1

y = 27

Median = (x + y) / 2

= (1 + 27) / 2

= 28/2

= 14

Therefore, the number between 1 and 27 is 14

Answer:

Your answer to your question is 15

Step-by-step explanation:

Answer:

8x-14=26

Step-by-step explanation:

To solve this equation you first have to add 14 to both sides to cancel the -14 from the left side. Then you have to divide both sides by 8 to cancel out the 8 in front of the x and to get x alone. Then you have your answer. The answer to 8x-14=26 is x=5.

Answer:

[tex]\frac{1}{cos^2a }= tan^2 a[/tex]

Step-by-step explanation:

Explanation:-

Given   sin²a + cos²a = 1  

and

              [tex]\frac{1}{cos^{2} a} \\= \frac{sin^2a+cos^2a}{cos^2a} \\ \\\\ = \frac{sin^2a}{cos^2a} +\frac{cos^2a}{cos^2a}[/tex]

= tan²a + 1



Answer:

x= −1 /2  , y−4

Step-by-step explanation:

Answer:

x = -4 (and btw that is so cuteee)

Step-by-step explanation:

Points: (-4,-1) and (-4,-5)

m = y2 - y1/x2 - x1

m = (-5) - (-1)/(-4) - (-4)

m = -5 + 1/-4 + 4

m = -4/0

x = - 4

x not y ;w;

Answer:

-2 and 109

Step-by-step explanation:

just put that

Answer 2 and -109

Step-by-step explanation:

I did the test

Answer:

The numerator is the number on top of the bottom number (denominator)

The answer is -1

(AKA the second option)

Answer:

I think it's the 28th St. but I'm not sure.

Answer:

The answer to the question provided is

[tex] \frac{5}{24} [/tex]

Answer:

5/24

Step-by-step explanation:

0.21 is the decimal form

Answer:

410 minutes

Step-by-step explanation:

Given that:

Time for which Jesse practices trumpet in the first week = 165 minutes

Time for which Jesse practices trumpet in the second week = 245 minutes

To find:

The total amount of time rounded to the nearest 10 minutes.

Solution:

To find the total amount of time for which Jesse practices, we need to add the time taken for practice in the first week and the time taken for practice in the second week.

Therefore, total time taken = 165 + 245 = 410 minutes

It is already rounded off to the nearest 10 minutes.

Therefore, the answer is:

Total amount of time for which Jesse practices = 410 minutes

Answer:

b) y = -2/3 + 1

Step-by-step explanation:

The format for the equation is y = mx + b

(m is the slope, and b is the y intercept)

Slope is rise over run (the units the line moves up and the units the line moves to the right)

In this case, the slope is: -2/3 because it goes down 2 and to the right 3.

The y intercept is 1.

This makes our equation:

y = -2/3 + 1

Answer:

2/8

Step-by-step explanation:

Answer:

it's -2/5 !

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 1: 14

2: -2

3: 3

4: 2

5: 5

6: 6

7: -1

Step-by-step explanation:

Answer:

17.) D

18.) A

Step-by-step explanation:

length x width x height

Answer:

The slope is 2/1 and the y-intercept is -6.

Step-by-step explanation:

With the y=mx+b formula, m is the slope and b is the intercept.

Answer: -6

Step-by-step explanation:

The commission of the salesmen with the given ratio will be $175.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

The commission is $100 for $1000 in sales.

Ratio of commission to sales = 100/1000 = 0.1

With the same ratio,

Commission/1750 = 0.1

Commission = 1750 x 0.1 = $175

Hence "The commission of the salesmen with the given ratio will be $175".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ2

First, find the converting ratio for kilometers to miles, which is

1km = 1.61 miles.

Then, divide 410 on the side for miles on the ratio.

410km=254.67miles

Therefore, 410 km is equal to 254.67 miles.

Answer:

230 unit^2

Step-by-step explanation:

[tex]From\ the\ information\ provided\ we\ know\ the\ coordinates\ of\ points:\\P(-11,20),L(-11,-3),A(-1,20),Y(-1,-3)\\Hence,\\PL =AY= 20+3=23\ units\\PY=LA=11-1=10\ units\\Hence,\\As\ we\ know\ that:\\Area\ of\ a\ rectangle=Length*BreadthArea\ of\ rectangle\ PLAY=23*10\\=230\ unit^2[/tex]

Answer: First one, 25x^2y^22

Step-by-step explanation:

if you multiply y^5*2 you get y^10 and x^2

that makes x^2y^10

then, if you multiply y^3*4 you get y^12

so you have to add the y s that makes x^2y^22

Answer:

B.9

Step-by-step explanation:

What I did is I used ratio.

20:12

15:X

Cross multiply:15x12

Answer:180

The answer you get divided by 20.

180/20=9.

Answer:

B

Step-by-step explanation:

Given y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition when x = 20, y = 12, then

12 = 20k ( divide both sides by 20 )

k = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]

y = [tex]\frac{3}{5}[/tex] x ← equation of variation

When x = 15, then

y = [tex]\frac{3}{5}[/tex] × 15 = 9

Answer:

27

Step-by-step explanation: