Peter works two part time jobs. He is paid $6 er hour at job a and $9 per hour at job b. Last wee eter worked a total of 24 hours at both jobs and madr $189. Hobmny hours dud peter work at job a?

Answers

Answer 1

Answer: Peter worked 9 hours at job a

Step-by-step explanation:

Step 1

Let the number of hours worked in  job a = x

and number of hours worked in job b = y such that the total hours worked would be expressed as

x=y= 24 ---eqn 1

also since $6 and $9 dollar are paid per hour for the job  and the total amount made is $189, it should be expressed as

6x + 9y =$189--- equation 2

Step 2

Now we have gotten two expressions to solve for number of hours, we can now solve

x+y= 24 ---eqn 1

6x + 9y =$189--- eqn 2

Using elimination method, we multiply equation 1 by 6 and subtract from equation 2

6x + 9y =189

-6x+6y=144

3y=45

y= 45/3 =15

To find x

x+y = 24

x+15=24

x= 24-15

x= 9

fff

Therefore Peter worked 9 hours at job a  and 15 hours at job b


Related Questions

what is the range of the function f(x) =4^x+1 when the domain is {-1,0,3}

Answers

Answer:

(1,∞)

{y|y>1}

Step-by-step explanation:

i hope that this is what you are looking for^_^

This is just a fancy way your teacher saying that when you have an equation y=[tex]4^{x}[/tex]+1, what is y when x=-1,0,3.

We just need to solve by substituting the x in respectively.

x=-1, y=[tex]\frac{5}{4}[/tex]

x=0, y=1

x=3, y=65

Hope this helped! Any questions just put it in the comments.

Spendthrift Steve found a splendid interest rate of 11.5% for his $2500 investment. If interest is
compounded contiuously, how much will Steve have after 4 years, when he needs the money for college?

Answers

Answer:

Step-by-step explanation They will have a 11.5 they have 2000 but you di511.5÷2


(a) An angle measures 25°. What is the measure of its complement?
(b) An angle measures 91°. What is the measure of its supplement?

Answers

Answer:

A) 65 degrees

B) 89 degrees

Step-by-step explanation:

Complementary angles always add up to 90 degrees whereas supplementary angles always add up to 180 degrees

Hope it helps :)

13. SOLVE FOR X
21)
18
21
x+ 13
A) 8
C) 7
28
B) 11
D) 6

Answers

Well first go to 'Add Attachments' when your asking a question.

Click whatever file/photo that you wanna show us, and click done.

See?

Ta da~

I WILL GIVE BRIANLIEST!!!!!!!!

Please, I really need to get these right because I’m redoing it for full credit and I have an F in math, help me with as many as you can but don’t guess because I really need this. Even if you see other people’s answers, please give me your feedback still.

You will have to zoom in to see this one.
It says :
Graph the linear function in questions 5 and 6.
Y= 1/3x - 4

Answers

The third one because rise/run and -4 is the y
The third one ( your welcome

I NEED HELPPPPP. SOMEONE ANSWER THISSSS

Answers

Answer:y=415 x = 21.5

Step-by-step explanation:

We can see 4x-37 = 49

4x = 86

x = 21.5

4(21.5) -3 = 83

Then we can see what the other side is because they are equal

y/5 = 83

83 x 5 = 415

y=415

The answer is Y= 415 X

Explanation

10. Write an expression in simplified form to
represent the area of the trapezoid.

Answers

Answer:

48[tex]x^{7}[/tex]y

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases , then

A = [tex]\frac{1}{2}[/tex] × 4[tex]x^{5}[/tex] × (9x²y + 15x²y )

   = 2[tex]x^{5}[/tex] × 24x²y

   = 48[tex]x^{7}[/tex]y

The simplified expression for the area of the trapezium is 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex].

What is trapezium?

A trapezium is a quadrilateral with four sides where two sides are parallel to each other.

We have,

Trapezium.

Height = 4[tex]x^5[/tex]

Parallel sides are 15x²y and 9x²y.

The area of the trapezium.

= 1/2 x h x ( sum of the parallel sides )

Now,

Area of the trapezium.

= 1/2 x 4[tex]x^5[/tex] x (15x²y + 9x²y)

= 2[tex]x^5[/tex] x (15x²y + 9x²y)

= 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex]

Thus,

The area of the trapezium is 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex].

Learn more about trapezium here:

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Can somebody plz help answer all these questions (like what to add to solve it)
Thanks:3

WILL MARK BRAINLIEST WHOEVER ANSWERS THIS FIRST :DDD

Answers

18. 9
19. 5
20. 12
21. 8
22. 2
9,5,12,8,2...........

WILL GIVE BRAINLIEST, please hurry!!!!

Answers

i’m pretty sure it is the last option. d.
THIRD ONE
CAUSE 8/10 X 4/5 IS 16/25 NOT 32/5

HELP MEHHH, WILL MARK BRAINLIEST!!! NEED ANSWER TO Q 3

Answers

if each book is $7.35 each then John would be able to buy 4 books which would be a total of $29.40

Scale on a map of Ireland is 1.2 000000 how many square centimetres are represented on the map by the province of Munster.

Answers

Question is incomplete, we will however explain how the scale works using examples

Answer and explanation:

Given the map scale 1:2000000, the fraction from this 1/2000000 is the representative fraction. The representative fraction is the ratio of distance on the map to the real distance on ground.

With the representative fraction 1/2000000, we can find how many meters on the ground is represented by a unit of measurement in centimeters on the map thus:

Given 1m= 100cm

Representative fraction broken down = 1/2×10000×100

Therefore 1cm on the map = 20000m on ground

Find a solution to the linear equation −8x−y=24 by filling in the boxes with a valid value of x and y

Answers

Answer:

X= 24+7/8 | Y=  24-8x

Steps for answers:

For X:

1. Add y to both sides.

-8x=24+y

2. Divide both sides by -8.

x=-24+y/8

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

For Y:

​1. Add 8x to both sides.

-y=24+8x

2. Multiply both sides by -1.

y=-24-8x

Done by NeighborhoodDealer :

John is painting a box that is shaped like a cube. 1/10 of a bottle of paint covers 2/5 of the box. How many cubes can he paint with 2 bottles of paint?

Answers

Answer:

8

Step-by-step explanation:

1/10 bottle of paint covers 2/5 of box

2 bottles of paint will cover x of box

Using cross multiplication :

1/10 = 2 / 5

2 = x

(1 / 10)x = 2/5 * 2

x / 10 = 4 / 5

Cross multiply :

5x = 40

Divide both sides by 5

x = 40/5

x = 8

Hence, 2 bottles of paint will be used to paint 8 boxes

I really need help I have 20min to finsh this test when u start it and I have already used 14min of it​

Answers

Answer:

m = -2

b= -6

Step-by-step explanation:

Answer:

the gradient or slope I guess is -2

and the y intercept is -6

PLEASE HELP ME ANSWER IF YOU HURRY ILL GIVE POINTSSSS

Answers

Answer:

3rd one and the 4th one

Step-by-step explanation:

Hopt it helps.....

Can someone please help me on this and explain if you can!

Answers

Answer:

x = [tex]11\sqrt{2}[/tex]

y = [tex]11\sqrt{2}[/tex]

Step-by-step explanation:

the ratio of the sides of a 45 - 45 - 90 triangle is shown at the bottom of this answer.

as you can see, it is x:x:[tex]x\sqrt{2}[/tex]

The side given is x[tex]\sqrt{2}[/tex], so you have:

[tex]x\sqrt{2}=22[/tex]

divide both sides by [tex]\sqrt{2}[/tex]

x = [tex]22/\sqrt{2}[/tex]

multiply this by [tex]\sqrt{2} /\sqrt{2}[/tex]

[tex]x = 22\sqrt{2}/2[/tex]

[tex]x=11\sqrt{2}[/tex]

y is also equal so y = [tex]11\sqrt{2}[/tex]

identify the percent of change as an increase or a decrease 3/8 to 7/8

Answers

Answer:

133.5

Step-by-step explanation:

432÷73 estimate by rounding the expression to relate ro one digit​

Answers

I don’t know sorry, i wanna help u

answer- 5.9

Step-by-step explanation:

divide 432 by 73

Hey there, I really need help! I don't understand how to solve this. PLEASE HELP ME!!

Answers

Answer:

B

Step-by-step explanation:

look at the pic :) what’s 15 and 16?

Answers

Answer:

8 miles per minute

A. 3.6

B. 5.9

C. 4.7

D.

Answer:

15. 0.125 miles a minute/16 a. 0.274     b. 0.181    c. 0.210      d. 60 packets for 10.9 is the best option.

Step-by-step explanation:

24% students in a clan were absent in a day .If 38 students were present ,what is the total strength in the clan

Answers

Answer:

50 students

Step-by-step explanation:

24% students in a clan were absent in a day .

Hence, the Percentage of students present is calculated as:.

= 100 % - 24 %

= 76%

From the question, we know that:

If 38 students were present ,what is the total strength in the clan

The total strength of the clan = Total number of students. This is calculated as:

76% × x = 38 students.

76/100 × x = 38

76x /100 = 38

Cross Multiply

76x = 38 × 100

x = 3800/76

x = 50 students


Find the equation of the line whose slope is 1/3
and goes through the point (3, 1).

A. y= 1/3x
B. y= 1/3x + 1
C. y= 1/3x + 2
D. y= 1/3x + 8/3

Answers

Answer:

It means that when x = 3, y = 1, obviously when the first function expression takes 3, y = 1

PLEASE HELP! GIVING POINTS :)!

Answers

Answer:

$20

20% of 25 is $5, therefore 20 - 5 would be the final cost of the hat

You can buy six cans of root beer for $18. How much will she pay for 27
cans?

Answers

Answer:

162$$

Step-by-step explanation:

Directions: Solve for x in the inequalities below. Graph and check your solution.
Problem
Graph
Check by Using Substitution
4x + 7 > -21














2x – 2 < -5














10x + 9 < -44







Directions: Solve for x in the inequalities below. Graph and check your solution.
Problem
Graph
Check by Using Substitution
4x + 7 > -21














2x – 2 < -5














10x + 9 < -44














-8x + 4 > -20






















-8x + 4 > -20

Answers

Answer:

hi

Step-by-step explanation:

Answer:thanks for 23 points

Step-by-step explanation:

GOOD AT MATH!! PLEASE HELPPP

Answers

Square root of 13^2 - 12^2 = 5

Answer:

B. 5

Step-by-step explanation:

Use the pythagorean theorem to solve: [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex].

[tex]a^{2}[/tex]+[tex]12^{2}[/tex]=[tex]13^{2}[/tex]

[tex]a^{2}[/tex]+144=169

Subtract 144 from 169.

[tex]a^{2}[/tex]-144=169-144

[tex]a^{2}[/tex]=25

Square root to get a.

[tex]\sqrt{a}[/tex]=[tex]\sqrt{25}[/tex]

a= 5

An inverse variation includes the points (15,1) and (n,5). Find n

Answers

Inverse variation: y=k/x

1. plug in the values: (15,1)
1=k/15

2. solve for k

3. Now, plug in what you can for the second point: (n,5)
5=k/n (if you do the step above, you will know “k”.

4. Solve for “n”


The value of n is, 75.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

An inverse variation includes the points (15, 1) and (n, 5).

Now, We know that;

The inverse variation is defined as,

⇒ y = k x

Here, An inverse variation includes the points (15, 1) and (n, 5).

Hence, Substitute x = 15, and y = 1;

⇒ 1 = k × 15

⇒ k = 1/15

And, Substitute x = n and y = 5;

⇒ y = k x

⇒ 5 = 1/15 × n

⇒ 5 × 15 = n

⇒ n = 75

Learn more about the proportion visit:

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FREE PLEASE HELP
Question: Solve for x

Answers

Answer:

x+9_3

Step-by-step explanation:

N a certain​ year, the amount A of garbage in pounds produced after t days by an average household is given by Aequals 7.5t.

Answers

Answer:

The answer is below

Step-by-step explanation:

In a certain​ year, the amount A of garbage in pounds produced after t days by an average household is given by A = 7.5t.

Plot a graph for t > 0

how many days it will take to get 200 pounds of garbage.

Solution:

a) Let the time in days (t) be on the x axis and the amount of garbage (A) in pounds be on the y axis. Therefore:

At t = 0; A = 7.5(0) = 0

At t = 10; A = 7.5(10) = 75

The graph was plotted using the geogebra online graphing tool.

b) number of days require to get 200 pounds of garbage can be gotten by finding the value t for which A = 200. Therefore:

A = 7.5t

t = A / 7.5 = 200 / 7.5

t = 26.67 days

Does this system have one
olution,
5x + 3y = 1
35x + 21y = 2
Choose the correct answer below.
o One solution
0 Infinitely many solutions
O No solution

Answers

Answer:

infinitely many solutions cuz in mathmatices any problem has solution

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