When Susan babysat for 8 hours and did odd jobs for 3 hours, she made a total of $39. When she babysat for 2 hours and did odd jobs for 5 hours, she made a total of $31. How much does she charge per hour for babysitting and for doing odd jobs?

Answers

Answer 1

Answer:

x = charge for babysitting = $3

y = charge for doing odd jobs = $5

Step-by-step explanation:

Let

x = charge for babysitting

y = charge for doing odd jobs

8x + 3y = 39 (1)

2x + 5y = 31 (2)

Multiply (1) by 5and (2) by 3

40x + 15y = 195 (3)

6x + 15y = 93 (4)

Subtract (4) from (3)

40x - 6x = 195 - 93

34x = 102

Divide both sides by 34

x = 102 / 34

= 3

x = $3

Substitute x = 3 into (1)

8x + 3y = 39

8(3) + 3y = 39

24 + 3y = 39

3y = 39 - 24

3y = 15

y = 15 / 3

= 5

y = $5

x = charge for babysitting = $3

y = charge for doing odd jobs = $5


Related Questions

if you are good at math please help me answer all 4 please

Answers

Slope = rise/run
1. Slope is -1/3
2. Slope is 3
3. Slope is -3/2
4. Slope is 3/2

The carnival fundraiser at Westville Elementary School raised $300 on Friday. On Saturday, the carnival will raise 480 percent of that amount. Which statements are true about the amount of money that the carnival will raise on Saturday? Check all that apply.

Answers

The missing options in the question are:

a.) The answer will be less than $300 because 100 is less than 480.

b.) The answer will be greater than $300 because 480 is greater than 100.

c.) (100)(3) = 300, so 480(3) is the amount of money that the carnival will raise on Saturday.

d.) 480 + 300 is the amount of money that the carnival raised on Saturday.

e.) The carnival raised $780 on Saturday.

f.) The carnival raised $1,440 on Saturday.

Answer:

The correct options are: (b), (c), (f)

Step-by-step explanation:

Given that:

The carnival fundraiser raised $300 on Friday

On Saturday, It was stated that the carnival fundraiser will raise 480 percent of the amount raised on Friday;

i.e.

= (480% × 300)

[tex]= \dfrac{480}{100} \times 300[/tex]

= 480 (3)

= $1440

So; we are to check the given option and choose the statements that are true about the amount of money that will be raised at the carnival on Saturday.

From the above explanation;

The true statements are:

The answer will be greater than $300 because 480 is greater than 100.

(100)(3) = 300, so 480(3) is the amount of money that the carnival will raise on Saturday.

The carnival raised $1,440 on Saturday.

Simplify this equation. 20 points i think?

3/5x + 19 - 3/20x - 7

(Please show and explain what you did to simplify this problem because it doesnt make sense to me at all)

Answers

Answer:

Hey buddy, here is your answer. Hope it helps you.

Step-by-step explanation:

3/5x+19-3/20x-7

First convert the fractions so they have a common denominator and rearrange

12/20x-3/20x+19-7

9/20x+12

The Answer and yea idk

Answers

(1-2)
(4-2)
the answer would be
-1/2 :)

6 = 2(y + 2)
Solve for Y.

Answers

Answer:

6=2(y+2)

distributive property

6=2(y)+2(2)

6=2y+4

-4      -4

2=2y

--   --

2   2

divide two in both sides to get y by itself

y=1

Answer:

y = 1

Step-by-step explanation:

6 = 2 (y + 2)

Distribuite:

2 * y = 2y

2 * 2 = 4

2y + 4 = 6

Use additive inverses. The additive inverse of addition is subtraction.

Subtract 4 from both sides:

2y + 4 - 4 = 6 - 4

6 - 4 = 2

2y ÷ 2 = 2 ÷ 2

2y ÷ 2 = y

2 ÷ 2 = 1

To check our answer we multiply how much y is (which is 1) by 2.

2(1) + 4 = 6

2 * 1 = 2

2 + 4 = 6.

Solve for x,
-4/5x -3/20
x + 1/4x = -70

Answers

Answer:

x=100

Step-by-step explanation:

Simplify -4/5x-3/20x+1/4x

-7x/10=-70

Multiply both sides of the equation by -10/7.

-10/7*(-7x/10)=-10/7*-70

Simplify both of the equation.

x=100

Explain how to simplify an expression with negative exponents using the rules for multiplying monomials.
PLZZZZZ I NEED HELP ILL MAKE YOU BRAINLIEST

Answers

Answer:

Purplemath

Recall that negative exponents indicates that we need to move the base to the other side of the fraction line.

(The "1's" in the simplifications above are for clarity's sake, in case it's been a while since you last worked with negative powers. One doesn't usually include them in one's work.)

In the context of simplifying with exponents, negative exponents can create extra steps in the simplification process.

Step-by-step explanation:

One afternoon, Supreme sub shop sells 15 subs in 45 minutes. If the shop continues to sell subs at the same rate, about how many subs will the shop sell in 3 hours?

Answers

60 subs
Because it’s 15 per 45 and 45 times 4 is 180 which means that in 3 hours or 180 minutes they sold 15 times 4 amount of subs and 15 times four is 60. Hope this helps. Sorry if the explanation isn’t that good

does anyone know how to factor this?

Answers

3(4x-3)(x+6) is the answer

A shadow 16 meters long is cast by a utility pole that is 12 meters tall. What is the length of
the shadow cast by a nearby apple tree that that is 6 meters tall?
Write your answer as a whole number or a decimal. Do not round.

Answers

Answer:

10

Step-by-step explanation:

v A square garden has an area of 110 square feet. a. What is the approximate length of one side of the garden? Round to the nearest tenth.

Answers

Idkdkdndmnebebebwbwwjwo

80 points!

A store had 250 bottles of water. Each week, 40% of the bottles were sold and 48 new bottles arrived in shipments.

Which recursive function best represents the number of bottles of water in the store, given that f(0) = 250?


A. f(n) = f(n − 1) ⋅ 0.6 + 48, n > 0

B. f(n) = 250 − f(n − 1) ⋅ 0.4 + 48, n > 0

C. f(n) = f(n − 1) ⋅ 0.4 + 48, n > 0

D. f(n) = 250 − f(n − 1) ⋅ 0.6 + 48, n > 0

pls give reason

Answers

Answer:

A

Step-by-step explanation:

Given:  

Initial number of bottles = 250

Every week = 40% is sold and 48 bottles arrive.

Week 1 = 250 - (250 x 0.40) + 48 = 250 - 100 + 48 = 198

Week 2 = 198 - (198 x 0.40) + 48 = 198 - 79 + 48 = 167

Answer is: A. f(n ) = f(n - 1) • 0.6 + 48, n > 0.

what is 7.0 divided by the power of 3

Answers

Answer:

7/3

Step-by-step explanation:

Graph for 4x + 3y = -3

Answers

Answer:

Your answer is: Slope = [tex]-\frac{4}{3}[/tex] Y-intercept = [tex](0,-1)[/tex]

Graph the line using the slope and y-intercept, or two points.

Step-by-step explanation:

Graph Below : ↓

Hope this helped : )

Please help!

Find the slope

-2x + 4y = 36

Thank you!

Answers

-2x+4y=36
Add +2x to both sides
4y=2x+36
Decide every term by 4
y= 2/4x + 9

The slope is 2/4

Which domain would be most appropriate to the number of download songs?

Answers

Answer:

Step-by-step explanation:

B. Because your domain is the number of songs someone will purchase

Make a table of ordered pairs for the equation.
y= -1/3x+1
Then plot two points to graph the equation.
It’s a 10 by 10 graph and it has 4 areas

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope: -1/3

Y-Intercept: (0,1)

What is the precision of the measurement 10 feet?

Answers

Answer:

You measure the length of the paper three times and obtain the following measurements: 11.1 in., 11.2 in., and 10.9 in.

Are these shapes similar? If so please explain

Answers

Answer:

yes

Step-by-step explanation:

because it is the same shape.

The next model of a sports car will cost 14.1% less than the current model. The current model costs $55,000 . How much will the price decrease in dollars? What will be the price of the next model?

Answers

Answer:

$3900.71 is the amount of money subtracted from the next model

51099.29 is the cost of the second model

Step-by-step explanation:

in the example,-38+(-24)will be negative before finding the sum? ​

Answers

Answer:

-62

Step-by-step explanation:

Please help
How many solutions can be found for the system of linear equations represented on the graph?
A)
no solution
B)
one solution
C)
Two solutions
D)
Infinitely many solutions

Answers

C it is c ajdbdiwdidnwisnxidnend

Answer: One solution

Step-by-step explanation:

When the lines intersect in one spot, there's one solution. The lines have different slopes, so there's only one solution.

Which expression is equivalent to 6(8−n)−8 ?

Answers

Answer:

48-6n-8

40-6n

Step-by-step explanation:

Answer:

40-6n

Step-by-step explanation:

if on imagine math it is 40-6n

Someone help meee I hate my teacher she asssign nvm I’m not even gonna say

Answers

Answer:

eating lunch

Step-by-step explanation:

the total time is 60 minutes. 10 minutes is 1/6 of that. 1/6 of 18 (from eating lunch) is 3 minutes. eating lunch is correct. also i hate my teacher sm too

The answer is eating lunch

Express it in slope-intercept form.

Answers

Find slope: pick any two points
(1,3), (2,7)
(y2-y1)/(x2-x1)
(7-3)/(2-1) = 4
Y=4x+b
Plug in any point to solve for b
I used (2,7), 7=8-1, b=-1
Slope intercept form: y = 4x -1

Can y'all please help me with this !!!/!/!???......itz all in the pic
Complete all to get brainliest
~thanks~✌​

Answers

Here you go...see the attachment

Helpp!
Shamir is trying to decide between two cities to travel to for a weekend trip. The prices for a hotel room for two nights and the hotel tax rate are listed in the table
| city | cost ($) | Tax rate |
| A | 250 | 12.5% |
| B | 215 | 14.75% |
What is the difference in cost between the two cities for a weekend trip? Round to nearest cent

Answers

Answer:

$34.54

Step-by-step explanation:

city A

$250 x 1.125 $281.25

city B

$215 x 1.1475 $246.713

difference between the two cities = $281.25 - $246.713

                                                        = $34.54

The difference in cost between the two cities for a weekend trip will be $34.54.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Shamir is trying to decide between two cities to travel to for a weekend trip. The prices for a hotel room for two nights and the hotel tax rate are listed in the table.

City                Cost ($)             Tax rate

A                     $250                12.50%  

B                     $215                  14.75%

Then the difference in cost between the two cities for a weekend trip will be given as,

⇒ $250 × 1.1250 - $215 × 1.1475

⇒ $281.25 - $246.71

⇒ $34.54

The difference in cost between the two cities for a weekend trip will be $34.54.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ5

Heyyyyy plz help I don’t bite

Answers

sorry but isn’t can’t

Answer:

50.24

Step-by-step explanation:

A = Πr^2

A = 3.14(4)^2

A = 50.24

a city has a garden in the shape of an equilateral triangle with 40 feet sides. there is a walkway that runs from a gate located at the midpoint of one side of the equilateral triangle to a fountain at the opposite vertex. approximately how long is the walkway?

Answers

Answer:

The walkway is approximately 34.64 feet long

Step-by-step explanation:

The length of the sides of the equilateral triangle shaped the city garden = 40 feet

The path of the walkway = From the midpoint of a side to the opposite vertex

Therefore, we have;

Let x, represent the length of the walkway

We have that the x, a side of the equilateral triangle, and half the side of the location of the gate, forms a right triangle, with a side of the equilateral triangle representing the hypotenuse side

Therefore, we have;

40² = x² + (40/2)²

40² = x² + 20²

x² = 40² - 20² = 1200

x = √1200 = 20·√3

The length of the walkway = x = 20·√3 ≈ 34.64 feet.

Is this graph
a function
A. Yes
B. No
PLEASE HELP
14 POINTS OR BRAINLIST

Answers

Answer:   A

Step-by-step explanation:

Yes this graph is a function
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