Nadia charges $5.50 an hour for babysitting. She babysits 17.50 hours the first week of the month and 21 hours the second week of the month.


Suppose Nadia raises her rate by $0.55 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month?

Answers

Answer 1

Answer:

about 34 hours

Step-by-step explanation:

Answer 2

Answer:

35 hours.

Step-by-step explanation:

To achieve an answer to this question, we'll have to set two expressions equal to each other.

Let's first start by calculating how much Nadia has made in the first two weeks of the month. We can do this by adding the amount of hours she works in the first and second week together:

[tex]21+17.5[/tex]

[tex]=38.5[/tex]

Let [tex]h[/tex] equal hours.

Set up your first expression:

[tex]5.50h[/tex]

Let's go ahead and substitute 38.5 into the expression to see how much money she will make the first two weeks of the month at a rate of $5.50 an hour:

[tex]5.50(38.5)[/tex]

[tex]=211.75[/tex]

We are told that Nadia raises her rate by $0.55, so we'll need to add 0.55 to 5.50 in order to find her increased rate:

[tex]5.50+0.55[/tex]

[tex]=6.05[/tex]

Set up your second expression:

[tex]6.05h[/tex]

Now, set this equal to how much she made the first two weeks at a rate of $5.50 an hour:

[tex]211.75=6.05h[/tex]

Divide both sides of the equation by the coefficient of [tex]h[/tex], which is [tex]6.05[/tex]:

[tex]35=h[/tex]

Therefore, it will take Nadia 35 hours to earn the same amount of money she made in the first two weeks of the month.

_

Check your work by substituting 35 for [tex]h[/tex] in the equation below:

[tex]211.75=6.05h[/tex]

[tex]211.75=6.05(35)[/tex]

[tex]211.75=211.75[/tex]

Since both sides of the equation are equal to each other, our answer is correct!


Related Questions

3x²-75=0 find the square root​

Answers

Answer:

[tex]x=\pm5[/tex]

Step-by-step explanation:

First, add 75 to each side.

[tex]3x^2-75+75=0+75\\3x^2=75[/tex]

Next, divide each side by 3.

[tex]x^2=25[/tex]

Now, you can take the square root.

[tex]x = \pm\sqrt25}[/tex]

[tex]x=\pm 5[/tex]

By what expression can 3
x-1 be multiplied to yield the product 3x3+5x2+x-1?

Answers

Answer:

x^2 + 2x + 1

Step-by-step explanation:

Divide the original equation by 3x-1

All the comic books in a store are the same price. Vera
buys 3 comic books for $7.50. How much do 5 comic
books cost? How much do 8 comic books cost?

Answers

Answer:

The price for 3 comics is $12.50 and the price for 8 comics is $20.00.

Step-by-step explanation:

To calculate the price of one comic, we can divide the price of the comics by the amount bought:

= $7.50 ÷ 3

= $2.50

Therefore, one comic is $2.50

To figure out how much 5 and 8 comics are, just multiply these numbers by the price of one:

= 5 x $2.50

= $12.50

= 8 x $2.50

= $20.00

The price for 3 comics is $12.50 and the price for 8 comics is $20.00.

Change the number below into scientific notation. 3,450,000,000

Answers

Answer:

3.450*10^4

Step-by-step explanation:

3.45x10^9 is the correct answer for scientific notation

ANALYZEPLANSOLVEJUSTIFYEVALUATE Pay close attention as you work through this process. You'll be asked to write a journal entry at the end. Bottled water comes in cases of 24 bottles. You need 150 bottles of water for a school event. How many cases of water do you need to buy? Enter a unit that best describes the number. CHECK Number Unit Description

Answers

Answer:

7

Step-by-step explanation:

If a case contains 24 bottles, and if I need to buy 150 bottles, I would need to buy 150 / 24 = 6.25

Because the store would not sell the quarter of a case, I would need to buy 7 cases of water.

Hi I need help :( Pls show your working..Will give brainliest for helpful answer​

Answers

Answer:

number 10

dy/dx =(dy/dt).(dt/dx)

now find

dy/dt=4t-1. , dt/dx=1

so : dy/dx=(4t-1).(1)

dy/dx= 4t-1 ,we have x=t-3-----> t=x+3

subtitute at t

dy/dx= 4(x+3)-1=4x+12-1= 4x+11

I promise u your gonna have a bright future if u help me with this ! and I'll brainlist ​

Answers

a)
x 0 1 2 3 4
y 5 10 15. 20. 25

b) x 0 1 2 3. 4
y 1. 10. 37. 82. 145

11. A) x = 0

y = 2x + 5

=> y = 2 * 0 + 5

=> y = 0 + 5 = 5

=> y = 5 (First blank)

x = 1

y = 2x + 5

=> y = 2 * 1 + 5

=> y = 2 + 5 = 7

=> y = 7 (Second blank)

x = 2

y = 2x + 5

=> y = 2 * 2 + 5

=> y = 4 + 5

=> y = 9 (Third blank)

x = 3

y = 2x + 5

=> y = 2 * 3 + 5

=> y = 6 + 5

=> y = 11 (Fourth blank)

x = 4

=> y = 2x + 5

=> y = 2 * 4 + 5

=> y = 8 + 5

=> y = 13 (Fifth blank)

11. B)  x = 0

=> y =  

=> y = 3 * 0 * 0 + 1

=> y = 0 + 1

=> y = 1 (First blank)

x = 1

=> y =  

=> y = 3 * 1 * 1 + 1

=> y = 3 + 1

=> y = 4 (Second blank)

x = 2

=> y =  

=> y = 3 * 2 * 2 + 1

=> y = 12 + 1

=> y = 13 (Third blank)

x = 3

=> y =  

=> y = 3 * 3 * 3 + 1

=> y = 27 + 1

=> y = 28 (Fourth blank)

x = 4

=> y =  

=> y = 3 * 4 * 4 + 1

=> y = 48 + 1

=> y = 49 (Fifth blank)

For more info, here's a picture,

If my answer helped, kindly mark me as the Brainliest!!

Thank You!!

On their last history test, Eric scored five more than twice the points that his friend Josh did. If they scored 134 points altogether, find Eric’s score
plz i need help ASAP

Answers

Answer: Eric got a 91

Step-by-step explanation:

Make two equations:

We know Eric scored 5 points more than 2 times Josh’s score. E=Eric J=josh

Equation: E = 5 + 2(J)

E + J = 134

Solve for E:

J= 134 - E

Plug it into first equation: E= 5+ 2(134-E)

E= 5+(268-2E) add 2E from each side

E+ 2E = 268 + 5 reduce

3E = 273 divide by 3 to find Eric score

E= 91

You can plug it back in to find what josh received 134-91 = 43

To fact check if you multiple josh score of 43 by 2 you receive 86 which is indeed 5 points lower that 91 so it’s correct.

A certain test is scored by adding 1 point for
each correct answer and subtracting 1/4 of a
point for each incorrect answer. If Jan answered
31 questions correctly and 9 questions incor-
rectly, what was her score?
a. 28 3/4
b. 28 1/4
c. 26
d. 22 1/4

Answers

Answer:

A

Step-by-step explanation:

31 correcct answers gives her 31 points, then you subtract 9/4 for the 9 incorrect answers to get twenty eight and 3/4

Can someone guide me step by step on how I hack my grades on a apple/hp laptop

Answers

Answer:

no sorry lol but just try harder

Charlene Langhorst's gross weekly salary is $680. Her federal withholding is $101.62. Her employer takes out the standard rates for FICA (Social Security/Medicare). The state tax is 1.5% of gross pay. Each week she pays $32.40 for medical insurance. What are Charlene's total weekly deductions? *

Answers

Answer:

Total deductions =  $196.24

Step-by-step explanation:

Gross weekly salary = $680

federal holding = $101.62

FICA standard rate = 7.65% of gross earnings

= 7.65% of $680 = 0.0765 × 680 = $52.02

∴ FICA deductions = $52.02

state tax = 1.5% of gross pay = 1.5% of $680

state tax = 0.015 × 680 = $10.2

∴ state tax = $10.2

Medical insurance = $32.40

Total Deductions = 101.62 + 52.02 + 10.2 + 32.40 = $196.24

pls help this is due today

Answers

Answer:

50.137

Step-by-step explanation:

You can split the triangle into two triangles both with base 3 and height 12

The area of the two triangles is

[tex]2 * (1/2) * B * H\\B*H = 3* 12 = 36[/tex]

The area of a circle is [tex]\pi r^2[/tex]

so the area of the semi circle with r(adius) 3 is

[tex]\pi r^2/2\\9\pi/2[/tex]

[tex]9\pi/2 + 36 = 50.137[/tex]

what is the answer to

-6+n=6
How do you solve it

Answers

Answer:

n=12

Step-by-step explanation:

-6+n=6

n=6+6

n=12

You have to leave the n by its self so u have to do the opposite of the sign -6 =6 so add the 6 to the other side which gives you 12 so n=12

Which of the following forms a proportion?
5/9 = 14/18 3/5 = 21/35 6/12 = 18/34 1/8 = 2/24

Answers

Answer:

3/5 = 21/35

Step-by-step explanation:

if you reduce 21/35 it is 3/5 so it is the same thing

Are 3/4 and 16/20 equivalent? Why or why not is one fraction smaller/larger than the other? How do you know

Answers

Answer:

No they are not equivalent because 3/4 would be equivalent to 6/8, 9/12, 12/16/ 15/20. 16/20 would be the greatest fraction because in its simplest form it would be 4/5.

plz help me its due soon :( im sad

Answers

Answer:

your answer should be 25 feet

Step-by-step explanation:

Answer:

why are you sad

Step-by-step explanation:

25 ft

Bags of cat food can be
purchased in the sizes shown.
Drag the bags to the boxes to
order them based on their price per ounce

Answers

Answer:

(72 oz.     $17.99)------------>Least expensive

(32 oz.     $7.32)------------>middle

(48 oz.     $9.60)------------>most expensive

Step-by-step explanation:

Once you understand how to do it, it's easy!

Just divide the ounces by the price to findout the cost

72 ÷ 17.99 = 4.00

32 ÷ 7.32  = 4.37

48 ÷ 9.60 = 5.00

4.00 < 4.37 < 5.00

Least, Middle, most

Good Job! Pls Brainliest!   ;)

Let $f(x) = 2x - 3$ and $g(x) = x + 1$. What is the value of $f(1 + g(2))$?

Answers

Answer:

The value of f(1 + g(2)) is 5

Step-by-step explanation:

Let us solve the question

∵ f(x) = 2x - 3

∵ g(x) = x + 1

We need to find the value of f(1 + g(2))

That means we will replace x in f(x) by 1 + g(2)

→ g(2) means substitute x in g by 2

∵ g(x) = x + 1

∵ x = 2

∴ g(2) = 2 + 1

g(2) = 3

∵ x of f = 1 + g(2)

∵ g(2) = 3

∴ x of f = 1 + 3

x of f = 4

→ To find f(1 + g(2)) substitute 1 + g(2) by 4

∵ f(x) = 2x - 3

∵ x = 4

∴ f(4) = 2(4) - 3

∴ f(4) = 8 - 3

f(4) = 5

f(1 + g(2)) = 5

need answer asap Whole numbers: ___ + ___ + ___ = _____ cups of soup mix.

Answers

Answer:

1+2+3=6 lol jk i dont have the numbers that they gave you

Step-by-step explanation:

2x + 3y = 6

y = 2/3x - 2
y = 2/3x + 2
y = -2/3x - 2
y = -2/3x + 2

Answers

Answer:

y= −2/3x+2

Step-by-step explanation:

2x+3y=6

Add -2x to both sides.

2x+3y+−2x=6+−2x

3y=−2x+6

Divide both sides by 3.

3y/3=−2x+6/3

what is 0.72 equivalent to?​

Answers

Answer:

18/25

Step-by-step explanation:

Answer:

72%, or, 18/25

Step-by-step explanation:

I just converted 0.72 into a percentage and a fraction. I hope this helps! :P

10 points
Find the DISTANCE between point (3, -8) and point (-11,5). *

Answers

Answer:

19.1

Step-by-step explanation:

Two negative consecutive integers have a sum of -39. What are the
integers?

Answers

Answer:

I think the integers are -19 and -20.

Step-by-step explanation:

Hope this helps!

Jaime needs a new roof on her house. The cash cost is $7500. She decides to finance the project by paying 20% down , with the balance paid in 36 monthly payments of $189.40. (a) What finance charge will Jaime pay? (b) What is the APR to the nearest half percent ?

Answers

Answer:

(a) What finance charge will Jaime pay?

$818.4

(b) What is the APR to the nearest half percent ?

8.5%

Step-by-step explanation:

(a) What finance charge will Jaime pay?

The cash cost is $7500. She decides to finance the project by paying 20% down

Amount paid for down payment = $7500 × 20/100

= $1500

Amount left = $7500 - $1500

= $6000

The balance paid in 36 monthly payments of $189.40.

Hence: $189.40 × 36 = $6818.4

The finance charge = $6818.4 - $6000

= $818.4

(b) What is the APR to the nearest half percent ?

Step 1

Finance charge/ Amount left × 100

= 818.4/6000 × 100

= 13.64

Using the APR table:

The APR to the nearest half percent = 8.5%

If f(x) = 2 + 6x and g(x) = x2 +3 , determine g(4).

Answers

Answer:

The answer is 19.

Step-by-step explanation:

You have to substitute x = 4 into the function of g(x) :

g(x) = x² + 3

g(4) = 4² + 3

g(4) = 16 + 3

g(4) = 19


The 12th term of the sequence is 16 the term to term rule is subtract 3.
Work out the 5th term of the sequence. *​

Answers

Answer:

a₅ = 37

Step-by-step explanation:

The term to term rule ' subtract 3 ' is the common difference d of an arithmetic sequence with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁₂ = 16, then

a₁ + 11d = 16 ← substitute d = - 3

a₁ + 11(- 3) = 16

a₁ - 33 = 16 ( add 33 to both sides )

a₁ = 49 , then

a₅ = 49 + (4 × - 3) = 49 - 12 = 37

Can I please get HELP? ( Picture included)

Answers

Answer:

no entiendo la version de esa mathematica

Step-by-step explanation:

Answer:

i think it is 26.

Step-by-step explanation:

180-134=46

180-160=20 so

ABC (46)- XYZ (20)=26.

Factorise Fully:
21b-3b^2

Answers

See attachment for math work and answer.

The temperature in Monarch, Wisconsin, was -3° F at 6:00 a.m. The temperature rose 12 degrees in 9 hours. What was the temperature in Monarch at 3:00p.m.?​

Answers

Answer:

9 degrees

Step-by-step explanation:

The temperatire was -3 and then rose by 12, -3 + 12 = 9

Which one of the relationships described is not proportional?

a.
Cedrick earns $9.75 for each day he pet-sits; is the relationship between the money he earns and the days he works proportional?

b.
Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?

c.
The length of the side of a square and its perimeter; is the relationship between the measurements proportional?

d.
A car travels at a constant speed of 35 miles per hour is the relationship between the distance and the time proportional?


Answers

Answer:

Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?

Step-by-step explanation:

i just did it

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