Susan works part-time in a local video store. Her salary varies directly as the number of hours
worked. Last week she earned $144 for working 16 hours. This week she earned $378. How
many hours did she work this week?

Answers

Answer 1

Answer:

42 hours

Step-by-step explanation:

First divide 144 by 16 to get the money per hour wich is 9 then divide 378 by nine and you get the awnser, 42 hours.

Thank you

Answer 2

42 hours Susan worked this week to $378.

Given that, Susan's salary varies directly as the number of hours worked.

We need to find out how many hours did she work this week.

What is the direct variation?

Direct variation is a type of proportionality wherein one quantity directly varies with respect to a change in another quantity. This implies that if there is an increase in one quantity then the other quantity will experience a proportionate increase. Similarly, if one quantity decreases then the other quantity also decreases. Direct variation is a linear relationship hence, the graph will be a straight line.

According to the question, last week she earned $144 for working 16 hours. This week she earned $378.

Let the number of hours she works this week be x.

So, the proportion is 144:16::378:x

⇒144×x=16×378

⇒x=42

Hence, 42 hours Susan worked this week to $378.

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Related Questions

Please Help!
What is the answer to this question?​

Answers

Answer:

The answer is 8

Step-by-step explanation:

I'm as smart as you. We aren't. ;D

which of the following statements is true, according to the graph?

Effect of Mints on taste

Answers

The blue bar for students who didn’t eat a mint is greater than the red bar.

The answer is the second choice. Students who did not have a mint were more accurate guessers.

can someone help me asap??

Answers

you need help on what ?

Answer:

with what?

Step-by-step explanation:

Write an expression for the
product of 4 and m.

Answers

Answer:

4m

Step-by-step explanation:

Expressions do not have equal signs,  So for the product of 2 things we just multiply them together.

4m

Answer:

4 × M = P

Explanation:

A product is the result of a multiplication expression, so in this case, We're using variables to represent numbers.

P = Product

We're multiplying 4 and M, so lets rewrite this.

4 × M

This is an incomplete expression, but what will we use for our product We can use a variable. Our variable is P. So lets complete this expression.

4 × m = p.

Or, we can put it in a less complex way.

4m.

This also is a incomplete expression, but it means 4 × m.

1/5 of x is equal to 2.
1/3 ofy is equal to 4. What is x=y?

Answers

Answer:

x=10 and y=12

Step-by-step explanation:

if 1/5 of x=2 then 5/5 x (which can be simplified to just x) is 5 times 2, which equals 10. And the same process goes for solving y.

Hope that helps!

What is the IQR of the following Data Set:
1, 3, 4, 5, 5, 7, 9

Answers

Hi there!

We can begin by splitting the data into two equal parts, ignoring the median.

The median is simply the number in the middle of the data, or 5.

Now, we can split the data, taking the three left numbers and the three right numbers.

We have:
Left: 1, 3, 4

Right: 5, 7, 9

Find the medians of these sections. These are the middle numbers again, so:
Left: 3

Right: 7

These are our 1st and 3rd quartiles, respectively. The IQR is the difference between these, so:
7 - 3 = 4 = IQR.

a
A sphere has a volume of 13.04 cm3.
Calculate the radius of the sphere.

Answers

Answer:

[tex]r=1.46 \textsf{ cm (nearest hundredth)}[/tex]

Step-by-step explanation:

Volume of a sphere = [tex]\dfrac43\pi r^3[/tex]

Given volume = 13.04 cm³

[tex]\implies 13.04=\dfrac43\pi r^3[/tex]

Multiply both sides by 3/4:

[tex]\implies 9.78=\pi r^3[/tex]

Divide both sides by [tex]\pi[/tex]:

[tex]\implies \dfrac{9.78}{\pi}=r^3[/tex]

Cube root both sides:

[tex]\implies r=\sqrt[3]{\dfrac{9.78}{\pi}}[/tex]

[tex]\implies r=1.460146149...[/tex]

[tex]\implies r=1.46 \textsf{ cm (nearest hundredth)}[/tex]

what is the domain and range of the equation f(x)=-x^2+1 for x≥0?

Answers

Answer:

Domain:

(-∞,∞)

Range:

[1,∞)

Step-by-step explanation:

Domain is all the x values

range is all the y values

graphing it would make it look easy to figurw out

Question
The demand function for ice creams is given by
D(q) = 25 – 5q,
and the supply function is
S(g) = 29,
where q is the number of ice creams in supply, in thousands. What is S(q) when 3,000 ice creams are in supply? Give your
answer as an integer, and do not include the dollar symbol or any other symbols in your answer.
Provide your answer below:

Answers

Answer:

25-5(29)=-120

Step-by-step explanation:

Answer:6

Step-by-step explanation:

We are dealing with 3,000 ice creams in supply, and so we have q=3. Hence S(q), the price of each item when q are in supply is given by

S(3)=2⋅3=6.

Given the function y = −3x + 2, fill in the output values using the input values given.

Input X Output Y
−1 _
0 _
1 _
2 _

Answers

y = - 3 * x + 2

if x = - 1

y = - 3 * (-1) + 2 = 3 + 2 = 5

if x = 0

y = - 3 * 0 + 2 = 2

if .. and so on

4 cards are drawn from random from a standard deck.

1) Find the probability that all cards are hearts.
2) Find the probability that all cards are face cards
3) Find the probability that all cards are even. (consider acres to be 1, jacks to be 11, queens to be 12 and kings to be 13).

Answers

Answer:

d

Step-by-step explanation : yun

What value of k makes the equation true?

k – 3(k + 5) – 0.5 = 3(0.25k + 4)

Answers

Answer:

k = - 10

Step-by-step explanation:

k - 3(k + 5) - 0.5 = 3(0.25k + 4) ← distribute parenthesis on both sides

k - 3k - 15 - 0.5 = 0.75k + 12

- 2k - 15.5 = 0.75k + 12 ( subtract 0.75k from both sides )

- 2.75k - 15.5 = 12 ( add 15.5 to both sides )

- 2.75k = 27.5 ( divide both sides by - 2.75 )

k = - 10

For this question it has to be k = -10

a large container contains 41 2/3 cups of lemonade.if the lemonade is to be poured into smallercups,each holding 3 1/8cups of lemonade, how many cups canbe filled

Answers

Answer:

13 but I'm not really sure

please answer this equation fast

Answers

The radius(r) is half of the diameter(d) in length --> r= d/2 ; (D)

Thus if the diameter is 3 m --> that means the radius is 1.5m (B)

Hope that helps!

The formula to finding the radius is R = diameter/2, (R= d/2)

If the diameter is 3, the formula to finding radius is d/2, 3 divided by 2 is 1.5.

1.5 is the answer for number 2.

Please help asap! I will gave brainlest!

Answers

Answer:

option D.

Step-by-step explanation:

for more info see the attachment.

If a circle has a radius of 4, what is the diameter?

Answers

Answer:

The diameter is 8 because the diameter is 2x the radius.

So 2•4=8

If a circle has a radius of four then the diameter is eight.

In which number does the digit 2 have a value that is ten times as great as the value of the digit 2 in the number 135,284?

29,831

42,938

298,893

326,894

Answers

Answer:

42,938 is the answer because 10 times 200 is 2000

About ​8% of the population of a large country is math phobic. If two people are randomly​ selected, what is the probability both are ​math phobic? What is the probability at least one is math phobic​?

Answers

Answer:

the chances both are is=.64%

the chances of only one is=15.36%

Step-by-step explanation:

8%=.08

.08x.08= .0064=.64%

1-(1-0.08)×(1-0.08)

1-.92x.92

0.1536=

15.36%

a) The probability both are math-phobic: 0.0064 or 0.64%.

b) The probability that at least one is math-phobic is 0.1536 or 15.36%.

To determine the probability that both selected people are math-phobic, we can use the multiplication rule of probability.

Since the selection is random, the probability that the second person is math-phobic is also 0.08.

To find the probability that both events occur, we multiply the individual probabilities:

Probability of both being math-phobic = 0.08 x 0.08 = 0.0064

Therefore, the probability that both selected people are math-phobic will be 0.0064 or 0.64%.

To find the probability that at least one person is math-phobic, we can use the complement rule of probability.

The probability that the first person is not math-phobic ;

1 - 0.08 = 0.92.

Similarly, the probability that the second person is not math-phobic is also 0.92.

Probability of none being math-phobic = 0.92 x 0.92 = 0.8464

Probability of at least one being math-phobic = 1 - 0.8464 = 0.1536

Therefore, the probability that at least one person is math-phobic is 0.1536 or 15.36%.

Learn more about probability here;

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How much would you pay for 14.2 gallons of gas that cost $2.08 per gallon?

Answers

Answer:

$28

Step-by-step explanation:


Find the EXACT volume of the cone above. Show your work in the box below. Be sure to include correct units.
Leave your answer in terms of pi.

Answers

ok solo multiplicar por eso

Find the answer to the following
equation.

The difference between two to the power of one hundred and two to the power of ninety-nine???

Answers

Answer:

6.3382530011411 x 10^29

Step-by-step explanation:

6.3382530011411 x 10^29 is the answer

find the product of 5 2/3 and 4 1/2. simplify you answer

Answers

Answer:

17/3x9/2=153/6=51/2=25 1/2

Step-by-step explanation:

Answer:

25.5.

Step-by-step explanation:

5 2/3 x 4 1/2 = (5+2/3)x(4+1/2)=((15+2)/3)x((8+1)/2)=(17/3)x(9/2)=153/6=25.5.

HURRYYY
ANSWER FIRST GETS 43 points

The distance from the Earth to the Moon is about a hundred times the distance from California to New York. What is a reasonable measure for the Earth-Moon distance?


a -4 times 10^-10 meters
b- 4 times -2 meters
c- 4 times 10^2 meters
d- 4 times 10^8 meters

Answers

Answer: D!!!!!!!!!!!!!

The required reasonable measure for the earth-moon distance is 4 times 10^8 meters. Option D is correct.

Given that,
The distance from the Earth to the Moon is about a hundred times the distance from California to New York. What is a reasonable measure for the Earth-Moon distance is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Options A, B, and C is reasonable false because all are impossible terms for the distance, earth to the moon.
Option D is reasonably correct because 4 * 10^8 seems larger as the distance from the earth to the moon is also larger.

Thus, the required reasonable measure for the earth-moon distance is 4 times 10^8 meters. Option D is correct.

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v/12 = 3/9 solve for v

Answers

Answer:4

Step-by-step explanation:

v/12=3/9

multiple both sides by 12 to cancel out v/12.

v=3/9*12

v=4

You invest $500 when you are 18 years old. If
your money doubles every 3 years, how much
money will you have when you are 36 years old?

Answers

Answer:

30,000

Step-by-step explanation:

I don't have explanation sorry :/


circle a has center of (-2, 1) and a radius of 3 and circle b has a center of (4, 6) and a radius of 9 which of the following will help show that circle a is similar to circle b?

1. Reflect circle A over the x axis
2. Dilate circle A by a scale factor of 13
3. Translate circle A using the rule (x-6, y-5)
4. Rotate circle A 90° clockwise about the origin

Answers

Answer: The answer is #2

Step-by-step explanation:

Let me know if this helps

PLS need help 0.85= y/0.8 - 0.1 find y

Answers

Answer:0.76

Step-by-step explanation:

Distribute the exponents 2x+1=8(x+5)+-2​

Answers

Answer:x=-37/6

Step-by-step explanation:

Babysitting for people in the neighborhood is an example of

Answers

Answer:

It is an example of helping others for free or looking after someone for money.

I hope this helps you!

Cookies are sold singly or in packages of 9 or 27. With this packaging, how many ways can you buy 54 cookies?

Answers

Let's say the packages are labeled A and B

A has 9 cookies per package

B has 27 cookies per package

We can have the following combos if we want 54 total cookies

6 of A = 6*9 = 543 of A + 1 of B = 3*9+1*27 = 27+27 = 542 of B = 2*27 = 54Answer: 3 ways total
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