Every week, Hector works 20 hours and earns $210.00. He earns a constant amount of money per hour.
Part A
Write an equation that can be used to determine the number of hours, h, Hector works given the number of weeks, W.
Enter your equation in the space provided

Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.
Enter your equation in the space provided.

Every Week, Hector Works 20 Hours And Earns $210.00. He Earns A Constant Amount Of Money Per Hour.Part

Answers

Answer 1

Answer:

A). h = 20 w

B). m = 10.5h

Step-by-step explanation:

Part (A).

Let the total number of hours Hector worked = h

And total number of weeks worked by Hector = w

Therefore, number of hours Hector worked in a week = [tex]\frac{h}{w}[/tex]

Since, total number of hours worked in a week = 20

Equation will be,

20 = [tex]\frac{h}{w}[/tex]

h = 20w

Part (B).

Per hour earning of Hector = [tex]\frac{\text{Total earning}}{\text{Number of hours worked}}=\frac{210}{20}[/tex]

[tex]\frac{m}{h}=10.5[/tex]

m = 10.5h


Related Questions

Kate is going on a long distance car trip. She begins with 16 gallons of gas in her car and her car burns 3 gallons of gas each hour. If she ends her road trip with 1 gallon of gas left in the tank, how many hours was she driving

Answers

9514 1404 393

Answer:

  5 hours

Step-by-step explanation:

Starting with 16 gallons and ending with 1 gallon means that Kate has used 15 gallons of gas. Burning 3 gallons per hour means her travel time was ...

  (15 gal)/(3 gal/h) = 5 h

Kate was driving for 5 hours.

Pls help me with this!!

Answers

W33D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Assuming the dilatation is centred at the origin.

Then multiply each set of coordinates by the scale factor [tex]\frac{1}{3}[/tex] , thus

(- 12, 3 ) →  [tex]\frac{1}{3}[/tex](- 12), [tex]\frac{1}{3}[/tex] (3) ) → (- 4, 1 )

(0, 6 ) → ( [tex]\frac{1}{3}[/tex] (0), [tex]\frac{1}{3}[/tex] (6) ) → (0, 2 )

(3, - 3 ) → ( [tex]\frac{1}{3}[/tex] (3), [tex]\frac{1}{3}[/tex] ( - 3 ) ) → (1, - 1 )

What is the momentum of a 2000-kg car traveling at 20 m/s?
a. O kg m'sec
b. 0.001 kg'm'sec
c. 100 kg m sec
d. 40,000 kg m sec

Answers

Answer:

D

Step-by-step explanation:

force = mass × acceleration

Answer: D

Step-by-step explanation:

Hue is arranging chairs. She can form 6 rows of a given length with 3 chairs left over, or 8 rows of that
same length if she gets 15 more chairs. Complete the equation and solve it to find how many chairs are inthat row length. In your equation, use the variable x to represent the number of chairs in each row.

Answers

Answer:

8r + 15 = x

Step-by-step explanation:

So being that they can form 6 rows but have 3 left over we know that there are more than three chairs in each row. So for example:

6r + 3 = x

or (x = chairs, r = chairs in the row)

8r + 15 = x

An ant travels at a constant rate of 30 cm every 2 minutes

1. At what pace does the ant travel per centimeter
2. At what speed for the ant travel per minute

Answers

Answer:

Step-by-step explanation:

1cm every 4 seconds

15 cm per minute

Answer:

15

Step-by-step explanation:

1/15 of a minute per centimeter.

The speed is 15 centimeters per minute.

Please help show work Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds. Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
(a) What is the system that models this situation?
(b) Which of the following is a solution to the system: 2 lb peanuts and 3 lb mixture; 2.5 lb peanuts and 2.5 lb mixture; 4 lb peanuts and 1 lb mixture? Show your work.

Answers

Answer:

A) a ratio system

B)The 4 lb peanuts and the 1 lb mixture because the 4lb added to the 1lb of mixture give the correct percentages.

Step-by-step explanation:

I hope this helps :)

-ㄚㄩ尺丨

14.
The graph shows the decrease in the value, v, of a commercial
jet over time, t, measure in years.


Which equation best represents the graph?
F v(t) = 5.5t + 110

G v(t) = -5.5t + 110

H v(t) = -110 + 110

J v(t) = 11t + 110

Answers

Step-by-step explanation:

hugs did ta don't think she knows what that was you baby girl so ti you but I'm not sure what you mean 4buy64g7gugugguvbb Jo is my first year of my first time doing your opinion how are ilocano or so I will get you a quote please let your opinion how much I love sorry na please ❣️❣️ you ❣️❣️❣️❤️ you

help plzz hurry i didnt study and need help

Answers

I think 3=95 4=85 :)

Troy needs to complete 45 hours of training. During the fall, Troy completed 12 hours of training, and during the spring he completed twice as many hours as he had during the fall. Which equation can be used to find how many more hours of training (h) Troy needs to complete? Select one:

Answers

Answer:

[tex]36 + h = 45[/tex]

[tex]h = 9[/tex]

Step-by-step explanation:

Given

[tex]Total = 45[/tex]

[tex]Fall = 12[/tex]

[tex]Spring = 2 * Fall[/tex]

Required

Determine the equation to find the hours (h) left

The sum of the hours spent during the fall, spring and the hours left must be equal to the total hours.

In other word;

[tex]Fall + Spring + h = Total[/tex]

Substitute 2 * Fall for Spring

[tex]Fall + 2 * Fall + h =Total[/tex]

Substitute values for Fall and Total

[tex]12 + 2 * 12 + h = 45[/tex]

[tex]12 + 24 + h = 45[/tex]

[tex]36 + h = 45[/tex]

The above represents the equation,

Solving further for h

[tex]h = 45 - 36[/tex]

[tex]h = 9[/tex]

Hence, there are 9 hours left

What is the factored form of the expression 5p^3-10p^2+3p-6

Answers

Answer: (5p^2+3)(p-2)

Step-by-step explanation:

In this problem, we need to write the factor form of expression .

5p^3-10p^2+3p-6

It can be done as follows :

5p^3-10p^2+3p-6=(5p^3+3p)+(-10p^2-6)

Taking common form the terms as follows :

=p(5p^2+3)-2(5p^2+3)

It can be also written as :

=(5p^2 +3)(p-2)

Hence, the factored form of  is

Answer:

(p-2)(5p^2+3)

Step-by-step explanation:

see the image

Rewrite 65% as a decimal number.

Answers

Answer:

.65 hope this helps :))

can someone help me with this I really don't understand​

Answers

It’s increasing by 1,2 so keep going by 1,2 and see if u get to 20,13 if not it means it’s not on that line

Answer:

No

Step-by-step explanation:

Because the constant of proportionality is not equivalent to 20,13.

Can I have brainliest?

Help me please 12 and f

Answers

Answer:

It is not equivalent.

Step-by-step explanation:

You have to expand the brackets :

(x-4)(x+3)

= x(x) + x(3) - 4(x) - 4(3)

= x² + 3x - 4x - 12

= x² - x - 12

Therefore, x² - x - 12 / (x-4)(x+3) is not equivalent to x² - 4x - 12.

PLEASE HELP!

Find four numbers, the
sum of which is 45, so
that if 2 is added to
the first number, 2 is
subtracted from the
second number, the third
number is multiplied by
2, while the fourth
number is divided by 2,
then the four numbers so
produced are all the
same.

Answers

45

Step-by-step explanation:

45 +2=47

47-2=45

45×2=90

90÷2=45

Find the solution to the equation shown below.

–3.4(x – 2) = 9.8 – 4x

Answers

Answer:

X= 5

Explanation (Steps):

Step 1: Simplify both sides of the equation.

−3.4(x−2)=9.8−4x

(−3.4)(x)+(−3.4)(−2)=9.8+−4x(Distribute)

−3.4x+6.8=9.8+−4x

−3.4x+6.8=−4x+9.8

Step 2: Add 4x to both sides.

−3.4x+6.8+4x=−4x+9.8+4x

0.6x+6.8=9.8

Step 3: Subtract 6.8 from both sides.

0.6x+6.8−6.8=9.8−6.8

0.6x=3

Step 4: Divide both sides by 0.6.

0.6x0.6=3/0.6

x=5

Will give brainliest
Problem 12

Answers

Answer:

44 yards

Step-by-step explanation:

Answer:

wouldn't you just do 14 times 8? If so it would be 112 yards (i might be wrong tho..)

Lucas bought an 8 pack if bottled iced tea. Each bottle contained 14.75 fluid ounces. What was the totals number of fluid ounces in all the bottles? ​

Answers

Answer:

118 fluid ounces in all.

Step-by-step explanation:

The answer 118 because 14.75 multiplied by 8 is 118.

help? i need to due right now

Answers

Answer:

200

Step-by-step explanation:

five ninths plus four sixths have a nice day Owo

Answers

Answer:

Shoyo here!

Step-by-step explanation:

1.22222222222

hehe, that's a long number- have a nice day! <3

The amount of revenue brought in by states from motor vehicle licenses increased at a relatively constant rate of 499.79 million dollars per year from 1990 to 2000. In 2000, the states brought in 15,099 million dollars in revenue from motor vehicle licenses

Answers

Answer:

a. the approximate revenue from licenses in 1990 was $10,101.10 million.

b. The function is x = 10,101.10 + 499.79y

c. The revenue from licenses in 1999 is $14,599.21 million.

Step-by-step explanation:

The amount of revenue brought in by states from motor vehicle licenses increased at a relatively constant rate of 499.79 million dollars per year from 1990 to 2000. In 2000, the states brought in 15,099 million dollars in revenue from motor vehicle licenses.

a: what was the approximate revenue from licenses in 1990?

b: write an equation that gives the revenue as a function of the number of years since 1990.

c: find the revenue from licenses in 1999.

a: what was the approximate revenue from licenses in 1990?

This can be calculated using the following function:

x = a + by  ............................... (1)

Where;

x = Amount brought in 2000 = $15,099 million

a = Amount brought in 1990 = ?

b = Amount of relative constant rate of increase = $499.79 million

y = Number of years between 1990 and 2000 = 10

Substituting the values into equation (1) and solve for a, we have:

15,099 = a + (499.79 * 10)

a = 15,099 - 4,997.90

a = $10,101.10 million

Therefore, the approximate revenue from licenses in 1990 was $10,101.10 million.

b: write an equation that gives the revenue as a function of the number of years since 1990.

Using equation (1) in part a above, we substitute the values for a and b to obtain an equation that gives the revenue as a function of the number of years since 1990 as follows:

x = 10,101.10 + 499.79y ....................... (2)

c: find the revenue from licenses in 1999.

Since 1999 is 9th year from 1990, we therefore substitute y = 9 in equation (2) as follows:

x = 499.79 + 10,101.10y

x = 10,101.10 + 499.79(9)

x = 10,101.10 + 4,498.11

x = $14,599.21 million

Therefore, the revenue from licenses in 1999 is $14,599.21 million.

Juan invested $3,100 in an account paying an interest rate of 3.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 19 years?

Answers

Answer:

A=6143.54( to the nearest dollar A=6144)

Step-by-step explanation:

A=Pe^(r(t))

P=3100 r=0.036 t=19

A=3100e^0.036(19)

A=3100e^(0.684)

There will be $6070 money in the account of Juan after 19 years.

What is Compound Interest?

It is the interest on a loan or deposit calculated based on both the initial principal and accumulated interest from previous periods. It is calculated as:

[tex]Amount=P(1+\frac{r}{n} )^{nt}[/tex]

where,

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of periods elapsed

We have

principal, P= $3100

Rate, r = 3.6%=[tex]\frac{3.6}{100}[/tex]

time, t = 19years

number of times interest compounded per year, n=1

Formula Used:

[tex]Amount=P(1+\frac{r}{n} )^{nt}[/tex]

Substitute the values in the above formula

[tex]Amount=3100(1+\frac{3.6}{100} )^{19}[/tex]

[tex]Amount=[/tex]$6070

Hence, there will be $6070 in account after 19 years.

Learn more about compound interest here:

https://brainly.com/question/19318210

#SPJ2

Question 1(Multiple Choice Worth 4 points) (04.07A) Two quantities are related, as shown in the table below: x y 2 2 4 5 6 8 8 11 Which equation best represents the relationship? y = 3 over 2x + 2 y = 3 over 2x y = 3 over 2x − 1 y = 3x + 2

Answers

Answer:

id say C if not sorry

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation: Thanks to the person  above me I got the  question right.

Which expression can be used to determine the slope of the linear function graphed below?​

Answers

Answer:

Y = 2x-4

Step-by-step explanation:

the anwser is, A

Step-by-step explanation:

-4-0

2-0

Solve using elimination. Brainliest for correct answer!!

Answers

Answer:

X is 1 and y is 5

Step-by-step explanation:

find the product of 16 and 24

Answers

Answer:

384 16 times 24 is equal to 384

Step-by-step explanation:

You just have to multiply them. 16 times 24 is 384.

What is the value of the expression 5(23 - 3)? Show your work.​

Answers

Answer:

100

Step-by-step explanation:

5(23-3)

23-3= 20

5 × 20= 100

Sarah jumps rope to keep in shape. She jumps an average of 20 times in 15 seconds. Which of these describes her jumping rate?

Answers

Answer:

80 jumps per minute

80 is the correct answer

Point (-3,4) is rotated 180° about the origin in a
counterclockwise direction. What are the coordinates of its
image?

Answers

Answer:

( 4 , -3)

Step-by-step explanation:

Rate me branliest please :)

A one-year membership to Metro Gym costs $460. There is a fee of $40 when you join, and the rest is paid monthly. Write an equation to represent what you will pay monthly for the yearlong membership. Write an equation that would help members find how much they pay per month.

Answers

Answer: See explanation

Step-by-step explanation:

Let the amount of money to be paid per month be represented by x. The information given in the question can then be formed into an equation as:

$40 + 12x = $460

From the equation, the amount that'll be paid monthly will be:

$40 + 12x = $460

12x = $460 - $40

12x = $420

x = $420/12

x = $35

The amount paid monthly is $35

Here please help
I will give brainest
Pleaseeeeee helpppppp

Answers

Answer:

5,d

6,e

7,b

8,f

9,c

10,a

5d
6e
7b
8f
9c
10a

This is the answer in order
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