Joey’s parents told him that for every 3 hours of chores he completes, they would give him $11for his allowance. His friend Sarah’s parents told her that she would earn $2 for every 30 minutes of chores completed. If both kids spend the same amount of time on their chores, which person gets more money for their allowance? How do you know?










A runner ran 20 miles in 150 minutes. If she runs at that speed,
How long would it take her to run 6 miles?






How far could she run in 15 minutes?






How fast is she running in miles per hour?





What is her pace in minutes per mile?



Gianna is paid $90 for 5 hours of work.
At this rate,how much would Gianna earn for 8 hours of work? Show work to justify your answer.





At this rate, how long would Gianna have to work to earn $60? Show work to justify your answer.

Answers

Answer 1

150 ÷ 20 = 7.5 minutes per 1 mile

7.5 x 6 = 45 minutes

7.5 + 7.5 = 15 minutes or 2 miles in 15

60 ÷ 7.5 = 8 mph

mpm = 7.5

90 ÷ 5 = $18 per hour

18 x 8 = $144

18 x 3 = 54 (close to $60)

Step-by-step explanation:

hope this helps

Answer 2

Answer: (a) Sarah     (b) 45 minutes     (c) 2 miles     (d) 8 miles per hour  

              (e) 7.5 minutes per mile          (f)  $144         (g) 3 1/3 hours

Step-by-step explanation:

[tex]\text{Joey:}\quad \dfrac{\$11}{3\ hours}\\\\\\\text{Sarah:}\quad \dfrac{\$2}{\frac{1}{2}\ hour}\times \dfrac{6}{6}=\dfrac{\$12}{3\ hours}[/tex]

When comparing the same number of hours, Sarah earns $12, Joey earns $11.

***************************************************************************************************

                            [tex]\dfrac{20\ miles}{150\ minutes}=\dfrac{6\ miles}{x}[/tex]

Cross Multiply:     20(x) = 150(6)

Divide by 20:             x = 900/20

Simplify:                     x = 45 minutes

***************************************************************************************************

                             [tex]\dfrac{20\ miles}{150\ minutes}=\dfrac{x}{15\ minutes}[/tex]

Cross Multiply:      20(15) = 150(x)

Divide by 150:       300/150 = x

Simplify:                 2 miles = x

***************************************************************************************************

Use conversion: 60 minutes = 1 hour

[tex]\dfrac{20\ miles}{150\ minutes}\times \dfrac{60\ minutes}{1\ hour}=\quad \dfrac{1200\ miles}{150\ hour}\quad =\large\boxed{\dfrac{8\ miles}{1\ hour}}[/tex]

***************************************************************************************************

[tex]\dfrac{150\ minutes}{20\ miles}\div \dfrac{20}{20}=\quad \large\boxed{\dfrac{7.5\ minutes}{1\ mile}}[/tex]

***************************************************************************************************

                           [tex]\dfrac{\$90}{5\ hours}=\dfrac{x}{8\ hours}[/tex]

Cross Multiply:     5(x) = 90(8)

Divide by 5:             x = 720/5

Simplify:                   x = $144

***************************************************************************************************

                            [tex]\dfrac{\$90}{5\ hours}=\dfrac{\$60}{x}[/tex]

Cross Multiply:     5(60) = 90(x)

Divide by 90:        300/90 = x

Simplify:               3 1/3 hours = x


Related Questions

What are the first four terms of the sequence shown below?

an = 2n

Answers

an = 2n

1 = 2(1) = 2

2 = 2(2) = 4

3 = 2(3) = 6

4 = 2(4) = 8

so, the first four terms are 2 , 4 , 6 , 8.

HELPPP!!!
(6 points)
8. If you bought a $55 table and
paid an additional $4 in tax,
what percentage was the tax?

Answers

Answer:

7.27%

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST AND 25 POINTS!!!
A model rocket is launched upward at a speed of 96 feet per second from a platform 7 feet above the ground. The path of the rocket can be modeled by the projectile equation, h(t)=-16t^2+v₀t+h₀
1. What is the maximum height the rocket will reach?
2. What is the average rate of change from the initial height to the maximum height?​

Answers

Answer:

151 ft

48 ft/s

Step-by-step explanation:

h(t)=-16t^2+v₀t+h₀

v₀ = 96  and

h₀ = 7

h(t)=-16t^2+96t+7

The maximum height is at the vertex

The x values of the vertex is at

x = -b/2a = -96/ (2*-16) = -96/-32 =3

Substitute this into the function to find the maximum height

h(3) = -16 ( 3)^2 +96*3+7

    -16*9 +288+7

     151

The maximum height is 151 ft

Average rate of change from 0 to 3

h(3) - h(0)

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

3-0

151 -7

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

3

144/3

48ft/s

WIL MARK BRAINLIEST!!
Read & Answer
try ur best :)

Answers

Answer:

its c 8%

Step-by-step explanation:

its c

Answer: 8%

Step-by-step explanation:

hurry pls and ty :')

Answers

Answer:

5

Step-by-step explanation:

if -17 +5 are in value they should equal 12


What should replace the ? to make the
following statement true?
?
9/11 = ?/88

Answers

Answer:

72

Step-by-step explanation:

9/11 = ?/88

multiply each side by 8 (because 88 divided by 11 is 8)

72/88 = ?/88

multiply each side by 88

72 = ?

You have decided to cash in all of the coins you have been saving for the summer. In total you have $7.20. You only have dimes and quarters, and you know that you have twice as many dimes as you do quarters. How many quarters do you have in total? How many dimes? (HINT: think about what you know of dimes and quarters!)

Answers

Answer:

The number of quarters in total = 16 quarters

The number dimes = 32 dimes

Step-by-step explanation:

The given information are;

The total amount of money in held = $7.20

The denomination of the money held = Dimes and quarters

The number dimes = 2 × The number of quarters

Given that a dime = 10 cents = $0.1

A dollar = 25 cents = $0.25

Let the number of quarters in the sum of money = X

Therefore, we have;

X × $0.25 + 2 × X × $0.1 = $7.20

X × $0.25 + X × $0.2 = $7.20

X × $0.45 = $7.20

X = $7.20/$0.45 = 16

Therefore, the number of quarters = 16

The number of quarters in total = 16 quarters

The number dimes = 2 × The number of quarters = 2 × 16 = 32 dimes

The number dimes = 32 dimes.

if f(x) = 3x2 + 10, what is f( - 7)?

Answers

You plug in -7 into the x so your equation looks like f(-7)= 3(-7)2+10 and your final answer is f(-7)= -32

The value of  function f(-7) is 157.

What is  a function?

Functions have the property that each input is related to exactly one output. The function defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For the given situation,

The function is f(x) = 3 x^2 + 10

Then  f( - 7) becomes,

⇒ [tex]f(-7)=3(-7 )^{2} +10[/tex]

⇒ [tex]f(-7)=147+10[/tex]

⇒ [tex]f(-7)=157[/tex]

Hence we can conclude that the value of  function f(-7) is 157.

Learn more about functions here

https://brainly.com/question/5830268

#SPJ2

In a class of 35 students there are five more boys than girls how many boys are in the class?

Answers

Answer:

20 boys in class

Step-by-step explanation:

easy

x+(x+5)=35

30=2x

x=15

Answer:

let X be number of boys & y be number of girls in the class

x +y = 35 .....eq 1

x = y +5

y = x -5.......... eq 2

substitute eq 2 in eq 1

x + x -5 =35

2x = 40

x = 20

3×=21, the value of ×is ​

Answers

✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

➷  [tex]x + 3 = 21[/tex]

[tex]x = 21 - 3[/tex]

[tex]x = 18[/tex]

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

If Mike runs 3/5 of a mile in 1/15 of an hour, how many miles would he walk in a full hour?​

Answers

Answer:

9 miles

Step-by-step explanation:

The answer is 9 miles because if you divide 0.6 mile by 4 minutes, you will have an answer of 9 miles an hour, as 0.6x15=9. In a full hour, Mike would walk 9 miles.

WILL MARK YOU BRAINLIEST!!!

Answers

10. x = 180-81= 99 = 180-(99+19)= 62°

11. x = 180-115= 65 = 180-(65+41)= 74°

12. x = 180-(36+42) = 102 = 180-102 = 78°

13. a = 180-(112+33) = 35°

14. b = 180-(71+35) = 74°

15. c = 180-(43+71) = 66°

How would you graph this correctly onto a graph?

Answers

Answer:

Here is how you graph your equations correctly :D

Step-by-step explanation:

Graph y > x − 2.

Use the slope-intercept form to find the slope and y-intercept.

Slope: 1

y-intercept: (0, -2)

Graph a dashed line, then shade the area above the boundary line since y is greater than x − 2 .

y > x - 2

Graphy < −4x + 2.

Use the slope-intercept form to find the slope and y-intercept.

Slope: -4

y-intercept: (0, 2)

Graph a dashed line, then shade the area below the boundary line since y is less than − 4 x + 2 .

y < -4x + 2

Plot each graph on the same coordinate system.

y > x - 2

Y < -4x + 2

I hope this helps.

Which of the following numbers is to the right of 6 on a number line?

Answers

Answer:

7 and 5

Step-by-step explanation:

NONE

A family has 8 kids and 3 have brown eyes. What percent of their kids have brown eyes?

Answers

Answer: 37.5%

Step-by-step explanation: 1/8 is 12.5% and if you multiply 12.5 by 3 you get 37.5

Answer:

37.5%

Step-by-step explanation:

divide 3 by 8: 0.375

then multiply your answer by 100 to get a percentage: 37.5%

solve for r
-13=r/9+8
r=​

Answers

Answer:

r = 1 [tex]\frac{53}{64}[/tex]

Step-by-step explanation:

493 + 327 help me please

Answers

Answer:

820 p.s you shouldn't waste your points just google calculator and use it :)

Step-by-step explanation:

493

+327

7+3=1(0) carry the one on the 9

1+9+2=1(2) carry the 1 on the 8

1+4+3=(8)

820

what is the answer to-4y + 2= -2

Answers

Answer:

y = 0

Step-by-step explanation:

-4y + 2=-2

       -2    -2

      -4y = 0

        -4    -4

    y = 0

13x < 6(3x – 4) – 6


show work please

Answers

Answer:

x > 6

Step-by-step explanation:

Step 1: Write equation

13x < 6(3x - 4) - 6

Step 2: Solve for x

Distribute 6: 13x < 18x - 24 - 6Combine like terms: 13x < 18x - 30Subtract 13x on both sides: 0 < 5x - 30Add 30 to both sides: 30 < 5xDivide both sides by 5: 6 < xRewrite: x > 6

What is 8/2(2+2) oof not enough characters

Answers

The correct answer is 16

What is the inverse of the function f(x)=1/9x+2

Answers

[tex]f(x) = \frac{1}{9}x + 2 \\ [/tex]

[tex]y = \frac{1}{9}x + 2 \\ [/tex]

Subtract the sides of the equation minus 2

[tex]y - 2 = \frac{1}{9}x \\ [/tex]

Multiply the sides of the equation by 9

[tex]9(y - 2) = x[/tex]

[tex]9y - 18 = x[/tex]

So ;

[tex] {f}^{ - 1}(x) = 9x - 18 [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Math question pls help

Answers

Answer:

(-4) - (+2) = -6

(+6) + (+9) = -3

(-36) divide (+3) = -12

(-12) x (-8) = 20

(-4) + (-7) = -11

(+7) - (4) = 11

(-5) - (+12) = 17

(+6) + (+9) = 15

(-10) + (+12) = -22

(+6) + (+6) = 12

(+10) divide (-10) = 1

(+4) + (-5) = -20

(-10) + (-10) = -20

(-4) x (+7) = 28

(+11) + (-2) = 9

(-2) - (-3) = 1

(-7) - (+1) = -8

(+1) + (+4) = 5

geez this took me a while lol

i hope that help!

The percent increase from 18 to 26 is find the percent of change

Answers

Answer:

10 percent

Step-by-step explanation:

hope this helps!!! mark me brainliest please

Am I correct here? All answers will be greatly appreciated!​

Answers

Answer:

yes i believe you are correct

Step-by-step explanation:

Simplify to create an equivalent expression.
3(2 + 6d) – 5 =

Answers

Answer:

Step-by-step explanation:

6 + 18d - 5

1 + 18d is equivalent to the given expression

Determine the function which corresponds to the given graph. (3 points)
A natural logarithmic function crossing the y axis at zero and going through the point 2,1.
The asymptote is x = -1.

Answers

what grade level is this

Kiran is spending $12 on games and rides at another carnival, where a game costs $0.25 and a ride costs $1.



Write an equation to represent the relationship between the dollar amount Kiran is spending and the number of games, x, and the number of rides, y, he could do.

Answers

Answer:

.25x+1y=12

Step-by-step explanation:

there is no step by step

5. The rectangular pool has an area of 520 square feet. The length of 3
more than its width. Which of the following equations represent length 2, in feet of the room?
a) z(z+11) =520
b) z(z - 11) = 520
c) z(11 - 2) = 520
d) - 112 - 520 = 0
e) 2 + 112 - 520 = 0
11z +520 =

Answers

Answer:

z*(z - 3) = 520

Step-by-step explanation:

Use the following representations:

Width:  W  

Length:  L = W + 3, or W = L - 3

Area = L*W = L*(L - 3) = 520

Equation b) is the correct one:  z*(z - 3) = 520

The radius of Earth is about 6.38 x 10³ kilometers. Write this distance in standard notation.​

Answers

Answer:

6380

Step-by-step explanation:

You can use your calculator or knowing that 10^3 is 1000 so 6.38 x 1000= 6380.

I’ll mark u BRILLIANT HURRY PLEASE Mr. Lange’s car has a gas tank that holds 12 gallons. He can drive 396 highway miles before he runs out of gas. Which shows the unit rate per gallon?
A. 23 miles per gallon
B. 28 miles per gallon
C. 30 miles per gallon
D. 33 miles per gallon
5

Answers

Answer:

D

Step-by-step explanation:

396 divided by 12

Answer:

D. 33 miles per gallon

Step-by-step explanation:

396/12 = 33

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