24. Janet and Jack are walking in a two-day event to raise money for charity.
Janet asks a friend for a $7.50 donation, plus $0.10 for each mile she
walks. Jack asks a friend for a $5.50 donation, plus $0.15 for each mile
he walks. At how many miles of walking would Janet and Jack collect the
same amount of money?

Answers

Answer 1

Answer:

40 miles walk

Step-by-step explanation:

Let the miles walked by both of them be x at which money collected by same

for Janet

Fixed donation  asked = $7.50

money asked for walking 1 mile = $0.10

money made by Janet if he walks x miles = x*$0.10 = $0.10x

Total money collected by Janet = Fixed donation  asked + money made by Janet if he walks x miles

Total money collected by Janet =7.50 + 0.10x

For Jack

Fixed donation  asked = $5.50

money asked for walking 1 mile = $0.15

money made by Janet if he walks x miles = x*$0.15 = $0.15x

Total money collected by Jack = Fixed donation  asked + money made by Jack if he walks x miles

Total money collected by Jack =5.50 + 0.15x

we have to find miles at which money collected by both of them be same

and we have decided that it it as x mile walk then

Total money collected by Janet = Total money collected by Jack

7.50 + 0.10x = 5.50 + 0.15x

=> 7.50 - 5.50 = 0.15x - 0.10x

=> 2 = 0.05x

=> x = 2/0.05 = 40

Thus, at 40 miles walk money collected by both of them will be same


Related Questions

Andrea’s income from a lemonade stand was $28. Supply expenses were $9. Write and then evaluate an expression to find Andrea’s profit or loss. Expression:___

Andrea’s profit or loss is____dollars.

Answers

Answer:

9-28= 21

Step-by-step explanation:

She made profit because she lost 9 dollars, and then gained 28$ back, which would then equal to $21, so Andrea made a profit of $21.

I need this answer
5x + 10 = 6x – 20

Answers

Answer:

30

Step-by-step explanation:

Step 1:

5x + 10 = 6x - 20       Equation

Step 2:

10 = x - 20        Subtract 5x on both sides

Step 3:

10 + 20 = x        Add 20 on both sides

Answer:

x = 30

Hope This Helps :)

Answer: x=30

Step-by-step explanation:

What are the x-intercepts of the graph of the function y=6tan (x/2)-3? Use your graphing calculator to estimate
the answer.

(0.9273 +17,0), where n is any integer

(0.9653 +12,0), where n is any integer

(0.9273 +2n7,0), where n is any integer

(0.9653 +217,0), where n is any integer

Answers

Answer:

C on edge

Step-by-step explanation:

The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

given that,

the function is,

y=6tan (x/2)-3

we know that,

the x-intercepts of the graph of the function, we put y = 0

so, we get,

6tan (x/2)-3 = 0

or, tan (x/2) = 3/6

or, tan (x/2) = 1/2

or, x/2 = 0.4636

The period of tangent is π, so we have,

x/2 = 0.4636 + nπ

or, x =  (0.9273 +2nπ)

Hence, The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.

To learn more on function click:

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#SPJ7

whats the mass of 9.4 x 10^25 atoms of lithium

I NEEDDD HELP

Answers

9.4×10 to the 25th power is 94 and 25

I need some help please

Answers

Answer:

a: y=-1/2x-3/2

b: y= -4x+2

Step-by-step explanation:

Abdul receives $10 per week for his allowance. His parents have asked him to put $4 in his savings account and the rest of his allowance is spending money.​

Answers

Answer:

2.5

Step-by-step explanation:

just trust me it 2.5

Solve for x
3x/2 - 2 > 7​

Answers

Answer:

x>6

Step-by-step explanation:

answer is above

Answer:

x>6

Step-by-step explanation:

3x/2 - 2 > 7

+2>+2

3x/2>9

2(3x/2)>(9)2

3x>18

3x/3>18/3

x>6

−4 + [12 × (−8)] – 62

Answers

Answer:

-162

Step-by-step explanation:

that the answer

Answer:

-162

Step-by-step explanation:

Multiply: −4 + [12 × (−8)] – 62

Remover parentheses: -4 + (-96) – 62

Calculate sum: -4 – 96 – 62

Marshall buys a sack of peaches for $5.98. The peaches weigh
2.77 pounds. About what price per pound did Marshall pay? Estimate using compatible numbers.

Answers

Answer:

Step-by-step explanation:

a

1. 8x+15=dx-20

2. 12(7+2y)=4y-(3-ty)

3. 15+x(3t-4)=8(-2t+11)


:) answer all for brainliest

Answers

8x+15=dx-20

8x+15+20=dx

8x+35=dx

d=​8x+35 /x

12(7+2y)=4y-(3-ty)

12(7+2y)=4y−3+ty

12(7+2y)−4y=−3+ty

12(7+2y)−4y=ty−3

12(7+2y)−4y+3=ty

t= ​12(7+2y)−4y+3 /​y

15+x(3t-4)=8(-2t+11) SOLVING FOR X

15+x(3t-4)=8(-2t+11)

x= ​8(−2t+11)−15 /​3t−4

x= −16t+73 /​3t−4

Hope this helps!God bless you and have a wonderful day!

Answer:

Step-by-step explanation:

Give the other guy brainiest

At a local department store, cardigans are typically priced at $15. Due to a special,
the cardigans are reduced to 80% of their original price.
How much are cardigans now?

Answers

Answer:

$3

Step-by-step explanation:

80% of 15 is 12

15-12=3

30 = [(10 - 8) + (17-14)]

Answers

Answer:yes

Step-by-step explanation:kubjubjugjugjugjugjugjugju

The answer is 25
Add or subtract the numbers in the parentheses first to get 2 + 3 then add those numbers together and get 5 and subtract that from 30 to get 25

9783
8 sth
2400
A tank is completely filled with water. A pump is used to drain the tank. The amount of
water remaining in the tank is given by the equation y=600-25x, where x is the number
of minutes since the pump started and y is the volume, in gallons, of water remaining
in the tank. In the equation, what are the meanings of the numbers 25 and 600?

Answers

Answer:

yes

Step-by-step explanation:

Thank you guys for helping me. I need help on this one

Answers

Answer: 10 times 8 and 8 times 10

Step-by-step explanation:

those are the first in the multiplication table that have the same digits

I need help with this please​

Answers

i’m not sure bc i did this years ago but u might want to go to ur teacher for some help

What is the image of (3,-6) after a dilation by a scale factor of 4 centered at the origin?

Answers

Answer:

7,-10

Step-by-step explanation:

Explain in your own words what happens when a car's tires are changed from the original size to a LARGER size. How is the odometer affected? How is the speedometer
affected?

Answers

Answer:

Step-by-step explanatin

it affects it because your going from smaller tires witch make it easier to make turns go faster things like that when you put bigger tires on the car it is gonna raise the car and have a whole differnt outlook

9. When graphing, what does the y intercept describe? *

The place where the line or curve crosses, or touches, the x axis

The place where a line or gurve crosses, or touches, the y axis

O I don't know.

Answers

Answer:

Every straight line can be represented by an equation: y = mx + b. ... The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Who can help me with my math homework I can ask the questions on here the way they are set up?

Answers

Answer:

i can

Step-by-step explanation:

Write 6.37x10-2 in standard form?

Answers

Answer:

0.0637

Step-by-step explanation:

hope this helps :)

6.37 x 10⁻² in the standard form is 0.0637.

What is decimal?

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

We have an expression,

6.37 x 10⁻².

Simplifying to standard form.

6.37 x 10⁻²,

= 6.37 x 1/100

= 6.37/100

= 0.0637

Therefore, 0.0637 is the standard form.

To learn more about the decimal;

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#SPJ2

Calculate 3 over 4 ÷ 5 1 fifth

Answers

Answer:3/20

Step-by-step explanation:

3/4/ 5/1

3/4 x 1/5 =3/20

The answer is 2/20 :))).

NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT

Answers

Answer:

500/40125/vDensitym/v

I hope this helps!

What is the equation in point-slope form of the line passing through (1, 9) and (1, 11)? (5 points)​

Answers

Answer:

1

Step-by-step explanation:

Answer:

y-9=0(x-1)

Step-by-step explanation:

first, find the slope with m=y2-y1/x2-x1

11-9=2

1-1=0

2/0 is undefined so i think you have to use 0

sorry if im wrong

i find it difficult when there is no slope

The sum of four siblings ages is 71. The second child’s age is twice the youngest, the third child’s age is twelve more than the youngest, and the oldest child is four less than three times the youngest. Find each of the siblings ages.

Answers

Answer: 9, 18, 21, and 23 respectively

Step-by-step explanation:

To solve any problem like this, you want to assign a variable to each child because you dont know their age. So lets write an equation and assign variables to these children.

r = first child (youngest)

x = second child

y = third child

z = fourth child (oldest)

We know that r + x + y + z = 71

We also are given info on the comparisons of their ages.

r = r

x = 2r (2 times the youngest)

y = 12 + r (12 more than the youngest)

z = 3r - 4 (4 less than 3 times the youngest)

That was the easy part tbh, now we have to solve for 'r'. We can see that all the ages are a function of the same variable (r), and we know the sum of them is equal to 71. So lets solve for r and then plug that r value into each equation we just derived.

Child #1 (youngest)

[tex]r+2r+(12+r)+(3r-4)=71\\3r+12+r+3r-4=71\\7r+12-4=71\\7r+8=71\\7r=63\\r=9yrs[/tex]

Child #2

[tex]x=2*9=18yrs[/tex]

Child #3

[tex]y=12+r=12+9=21yrs[/tex]

Child #4 (oldest)

[tex]z=3r-4=(3*9)-4=27-4=23yrs[/tex]

Fact Check:

[tex]9+18+21+23=71[/tex]

Suppose we lived in a society without interest. At age 25, you begin putting in $750 per month into a cookie jar until you retire at age 65. At age 65, you begin to withdrawl 2500 per month from the cookie jar. How long will your retirement fund last?

Answers

Answer:

the retirement fund would last 12 years

Step-by-step explanation:

first we find the amount of years one will be saving money by subtracting the age one will start saving money from the age one would start using the money.

65 - 25 = 40 years

next will be finding the amount of dollars one would save every year, we do that by multiplying the money one is saving every month by 12 (a year).

12 × 750 = 9,000 dollars per year

then we multiply the amount of money one would save per year by the amount of years one will be saving money in, to find how many dollars one would save in 40 years.

9,000 × 40 = 360,000 dollars in 40 years

-

after that we divide the amount one would have saved by the $2,500 one would use every month to find the amount of months the money would last.

$360,000 ÷ $2,500 = 144 months

to find how many years the money would last, one would divide it by 12, which is the amount of months per year.

144 ÷ 12 = 12

It will last 12 years. So it'll last till he's 77 years old at the rate he's pulling it out.

Step-by-step explanation:

You need to find the difference in the ages. so we need to find out how long he's been saving in the 1st place. 65 - 25 = 40 yearsWe now need to covert that 40 years into months. 40 × 12 = 480 months In order to know how much money he saved over that 40 years or 480 months times that by 750. 480 × 750 = 360,000Now we know over the course of 40 years he managed to save 360,000$ when he was putting in 750 a month. Now since he's retired he's taking out 2500 a month and we need to know how long it'll last.So to find out how long the 360k will last if taken out of 2500 increments just divide that rate but the total !! 360,000 ÷ 2500 = 144It will last him 144 months, now convert this number back to years. 144 ÷ 12 = 12 years So now we know it'll last him for 12 years ! and if u add 12 to 65 you'll get 77, so in 12 years he'll be 77!!

This is why it'll last him 12 years, which he'll be 77 by that time !! I hope this helped !!

Robinson had 17 1/5 feet of wire. He used 9 ¼ feet of the wire to repair a broken fence. How many feet of wire were left? (Give answer in decimal form)

Answers

Answer:

7.95

Step-by-step explanation:

convert both numbers to decimals so 17.2 and 9.25 and just subtract so, 17.2-9.25=7.95

What multiplies to be a 20 and adds to be a -21?

Answers

Answer:

-20 & -1

Step-by-step explanation:

-20+-1=-21

-20*-1=20

Question 3 (20 points)
Factor:
36x2 - 81y2

(6x + 9y)(6x + gy)
(9x - 9y)(4x + 9y)
(6x - 9y)(6x - 9y)
(6x - 9y)(6x + 9y)

Answers

i believe its the last choice

Answer:

D

Step-by-step explanation:

The square root of 36 is 6 and the square root of 81 is 9 so that cancels out the answers C and B then there is a subtraction symbol in the original equation so there has to be one in the answer which cancels our A and leaves you with the final answer D.

Ernie went to see some friends in San Antonio 240 miles away. It took him 3 hours to get there. What was his average speed?

Answers

Answer:

Find out yourself buddy XD

Answer:

his average speed was 60 miles per hour

Step-by-step explanation:

their are three ways to get the answer

1. if you take the 0 away from 240 it becomes 24, and 24 divided by 3 = 6 add the the 0 back in and you get 60.

2. 240 divided by 3 = 60

3. Use a calculator

"if a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1.8"

Answers

Answer:

yes you are right

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