At the beginning of summer, Mark has $200 in savings and Ryan has $350. The brothers have mowing jobs set up for the summer. Because Mark is older, he receives $20 for each mowing job and Ryan receives $15. The brothers' parents pay for the fuel used to mow, so all of the money the brothers earn goes to savings. Write two equations, one for Mark and one for Ryan, to represent the money in savings (s) based on the number of mowing jobs (j) Mark and Ryan do. Determine the number of mowing jobs it takes for Mark to have the same amount in savings as Ryan does. Show your work.

Answers

Answer 1

Answer:

[tex]m = 200 + 20j[/tex]

[tex]r = 350 + 15j[/tex]

Number of jobs is 30

Step-by-step explanation:

Variable representation

Let Mark's total earnings for moving be m

Let Ryan's total earnings for moving be r

Represent the number of jobs with j

Setup equation

Mark:

[tex]Initial\ Savings = 200[/tex]

[tex]Rate = 20[/tex]

So, the total savings is:

[tex]m = 200 + 20j[/tex]

Ryan

[tex]Initial\ Savings = 350[/tex]

[tex]Rate = 15[/tex]

So, the total savings is:

[tex]r = 350 + 15j[/tex]

To get the number of jobs they save the same amount.

We have:

[tex]m = r[/tex]

Substitute values for m and r

[tex]200+20j = 350+15j[/tex]

Collect Like Terms

[tex]20j - 15j = 350 - 200[/tex]

[tex]5j = 150[/tex]

Divide both sides by 5

[tex]j = \frac{150}{5}[/tex]

[tex]j = 30[/tex]

Hence, the number of jobs is 30


Related Questions

Plz help!! Meera is researching cruising speeds of different planes. Which airplanes has a greater cruising speed?

Answers

Answer:

The one on the graph

Step-by-step explanation:

answer this. I will giveBRAINLIEST​

Answers

Answer:

Multiply both sides by 3, then subtract 6 from both sides

Step-by-step explanation:

d + 6 / 3 = 6 (multiply both sides by 3)

d + 6 = 18 (subtract 6 from both sides)

d = 12

Answer:

d+6= 18.

d= 12

multiply both sides by 3

subtract 6 from both sides

You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first is a diamond and the second card is a five.

Answers

Answer:

1/52

Step-by-step explanation:

52/4=13 theirs only 4 5s in a deck of cards so 13*4 is 52

Pls help and show workings due asap

Answers

Step-by-step explanation:

l^2=15^2+6^2

l^2=225+36

l^2=261

l=√261

What’s the measure of the other angle?

Answers

61 because they r congruent

For what value of x must ABCD be a parallelogram?

Answers

Answer:

yes it could be

Step-by-step explanation:

Answer:

5x = 6x-7 subtract 6x from each side-x=-7x=7

12. Which explains whether the relation shown is a function?

A) The relation is a function since it is continuous.

B) The relation is not a function since it is not symmetrical

C) The relation is a function since it passes the vertical line test

D) The relation is not a function since it does not pass the horizontal line test.

Answers

Answer:

C

Step-by-step explanation:

the vertical line test is when you check to see if a point of the graph is passed twice. in this case it does pass the vertical line test. therefore, it is a function.

Answer C final answer: C

I need help with this ASAP and can you explain so i can understand?!

Answers

Answer:

Adult tickets sold =  225

Student Tickets sold =  375

Step-by-step explanation:

Let:

Adult tickets sold = x

Student Tickets sold = y

Total tickets sold = 600

So, we can write: x+y = 600

Total money collected = 3037.50

Cost of 1 Adult ticket = $6.00

Cost of one Student ticket = $4.50

So, we can write: 6x+4.5y=3037.50

Now, we get a system of equations, that if solved we can find values of x and y

Let:

[tex]x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)[/tex]

We can solve using substitution method.

Finding value of x from eq(1) and putting it in eq(2)

[tex]We\:have\\x+y=600\\x=600-y[/tex]

Put in eq(2)

[tex]6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375[/tex]

So, we get value of y = 375

Now put value of y in eq(1) to find value of x

[tex]x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225[/tex]

So, we get value of x = 225

The Tickets sold will be:

Adult tickets sold = x = 225

Student Tickets sold = y = 375

If the simple interest on ​$2000 for 10 years is ​$​,1000 then what is the interest​ rate?

Answers

[tex] \bf \underline{Given :}[/tex]

[tex] \sf{• \: Principal \: (P) = \$ \: 2000}

[/tex]

[tex] \sf{• \: Simple \: Interest \: (I) = \$ \: 1000}

[/tex]

[tex] \sf{• \: Time \: (T) = 10 \: years}[/tex]

[tex] \sf{• \: Interest \: Rate \: (R) = \: ?}[/tex]

[tex] \bf \underline{Solution:-}[/tex]

[tex] \sf {We \: know \: that, }[/tex]

[tex]\bf \red{\bigstar{ \: I = PRT}}[/tex]

[tex] \sf{⟹1000 = 2000 \times \frac{R}{100} \times 10 }[/tex]

[tex] \sf{⟹1000 = \frac{R}{100} \times 20000}[/tex]

[tex] \sf{⟹ \frac{R}{100} = \frac{1000}{20000} }[/tex]

[tex] \sf{⟹R = \frac{1}{20} \times 100 }[/tex]

[tex] \sf⟹ R = 5[/tex]

[tex] \pink{\bf{Hence, \: the \: interest \: rate \: is \: 5 \: \%. }}[/tex]

which is a prime number 18 15 19 or 22

Answers

Answer:

19

Step-by-step explanation:

the only way u can get 19 is if you multiply 19x1 but other than that you cant get the number

the other numbers have more than one multiple but 19 only has one multiple

Answer:

19

Step-by-step explanation:

the only factors multiplyed that can make 19 is 1 and 19

15:1, 3, 5, 15

18:1, 2, 3, 6, 9, 18

22:1, 2, 11, 22

19:1, 19

take care

To the nearest unit, what is the perimeter of this pentagon?
27 units
29 units
30 units
34 units

Answers

I think it might be 27 no sure

Answer:

D(34)

Step-by-step explanation:

i did the math

How many neutrons does Chlorine-38 have if the isotope has a mass is 38?

Answers

Answer:

The answer is either 21 or 22

Step-by-step explanation:

good luck! have a great day! :)

A a book is originally priced at $65 the online retailer gives a discount and the book is now priced at $52 into the percentage discount for the cost of the book.

Answers

Answer:

20%

Step-by-step explanation:

Original price = $65

Current price = $52

Discount = $65 - $52

Discount = $13

The percentage discount is calculated as:

Discount/Original price × 100

= $13/$65 × 100

= 20%

The percentage discount for the cost of the book is 20%

Find the value of the expression
qXS+r
for q = 2, r = 9, and s = 5.
Submit

Answers

Answer:

19

Step-by-step explanation:

Substitute the values and use the order of operations to find the correct value.

q · s + r

2 · 5 + 9

10 + 9

19

i need help this too help me and thank you and thank you

Answers

A is (-1,0) B is (0,-3) C is line of symmetry D is (3,0) E is (2,-3) F is (1, -4)

pls help me with this question i’ll be giving a brainliest to the person with the correct answer

Answers

Answer:

i believe it’s the second and third one, not too sure about the first

Step-by-step explanation:

In a company 60% of the workers are women if 1920 people work for the company who aren’t women, how many workers are there in all?

Answers

Answer:

Step-by-step explanation:

if 60% of the workers are women, and we have 1920 total of people

1920x 60/100=1152 women

768 are men

Is this congruent or not congruent? And is this
SSS
SAS
SSA
AAS
ASA
HL
PLEASE HELP, I will brainliest u

Answers

It's congruent by AAS

Answer: Answer is SSS ok

Subract the sum of 3a^4b-4b^3+c^2 & 6a^4b+3b^3-6c^2 from the sum of 6a^4b-4b^3-4c^2 & 2a^4b+4b^3+7c^​

Answers

Answer:

-a^4b + b^3 - 8c^2

Step-by-step explanation:

Sum of

3a^4b-4b^3+c^2 + 6a^4b+3b^3-6c^2

= 3a^4b + 6a^4b - 4b^3 + 3b^3 + c^2 - 6c^2

= 9a^4b - b^3 - 5c^2

Sum of

6a^4b-4b^3-4c^2 + 2a^4b+4b^3+7c^

= 6a^4b + 2a^4b - 4b^3 + 4b^3 - 4c^2 + 7c^2

= 8a^4b + 3c^2

Subtract

8a^4b + 3c^2 - (9a^4b - b^3 - 5c^2)

= 8a^4b + 3c^2 - 9a^4b + b^3 + 5c^2

= 8a^4b - 9a^4b + b^3 + 3c^2 + 5c^2

= -a^4b + b^3 - 8c^2

a person can pay 14$ for a membership to the science museum and then go to the mesum for just 1$ per visit what is the maxium number of visits a member of the science museum can make for the total cost of 43$

Answers

Answer:

I think 43 visits

Step-by-step explanation:

I hope this helps you and I hope this is right and have a wonderful day:)

Hello! I won't give you the answer but I'll show you an example to a similar question like that!

Okay, so what if: a person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. what is the maximum number of the art museum can make for a total cost of $18?

An easy way to solve this is to make an equation.

Let's call the number of times we can visit "x".

So, we pay $6 off the bat, and then pay $1 per visit after.

6+1x

That's the cost associated with visiting "x" number of times, now, we need to know how many times we can visit for 18, so we equate the expression to 18.

6+x=18

x=12

We can visit 12 times.

I hope this helps and that now you know the problem is supposed to be solved!

See ya later, pal!

Which expression is equivalent to -8(10x-3)
(SHOW WORK)

Answers

Answer:

240

Step-by-step explanation:

-8(10×-3)

(10×3)=30

30×-8=240

I WILL GIVE YOU BRAINLIEST JUST PLEASE HELP ME WITH THIS PROBLEM

Answers

Answer:

answer

Step-by-step explanation:

yes!

.............

Answer:

yes

if it's helpful ❤❤❤

THANK YOU

If point A(-8, 5) is reflected over the line y=2 and then translated according to the rule (x,y) -> (x-1, y-4), what quadrant will point A be in?

Answers

9514 1404 393

Answer:

  3rd quadrant

Step-by-step explanation:

The second-quadrant point will lie in the 3rd quadrant after reflection over the line. Its coordinates there will be ...

  A'(-8, 2·2 -5) = A'(-8, -1)

Then, translation down and to the left will move it further into the 3rd quadrant, to ...

  A''(-8-1, -1-4) = A''(-9, -5) . . . . a 3rd-quadrant point

I need help asap pls

Answers

Answer:

[tex]\displaystyle 36° = m∠NQS[/tex]

Step-by-step explanation:

Apply the Midsegment Theorem:

[tex]\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°[/tex]

I am joyous to assist you at any time.

Mr. Bradley is building a storage closet. He has four boards that are 9 feet long. He needs to cut boards into 18 inches long. What is the greatest number of 18-inch pieces that Mr. Bradley can cut from the four wooden boards? (1-foot = 12 inches)

PLEASE HELP. And dont answer if you dont know please it just a waste of time. This is a test

Answers

Answer:

The answer would be 6

Simplify: - 7a + 8 + 5a

Answers

Answer:

it is -2a+8 your welcome

-2a + 8

Hope this helps ^W^

Hudson needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 3.25 hours and charged him $71 for parts. The total was $282.25. What was the cost of labor, per hour?

Answers

Answer:

$65/hr

Step-by-step explanation:

282.25 - 71 = 211.25

211.25 / 3.25

f(x) = 3x² + 4x – 6
g(x) = 6x3 – 5x2 – 2
Find (f – g)(a).

Answers

Step-by-step explanation:

(-6x^3+8x^2+4x-4)

option D is correct answer

Answer:A

Step-by-step explanation:

how i solve this one​

Answers

Answer:

Look at explanation

Step-by-step explanation:

3x - y = 14

-3         -3

x=11

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

5x + 4y = 12

9xy=12

-9     -9

xy=3

x=1.5 y=1.5

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

total= 14

Sorry if wrong btw

this answer is an answer because u want an answer so i’m giving you an answer


1. If s varies directly as t and inversely as v, then which of the following equations describe the relation
among the three variables s, t, and v?

Answers

The answer is s=kt/v

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