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

The areas of similar triangles ΔABC and ΔDEF are equal. If the longest side of ΔDEF measures 25 units, what is the length of the longest side of ΔABC?

A.
5 units

B.
25 units

C.
75 units

D.
50 units

Answers

Answer:

It is 25 units

Step-by-step explanation:

The triangles are equal

Answer:

25 Units.

Step-by-step explanation:

The Triangles are equal and have the same area. Therefore, the longest side of ΔDEF and ΔABC will measure the same.

Round off 3.447 g to the nearest 1/100 g
pls help

Answers

Answer: 3.55 g

Step-by-step explanation: 3.447 g rounded to the nearest 1/100 g is 3.55 g.

Hint: nearest 1/100 g also means nearest hundredth!

Help it's due in 20 minutes !!

Answers

Answer:

ok

Step-by-step explanation:

hmm chemistry nice bro

thags chemistry not maths


Find the value of X, Y, Z

Answers

Answer:

Answers are in photo

Step-by-step explanation:

Do it in terms of ratio

simplify it using order of operations



Answers

Answer:

=106

Step-by-step explanation:

PMDAS

First thing you do is the parenthesis

6+4(5)^2

then the exponent

6+4(25)

then multiply

6+100

then add

106

Hope this helps (:

Answer:

150

Step-by-step explanation:

First do what is in the parenthesis:

(2+3)

(6)

Then exponents:

[tex](6)^{2}[/tex]

(36)

Then Multiplication:

4(36)

144

Then Add:

144+6

150

Aileen has a total debt of $45. She is trying to pay back $6 each week for the next 4 weeks. If Aileen is successful, which amount will represent the change in the amount of her debt?​

Answers

Answer:

$-21

Step-by-step explanation:

Since she is paying $6 for 4 weeks, in total she will pay:

6 x 4 = $24

She has an initial balance of $-45 Because she is in debt

Therefore you just need to add it all up

-45 + 24 = $-21

Answer:

-24

Step-by-step explanation:

6 x (-4) = 24

A House needs to some maintenance one sink is dripping water every 10 minutes and the other sink is dripping every 12 minutes if both sink dripped at the same time how many minutes until they both drip at the same time again

Answers

Answer:

60 minutes

Step-by-step explanation:

We solve this question using Lowest Common Factor method

Find and list multiples of each number of minutes( 12 and 10 minutes) until the first common multiple is found. This is the lowest common multiple.

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80

Multiples of 12:

12, 24, 36, 48, 60, 72, 84

Therefore,

LCM(10, 12) = 60

The number if minutes until they both drip again is 60 minutes

Find parallel lines which pair of line are paraelle

Answers

Answer:

Parallel lines are like a square. all sides of a square are parallel.

Step-by-step explanation:

Answer:

Parallel lines are lines that will never clash into one another. Like a rectangle is a shape with parallel lines.

Step-by-step explanation:

Help! Need answers fast!
giving 20 points!
Find the product of ( 2x^2 − 4x + 3 ) ( 3x + 6 ) using the box method shown below. What will the monomial be in the box marked with a B?

Select one:
a. - 12x 2
b. - x 2
c. - x
d. - 12x

Answers

Answer:

It should be A. -12^2

Step-by-step explanation:

Looking at the box B, you have to multiple 3x and -4x. 3 * -4 is -12 and the two x's become squared. Making your answer -12x^2

A.) -12x^2
I’m pretty sure that’s it

Consider two people where one person is 25% taller than the other but proportion in exactly the same way That the taller person looks like a lager version of the shorter person Suppose the shorter person has a 36%-inch waist what size is the the taller person's waist?

Answers

Answer:

46.8 inches

Step-by-step explanation:

Taller person = 30% more than height of shorter individual

Waist size of shorter person = 36 inches

Since they are proportioned in the same way:

Waist size of the taller person will be 30% larger than the waist size of the shorter person :

30% increase in size 36

(100 + 30)% of 36

130% of 36

(130 / 100) * 36

1.3 * 36

= 46.8 inches

h=(500-260)divided by 2

Answers

Answer:

h = 120

Step-by-step explanation:

The required, division of h=(500-260)divided by 2 is 120..

The division is a mathematical operation that involves distributing or sharing a quantity into equal parts. It is the inverse operation of multiplication. In division, a dividend is divided by a divisor to obtain a quotient.

h = (500 - 260) divided by 2

To solve this expression, we first perform the subtraction within the parentheses:

h = (240) / 2

Simplifying further:

h = 120

Therefore, the value of h is 120.

Learn more about division here:

https://brainly.com/question/9934431

#SPJ6

PLS I NEED HELP ASAP!! WILL GIVE BRAINLIEST

Answers

Answer:

x over 2

Step-by-step explanation:

v / -0.8 +14=39 plssss help this is literally so hard ​

Answers

Answer: [tex]\boxed{\boxed{\sf~v=-20}}[/tex]Solution Steps:

______________________________

1.) Subtract 14 from both sides:[tex]14-14=[/tex] Cancels Out[tex]39-14=25[/tex]

 - We do this because we have to get 2 variables/numbers on each side of the equals, and the only way to do so is to cancels other numbers out by doing the opposite of what we see.

Equation at the end of Step 1:

[tex]v[/tex] ÷ [tex]-0.8=25[/tex]

2.) Multiply both sides by −0.8:[tex]-0.8[/tex] × [tex]-0.8=[/tex] Cancels Out[tex]25[/tex] × [tex]-0.8=-20[/tex]

______________________________

I NEED HELP


I don’t know what to do!!

Answers

1.C
2.A
3.d
4.B


Hope this helps!
Brainliest?
Is okay if no !

45% of a number is 34. Find the number.

if you could explain that would be great thx!!!

Answers

Step-by-step explanation:

45% of number = 34

100% of number = 34 * (100/45) = 680/9.

The number is 680/9.

Merry has a pipe that she wants to cut into 4 pieces. If the pipe is 26 2/3 feet long, how long should she cut each piece?

Answers

Answer: 6 2/3 ft

Explanation:

1. Turn the mixed number (26 2/3) into an improper fraction by multiplying 26 by 3 and then adding 2. (26x3=78)(78+2=80=80/3)

2. Now divide 80 by the number of pieces she’s cutting (4). (80÷4=20)

3. Now divide 20 by the denominator (3) to convert it back into a mixed number. (20÷3=6 2/3)

Identify the correct Triangle Congruence Theorem that describes the figure below.


A. SAS
B. ASA
C. AAS
D. SSS
E. HL

Answers

Answer:

ASA

Step-by-step explanation:

Don't worry I just know

A livestock pen is built in the shape of a rectangle that is four times as long as is wide. The total perimeter is 60 ft. Write an equation that models the perimeter in terms of width and/or length, find the length and width.

Answers

Answer:

Perimeter = 60ft = 2(4x + x)

breadth = 6ft

length =  24ft

Step-by-step explanation:

Perimeter = 2 (L + B)

L =length

B = Breadth

x= breadth

4x = length

Perimeter = 60ft = 2(4x + x)

Dividing both sides by 2 :

30ft= 4x + x

30ft = 5x

divide both sides by 5

6ft= x

breadth = 6ft

length = 4x= 4 x 6 = 24ft

simplify
[tex](3x ^{2} ) ^{3} [/tex]
this is it ​

Answers

First two are the explanation and the last one is the answer :)

Kristen invested $1,800 in an account paying 6.5% simple interest. After 5 years, what is the balance of her account?

Answers

Answer: 2,385

Step-by-step explanation:

please hakdshfkasdjf;kajsd;kfjas;kdfjaksjdfklasjdfkljhklajsdflkajsdklfajskjd;hfjalsdf;asdkfj;aksfasdfad;s;fasdfddddddddddddddddddddddddddddddddddddddd

Answers

Answer: gtne

Step-by-step explanation:

Please help ASAP!!!!

Answers

Answer:

(-2, 0, 1, 3)

Step-by-step explanation:

From the given graph, there are four x-intercepts, which are the points the graph crosses the x-axis

Taking the y-axis as the given vertical line, and each demarcation as representing one unit division, we have;

The x coordinates of the x-intercepts are given as follows;

1) Two lines to the left of the origin which represents "-2"

2) Through the origin, which represents "0"

3) One line to the right of the origin which represents "1"

4) Three lines to the right of the origin which represents "3"

The set of values that represents the x-intercepts of the function are;

(-2, 0, 1, and 3)

Select the correct answer.
What is the missing side length in this right triangle?

Answers

Answer:

15

Step-by-step explanation:

It's a right angle triangle so we can use the pythogorean theorem to solve for Hypotenuse

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

So if we apply this formula,

[tex] {9}^{2} + {12}^{2} = {c}^{2} [/tex]

[tex]81 + 144 = {c}^{2} [/tex]

[tex]225 = {c}^{2} [/tex]

[tex]c = \sqrt{225} [/tex]

[tex]c = 15[/tex]

Hope this helps :)

Okay first off you need to use the Pythagorean Theorem Equation:

a^2 + b^2 = c^2

Now since we know a = 9, and b = 12 we can plug those in :)

9^2 + 12^2 = c^2

Remember 9^2 = 81, 12^2 = 144

81 + 144 = c^2

Now add those together m

225 = c^2

Now we need to square root both sides to get rid of the power of 2

square root(225) = square root(c^2)

So the answer is ——> c = 15

does this graph represent a function? if yes why?

Answers

Yes, it is a function because each member in the domain is assigned to exactly one member in the range

The table shows the amount of apple sauce made from one apple of each size. Patrice has 17 medium apples and 23 large apples. What is the total amount of apple sauce that she can make with these apples? here's the table:

Apple size: small medium large


1/3 cup 1/2 cup 3/4 cup

Answers

Answer:

uhhhhh 75

Step-by-step explanation:

Hi another math question please help:)

Answers

Answer:

1). Yes

2). Yes

3). No

Step-by-step explanation:

1). y = 3

  We can rewrite this equation in the slope-intercept form as,

   y = 0.x + 3

  Here, slope = 0

  y-intercept = 3

  Therefore, it's a linear relation.

  YES.

2). 2x - 5y = 10

   5y = 2x - 10

   y = [tex]\frac{2}{5}x-2[/tex]

   Therefor, it's a linear function.

   YES

3). y = x(x + 3)

   y =x² + 3x

   Since, this equation is a quadratic equation,

   It's not a linear function.

   NO

marking Brainlist 7-9g+3g

Answers

Answer:

7-6g

Then you do the 1 step equation.

Divide both sides by 6.

1.16=g

I'm not sure if it's right.

Slope:
Y-Intercept:
Equation:

Answers

Slope: 3/2.
Y intercept: -3
Equation: Y=3/2x-3

Use the replacement set {4, 8, 21} to find the solution of the equation
7n - 4 = 24.

Answers

Answer:

n=4

Step-by-step explanation:

7n - 4 = 24

24 + 4 = 28

7n = 28

n = 4    

OR  plug in the sets you gave and see if they equal 24

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

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