1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Masja [62]
3 years ago
10

Two runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and

will save $25 each month. The second runner has $50 in savings and will save $60 each month. Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?
Mathematics
1 answer:
sergiy2304 [10]3 years ago
3 0

Answer: it would take 3.1 months

Step-by-step explanation:

Let m represent the number of months that that it will take either of the runners to have the same amount of money in their accounts.

Let y represent the total amount that runner 1 saves for m months

Let z represent the total amount that runner 2 saves for m months

The first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. This means that the total amount that he will save for m months would be

y = 112 + 45 + 25m

y = 157 + 25m

The second runner has $50 in savings and will save $60 each month. This means that the total amount that he will save for m months would be

z = 50 + 60m

To determine the number of months before the amount in the account of both runners becomes the same, we would equate y to z. It becomes

157 + 25m = 50 + 60m

157 - 50 = 60m - 25m

35m = 107

m = 107/35

m = 3.06

You might be interested in
Solutions for 2x^2+18x=20, worth a TON, please only 100% answers ! Thank u !
victus00 [196]

Answer:

The solution of the given quadratic equation is 1 and (-10).

Step-by-step explanation:

2x^2+18x=20

x^2+9x=\frac{20}{2}

x^2+9x-10=0

ax^2+bx+c=0

Solving equation by quadratic formula:

Here , a = 1,b = 9, c = (-10)

D=b^2-4ac=(9)^2-4(1)(-10)=121

x=\frac{-b+{\sqrt{D}}}{2a}=\frac{(-9)+\sqrt{121}}{2(1)}=1

x=\frac{-b-{\sqrt{D}}}{2a}=\frac{(-9)-\sqrt{121}}{2(1)}=(-10)

The solution of the given quadratic equation is 1 and (-10).

5 0
3 years ago
Write a number using the following clues:
Korvikt [17]

Answer:

Theres a lot of numbers you can choose from 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96,

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Solve 12 + 6m = 2m. m = =​
Shkiper50 [21]

Answer:

-3

Step-by-step explanation:

8 0
3 years ago
Hey I need help with my question please​
SVETLANKA909090 [29]

Answer:

can I help with your question ❤❤❤❤❤

4 0
3 years ago
Read 2 more answers
sarah recives an inheritance of 180000.she decided to invest this for the next five years as part of her saving plan for a housi
anastassius [24]

Answer: 10350

Step-by-step explanation:

Amount invested = Principal = 180,000

Interest rate = 5.75%

Time = 1 year

The interest that is earned at the end of the first year will be:

= PRT

= 180,000 × 5.75% × 1

= 180,000 × 0.0575 × 1

= 10350

8 0
3 years ago
Other questions:
  • A car travels 17 miles on one gallon of gas.
    8·1 answer
  • The curved part of this figure is a semicircle.
    11·1 answer
  • Which is the better buy 4 muffins for 0.85 or 1dozen muffins for 2.50
    15·2 answers
  • Helpp please!!!
    9·1 answer
  • What is the slope of a line parallel to -6x + 3y = 5<br><br> A. -2<br> B. 1/2<br> C. -1/2<br> D. 2
    9·1 answer
  • This is dueeeeeee tomorow please help
    8·1 answer
  • Evaluate d-17 when d=30​
    9·2 answers
  • Solve the inequality 2x + 5 2 27
    15·2 answers
  • A lava lamp is an example of which type of heat transfer?
    10·2 answers
  • Find the length of CB.<br> 5x – 3<br> 3x + 1
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!