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Olin [163]
3 years ago
14

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? 112 – 25m + 45 = 50 – 60m 112 + 25 + 45m = 50m + 60 112 + 25 – 45m = –50m + 60 112 + 25m + 45 = 50 + 60m
Mathematics
2 answers:
swat323 years ago
6 0

Answer:

D

Step-by-step explanation:

Volgvan3 years ago
4 0

Answer:

The correct answer is the last option, that is,

112 + 25m + 45 = 50 + 60m

Step-by-step explanation:

We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be: 112 + 45 + 25m

We have been given that the second runner has $50 in savings and will save $60 each month. Therefore, amount of money in the account of second running after m months will be: 50 + 60m

In order for amount of money to be equal in accounts of both the runners, we set up: 112 + 45 + 25m = 50 + 60m

Upon rewriting the left hand side using commutative law, we get:

112 + 25m + 45 = 50 + 60m

Therefore, we can see that the last option is the correct answer.

I hope this helped. I am sorry if you get this wrong.

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A is (4,15) and b is (8,1) what is the midpoint of AB?
antoniya [11.8K]

Answer:

(6,8)

Step-by-step explanation:

midpoint=(x1+x2)÷2,(y1+y2)÷2

a(4,15) b(8,1)

x=4+8=12÷2=6

y=15+1=16÷2=8

Answer=(6,8)

8 0
2 years ago
There are 8 roses in a vase of 14 flowers. The rest are daisies.
s344n2d4d5 [400]

Answer:

a) 4:3

b) 7:3

Step-by-step explanation:

No. of roses= 8

No. of daisies = 6

Total no. of flowers = 14

a) Ratio of roses to daisies = No. of roses/No. of daisies

8/6

= 4/3

= 4:3

b) Ratio of all flowers to daisies = No. of all flowers/ No. of daisies

14/6

= 7/3

= 7:3

3 0
3 years ago
I NEED HELP ASAP!!!!!
viva [34]

Answer:

1 is 12

2 is 1/2 and 3/4

3 is 802,083

4 is 96

5 is 23

6 is 2/3

3 0
3 years ago
Find the maximum production level p = 100x^{0.34}y^{0.66} if the total cost of labor (at $72 per unit) and capital (at $40 per u
Anton [14]

Maximum production p=552728

Step-by-step explanation:

The equation for maximum production is : p=100x^{0.34} y^{0.66}

The number of units of labor is x @$72

The number of units of capital is y @$40

The total cost of labor and capital is limited to $270,000, this can be written as;

72x+40y ≤ $270,000

Graphing the inequality to find values of x and y ,from the graph;

x=3750 units

y=6750  units

Applying the expression for maximum production

p=100*x^{0.34}* y^{0.66} \\\\p=100*3750^{0.34} *6750^{0.66} \\\\p=552727.56\\\\p=552728

Learn More

Inequalities graphs :brainly.com/question/11386040

Keywords: maximum, production,cost, labor,limited to,capital ,unit

#LearnwithBrainly

6 0
2 years ago
Find f(−1) given that f(x)=x3+2x2+3x+4. <br>A. 10 <br>B. -2 <br>C. 2 <br>D. -10
Finger [1]

Answer:

The answer is option C

Step-by-step explanation:

f(x) = x³ + 2x² + 3x + 4

To find f(-1) substitute the value of x that's

- 1 into f(x)

That's

<h3>f( - 1) =  ({ - 1})^{3}  + 2 ({ - 1})^{2}  + 3( - 1) + 4 \\  =  - 1 + 2(1)  - 3 + 4 \\  =  - 1 + 2 - 3 + 4 \\  = 1 - 3 + 4</h3>

We have the final answer as

<h3>f( - 1) = 2</h3>

Hope this helps you

8 0
3 years ago
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