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iren2701 [21]
2 years ago
13

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:
scoundrel [369]2 years ago
7 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.

DaniilM [7]2 years ago
5 0
The answer is D. You do not subtract, and the M needs to be behind 25. Hope this Helps!
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elena55 [62]

Answer:

Option A,$320.98  is correct

Step-by-step explanation:

The new balance on Elijah's credit is the sum of the last balance plus new charges minus payments made.

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new charges were $213.40

payment made by Elijah was  $45

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7 0
1 year ago
7526.442 rounded to the nearest hundredth
AlladinOne [14]
Number > 5 - round up
Number = 5 - round up
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7526.442

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7526.44
3 0
2 years ago
Every day, Jorge buys a lottery ticket. Each ticket has a probability of of winning a prize. After six days, what is the probabi
Romashka [77]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Every day, Jorge buys a lottery ticket. Each ticket has a 0.16 probability of winning a prize. After six days, what is the probability that Jorge has won at least one prize? Round your answer to four decimal places.

Answer:

The probability that Jorge has won at least one prize after six days is

P(at least 1 win) = 0.6487

Step-by-step explanation:

Every day, Jorge buys a lottery ticket which has a 0.16 chance of winning a prize.

We want to find out the probability that Jorge has won at least one prize after six days.

P(at least 1 win) = 1 - P(not winning for 6 days)

We know that the probability of winning is 0.16 then the probability of not winning is

P(not winning) = 1 - 0.16 = 0.84

For 6 days,

P(not winning for 6 days) = 0.84×0.84×0.84×0.84×0.84×0.84

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P(at least 1 win) = 1 - 0.3513

P(at least 1 win) = 0.6487

6 0
2 years ago
in 448 244 how is the relationship between the first pair of 4s the same as the relationship between the second pair of 4s
sineoko [7]
Well there similar because your adding 10 more or 10× since from ones to the tens is 10×
8 0
1 year ago
Read 2 more answers
Which graph represents the function f(x)=x4+4x3−12x2−32x+64?
sp2606 [1]

f(x)=x^4+4x^3-12x^2-32x+64

The degree of f(x) is 4. Also the leading coefficient is 1 and it is positive

So  as x approaches infinity then y approaches infinity

as x approaches -infinity then y approaches infinity

The first and fourth graph goes up and it satisfies the above . so we ignore the second and third graph.

Now we check the x intercepts of the first  graph

x intercepts of first graph is -4  and 2

Plug in -4 for x in f(x) and check whether we get 0

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f(x)=(-4)^4+4(-4)^3-12(-4)^2-32(-4)+64=0

Now plug in 2 for x and check

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So -4  and 2  are the x intercepts that satisfies f(x)

Hence first option is the graph of f(x)=x^4+4x^3-12x^2-32x+64





5 0
2 years ago
Read 2 more answers
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