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vlabodo [156]
3 years ago
10

two positive integers are 3 units apart on a number line. their product is 180. wich equation can be used to solve for m, the gr

eater integer?​
Mathematics
1 answer:
3241004551 [841]3 years ago
5 0

Answer:

m^2-3m-180=0

m=15

Step-by-step explanation:

greater integer = m

small integer = n

we know that m = n+3 or n = m-3

we also know that n*m = 180

replace n for m-3

(m-3)*m=180

or

m^2-3m-180 = 0

(m-15)(m+12)=0

so m = 15 or -12, but since problem states positive, m=15

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Kay has 28 coins which includes nickels and dimes if the total is 2.35$, how many of each coin does Kay have?
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Answer:

19 dimes and 9 nickels

Step-by-step explanation:

Model the situation using two equations, then solve the system.

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Rearrange n + d = 28.

n = 28 - d

Now we can substitute this equation into the other one.

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0.05(28 - d) + 0.10d =  2.35

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0.05d = 2.35 - 1.4

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Choose the equation n + d = 28 because the numbers are easier.

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n = 28 - 19

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