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Karolina [17]
3 years ago
10

If a−3b/a+b = 3/4 , what are the following ratios? a+b/a

Mathematics
1 answer:
ivanzaharov [21]3 years ago
6 0

Answer:

16/15

Step-by-step explanation:

We are given the equation;

a−3b/a+b = 3/4

We are required to determine the ratio a+b/a

It will be easier to first determine the value of a/b

  • Using cross multiplication;

a−3b/a+b = 3/4  becomes,

4(a-3b) = 3(a+b)

4a - 12b = 3a + 3b

  • Combining the like terms;

4a - 3a = 3b + 12b

a = 15 b

Thus, a/b = 15/1

Taking a = 15 and b = 1

Then,

a+b/a = (15 + 1)/15

         = 16/15

Therefore, the ratio a+b/a is 16/15

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2 years ago
Eric has 183 coins all of them are nickels and dimes. If the total value of the coins is 14.45, how many of each denomination co
FromTheMoon [43]

Answer:

77 nickels

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Step-by-step explanation:

Let there be n nickes and d dimes

Since there are 183 coins, we can write:

n + d = 183

Also, the value of nickel is 0.05 and dime is 0.1, total value is 14.45, so we can write:

0.05n + 0.1d = 14.45

Solving 1st equation for n, we have:

n = 183 - d

Putting this into 2nd equation and solving for d:

0.05n + 0.1d = 14.45\\0.05(183-d) + 0.1d = 14.45\\9.15-0.05d+0.1d=14.45\\0.05d=5.3\\d=106

There are 106 dimes

Since, n = 183 - d

n = 183 - 106

n = 77

There are 77 nickels

4 0
3 years ago
Need help on this please
Akimi4 [234]
Question 10
30-2=28

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