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zavuch27 [327]
3 years ago
7

Please answer quickly! A recipe asks for 1/3 cup of nuts. How many nuts are needed to make 1/4 of the recipe?

Mathematics
1 answer:
anastassius [24]3 years ago
6 0
Answer: 1/12 of a cup

To get this answer, you multiply 1/4 by 1/3
Multiply straight across
(1/4)*(1/3) = (1*1)/(4*3) = 1/12
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Solve the following system by Elimination:
{7 x + 3 y = 22 | (equation 1)
{4 y = 20 | (equation 2)

Divide equation 2 by 4:
{7 x + 3 y = 22 | (equation 1)
{0 x+y = 5 | (equation 2)

Subtract 3 × (equation 2) from equation 1:
{7 x+0 y = 7 | (equation 1)
{0 x+y = 5 | (equation 2)

Divide equation 1 by 7:
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{0 x+y = 5 | (equation 2)

Collect results:

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Solve the following system:
{y - 2 x = 10 | (equation 1)
{4 x - y = -14 | (equation 2)

Swap equation 1 with equation 2:
{4 x - y = -14 | (equation 1)
{-(2 x) + y = 10 | (equation 2)

Add 1/2 × (equation 1) to equation 2:
{4 x - y = -14 | (equation 1)
{0 x+y/2 = 3 | (equation 2)

Multiply equation 2 by 2:
{4 x - y = -14 | (equation 1)
{0 x+y = 6 | (equation 2)

Add equation 2 to equation 1:
{4 x+0 y = -8 | (equation 1)
{0 x+y = 6 | (equation 2)

Divide equation 1 by 4:
{x+0 y = -2 | (equation 1)
{0 x+y = 6 | (equation 2)

Collect results:

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