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nadya68 [22]
3 years ago
15

19. Tom has 30 coins with a value of $3.30. If they are all nickels and quarters, how many of each kind of coin does

Mathematics
1 answer:
vova2212 [387]3 years ago
4 0

Answer:

n = nickels, q = quarters

Equation 1: n+q=30

Equation 2: 0.05n+0.25q = 3.30

Step-by-step explanation:

From equation 1, n = 30-q

Substitute in Equation 2:

0.05(30-q) + 0.25q = 3.30

1.5 - 0.05q + 0.25q = 3.30

0.2q = 1.8

q = 9

Substitute in new equation:

n = 30-9

n = 21

It is important to note a nickel is worth 5 cents and a quarter is 25 cents. This helps us build the equations.

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angle K and angle L are complementary angels. If the measurement of angle K =(3x+3) and the measurement of angle L =(10x-4).what
spayn [35]

The measurement of two angles is 24° and 66°

Step-by-step explanation:

First of all, let us define complementary angles

The angles whose sum is 90° are called complementary angles

Given

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∠L = (10x-4)

According to the definition,

K+L = 90\\3x+3 + 10x-4 = 90\\13x -1 = 90\\13x-1+1 = 90+1\\13x = 91

Dividing both sides by 13

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The measurement of two angles is 24° and 66°

Keywords: Complementary angles, Angles

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8_murik_8 [283]

Answer:

3/4 = z

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<u>Step 1:  Convert words into an expression</u>

Divide 3 by 4, then subtract z from the result

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Answer:

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Multiplication is shown in figure attached.

Now adding the results of each cell in the table:

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You can learn more about partial products at:

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