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Tamiku [17]
2 years ago
14

A pile of 55 coins consisting of nickels and dimes is worth $3.90 . Find the number of each.

Mathematics
1 answer:
Step2247 [10]2 years ago
7 0

Answer:

Answer:

Answer is: 32 nickels and 23 dimes.

x - number of nickels .

y -number of dimes.

two equations in two unknowns:

1) x + y = 55

2) 0,05x + 0,1y = 3,90.

nickel is a five-cent coin.

dime is a ten-cent coin.

solve equation 1) for x and substitute for x in equation 2)

x = 55 - y

0,05·(55 - y) + 0,1y = 3,902,75 - 0,05y + 0,1y = 3,90

0,05y = 1,15

y = 23.

x = 55 - 23 = 32.

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Carmen's golf score is 6 strokes less than Linda's. Their two scores total 156. What is each girls score?​
DochEvi [55]

Answer:

Carmen's score is 75 strokes.

Linda's score is 81 strokes.

Step-by-step explanation:

Let the score of Linda be "x".  

<em>It is given that Carmen's golf score is 6 strokes less than Linda's.</em>

Thus, Carmen's score is (x-6).

The total score of the girls is

= x + (x-6) = 2x-6

The total score is given to be 156.

Thus, the equation becomes,

2x-6 = 156

2x= 162

x = 81

<em>Thus Linda's score is 81 and Carmen's score is (156-81) 75.</em>

5 0
2 years ago
Isla is dividing 3x3 + x2 - 12x - 4 by x + 2 using a division table.
maria [59]

A. A = -10 x, B = -4

<u>Explanation:</u>

Given:

For A:

The Quotient of the Operation is -5 x

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The Divisor of the Operation is +2

So the remainder is -4

So, the missing values in the table is A = -10 x and B = -4

3 0
2 years ago
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Select the locations on the number line to plot the points 10/2 and −9/2 .
tresset_1 [31]

Answer:

5 and -4.5

Step-by-step explanation:

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A triangular prism has an equilateral base with each side of the triangle measuring 8.4 centimeters. The height of the prism is
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Answer:

It is 20.4 and 16.8

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