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spin [16.1K]
2 years ago
15

sally has a piggy bank with $10 in it. She counted 68 coins of only quarters and nickles. How many nickles are in her piggy bank

?
Mathematics
1 answer:
UkoKoshka [18]2 years ago
7 0

Answer:

n=35; q=33 coins.

Step-by-step explanation:

1) if number of nickles is 'n' and the quaters is 'q' then it is possible to write:

n+q=68 - 'she counted 68 coins...' - the 1st equation of system;

0.25q+0.05n=10 - '10$ in it' - the 2d equation of the system.

2) it is possible to make up and solve the next system of two equations:

\left \{ {{q+n=68} \atop {0.25q+0.05n=10}} \right. \ => \ \left \{ {{q=33} \atop {n=35}} \right. .

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1/2(y+3)>1/3(4-y) with the steps
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Step-by-step explanation:

<h3><u>Diagram</u><u>:</u><u>-</u></h3>

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3 years ago
A store finds that the number of shirts sold increases each week. In the first week, only 15 shirts were sold. In the next week,
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The explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

In the first week, only 15 shirts were sold. In the next week, 22 shirts were sold and in the third week, 29 shirts were sold.

15, 22, 29,...

The first term a = 15

The common difference d = 22 - 15 = 7

a(n) = 15 + (n - 1)7

a(n) = 7n + 8

Thus, the explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...

Learn more about the sequence here:

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The product of 2 numbers is -24 and their sum is -5. What are the two numbers and why are they the two numbers?
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Step-by-step explanation:

  • Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.

⇒ a + b = -5 ⇒ b = -5 - a

⇒ a × b = -24 -------- (1)

  • Step 2: Substitute the value of b in eq(1)

⇒ a × (-5 - a) = - 24

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⇒ a² + 5a - 24 = 0

  • Step 3: Solve the quadratic equation for a.

a = (-5 ± √25 - 4 × 1 × -24)/2

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  • Step 4: For each value of a, find b.

When a = -8, b = -5 +8 = 3

When a = 3, b = -5 - 3 = -8.

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3 years ago
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