The equation which can be used to find the number of quarters and nickels is; n + q = 84, 0.05n + 0.25q = 17.80.
<h3>Quarters and nickels</h3>
- Total coins = 84
- Total value = $17.80
let
- Number of quarters = q
- Number of nickels = n
n + q = 84
0.05n + 0.25q = 17.80
From equation (1)
n = 84 - q
Substitute into (2)
0.05n + 0.25q = 17.80
0.05(84 - q) + 0.25q = 17.80
4.2 - 0.05q + 0.25q = 17.80
- 0.05q + 0.25q = 17.80 - 4.2
0.20q = 13.60
q = 13.60 / 0.20
q = 68
Substitute q = 68 into
n + q = 84
n + 68 = 84
n = 84 - 68
n = 16
Therefore, the number of quarters and nickels are 68 and 16 respectively.
Learn more about quarters and nickels:
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Hello!
You read scientific notation by moving the decimal that amount of spaces next the the 10
1.263 * 10^3
You move the decimal over 3 places
1.263 * 10^3 = 1263
The answer is 1.263 * 10^3
Hope this helps!
A very large percentage, I work in retail and at least 80 percent of people I ask have an email.
Answer:
The solution set is {x : x ∈ R, x < -7} ⇒ A
Step-by-step explanation:
- The solution set of the inequality x > a is {x : x ∈ R, x > a}
- The solution set of the inequality x < a is {x : x ∈ R, x < a}
- The solution set of the inequality x ≥ a is {x : x ∈ R, x ≥ a}
- The solution set of the inequality x ≤ a is {x : x ∈ R, x ≤ a}
Let us solve the question
∵ x + 2 < -5
→ Subtract 2 from both sides of the inequality
∴ x + 2 - 2 < -5 - 2
∴ x + 0 < -7
∴ x < -7
→ By using the second rule above
∴ The solution set is {x : x ∈ R, x < -7}
