Answer:
- 39 quarters and 41 nickels
Step-by-step explanation:
Let the number of quarters be x and nickels be y.
<u>Given:</u>
- Quarter is 25 cents
- Nickel is 5 cents
- Number of coins is 80
- Total amount is $11.80 = 1180 cents
<u>We have equations:</u>
- x + y = 80
- 25x + 5y = 1180
<u>Solve the system by elimination, subtract 5 times the first equation from the second one:</u>
- 25x + 5y - 5x - 5y = 1180 - 80*5
- 20x = 780
- x = 780/20
- x = 39
<u>Find the value of y:</u>
- 39 + y = 80
- y = 80 - 39y = 41
<u>Verify:</u>
- 25*39 + 5*41 = 975 + 205 = 1180
Answer:
193
Step-by-step explanation:
9^2 = 81+181=262-69= 193
Answer:
2x^2 + 4x+2
Step-by-step explanation:
f(x) = 2x^2 + x and g(x) = 3x + 2
f(x) + g(x) = 2x^2 + x + 3x + 2
Combine like terms
= 2x^2 + 4x+2
$36.8 because if you do 40 times .08 you get 3.2, after that you do 40-3.2 and you get 3.8. Hope this helps.
Answer:
Step-by-step explanation:
<u>Given function</u>
From the table we get the function g(x), use pairs (1, 10) and (3, 14)
<u>The slope:</u>
- m = (14 - 10)/(3 - 1) = 4/2 = 2
<u>The y-intercept:</u>
- 10 = 2(1) + b
- b = 10 - 2
- b = 8
<u>The function g(x) is found as:</u>
<u>The y- intercept of f (x) is subtracted from the y-intercept of g (x):</u>
