Bert and Harriet collect quarters and pennies. When they wrapped coins to take to the bank, they had $42.50. If they wrapped a total of 410 coins, how many were pennies?

there are 250 pennies

Step-by-step explanation:

q = quarters

p =pennies

q+p = 410  so q = 410 -p

.25q+ .01p = 42.50

Replace q with 410 -p

.25(410-p) +.01p = 42.50

102.50 - .25p +.01p = 42.50

Combine like terms

102.50 -.24p = 42.50

Subtract 105.20 from each side

-.24p = 42.50-102.50

-.24p =-60

Divide each side by -.24

-.24p/-.24 =-60/-.24

p =250

x equals 1

step-by-step explanation:

f(4)=f(×)

x=1

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11