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andreyandreev [35.5K]
3 years ago
5

A bank teller knows that she received 34 dimes and nickels from a customer. If the change totaled $2.05, how many dimes and nick

els did she receive?
Mathematics
1 answer:
ivanzaharov [21]3 years ago
7 0
D = # of dimes
n= # of nickles

d + n = 34 so d = 34 - n
.10d + .05n = 2.05

substitute d = 34 - n into .10d + .05n = 2.05

.10d + .05n = 2.05
.10( 34 - n) + .05n = 2.05
3.4 - .1n + .05n = 2.05
     -.05n = -1.35
  n = 27

d = 34 - n
d = 34 - 27
d = 7

answer

<span>she received 7 dimes and 27 nickels</span>
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2 years ago
Is x + 10 a factor of the function f(x) = x3 − 75x + 250? Explain.
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Yes. When the function f(x) = x3 – 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 – 75x + 250. 

According to the remainder theorem when f(x) is divided by (x+a) the remainder is f(-a). 
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