1 answer:
Answer:
11 pennies
33 nickels
7 quarters
Step-by-step explanation:
Let x be the number of pennies, then the number of nickels is 3x.
There are 51 coins in total, so the number of quarters is 51 - x - 3x = 51 - 4x.
Amounts:
- in pennis - x cents;
- in nickels - 5(3x) = 15x cents;
- in quarters - 25(51 - 4x) cents.
Tota amount = $3.51 = 351 cents.
Hence,
11 pennies
33 nickels
7 quarters
You might be interested in
The manager already hired 9 people. Let be the number of people he still can hire. Since these people will add to the 9 he already hired, when the hiring campaign will be over he will have hired
people. We know that he can't hire more than 14 people, so the number of people hired must be less than or equal to 14:
If we subtract 9 from both sides, we have
so, the manager can hire at most 5 other people
Answer:
Step-by-step explanation:
If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?
f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15
f(1) = 2 - 15 + 22 + 15
f(1)= 24.
No the result is not zero. So x - 1 is not a factor.
However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.
The numbers that do make this zero are -0.5, 3, 5
Which mean that the factors are (2x+1)(x-3)(x - 5)
