Answer:
9 quarters
Step-by-step explanation:
Total cost of money in the coin bank = $3.55
Let the number of dimes be = d
Let the number of quarters be = q
Let the number of nickels be = n
Where:
1 quarter = $0.25
1 dime = $0.1
1 nickel = $0.05
Hence,
0.1(d) + 0.25(q) +0.05(n) = $3.55
In the question, we are told that:
The number of dimes is four less than the number of quarters, mathematically
d = q - 4
The number of nickels is seven more than the number of quarters, mathematically,
n = q + 7
From the question, we are ask to find q
0.1(d) + 0.25(q) +0.05(n) = $3.55
since d = q - 4
n = q + 7
We substitute
0.1(q - 4) +0.25( q )+ 0.05(q + 7) = $3.55
0.1(q - 4) +0.25( q )+ 0.05(q + 7) =$3.55
0.1q - 0.4 +0.25q + 0.05q + 0.35 = $3.55
Collect like terms
0.1q + 0.25q + 0.05q = 3.55 + 0.4 - 0.35
0.4q = 3.6
q = 3.6/0.4
q = 9
Therefore the number of quarters is 9.
Answer:
Length: (x - 4) meters
Step-by-step explanation:
x² - 16
x² - 4²
(x - 4)(x + 4)
Answer: One bag of peaches : $22
Step-by-step explanation:
Hi, to answer this question we have to write an equation for William and Sylvia.
- <em>William: 2 p + 3 a = 17
</em>
- <em>Silvia: 4p + 2 a =22
</em>
Where:
p = price of one bag of peaches
a= price of one bag of apricots
Solving for "a" in William's equation:
2p +3a =17
3a = 17-2p
a = (17-2p)/3
a= 17/3 -2/3 p
Replacing "a" in Silvia's equation
4p + 2 a =22
4p + 2 (17/3 -2/3p) =22
4p +34/3-4/3p =22
4p-4/3p =22-34/3
8/3 p =32/3
p =32/3 ÷8/3
p=4
Answer:
B
Step-by-step explanation:
If you plug in -9 you will get -11 for both side.
