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:
X' is (5,-5)
Step-by-step explanation:
Knowing that this is just a translation, we can reverse the (polarity?) of each equation, such as changing -5 to +5 to find the original answer.
With that in mind, we can add 2 to X, and -1 from Y, which puts us at, 5 on the X axis, and -5 on the Y axis.
Answer:
(x+5)² + (y+2)² = 5²
Step-by-step explanation:
(x-p)² + (y-q)² = r²
Answer:
20,000
Step-by-step explanation:
7x+20 = 5x+100
2x = 80
x=40
5(40)+100=20,000
Answer:
12 + 5 if not 12 * 5
Step-by-step explanation:
12 added to 5 =
13 + 4 =
14 + 3 =
15 + 2 =
16 + 1 =
17 + 0 =
17
and figure out the rest