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➷ First identify and assign the variables:
q = number of quarters
d = number of dimes
This is what we know:
q + d = 22
A quarter is 25 cents and a dime is 10 cents
You can write this as:
0.25q + 0.1d = 3.40
Rearrange the first equation for d
d = 22 - q
Substitute this value into the other equation:
0.25q + 0.1(22 - q) = 3.40
Simplify:
0.25q + 2.2 - 0.1q = 3.40
0.15q + 2.2 = 3.4
Subtract 2.2 from both sides:
0.15q = 1.2
Divide both sides by 0.15:
q = 8
Substitute into the first equation:
8 + d = 22
d = 14
Therefore, there are 8 quarters and 14 dimes.
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12/12 would be the fraction of all students...now subtract all of the fractions that represent students not in the volunteer programs...
12/12-2/12-4/12-1/12
(12-2-4-1)/12
5/12
So 5/12 of the student participate in volunteer programs.
Divide 300 by 8 to find the unit rate
300/8= 37.5
He travels 37.5 miles per hour
If he travels 37.5 miles per hour, to find the amount in 4 hours we would do 37.5 times 4
37.5×4=150
In 4 hours he travels 150 miles
It is 15 because 5 times 3 is 15
Answer:
1.Equation ----- 8x=12
2. x=1.5
3. cost of a single song is $1.5
4.$12 gift card will download 8 songs
Step-by-step explanation:
The amount of money the gift card holds is $12
Number of songs bought= 8 songs
Let the cost of a single song to be =$x
The cost of 8 songs will be =$x × 8=$ 8x
So the 8 songs will all cost $12
This means; $ 8x = $12
Equation------ 8x=12
Finding cost of a single song
8x=12------------------divide by 8 both sides
x=12/8------------------simplify
x=3/2 = $ 1.5
Checking for solution
if a single song costs $1.5 , who many songs can a gift card with $12 download?
Here we divide $12 by $1.5 = $12/$1.5= 8 songs------------correct number of songs as mentioned in the question.
