Answer:
There are 10 quarters and 7 dimes
Step-by-step explanation:
The question asks for the number of quarters and the number of dimes.
Quarters and Dimes equal 17, so let number of quarters be "q" and number of dimes be "d", so we can write:
q + d = 17
We know quarters are worth 0.25 and dimes are worth 0.10 (in dollars) and total value of the coins are 3.20 dollars, thus we can write:
0.25q + 0.10d = 3.20
Let's write the first equation as:
q = 17 - d
Now we substitute this into 2nd equation and solve for d:
0.25q + 0.10d = 3.20
0.25(17 - d) + 0.10d = 3.20
4.25-0.25d+0.10d = 3.20
-0.15d = -1.05
d = 7
Now using this value of d, we now find q:
q = 17 - d
q = 17 - 7
q = 10
There are 10 quarters and 7 dimes
Answer:
Step-by-step explanation:
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Answer: (0, 6)
Step-by-step explanation:
- 3 = xy + z
xy + z = - 3
subtract z from both sides:
xy +z - z = -3 - z
yx = - 3 - z
Divide both sides by y :
yx / y = - 3 - z / y
x = -3-z / y
y ≠ 0
hope this helps!
Answer: B) 4 & 1/6
Nice work on getting the correct answer.
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Explanation:
x is opposite the marked acute angle
5 is opposite the corresponding acute angle
So x and 5 are proportional to each other. We can form the ratio x/5
Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.
Set those ratios equal to each other and solve for x
x/5 = 10/12
12x = 5*10 ... cross multiply
12x = 50
x = 50/12 ...... divide both sides by 12
x = (25*2)/(6*2)
x = 25/6
x = (24+1)/6
x = 24/6 + 1/6
x = 4 + 1/6
x = 4 & 1/6 which shows why <u>choice B</u> is the answer.
Side note: 25/6 = 4.167 approximately
