What is the equation in standard form of the line that passes through the point (4,-8) and 2 has the slope of 1/4
1 answer:
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- HJ = 23.5 in
Take HJ = a, GH = b and GJ = c
- a = b + 2
- c = a + b - 17
- a + b + c = 73
put the value of a from equation 1 in equation 2
- c = (b + 2) + b − 17
- c = 2b − 15
now, put the value of a and c in equation 3
- b + 2 + b + 2b − 15 = 73
- 4b − 13 = 73
- 4b = 86
- b = 21.5 in
Now, we need to find HJ (a)
- a = b + 2
- a = 21.5 + 2
- a = 23.5 in
- HJ = 23.5 in
Given:
Total number of coins (Quarters and dimes) = 60
Total amount = $12.45
To find:
The number of quarters and dimes.
Solution:
Let x be the number of quarters and y be the number of dimes.
We know that,
1 quarter = 0.25 dollar
1 dime = 0.10 dollar
Total coins: ...(i)
Total amount: ...(ii)
From (i), we get
...(iii)
Putting this value in (ii), we get
Divide both sides by 0.15.
Putting x=43 in (iii), we get
So, the number of quarters is 43 and the number of dimes is 17.
Therefore, the correct option is b.