Wilton collected $8.50 in dimes and quarters while cleaning his father's truck. If the number of quarters is 3 times the number
1 answer:
Answer:
Wilton found 10 dimes while cleaning his father's truck.
Step-by-step explanation:
Given that:
Total amount collected = $8.50 = 8.50*100 = 850 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement,
10x+25y=850 Eqn 1
y = 3x Eqn 2
Putting y=3x in Eqn 1
Dividing both sides by 85
As x represents dimes, therefore, number of dimes is 10.
Hence,
Wilton found 10 dimes while cleaning his father's truck.
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Answer: y = 2x+22
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Explanation:
The equation y = 2x+5 is in the form y = mx+b
m = 2 = slope
b = 5 = y intercept
Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.
Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c
y = mx+c
12 = 2(-5)+c
12 = -10+c
12+10 = c
22 = c
c = 22
Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22
The equation of the parallel line is y = 2x+22
The graph is below.
