Let A, M, and w represent Angelo's distance per week, Marc's distance per week, and the number of weeks of this regimen, respectively.
.. A = w +7 . . . . . . . Angelo's distance goes up 1 mile/week each week
.. M = 2w +4 . . . . . Marc's distance goes up 2 miles/week each week
a) A = M
.. w +7 = 2w +4
.. 3 = w . . . . . . . . . . subtract w+4
After 3 weeks Angelo and Marc will be running the same distance.
b) A = M = 3+7 = 2*3+4 = 10
That distance will be 10 miles per week.
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This problem can be a little confusing because "miles per week" is a rate, and we're talking about the rate of increase of that rate: 1 or 2 miles per week per week. It might be easier to think of the numbers as "weekly distance", rather than "miles per week".
5 is a constant - you pay $5 before you go on any of the waterslides.
let the number of waterslides Steven went on = x
5 +2x =17 ($5 plus $2 per waterslide ride = 17)
Answer a is correct.
By the way, Steven went on 6 waterslide rides.
X = 3z - 22
z = 6
5x + 4y + 3z = 14
5 (3z - 22) + 4y + 3 (6) = 14
15z - 110 + 4y + 18 = 14
15 . 6 - 110 + 4y + 18 = 14
90 - 110 + 4y + 18 = 14
90 - 110 + 18 - 14 + 4y = 0
-16 + 4y = 0
4y = 16
y = 4
Answer:
When sides are doubled, the area of new triangle will always be 4 times the original, the change in area will be 3 times. Hence the % change will always be 300% irrespective of the type of triangle.
Step-by-step explanation:
When we make it into a common denominator, find a common multiple between the denominators. For this instance, it is
3/4=9/12
2/3=8/12
When we see it with a common denominator, 3/4 is bigger than 2/3.
