Answer:
54%
Step-by-step explanation:
Percent increase = (new - original)/ original * 100%
The new cost is 800 and the original cost is 520
Percent increase = (800-520)/520 *100%
= 280/520 * 100%
.538461538 * 100%
53.8461538 %
Give the answer to 2 significant figures, means we round to the ones place
54 %
Answer:
An expression to represent the number of butterflies he has is y = 12 + 2x
Step-by-step explanation:
Let the number of butterflies in Eduardo’s collection be y
Then according to the question
The number of moths = x
The number of butterflies y = 12 + twice the number of moths---------(1)
Twice the number of moths = 
Twice the number of moths = 2x -----------------------(2)
Substituting equation (2) in (1)
The number of butterflies y = 12 + 2x
Let's say the length of the ladder is "d". Since the distance from the bottom of the ladder to the building is 16 feet less than the length, we can write this as d - 16.
The distance from the ground to the top of the ladder is 2 feet less than the length of the ladder, so we can denote this as
d - 2.
The shape made by the ground, ladder, and side of the building is a right triangle, and we just found its legs. We can use the Pythagorean Theorem to solve for "d" and find how far up the side of the building the ladder is:
(d - 16)^2 + (d - 2)^2 = d^2
(d^2 - 32d + 256) + (d^2 - 4d + 4) = d^2
2d^2 - 36d + 260 = d^2
d^2 - 36d + 260 = 0
(d - 26) * (d - 10) = 0
d = 26 or d = 10
The answer d = 10 does not fit in this case because it isn't possible to have 16 feet less of 10 feet; it would be negative!
So, d = 26. The top of the ladder to the ground is 2 less than d, so we do 26 - 2 = 24 feet.
The answer is 24 feet.
Answer:
pythagorean theorem
18
Step-by-step explanation:
