W = L - 15
WL = 76
(L-15)L = 76
L^2 - 15L - 76 = 0
(L-19)(L+4) = 0
L = 19 or -4
Since a length cannot be negative, the length must be 19 units.
The width is 19-15=4 units.
Divide 93.75 by 125 = 75%
however, that is not the discount.
it is the difference of the 100 and the discount.
to find the discount, you do 100 - 75 = 25
the discount is 25%
Answer:
x = 10
Step-by-step explanation:
In a triangle, PR is 12 more than twice PQ and If all three sides of the triangle have integer lengths, what is the largest possible value of x?
From the attached diagram, x = PQ
We have sides:
PQ, PR and QR
PR is 12 more than twice PQ
PR = 12 + 2PQ
PR = 12 + 2x
QR is two more than 4 times PQ.
QR = 2 + 4(PQ)
QR = 2 + 4x
Hence: we solve using Triangle Inequality
The triangle inequality states that the sum of the lengths of two sides of a triangle must be greater than the length of the third side.
Based on this property, if you know the lengths of two sides of a triangle and are trying to find the range of lengths of the third side, you can add the two known side lengths together and subtract the smaller one from the bigger one. The third side must be greater than the sum of the other two sides and less than their difference.
PQ > PR + QR
PQ < PR - QR
Therefore:
x + 12 + 2x > 2 + 4x
3x + 12 > 2 + 4x
12 - 2 > 4x - 3x
10 = x
Answer:
124%
Step-by-step explanation:
How much is the decimal number 1.24 written as (converted to) a percent value? Answer: 124%