Answer:
The two numbers are 12 and 6
Step-by-step explanation:
12 - 6 = 6
16 / 6 = 2
Hope this helps!
Answer:
b = 10
Step-by-step explanation:
The area (A) of a triangle is calculated as
A =
bh ( b is the base and h the height )
Here h = 3x + 15 and A = 15x + 75, thus
× b × (3x + 15) = 15x + 75
Multiply both sides by 2 to clear the fraction
b(3x + 15) = 30x + 150
Divide both sides by (3x + 15)
b =
← factor numerator and denominator
=
← cancel the factor (x + 5) on numerator/denominator
= 
= 10
Answer:
3ab(4a + 5b)
Step-by-step explanation:
Given
12a²b + 15ab² ← factor out 3ab from each term
= 3ab(4a + 5b)
Two consecutive negative integers are n and n+1. We are told that the product of these two integers is 600 so:
n(n+1)=600
n^2+n=600
n^2+n-600=0
n^2+25n-24n-600=0
n(n+25)-24(n+25)=0
(n-24)(n+25)=0, since we are told that n is negative...
n=-25
(...-25(-24)=600 so -25 is the value of the lesser integer)
<u>Answer</u>:
Percentage of increase = 16%
===============================================
<u>Step-by-step explanation:</u>
Let the price of an item ⇒ x
When the price of the item increased by 45%, the price will be ⇒ 1.45 x
Then dropped by 20%
So, the final price will be ⇒ (1 - 0.2) * 1.45x = 0.8 * 1.45 x = 1.16 x
By comparing between the original price and the final price
The difference = 1.16 x - x = 0.16x
Percentage of increase =
%