If you had values instead of algebraic expressions, you would find the area of the patio and subtract that from the area of the yard. Even though you don't have values, you can still find the area and subtract by expanding and simplifying:
(8x + 2)(6x + 3)
8x × 6x = 48x²
8x × 3 = 24x
2 × 6x = 12x
2 × 3 = 6
So you get 48x² + 36x + 6 as your area of the yard
(x + 5)(3x + 1)
x × 3x = 3x²
x × 1 = x
5 × 3x = 15x
5 × 1 = 5
So the area of the patio is 3x² + 16x + 5
(48x² + 36x + 6) - (3x² + 16x + 5)
48x² - 3x² = 45x²
36x - 16x = 20x
6 - 5 = 1
So your answer is D. 45x² + 20x + 1. I hope this helps!
Answer:
The number of butterflies he collects = 176
The number of moth he collects = 44
Step-by-step explanation:
This question has to do with ratio.
We are told in the question that:He collects 4 butterflies for every moth.
Hence, the ratio of
Butterflies : Moth
4 : 1
Sum of the proportion = 4 + 1 = 5
We are also told he has a total of 220 butterflies and moths.
Hence:
The number of butterflies he collects is calculated as
4/5 × 220 = 176 butterflies
The number of moth that he collects =
1/5 × 220 = 44 moth
Answer:
155 inches
Step-by-step explanation:
1 yard = 3 feet = 36 inches ; 6 yards = 18 feet = 216 inches ; 216 inches-61 inches = 155 inches
