Answer:
(10x² +12x +32) ft²
Step-by-step explanation:
The area of the walkway around the pool is the difference between the area of the entire rectangle, and the area of the pool. The area of each rectangle is found by multiplying its length and width.
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<u>Overall area</u>:
((2x +6) ft) × (10x) ft = (10x² +60x) ft²
<u>Pool area</u>:
((6x -4) ft) × (8 ft) = (48x -32) ft²
<u>Walkway area</u>:
overall area - pool area = ((10x² +60x) ft²) -((48x -32) ft²)
= (10x² +12x +32) ft²
Answer:
A'
L'
T'
It will be in Quadrant IV
Step-by-step explanation:
Answer:
$700
Step-by-step explanation:
Given:
The ratio of taxes to profits is 7:3.
The taxes and profits total $1000.
Question asked:
Amount of taxes = ?
Solution:
Let ratios = 
And amount of taxes = 
Then amount of profit = 
Sum of amount of taxes and profits = $1000.(given)
by dividing both side by 10
Thus, amount of taxes = = 
= 
Thus, amount of profits 
So we know that they spend $100 on the candles. In order to make a $125 profit, they must sell $225 worth of candles. Each candle sells for $4.50, so:
4.5x > 225 is the inequality for that. It just means $4.50 times the number of candles has to be more than the $225 we need. To simplify it, just divide both sided by 4.5:
x > 50
They have to sell more than 50 candles. Make sense?
For this item, I will assume that we are required to give the area of the dilated triangle. By dilated we mean to say that the dimensions of the second triangle is 6 times that of the first. We square 6 and them multiply this to the area of the original triangle to get the area of the second. That is,
area of second triangle = (2/3 cm²)(6²) = 24 cm²
Thus, the area of the new triangle is equal to 24 cm².
