If the figures/solids are similar, the ratio of the areas is equal to the square of the ratio of the corresponding sides. Let x be the area of the second figure. The equation that would best allow us to answer this item is,
(394.2 in² / x in²) = (10.9 / 21.8)²
The value of x from the equation is 1576.8 in².
Thus, the nearest answer is the second choice.
The partial variation is A
Answer: $100.70
Step-by-step explanation: 6% is equal to 0.06, so you can add multiply the price of the item by 1.06 because that is the base cost plus the tax. Then you get $100.70.
Answer:
C) 12/20
Step-by-step explanation:
Between 1 and 20, 10 numbers are even, 4 numbers are perfect squares (1, 4, 9, and 16), and 2 numbers are both even and perfect squares (4 and 16).
So the probability is:
(10 + 4 − 2) / 20 = 12/20.
Answer:
Charlie has used his phone in a month for at least 1404 minutes
Step-by-step explanation:
In order to solve this problem, we must first determine what will our variable be and what it will represent.
Let's say our variable is x and it will represent the number of minutes Charlie has used his phone.
After we set our variable up, we can set our equation up. The problem states that Charlie will pay a monthly fee of $18 and additional $0.06 per minute of use. The $18 is what is called a fixed cost and the $0.06 is the variable cost, which will depend on our variable x (the number of minutes spent). Taking this into account we can build an inequality that will represent the amount of money spent in a month, which will look like this:

so now we can solve that inequality for x, we can start by subtracting 18 from both sides, so we get.

Next, we can divide both sides of the inequality by 0.06 so we get:

so that's where the answer came from. Charly has used an amount of at least 1404 minutes