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Answer:</h2>
The ratio is a fraction that tells us how many times longer a thing is compared to another thing. In mathematics, we express a ratio as the relationship between two numbers, namely 
, so the ratio can be written as:
If we can change this number without changing the ration we need to multiply both the numerator and the denominator by the same number. For instance, if we have the following ratio:
We can multiply both the numerator and denominator, say, by 7. Then:
As you can see, the ratio's number has changed but without changing the ratio itself because:
Answer:
Step-by-step explanation:
Let's set up a proportion using the following setup:
We know that the florist can arrange 4 in 92 minutes.
We don't know how many the florist can arrange in 207 minutes, so we say x arrangements can be completed in 207 minutes.
Solve for x by isolating it on one side of the proportion.
x is being divided by 207. The inverse of division is multiplication. Multiply both sides of the proportion by 207.
The florist can arrange <u>9 arrangements</u> in 207 minutes.
Answer:
2np + p²
Step-by-step explanation:
The general formula for the area of a square is A = s², where s = the length of one side of the square. In the case of the smaller square the area would be: n x n = n². Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'. To find the area of the larger square, we have to take the length x length or (n +p)².
Using FOIL (forward, outside, inside, last):
(n + p)(n+p) = n² + 2np + p²
Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.
n² + 2np + p² - n² = 2np + p²
Answer:
-2 ≤ f(x) ≤ 4
Step-by-step explanation:
The range is the set or group of all the y-coordinates of the function. This means it has all the values from the bottom point at -2 to the top point at 4. It is written as an inequality.
-2 ≤ f(x) ≤ 4
Answer:
(-3,5)
Step-by-step explanation:
If you start at the origin (0), going up 5 spaces will leave you at 5 for your y plot. Then, 3 spaces <em>left</em> leaves you at -3 for your x. However, when writing down plots, you write x before y. So, you are left with (-3,5) as your coordinate plot for the final answer.
