Answer:
-159
Step-by-step explanation:
ANSWER : both angles are 60 degrees and x is equal to 8.
10x - 20 = 7x + 4
Move the terms
3x = 24
x= 8
Sub back in to find the value:
80 - 20 = 60
56 + 4 = 60
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Answer:
d. 3/2r+2c ≤ 10
Step-by-step explanation:
The amount of flour Molly needs for r batches of oatmeal raisin cookies is ...
3/2r
The amount of flour Molly needs for c batches of chocolate chip cookies is ...
2c
The total amount of flour Molly can use for cookies cannot exceed the amount available, so ...
3/2r + 2c ≤ 10
_____
<em>Comment on the question</em>
The wording is a bit odd. It asks for the amount of flour available—after it tells you the amount available is 10 cups. (I might write that as <em>f ≤ 10</em>.) The answer choices clearly suggest that what is wanted is a representation of the possible mix of batches of cookies for which Molly could use the available flour. IMO, this is another instance of poor editing of math problem wording.
Answer:

Step-by-step explanation:
Given
--- big circle
--- area of small circle
Required
Probability that a point selected lands on the small circle
Calculate the area of the big circle using;

Where

So, we have:

This gives:



The probability that a point selected lands on the small circle is calculated by dividing the area of the small cicle by the big circle
This gives:


Simplify

78.5 inches, the area equation for a circle is pi times radius squared so to find it you would take 3.14*5^2 (radius is half the diameter) so it would be 3.14*25 which equals 78.5