<span>3/4f + 5 = -5
Subtract 5 from both sides
3/4f= -10
Divide both sides by 3/4 so that the only thing remaining on the left side is the variable f.
Final Answer: f= 40/3 or 13 1/3 *Both answers are equivalent to each other.</span>
Answer:
-5 < x < 5
Step-by-step explanation:
|x| < 5
This can be split into two cases: x < 5 and -x < 5 because |x| could be either x or -x depending on whether x is positive, negative, or 0. Solving the second one we get x > -5 so the answer is -5 < x < 5.
Answer:
15, 60, and 61
Step-by-step explanation:
First we have to find the 3rd side length from 2 side length chosen. So let’s pick 8 meters and 11 meters, to find the third side length we use the Pythagorean theorem: c^2 = a^2 + b^2
c = 11^2 + 8^2 = 121 + 64 = 185 = 13.6
13.6 isn’t one of the answers so we can’t pick 11 & 8. Let’s try 11 & 15:
c = 15^2 + 11^2 = 225 + 121 = 346 = 18.6
18.6 isn’t one of the answers either. Let’s try 15 & 60:
c = 60^2 + 15^2 = 3600 + 225 = 3825 = 61.85
61.85 might be it but let’s try one more just in case:
c = 60^2 + 61^2 = 3600 + 3721 = 7321 = 85.6
Nope! That means 15, 60, and 61 are the answer. I hope this is correct!
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Solution:
Given:
Using the simple interest formula,
Therefore, the simple interest is $960.
