Answer:
![\frac{7}{10} |](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B10%7D%20%7C)
Step-by-step explanation:
STEP 1:
2/3 + 7/10 = ?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/3, 7/10) = 30
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
*
+
= ?
Complete the multiplication and the equation becomes
![\frac{20}{30} + \frac{21}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B30%7D%20%2B%20%5Cfrac%7B21%7D%7B30%7D)
The two fractions now have like denominators so you can add the numerators.
Then:
![\frac{20+21}{30} = \frac{41}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B20%2B21%7D%7B30%7D%20%3D%20%5Cfrac%7B41%7D%7B30%7D)
This fraction cannot be reduced.
The fraction 41/30
is the same as
41 divided by 30
Convert to a mixed number using
long division for 41 ÷ 30 = 1R11, so
41/30 = 1 11/30
Therefore:
2/3+7/10= 1 11/30
STEP 2:
41/30 + -2/3
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(41/30, -2/3) = 30
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
![(\frac{41}{30} *\frac{1}{1} ) + ( \frac{-2}{3} * \frac{10}{10} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B41%7D%7B30%7D%20%2A%5Cfrac%7B1%7D%7B1%7D%20%29%20%2B%20%28%20%5Cfrac%7B-2%7D%7B3%7D%20%2A%20%5Cfrac%7B10%7D%7B10%7D%20%29)
The two fractions now have like denominators so you can add the numerators.
Then:
![\frac{41+-20}{30} = \frac{21}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B41%2B-20%7D%7B30%7D%20%3D%20%5Cfrac%7B21%7D%7B30%7D)
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 30 using
GCF(21,30) = 3
![\frac{21/3}{30/3} =\frac{7}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B21%2F3%7D%7B30%2F3%7D%20%3D%5Cfrac%7B7%7D%7B10%7D)
Therefore:
|
The answer is A.
This is saying 5E-9/2E4, so it equals 2.5E-13.
My final answer is (C) because for the side lenghts to be a right triangle, the values of the first and second terms should be equal to the third (a^2 and b^2 =c^2) hope that helped (:
Answer:
6 Hours
Explanation:
Linear Equation: mx+b=y
x variable: Hour
Hourly Fee: $15(x)
(Initial) Rent Fee: $25
Balance: $100
Equation:
15x+25=100
15x+25-25=100-25 -- <em>Separate the constant terms from the x by subtracting 25 from both sides.</em>
15x=100
15x/15=100/15 --<em> Isolate the x variable by dividing 15 from both sides.</em>
x=6.6.. <em>-- Round down to 6 (not 7) because you can't afford to snowboard for 7 hours with less than $15. </em>
x=6 Hours