6hours(25papers/hour)=150 papers
Answer:
They give you the answer just keep going until you get the same answer or use the inverse of what they did
Step-by-step explanation:
125 = 5^3 = 25 * 5
![4 \cdot \sqrt{125} = 4 \sqrt{25 \cdot 5} = 4 \cdot 5 \sqrt{5} = 20\sqrt{5}](https://tex.z-dn.net/?f=%204%20%5Ccdot%20%5Csqrt%7B125%7D%20%3D%204%20%5Csqrt%7B25%20%5Ccdot%205%7D%20%3D%204%20%5Ccdot%205%20%5Csqrt%7B5%7D%20%3D%2020%5Csqrt%7B5%7D%20)
The simplification you are trying to do involves finding the prime factorization of a number. Since 125 is not divisible by 2, move on to 3. 125 is also not divisible by 3, so move on to 5. Then 125/5 = 25, and 25/5 = 5, so 125 = 5^3. The prime factorization of 125 is 5^3.
Answer:
5/6
Step-by-step explanation:
<em>Dividing fractions:</em>
<em>Step 1: Rewrite the first fraction as it is.</em>
<em>Step 2: Replace the division sign with a multiplication sign.</em>
<em>Step 3: Flip the second fraction.</em>
<em>Step 4: Multiply the fractions and reduce the product if necessary.</em>
Let's use the rule of dividing fractions on your problem.
Step 1: Rewrite the first fraction as it is.
![\dfrac{5}{8}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B5%7D%7B8%7D%20)
Step 2: Replace the division sign with a multiplication sign.
![\dfrac{5}{8} \times](https://tex.z-dn.net/?f=%20%5Cdfrac%7B5%7D%7B8%7D%20%5Ctimes%20)
Step 3: Flip the second fraction.
![\dfrac{5}{8} \times \dfrac{4}{3}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B5%7D%7B8%7D%20%5Ctimes%20%5Cdfrac%7B4%7D%7B3%7D%20)
Step 4: Multiply the fractions and reduce the product if necessary.
To multiply fractions, multiply the numerators together, and multiply the denominators together.
![\dfrac{5}{8} \times \dfrac{4}{3} = \dfrac{5 \times 4}{8 \times 3} = \dfrac{20}{24}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B5%7D%7B8%7D%20%5Ctimes%20%5Cdfrac%7B4%7D%7B3%7D%20%3D%20%5Cdfrac%7B5%20%5Ctimes%204%7D%7B8%20%5Ctimes%203%7D%20%3D%20%5Cdfrac%7B20%7D%7B24%7D%20)
We notice that the greatest common factor of 20 and 24 is 4, so we divide both the numerator and denominator by 4 to reduce the fraction.
![= \dfrac{4 \times 5}{4 \times 6} = \dfrac{5}{6}](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B4%20%5Ctimes%205%7D%7B4%20%5Ctimes%206%7D%20%3D%20%5Cdfrac%7B5%7D%7B6%7D%20)
Step-by-step explanation:
x²-y²=12
(x-y)(x+y)=12
but x-y=4
4(x+y)=12
x+y=12/4
x+y=3
lets make x the subject of the formula
x=3-y
since x-y=4
(3-y)-y=4
3-y-y=4
-2y=1
y=-1/2
then x=3-y
x=3-(-1/2)
x=(6--1)/2
x=7/2
therefore; x²+2xy+y
=(7/2)²+2×7/2×-1/2+(-1/2)
=49/4-7/2-1/2
=(49-14-2)/4
=33/4
=8.25
=8