to simplify the fraction you must first find the number that goes into both numbers, in which is 7;
So divide both the numerator and the denominator by 7;
35 ÷ 7 = 5
21 ÷ 7 = 3
So your final answer would be;
35/21 = 5/3 = 1 2/3 (in simplest form)
Answer:
a68 = -85.2
Step-by-step explanation:
The formula for an arithmetic sequence is
an = a1+d(n-1)
a1 =8.6 (it is the first term)
We can find the common difference by taking the second term and subtracting the first term
7.2-8.6 =-1.4
d=-1.4
n = the term number we are looking for
an = 8.6 -1.4(n-1)
We are looking for the 68th term so n=68
a68 = 8.6 -1.4(68-1)
= 8.6 -.1.4(67)
= 8.6-93.8
=-85.2
30+20+50 = 100 ml total. 20 ml is orange juice.
So, 30/100 reduce by dividing top and bottom by 30 gives
3/10 is the proportion of orange juice in the fruit cocktail.
Hope this helps! :)
34.4%
to turn a decimal into a percent you move the decimal two places to the right
if you needed to turn a percent into a decimal, you'd move the decimal two places to the left
Answer:
![x=61](https://tex.z-dn.net/?f=x%3D61)
Step-by-step explanation:
![-3+\sqrt{2x-1} =8](https://tex.z-dn.net/?f=-3%2B%5Csqrt%7B2x-1%7D%20%3D8)
![\sqrt{2x-1} -3=8](https://tex.z-dn.net/?f=%5Csqrt%7B2x-1%7D%20-3%3D8)
<u><em>Add 3 to both sides of the equation:</em></u>
![\sqrt{2x-1}-3+3=8+3](https://tex.z-dn.net/?f=%5Csqrt%7B2x-1%7D-3%2B3%3D8%2B3)
![\sqrt{2x-1}=11](https://tex.z-dn.net/?f=%5Csqrt%7B2x-1%7D%3D11)
<u><em>Solve the square root:</em></u>
![\sqrt{2x-1}=11](https://tex.z-dn.net/?f=%5Csqrt%7B2x-1%7D%3D11)
![2x-1=11^{2}](https://tex.z-dn.net/?f=2x-1%3D11%5E%7B2%7D)
![2x-1=121](https://tex.z-dn.net/?f=2x-1%3D121)
<em> {add 1 to both sides}</em>
![2x=122](https://tex.z-dn.net/?f=2x%3D122)
![x=122/2](https://tex.z-dn.net/?f=x%3D122%2F2)
![x=61](https://tex.z-dn.net/?f=x%3D61)
<u><em>hope this helps.......</em></u>