Answer:
4 1/3
Step-by-step explanation:
10 - 5 2/3
30/3 - 17/3 = 13/3 = 4 1/3
5/6 + 1/3
To add both sides need the same denominator. To give he fractions a common denominator, multiply the second fraction (1/3) by 2.
5/6 + 2/6
Add the numerators
7/6
Change into mixed number
1 and 1/6
I hope this helps, feel free to ask any questions you may have
Answer:
6.2% of $2768 = $171.62
Step-by-step explanation:
To find 6.2% of 2768.
Solution:
In order to find the percent of some number, we will convert the percent into fraction form and then multiply that with that number. Thus, we get that percent of the number.
6.2% can be written in fraction form as:

6.2% of $2768 can be evaluated as :
⇒ 
Multiplying the numerators.
⇒ 
⇒ 
⇒
(Answer)
Answer: The missing length is 120 {option C}
Step-by-step explanation: What we have in the question is a triangle placed on top of another triangle and as shown in the attached diagram we can separate them into triangles BFC and GFH.
A close observation shows that line BC is parallel to line GH. Hence we have two similar triangles, and we can determine their similarity ratios as follows;
BF/FC = GF/FH
Similarly BF/BC = GF/GH
We can also express the following ratio
FC/FH = BC/GH
Therefore to calculate the missing side, which is GF, we can use the ratio
FC/FH = FB/FG
30/100 = 36/FG
By cross multiplication we now have 30 (FG) = 100 (36)
30FG = 3600
Divide both sides of the equation by 30
FG = 120
Answer:
29
Step-by-step explanation:
conjugate of a+ib=a-ib
conjugate of 2-5i=2+5i
(2+5i)(2-5i)=2²-(5i)²=4-25i²=4-25(-1)=4+25=29