Answer:
x=8
Step-by-step explanation:
Make all the denominators the same
3(x-4/10)=6(3/5)-2(x-5/15)
(3x-12)/30=18/30-(2x-10)/30
Cancel out all the denominators because they're the same
3x-12=18-2x+10
3x-12=28-2x
Add 12 to both sides
3x=40-2x
Add 2x to both sides
5x=40
Divide both sides by 5
x=8
The answer is translation
Answer:
center: (-5,6)
Radius: 7
Step-by-step explanation:
Answer:
(A) 7.5 %
(B) 3.75 %
(C) 2.5%
(D) 0.625 %
Step-by-step explanation:
We have given effective rate of interest r = 7.5%
(a) Annual rate of interest will be equal to 7.5 %
(B) As we know that 1 year = 12 months
And interest is compounded semiannually
1 semiannual = 6 months
So semiannual rate of interest will be equal to 
%
(c) 1 quarter = 4 month
So number of period in an year = 3
So rate of interest quarterly 
%
(D) Amount when amount is compounded monthly '
So number of period in an year = 12
So rate of interest 
%
Step-by-step explanation:
I assume you meant :
the restaurant has 20 1/2 pounds of bananas.
one smoothie uses 1/8 pound of bananas.
how many smoothies can be made with the amount of available bananas ?
the answer is as many as the times 1/8 fit into 20 1/2.
so, we actually calculate
(20 1/2) / (1/8)
first we will convert the mixed number into a true fraction :
20 1/2 = 40/2 + 1/2 = 41/2
so we have
41/2 / 1/8
and then, when dividing fractions we have 2 choices (they do both the same, of course, but start looking differently) :
a/b / c/d = a×d / b×c
a/b / c/d = a/b × d/c = a×d / b×c
so,
41/2 / 1/8 = 41×8 / 2×1 = 41×4 = 164
they can make 164 smoothies.
