Before we can make sure that E is correct, we need to make the denominator is equal with questions and the choices or convert into decimal.
2/3 = 0.66
1/3=0.33
1/5=0.2
2/6=1/3 = 0.33
1/2 = 0.5
7/10 = 0.7
7/9 = 0.77
The question is :
2/3 < x < 7/9
0.66 < x < 0.77
We need to divide into 2 parts :
0.66 < x
x < 0.77
So we need to find the answer that x is greater that 0.66 and we got 7/10. And 7/10 is less than 7/9.
Hope this helps. Please ask if you don't understand.
Answer:
Step-by-step explanation:
Let s represent the son's age now. Then s+32 is the father's age. In 4 years, we have ...
5(s+4) = (s+32)+4
5s +20 = s +36 . . . . . eliminate parentheses
4s = 16 . . . . . . . . . . . . subtract s+20
s = 4
The son is now 4 years old; the father, 36.
_____
<em>Alternate solution</em>
In 4 years, the ratio of ages is ...
father : son = 5 : 1
The difference of their ages at that time is 5-1 = 4 "ratio units". Since the difference in ages is 32 years, each ratio unit must stand for 32/4 = 8 years. That is, the future age ratio is ...
father : son = 40 : 8
So, now (4 years earlier), the ages must be ...
father: 36; son: 4.
Let's break it down:
We need an LCM, a least common multiple, so it's easier to subtract
3 1/4x + 7 1/14
-
1/8x - 2 5/7
3 1/4 is equivalent to 3 2/8
2 5/7 is equivalent to 2 10/14
3 2/8x + 7 1/14 or you can break it down to two parts also
- 3 2/8x - 1/8x = 2 1/8x
1/8x - 2 10/14 7 1/14 - (-2 10/14) = 9 11/14
------------------ - - = +
2 1/8x + 9 11/14
63
5 tens equals 50
13 ones equals 13
50 +13 = 63