Answer: x=10
This is the answer I got.
Use c1v1+c2v2=c3v3
where c=concentration, v=volume.
C1=0.12
V1=20 L
C2=0.36
V2=X
C3=0.20
V3=20+X L
Substitute in equation
0.12(20) + 0.36X = 0.20(20+X)
Expand
2.4 + 0.36X = 4 + 0.2X
Simplify
(0.36-0.2)X = 4-2.4
0.16X = 1.6
X=1.6/0.16 = 10 L
check:
0.12(20)+0.36(10)=2.4+3.6=6.0
(20+10)*0.20 = 6.0 so solution is good.
Answer: Volume of 36% solution is 10L
Answer: 17/24
Step-by-step explanation: Notice that 1/8 and 7/12 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.
The common denominator of 8 and 12 will be the least common multiple of 8 and 12 which is 24. To get a 24 in the denominator of 1/8, we multiply the numerator and the denominator by 3 which gives us 3/24. To get a 24 in the denominator of 7/12, we multiply the numerator and the denominator by 2 which gives us 14/24. Now we're adding like fractions.
3/24 + 14/24
To add like fractions or fractions that have the same denominator, simply add the numerators and keep the original denominator.
So here, if we add the numerators we have 3 + 14 which gives us 17. We put this over our original denominator which is 24. So we have 17/24.
So 1/8 + 7/12 is 17/24.
The deviation of the set of data is 678
Total ratio = 2 + 1 = 3
Number of men = 2/ 3 × 24
=16
Therefore, 16 men are using the gym
