Of 18 oranges, if 12 are bad that means 6 are good. Ratio of good to bad is 6:12 reduced to 1:2, the answer
Answer: 2/25
Step-by-step explanation:
8% means 8/100
To reduce to the simplest fraction, divide through with a common factor of 4
Divide numerator by 4 = 2
Divide denominator by 4 = 25
Therefore, 8% = 2/25
I hope this helps.
The number next to a variable, for example: 5x, is called a coefficient. And all you do is multiply the number with the variable
I am not sure, but this is what I got:
<span>Pipe ALONE = 18 hours
Pipe ALONE in 1 hour = 1/18 of the pool
Hose ALONE in 1 hour = 1/25 of the pool
TOGETHER in 1 HOUR = 1/18 +1/25 = 43/450
TOGETHER they will fill the pool in 450/43 hours
So 5/6 of the pool will take 5/6 X 450/43 = 2250/ 258 = 8.7209302 hours OR
8 hours AND 43.26 minutes ANSWER
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Hope this helps!
First term ,a=4 , common difference =4-7=-3, n =50
sum of first 50terms= (50/2)[2×4+(50-1)(-3)]
=25×[8+49]×-3
=25×57×-3
=25× -171
= -42925
derivation of the formula for the sum of n terms
Progression, S
S=a1+a2+a3+a4+...+an
S=a1+(a1+d)+(a1+2d)+(a1+3d)+...+[a1+(n−1)d] → Equation (1)
S=an+an−1+an−2+an−3+...+a1
S=an+(an−d)+(an−2d)+(an−3d)+...+[an−(n−1)d] → Equation (2)
Add Equations (1) and (2)
2S=(a1+an)+(a1+an)+(a1+an)+(a1+an)+...+(a1+an)
2S=n(a1+an)
S=n/2(a1+an)
Substitute an = a1 + (n - 1)d to the above equation, we have
S=n/2{a1+[a1+(n−1)d]}
S=n/2[2a1+(n−1)d]
