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Divide 40 liters into the ratio 1:3.
40 - 10 = 30
10 + 30 = 40
10:30
40 liters divided into the ratio 1:3 is 10:30. <span />
Answer:
p = 6, q = - 1
Step-by-step explanation:
Using the rules of exponents
×
=
,
= 
Given
xy = 32 , tat is
×
= 
Since the bases on both sides are equal, equate the exponents
p + q = 5 → (1)
Also
2xy² = 32 ( divide both sides by 2 )
xy² = 16 , that is
×
= 16
×
=
, then p + 2q = 4 → (2)
Thus
p + q = 5 → (1)
p + 2q = 4 → (2)
Subtract (1) from (2) term by term
q = - 1
Substitute q = - 1 into (1) for corresponding value of p
p - 1 = 5 ( add 1 to both sides )
p = 6
Answer: 33/35
Step-by-step explanation:
To add these numbers they need to have the same denominators. The LCM of 5 and 7 is 35. So rewrite the fraction and let them both have a denominator of 35.
28/35 + 5/35 = 33/35