How many Integers have 36 as an answer?
2 answers:
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Answer:
x = 1
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 12 when x = - 2, then
k = =
= - 6, thus
y = - 6x ← equation of variation
When y = - 6, then
- 6 = - 6x ( divide both sides by - 6 )
x = 1
First off... let's use the decimal format for the percentages, so 85% is 85/100 or 0.85 and 45% is 45/100 or 0.45 and so on
let's say the quantities of each are "a" and "b" respectively
how much salt concentration in A? well, 0.45, so for a quantity "a", that'd be 0.45a
how much satl concentration in B? well 0.85, so for a quantity "b", that'd be 0.85b
now, she wants a mixture of 160ounces with 70% concentration, or 0.7
so the mixture will have a concentration amount of salt of 160 * 0.7
solve for "a", to see how much of the 45% solution will be needed.
what about "b"? well, b = 160 - a
let's say the quantities of each are "a" and "b" respectively
how much salt concentration in A? well, 0.45, so for a quantity "a", that'd be 0.45a
how much satl concentration in B? well 0.85, so for a quantity "b", that'd be 0.85b
now, she wants a mixture of 160ounces with 70% concentration, or 0.7
so the mixture will have a concentration amount of salt of 160 * 0.7
solve for "a", to see how much of the 45% solution will be needed.
what about "b"? well, b = 160 - a