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3 years ago

P varies inversely with x. If P = 7 when x = 8, find the value of P when x = 7.

Mathematics

1 answer:

inna [77]3 years ago

3 0

Answer:

P = 8

Step-by-step explanation:

Given that P varies inversely with x then the equation relating them is

P = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition P = 7 when x = 8 , then

7 = $\frac{k}{8}$ ( multiply both sides by 8 )

56 = k

P = $\frac{56}{x}$ ← equation of variation

When x = 7 , then

P = $\frac{56}{7}$ = 8

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3 years ago

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3 years ago

Read 2 more answers

The ratio of dogs to cats at an animal shelter is 33 to 22. How many dogs are at the shelter if there is a total of 3030 animals

Elena-2011 [213]

D : c = 33 : 22
where d is the number of dogs and c is the number of cats;
and: d + c = 3030
33 c = 22 d / : 11
3 c = 2 d
From the other equation: c = 3030 - d
3 * ( 3030 - d ) = 2 d
9090 - 3 d = 2 d
5 d = 9090
d = 9090 : 5
d = 1818
Answer: There are 1818 dogs in the shelter.

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3 years ago