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4 years ago

The quantity, y, varies directly as x. When y=10 x=6

Mathematics

1 answer:

neonofarm [45]4 years ago

8 0

Answer:

y = $\frac{5}{3}$ x

Step-by-step explanation:

given y varies directly as x, the the equation relating them is

y = kx ← k is the constant of variation

to find k use the given condition y = 10 when x = 6, hence

k = $\frac{y}{x}$ = $\frac{10}{6}$ = $\frac{5}{3}$

y = $\frac{5}{3}$ x ← is the equation

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3 years ago

The inventory of a store 2 years ago was worth $45,000. This year it is

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3 years ago

Christopher earned $78 at his job when he worked for 2 hours.

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1 dollar every 1/39 hour

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4 years ago

Read 2 more answers

How many different three-digit numbers can be written using digits from the set 5, 6, 7, 8, 9 without any repeating digits?

suter [353]

Answer: 60 different numbers can be formed

Step-by-step explanation:

Note that we have 5 different digits, and we must select 3 of them. They should not be repeated

The order of selection is important in this case, because the number 532 is not the same as the number 235.

So we have a permutations problem, where we have a set of n elements and we want to choose r from them.

Then we define the permutacion as:

$nPr=\frac{n!}{(n-r)!}$

In this case note that n=5 because there are 5 elements in the set.

r = 3 because we combine the elements to form three-digit numbers

Then:

$5P2=\frac{5!}{(5-3)!}$

$5P2=\frac{5!}{2!}$

$5P2=\frac{5*4*3*2!}{2!}$

$5P2=5*4*3$

$5P2=60$

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3 years ago