2 years ago

If 5 volunteers can wash 100 cars in 5 hours, find the constant of variation.

Mathematics

1 answer:

valina [46]2 years ago

4 0

Answer:

Step-by-step explanation:

if you want to vary how many one can do in 5 hours you just have to subtract 5 from 100. need help just come to me

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Find two positive consecutive odd integers such that square of the smaller integer is 10 more than the larger integer

Otrada [13]

Let $2n+1$ be the smaller integer. The larger integer is then $2n+3$ , and we have

$(2n+1)^2=10+(2n+3)\implies4n^2+4n+1=2n+13$

$\implies4n^2+2n-12=0$

$\implies2n^2+n-6=0$

$\implies(2n-3)(n+2)=0$

$\implies 2n-3=0\text{ or }n+2=0$

$\implies n=\dfrac32\text{ or }n=-2$

We omit $n=-2$ , since $2(-2)+1=-3$ is negative.

Then for $n=\dfrac32$ we find $2\left(\dfrac32\right)+1=4$ , but this is not odd.

There are no consecutive odd integers that satisfy the given condition!

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marshall27 [118]

Answer:

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Step-by-step explanation:

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2 years ago

The least common multiple of two numbers is 22. One number is even, and one number is odd

Lubov Fominskaja [6]

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3 years ago

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A water container has 19.5 litres of water in it. A cup holds 210 ml of water. At most 92 cups can be filled completely from the

coldgirl [10]

Step-by-step explanation:

Given

A container has 19.5 liters of water

A cup can hold 210 ml of water

1 L is equivalent to 1000 ml

So, 19.5 L is equivalent to $19.5\times 1000=19,500\ ml$

So, the number of requires to hold this much water

$\Rightarrow n=\dfrac{19,500}{210}\\\\\Rightarrow n=92.85\ \text{cups}$

92.85 implies 92 full cups and 1 cup which is partially filled. Hence, almost 92 cups can be filled completely.

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2 years ago