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Citrus2011 [14]

2 years ago

8

At a hardware store 5 hammers and 7 packs of nails costs 62.25 and at the same store, 8 hammers and 3 packs of nails costs 82.30

How much is one hammer and one pack of nails ?

1 answer:

mr Goodwill [35]2 years ago

7 0

Orange juice math orange

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It takes three identical water pumps 8 hours to fill a pool, What is the constant of variation?

BaLLatris [955]

Answer:

Constant of variation is 24.

Step-by-step explanation:

Inverse variation states that a relationship between two variables in which the product is remain constant.

If one variable increases then, the other one decreases in proportion so that the product is unchanged,

if y is inversely proportional to x i.e $y \propto\frac{1}{x}$ or

$y =\frac{k}{x}$ ;where k is the constant of variation.

It is given that 3 identical water pumps takes 8 hours to fill a pool,

since, it will take less time with more pumps, so it is an inverse variation.

By definition of inverse variation;

$time = \frac{k}{pump}$

Substitute the values to solve for k;

$8 = \frac{k}{3}$

Multiply by 3 to both sides we get;

$8 \times 3 = \frac{k}{3} \times 3$

Simplify:

k = 24

Therefore, the constant of variation is, 24

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3 years ago

How much would it cost to pay five workers working at the U.S. federal minimum wage to do the same job in the same amount of tim

Firdavs [7]

To pay the workers for the first 40 hours, it would be $1,450. To pay the workers in the 20 hour over time pay, it would be $1,088. This is $2,538, or $507.60 each.

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3 years ago

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A squirrel in a tree drops an acorn. How long does it take the acorn to fall 24 feet?

GaryK [48]

The time taken by the acorn to fall 1.16 seconds

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3 years ago

What is the value of x?

mars1129 [50]

Answer:

x = log(1/g^6)/log(g) + (2 i π n)/log(g) for n element Z

Step-by-step explanation:

Solve for x:

g^x + 1/h^3 = 1/g^6 + 1/h^3

Subtract 1/h^3 from both sides:

g^x = 1/g^6

Take the logarithm base g of both sides:

Answer: x = log(1/g^6)/log(g) + (2 i π n)/log(g) for n element Z

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3 years ago

Geometry math question no Guessing and Please show work thank you

nasty-shy [4]

We can name an angle either by naming its vertex or by three letters , keeping the letter of vertex in between.

so here vertex is F

we can name it as ∠EFG, ∠F , ∠GFE

This strikes out the option B that is ∠G

so option B is the answer

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3 years ago