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4 years ago

12

The fountain in the pond at the public park near Kevin's house has a pump that recirculates 75 gallons of water in 1/4 of an hou

r. Express this rate as a unit rate in gallons per hour.

1 answer:

pantera1 [17]4 years ago

7 0

75/10 * 4/1 = 300/1 300 gallons every hour

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Find the area of the shaded region. Plz help

Stels [109]

Answer:
20 cm^2

Explanation:
Degree of area you want to find: 80
Length of radius: 9

Equation: 80/360 times 9
80/360= .2222222...
.2222222... times 9 = 20

So the answer is 20 cm^2

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4 years ago

A rectangular piece of plywood has a diagonal that measures three times the width. The length of the plywood is three feet more

Karolina [17]

Answer:

The length of diagonal is 4.922 feet.

Step-by-step explanation:

Let the width be = w

Let the diagonal be = d

Let the length be = l

Given is that the diagonal measures three times the width, this gives: $d=3w$

Also given is the length of the plywood is three feet more than the width. This is : $l=x+3$

Now, in terms of x we get:

Width = x

Length = (x+3)

Length of Diagonal = 3x

Now applying Pythagorean Theorem

$a^{2}+b^{2}=c^{2}$

$x^{2}+(x+3)^{2}=(3x)^{2}$

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Solving this we get,

$-7x^{2}+6x+9=0$

We will use quadratic formula to solve this and get the answer,

x = 3/7 +/- (12√2) / -14

x = 1.64075 or x = -0.783612(neglect this negative value)

So, x = 1.64075 feet

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So, length of diagonal is 4.922 feet.

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3 years ago

Nails come in boxes of 100

zavuch27 [327]

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3 years ago

What is 1/4 divided by 6

lidiya [134]

1/4 divided by 6 equals:

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3 years ago

Read 2 more answers

A third of a number minus 8 is 17 What is the number

katrin [286]

Answer:

<h2>The number is 75</h2>

Step-by-step explanation:

Let the number be x

A third of a number is written as

$\frac{1}{3} x$

A third of a number minus 8 is written as

$\frac{1}{3} x - 8$

The result is 17

We have

$\frac{1}{3} x - 8 = 17$

<u>Add 8 to both sides of the equation</u>

That's

$\frac{1}{3} x + 8 - 8 = 17 + 8 \\ \frac{1}{3} x = 25$

<u>Multiply through by 3 to eliminate the fraction</u>

That's

$3 \times \frac{1}{3} x = 25 \times 3 \\ x = 2 5 \times 3 \\ x = 75$

<h3>The number is 75</h3>

Hope this helps you

5 0

4 years ago