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hammer [34]
4 years ago
13

A fountain holds 12,500 gallons of water. Joe wants to find how many liters that is. Which proportion could he use to solve for

the number of liters?
(
1

L
=
0
.
26

gal
)
A.
1

L
0
.
26

gal
=
12
,
500

gal
x

L
B.
0
.
26

gal
1

L
=
1

gal
12
,
500

L
C.
3
.
79

L
1

gal
=
12
,
500

gal
x

L
D.
1

gal
3
.
79

L
=
12
,
500

gal
x

L
Mathematics
1 answer:
DedPeter [7]4 years ago
4 0

Answer:

The proportion <u>1 L : 0.26 gal = x L : 12500 gal</u>.

Step-by-step explanation:

Given:

A fountain holds 12,500 gallons of water.

1 L = 0.26 gal

Now, to get the proportion to solve for the number of litres.

1\ L : 0.26\ gal = x\ L:12500\ gal

\frac{1\ L}{0.26\ gal} =\frac{x\ L}{12500\ gal}

<em>On solving :</em>

x=12500(\frac{1}{0.26})\ L

Therefore, the proportion <u>1 L : 0.26 gal = x L : 12500 gal</u>.

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An elliptical culvert is 3.5 feet tall and 6 feet wide. It is filled with water to a depth of 0.95 feet. Find the width of the s
maks197457 [2]

Answer:

W_s \approx5.3

Step-by-step explanation:

From the question we are told that

Height H=3.5ft

Weight W= 6ft

Depth  D=0.95ft

Generally the equation for ellipses is given as

\frac{x^2}{a^2} +\frac{y^2}{b^2} =1

Where

b=H/2\\b=3.5/2\\Therefore\\b=1.75\\a=W/2\\a=6/2\\Therefore\\a=3\\

\frac{x^2}{3^2} +\frac{y^2}{1.75^2} =1

Generally to find y in the equation \frac{x^2}{a^2} +\frac{y^2}{b^2} =1

y=-b+d

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y=-0.8

Therefore

\frac{x^2}{3^2} +\frac{(0.8)^2}{1.75^2} =1

\frac{x^2}{3^2} =1-\frac{(0.8)^2}{1.75^2}

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X^2 =7.119183674

X =\sqrt{7.119183674}

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Therefore the width of the given stream is

W_s=2.66817984*2

W_s=5.33635968

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3 0
3 years ago
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Butoxors [25]

The roots of the quadratic equation 3y² + 3(4y² - 2) is ± √(1/7).

<h3>What is a quadratic equaton?</h3>

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, 3y² + 3(4y² - 2).

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14y² - 2.

Let 14y² - 2 = 0.

14y² = 2.

y² = (2/14).

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learn more about quadratic equations here :

brainly.com/question/17177510

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