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3 years ago

2.5 gallons of water are poured into 5 equally sized bottles. How much water is in each bottle? Show an equation to solve

Mathematics

2 answers:

BaLLatris [955]3 years ago

6 0

3.7 liters is how much water in in each bottle

Margarita [4]3 years ago

5 0

it is .5

Step-by-step explanation:

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The quantity of 6 less than a number multiplied by 8

Bas_tet [7]

6x-6=8x

subtract 6x from both sides

-6=2x

divide both sides by 2

x= -3

5 0

3 years ago

A clothing manufacturer uses the model a=f+4−−−−√−36−f−−−−−√ to estimate the amount of fabric to order from a mill. In the formu

Anit [1.1K]

Questions:

A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?

Answer:

32 units of fabrics

Step-by-step explanation:

Given

$a = \sqrt{f + 4} - \sqrt{36 - f}$

Required

Find f when a = 4

Substitute 4 for a

$4 = \sqrt{f + 4} - \sqrt{36 - f}$

Rewrite as:

$\sqrt{36 - f} + 4 = \sqrt{f + 4}$

Square both sides

$(\sqrt{36 - f} + 4)^2 = (\sqrt{f + 4})^2$

$(\sqrt{36 - f} + 4)^2 = f + 4$

$36 - f + 8\sqrt{36 - f} + 16 = f + 4$

Collect Like Terms

$8\sqrt{36 - f}= f +f+ 4 - 36 -16$

$8\sqrt{36 - f}= 2f -48$

Divide through by 2

$4\sqrt{36 - f}= f -24$

Square both sides

$16(36-f) = (f - 24)^2$

$16(36-f) = f^2 - 48f + 576$

$576-16f = f^2 - 48f + 576$

$-16f = f^2 - 48f$

Collect like terms

$f^2 - 48f + 16f = 0$

$f^2 -32f = 0$

Factorize

$f(f - 32) = 0$

$f = 0$ or $f = 32$

f can not be 0 because some units must be ordered.

So, f = 32

6 0

3 years ago

Sarah opened a savings account with a $725 deposit. This account earns 3.5% annual interest compounded twice each month. How lon

Karolina [17]

Jody invested less in an account paying simple interest than she did in an account paying simple interest. At the end of the first year, the total interest from both accounts was Find the amount invested in each account.

7 0

2 years ago

Find the Length of a rectangle given that the perimeter is 192 feet and the length is 3 times the width

gizmo_the_mogwai [7]

The width is 48 and the length is 144. I think

7 0

3 years ago

Anna hiked 95⁄8 miles in 23⁄4 hours. How fast did she walk overall? A. 31⁄4 miles per hour B. 35⁄8 miles per hour C. 31⁄2 miles

Pani-rosa [81]

Answer:

C. 3 1/2 miles per hour

Step-by-step explanation:

I just converted the fractions to decimal form.

5/8 = 0.625 9 + 0.625 = 9.625

3/4 = 0.75 2 + 0.75 = 2.75

Now divide the 2 numbers:

9.625 / 2.75 = 3.5

Finally, convert the decimal back to a fraction:

3.5 = 3 1/2

Hope this helps!

6 0

3 years ago

Read 2 more answers