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const2013 [10]
3 years ago
10

Phil is boiling water on the stove. The pot he is using contains 4 gallons of water. If the water is evaporating at a rate of 1

cup per minute, how long will it be before all the water is gone? (Hint: 1 gallon = 16 cups)
Mathematics
1 answer:
Kryger [21]3 years ago
6 0
If 1 gallon = 16 cups, then 4 gallons = 64 cups. (16 x 4)
So if there are 4 gallons of water, then there are 64 cups. If 1 cup of water evaporates a minute then it will take 64 minutes for all the water to be gone. 

Answer: 64 minutes
OR
Answer: An hour and 4 minutes
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The sum of 2 fractions is 5/6. Their difference is 1/2. Their least common denominator is 6. The denominator of one is twice the
valentinak56 [21]

Answer:

Step-by-step explanation:

Alright, lets get started.

Suppose the first fraction is : \frac{a}{b}

Suppose the second fraction is : \frac{c}{d}

The sum of both fraction is given as : \frac{5}{6}

\frac{a}{b}+\frac{c}{d}=\frac{5}{6}    .......................equation (1)

The difference of both fraction is given as : \frac{1}{2}

\frac{a}{b}-\frac{c}{d}=\frac{1}{2}   .........................equation (2)

Adding equation (1) and equation (2)

\frac{c}{d} \ will  \ be \ cancelled

\frac{2a}{b}=\frac{5}{6}+\frac{1}{2}

making common denominator

\frac{2a}{b}=\frac{5}{6}+ \frac{3}{6}

\frac{2a}{b}=\frac{8}{6}

Hence,

\frac{a}{b}=\frac{2}{3}

Plugging the value of \frac{a}{b} in equation (1)

\frac{2}{3}+\frac{c}{d}=\frac{5}{6}

Subtracting \frac{2}{3} in both sides

\frac{c}{d}=\frac{5}{6}-\frac{2}{3}

\frac{c}{d}=\frac{1}{6}

Hence both fractions are \frac{2}{3} \ and \  \frac{1}{6}     ...................Answer

Hope it will help :)

7 0
3 years ago
Write a fraction less than 1 with a denominator of 6 that is greater than 3/4
Marizza181 [45]
\frac{5}{6} is a fraction with the denominator 6. It is less than one (5/6 = 0.83 [rounded]. 0.83 is less than 1) but greater than \frac{3}{4} (3/4 = 0.75. 0.75 is less than 0.83)

Note: To turn a fraction into a decimal you simply divide the numerator by denominator. (\frac{numerator}{denominator} → numerator/denominator → (decimal)
8 0
3 years ago
What’s the Multiplicative inverse
mylen [45]
The multiplicative inverse of -1/3 is -3.

The product of a number and it’s multiplicative inverse equals 1.

So... -1/3 x -3/1 = 1

A negative times a negative equals a positive.


I hope this helped!
6 0
3 years ago
Solve for x.<br> \12x + 3<br> 13x + 2<br> x = [?]
Vsevolod [243]

Answer:

x=7

Step-by-step explanation:

25x+5=180

      -5    -5

25x=175

/25    /25

3 0
2 years ago
Read 2 more answers
Flagpole to the ground using a piece of rope that is 10 feet long. He is going to tie the rope to the top of the flagpole and th
Flauer [41]

Answer:

<h3>6 feet</h3>

Step-by-step explanation

Using the pythagoras theorem;

Given

The length of the flag pole = 8 feet = opposite side

Length of the rope = 10 feet = hypotenuse

To determine how far out on the ground he need to secure the rope from the flagpole so that the rope is tight, we need to look for the adjacent. Using the equation

hyp² = opp² + adj²

10² = 8² + adj²

adj² = 100-64

adj² = 36

adj = √36

adj = 6feet

Hence the rope should be placed 6feet out of the ground

4 0
2 years ago
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