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babunello [35]
3 years ago
14

124 7/8 gallons of water drained from a pool in 25 minutes how much water drained from pool each minute

Mathematics
1 answer:
boyakko [2]3 years ago
4 0

first off, let's convert the mixed fraction to "improper", and then check,

\bf \stackrel{mixed}{124\frac{7}{8}}\implies \cfrac{124\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{999}{8}}\\\\ -------------------------------\\\\ \begin{array}{ccll} \stackrel{water}{gallons}&minutes\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \frac{999}{8}&25\\\\ x&1 \end{array}\implies \cfrac{\quad \frac{999}{8}\quad }{x}=\cfrac{25}{1}\implies \cfrac{\quad \frac{999}{8}\quad }{\frac{x}{1}}=25

\bf \cfrac{999}{8}\cdot \cfrac{1}{x}=25\implies \cfrac{999}{8x}=25\implies 999=200x \\\\\\ \cfrac{999}{200}=x\implies \stackrel{gallons}{4\frac{199}{200}}=x

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3 years ago
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Factor completely 3bx^2 - 9x^3 - b + 3x​
Anna11 [10]

Factor out the common terms in the first two terms, then in the last two terms;

3x^2(b - 3x) - (b - 3x)

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5 0
3 years ago
Find the value of x to the nearest tenth.
vladimir1956 [14]

Answer:

The answer to your question is  x = 14.7  

Step-by-step explanation:

Data

∠A = 20°

∠B = 46

a = 7

b = x

Process

To solve this problem use, the law of sines. This law states that the ratio of a side of a triangle to the sine of the opposite angle is the same for all three sides.

The law of sines for this problem is

                   x / sin 46 = 7 / sin 20

-Solve for x

                          x = 7 sin 46 / sin 20

-Simplification

                          x = 7 (0.719) / 0.342

                          x = 5.035/0.342

-Result

                         x = 14.7  

6 0
3 years ago
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Ganezh [65]
The square would be 100.
The semicircle you will use the formula πr^2/2.
That would mean you would take the 3.14x5^2/2.
(3.14x5x5)/2
(3.14x25)/2
78.5/2
=39.25
So the total area would be 139.25
7 0
3 years ago
the cost of belonging to a gym can be modeled by by c(m)=50m+79.50 what is the meaning of the slope and y-intercept
Bess [88]
The slope is the relationship between the cost of the gym and how long you are there for.
the y-intercept is how much it costs to go to the gym for no hours ie the start-up cost.
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3 years ago
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