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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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Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

Step-by-step explanation:

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3 years ago
The collection of all value is called the range of the function​
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Answer:

Step-by-step explanation:

False.  The range of a function is the set of all values taken on by the dependent variable ( e. g., by y in the set y = f(x) ).  By definition there is a single y value associated with each number (input) in the domain of the function.

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Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
Natali [406]

Answers:

  • Total equation:  x+y = 80
  • Legs equation:  2x+4y = 248
  • How many ducks? 36
  • How many cows? 44

====================================================

Further explanation:

  • x = number of ducks
  • y = number of cows

x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.

That equation can be solved to y = 80-x after subtracting x from both sides.

The legs equation is 2x+4y = 248 because...

  • 2x = number of legs from all the ducks only
  • 4y = number of legs from all the cows only
  • 2x+4y = total number of legs from both types of animals combined

We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248

------------

Let's plug y = 80-x into the second equation and solve for x.

2x+4y = 248

2x+4( y ) = 248

2x+4( 80-x ) = 248

2x+320-4x = 248

-2x+320 = 248

-2x = 248-320

-2x = -72

x = -72/(-2)

x = 36

There are 36 ducks

Now use this x value to find y

y = 80-x

y = 80-36

y = 44

There are 44 cows.

------------

Check:

36 ducks + 44 cows = 80 animals total

36*2 + 44*4 = 72 + 176 = 248 legs total

The answers are confirmed.

5 0
2 years ago
Simplify -9(2x-7)+10
Dimas [21]

Answer:

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-9 times 2x is -18x

-9 times -7 is 63

63+10=73

so, -18x+73 is your answer

6 0
3 years ago
Read 2 more answers
Jenny bought 3 CDs that were each the same price. Including sales tax, she paid a total of $45.30 Of that total, $1.50 was tax.
enot [183]

Answer:

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Step-by-step explanation:

Jane bought 3 CDs that were each the same price. So let the price of each CD be ‘x’.

It is given that including sales tax, she paid a total of $45.30.

Also each CD had a tax of $1.50. We need to find out what the price of each CD was before tax.

Since the tax for all 3 CDs was same, the total amount of tax that she paid was:

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3x = 40.8

x = 13.6

Therefore the price of each CD before tax is $13.6.

5 0
3 years ago
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