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andrey2020 [161]
3 years ago
6

Bob is filling his 7000-gallon swimming

Mathematics
1 answer:
xeze [42]3 years ago
4 0

Answer:

315 minutes

Step-by-step explanation:

To solve this, we must divide the gallons of the swimming pool by the rate of gallons per minute.

7,000 gallons divided by 22.2 minutes equals 315.3 minutes.

We can round this to 315.

315 minutes is how long it will take to fill the pool.

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Owen’s rectangular garden has a length of (x+3) feet and a width of (x−4) feet. If the area of the garden is 18 square feet, wha
Alexxandr [17]

Answer:

  length: 9 ft

  width: 2 ft

Step-by-step explanation:

This can be worked using a quadratic equation, or it can be worked by considering factors of the area value.

__

<h3>difference in dimensions</h3>

The difference in length between the long side (x+3) and the short side (x-4) is ...

  (x +3) -(x -4) = 3+4 = 7 . . . . feet

<h3>area factors</h3>

The area formula is ...

  A = LW

The given area is 18 square feet, so we want to find numbers that multiply to give 18 and that differ by 7 in their values. Here are the integer factors of 18:

  18 = 1×18 = 2×9 = 3×6

Of these factor pairs, the values 2 and 9 differ by 7.

The garden is 9 feet long and 2 feet wide.

_____

<em>Additional comment</em>

We can check to see if these numbers are consistent with the given expressions:

  x+3 = 9  ⇒  x = 6

  x -4 = 6 -4 = 2 . . . . the other dimension we found

__

If you solve this using a quadratic equation, you will find that dimensions -2 ft and -9 ft also pop out. That is x +3 = -2, or x = -5 is also a solution to the quadratic. Of course, that is an extraneous solution, which we avoid by considering only positive factors of 18.

The quadratic equation we're referring to is A=18 ⇒ (x+3)(x-4) = 18.

6 0
2 years ago
Read 2 more answers
G(x)=2x-x3+8 polynomial function
KonstantinChe [14]

the answer is 8 G(×) =0 interpret something like that but yeah

4 0
2 years ago
11. What geometric shape is a roll of paper towels?<br> (98)
Rus_ich [418]

Answer:

cylinder

Step-by-step explanation:

5 0
3 years ago
Identify THREE vocabulary words that also refer to x-intercepts.
Marianna [84]

Answer:

X-intercepts are also called zeros, roots, solutions, or solution sets.

7 0
3 years ago
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Which of the following points does not lie on the line y = -2x +5?
igor_vitrenko [27]

Answer:

C and E are not on the line.

Step-by-step explanation:

Just substitute for the x and the y and see which ordered pair fits and which does not:

If Left side of the equation = right side then the point fits.

A.   y = -3

-2x+5 = -2(4) + 5 = -3  So A is on the line

B. y = 9

-2(-2) + 5 = 9 So this point does lie on the line.

C. y = 1

-2(3) + 5 = -1   No.

D. y = 7

-1(-1) + 5 = 7  YES.

E. y = 1

-2(1) + 5 = 3 NO.

6 0
2 years ago
Read 2 more answers
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