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dybincka [34]
3 years ago
9

Maria is draining her swimming pool. The depth of the water in the pool changes by −3/4 foot every hour.The depth of the water w

as 5 feet when she started draining. What is the depth of the water after 5 hours?
Mathematics
1 answer:
Alex17521 [72]3 years ago
7 0

Answer: 1 1/4feet

Step-by-step explanation:

From the question, we are informed that the depth of the water in the pool changes by −3/4 foot every hour and that the depth of the water was 5 feet when she started draining.

The depth of the water after 5 hours will be:

= 5 - 3/4(5)

= 5 - 15/4

= 5 - 3 3/4

= 1 1/4 feet

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If 1 is added to a number and the sum is tripled​, the result is 17 more than the number. Find the number
bearhunter [10]
Form an equation. Start by representing the number you want to find as X. Now add 1.
X + 1
Now we need to triple it. That basically means multiply X+1 by 3. You can write that as:
3 (X + 1)
Now we write out that the result is 17 more than the number we want to find. So set an equals sign up
3 (X + 1) =
And now write X + 17
3 (X + 1) = X + 17

Now we solve for X.
Firstly, let's get rid of the X on the right.
Remember, if we want to get rid of a number of variable on one side, we need to use opposites, and do the same to the other side of the equation.
In this case, we have a positive X on the right. To get rid of that, we subtract X from both sides. This will leave us with:
2x + 3 = 17
Now let's get rid of the +3 on the left. To do this, we subtract 3 from both sides of the equation.
2x = 17 - 3
2x = 14
Now we just need to get X by itself. The 2 in front of the X multiplies X by 2. Therefore, to get X on its own, we need to divide 2x by 2, which just gives us 2.
We also need to divide the other side by 2, because if we do something on one side, we need to do something on the other too. So divide 14 by 2, and we get 7.
X = 7

But before we celebrate, let's double check the answer. Add 1 to 7. This gives us 8. Triple 8. This is 24. This should be 17 more than 7. So go, 24 - 17. And whaddya know - it's 7!

4 0
3 years ago
Which tables could be used to verify that the functions they represent are inverses of each other? Select two
devlian [24]
<h3>Answers:  C and D</h3>

Why? Because they are mirrors of each other. In other words, one table has its x and y row swapped compared to the other table.

The input x = -120 leads to the output y = 627 in table C. Then in table D, we have the input x = 627 to go the output y = -120. Refer to the first column of each table mentioned. The same applies for the other columns as well. The inverse table undoes everything the original table does.

4 0
3 years ago
Gerardo works at an ice cream shop each flavor of ice cream is stored in a right cylindrical tub that measures approximately 9 i
Leokris [45]

Answer:

Volume left = 404.32 cubic inches

Step-by-step explanation:

volume of a cylinder = \pir^{2}h

volume of ice cream in the cylindrical tub = \frac{22}{7} x 5^{2} x 9

                                           = \frac{22}{7} x 25 x 9

                                           = 707.1429

Volume of ice cream in the cylindrical tub is 707.14 cubic inches.

The ice cream scoop has a spherical volume, so that;

volume of a sphere = \frac{4}{3}\pir^{3}

r = \frac{2.5}{2}

 = \frac{5}{4} inches

volume of the scoop = \frac{4}{3} x \frac{22}{7} x (\frac{5}{4} )^{3}

                                  = \frac{4}{3} x \frac{22}{7} x \frac{125}{64}

                                  = 8.1845

volume of the scoop is 8.19 cubic inches.

If he scoops 37 scoops,

volume of the 37 scoops = 37 x 8.1845

                                          = 302.8265

volume of 37 scoops is 302.83 cubic inches.

Volume of ice cream left in the tub = 707.1429 - 302.8265

                                                           = 404.3164

Volume of ice cream left in the tub is 404.32 cubic inches.

7 0
3 years ago
The triangles shown below may not be congruent.<br> A. True<br> B. False
Molodets [167]

Answer:

B. False

Step-by-step explanation:

Congruent Definition: having the same size and shape.

6 0
2 years ago
Read 2 more answers
Determine the equation of a circle with the center (8,10) and radius 6​
lyudmila [28]

Answer:

(x - 8)² + (y - 10)² = 36

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Pre-Calculus</u>

Circle Center Formula: (x - h)² + (y - k)² = r²

  • <em>(h, k) </em>is center
  • <em>r</em> is radius

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em>(h, k)</em> = (8, 10)

<em>r</em> = 6

<u>Step 2: Find Equation</u>

  1. Substitute in variables [Center Circle Formula]:                                             (x - 8)² + (y - 10)² = 6²
  2. Evaluate exponents:                                                                                         (x - 8)² + (y - 10)² = 36
8 0
3 years ago
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