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Arlecino [84]
3 years ago
12

Sung-Hi is filling a sandbox with sand at the rate shown in the table below. which statement must be true regarding the linear f

unction that represents this situation?

Mathematics
2 answers:
diamong [38]3 years ago
6 0

Answer:

4th one is correct!

Step-by-step explanation:

The rate of change must be 20 pounds per minute

since every minute there's 20 more pounds. Hope this helps!

lana66690 [7]3 years ago
3 0

Answer:

D. The rate of change must be 20 pounds per minute.

Step-by-step explanation:

At time 0, the amount of sand is 200 lb. Time zero is when it starts, so it is also called the initial time. The initial value is 200 lb, so choices A and B are wrong.

Now look at the difference from time 0 minutes to time 1 minute. The amount of sand went from 200 lb to 220 lb. The amount of sand placed in 1 minute is 20 lb, so the rate of change is 20 lb per minute. That makes choice C wrong and choice D correct.

Answer: D. The rate of change must be 20 pounds per minute.

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Solve for x.<br> 7(1x - 3) = 4(x + 5)
alexandr1967 [171]

Answer:

x = 41/3

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

7(1x - 3) = 4(x + 5)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Simplify:                                        7(x - 3) = 4(x + 5)
  2. Distribute:                                     7x - 21 = 4x + 20
  3. Subtract 4x on both sides:          3x - 21 = 20
  4. Add 21 on both sides:                  3x = 41
  5. Divide 3 on both sides:                x = 41/3

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    7(1(41/3) - 3) = 4(41/3 + 5)
  2. Multiply:                        7(41/3 - 3) = 4(41/3 + 5)
  3. Subtract/Add:               7(32/3) = 4(56/3)
  4. Multiply:                        224/3 = 224/3

Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.

And we have our final answer!

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3 years ago
Use Law of Sine to A if B is 115 degrees, b is 18, and c is 12
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Answer:

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Step-by-step explanation:

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14 = 9 - x

First, subtract 9 from both sides.

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5 = -x

Now divide both sides by -1.
5/-1 = -1/-1x
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The answer is x = -5.
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