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Tpy6a [65]
3 years ago
9

The total amount, a, in dollars, that Mitra earns is a = 14.6h, where h is the number of hours that she works. What is the const

ant of proportionality? Enter your answer as a decimal in the box. I have an answer Im just sure :/
Mathematics
2 answers:
lesantik [10]3 years ago
7 0
14.6 is the constant because no matter how many hours she will work (that number could change) it will always be a linear growth of 14.6.
dimulka [17.4K]3 years ago
4 0

Answer:

Find out the what is the constant of proportionality .

To prove

As given

The total amount, a, in dollars, that Mitra earns is a = 14.6h .

The total amount in dollars is represented by a.

the number of hours that Mitra works by h .

As the total amount is depand upon the working hours.

Thus

a \propto h

a = kh

Where k is the constant of proportionality .

Compare this with the equation a = kh with  a = 14.6h  .

k =14.6

Therefore 14.6  is the constant of proportionality .




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If a rectangular prism has a volume of 1,890 feet, a height of 15 feet, and a width of 18 feet, what is the length?
balandron [24]

Answer:

7 feet

Step-by-step explanation:

1890/(15*18)=7

5 0
3 years ago
Select the objects that hold the same amount of liquid as a 128−fluid-ounce jug. Select all that apply. A three 8−ounce fluid gl
Salsk061 [2.6K]
The correct answers are C, D, and E.

1 quart = 32 fl oz
1 pt = 16 oz

Using these conversions you will multiply the number of quarts or pints by the number of ounces in each and then add the totals together to find if they equal 128 oz.

C.   4 x 32 = 128 oz
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3 years ago
What is the height of a cylinder with a volume of 304 x cubic inches and a radius of 8 inches? Round to the nearest tenth of an
andreyandreev [35.5K]

Answer:

1.5 inches

Step-by-step explanation:

V=pir^2h

304=pi8^2h

pi64h=304

pih=4.75

h=1.51197195937

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%28%20%5Cfrac%7B1%7D%7B2%7D%20%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%20%5Cfrac%7B1%7D%7B2%7D%20ab
Zigmanuir [339]

Answer:

\frac{1}{2} (a + 2b)(a - b)

Step-by-step explanation:

Assuming you require the expression to be factored

Given

\frac{1}{2} a² + \frac{1}{2} ab - b² ← factor out \frac{1}{2} from each term

= \frac{1}{2} (a² + ab - 2b²) ← factor the quadratic

Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)

The factors are + 2 and - 1, since

2 × - 1 = - 2 and 2 - 1 = + 1, thus

a² + ab - 2b² = (a + 2b)(a - b) and

\frac{1}{2} a² + \frac{1}{2} ab - b² = \frac{1}{2}(a + 2b)(a - b)

5 0
3 years ago
Beakers X and Y contain some water. If 50 ml of water is transferred from Beaker X
eduard

Answer:

140 ml

Step-by-step explanation:

Let x be the amount of water in Beaker X and y be the amount of water in Beaker Y.

<u>Then we get following equations:</u>

<u>First part</u>

  • x - 50 = 3/7(y + 50)
  • 7x -350 = 3y + 150
  • 7x = 3y + 500

<u>Second part</u>

  • x + 100 = 4(y - 100)
  • x + 100 = 4y - 400
  • x = 4y - 500

<u>Substitute x in first equation:</u>

  • 7(4y - 500) = 3y + 500
  • 28y - 3500 = 3y + 500
  • 28y - 3y = 500 + 3500
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  • y = 4000/25
  • y = 160 ml

<u>Then finding x:</u>

  • x = 4*160 - 500
  • x = 640 - 500
  • x = 140 ml

Initial amount of water in Beaker X is 140 ml, in Beaker Y is 160 ml

4 0
3 years ago
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