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GrogVix [38]
3 years ago
7

Molly is painting her bedroom walls, and the paint costs $24 per gallon. How much does the paint cost per quart?

Mathematics
2 answers:
sp2606 [1]3 years ago
7 0

Answer:

$6 per quart

Step-by-step explanation:

Since we are trying to find out how much money a quart of paint will cost, we need to find out how many quarts are in one gallon.

There are 4 quarts in a gallon, therefore we take $24 divided by 4 and get $6 per quart.

KiRa [710]3 years ago
4 0

$6 per quart.

A quart is 1/4 of a gallon.

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Answer:

  • mass: 35.2 kg
  • momentum: 218 kg·m/s
  • velocity: ≈ 6.19 m/s

Step-by-step explanation:

The mass and momentum are given in the problem statement. You are expected to know that ...

... momentum = mass × velocity

To find the velocity, you can fill in the given numbers in this relation, then solve.

... 218 kg·m/s = 35.2 kg · velocity

... (218 kg·m/s)/(35.2 kg) = velocity ≈ 6.193182 m/s . . . . . (divide by mass)

Rounded to appropriate precision, ...

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<em>Comment on word problems</em>

A word problem generally gives you the values of certain quantities, and may give you the relationship between them. It will ask you to make use of the given relationship(s), or one(s) you are expected to know, in order to find the values asked for. Laws of physics (as here), universal constants, geometric relationships, financial relationships, algebraic relationships, and other relationships may be involved. That is why you study these things, learn math and English vocabulary, and pay attention in the real world. (By the time you get to college, you are also expected to be familiar with number facts and the operation of your calculator.)

4 0
4 years ago
Yis inversely proportional to the square of x.
PtichkaEL [24]

Answer:

(a) y = \frac{4}{x^2}

(b) x = \frac{2}{5}

Step-by-step explanation:

Given

Variation: Inverse proportional.

This is represented as:

y\ \alpha\ \frac{1}{x^2}

See attachment for table

Solving (a):

First convert variation to equation

y = k\frac{1}{x^2}

From the table:

(x,y) = (1,4)

So, we have:

4 = k * \frac{1}{1^2}

4 = k * \frac{1}{1}

4 = k * 1

4 = k

k = 4

Substitute 4 for k in y = k\frac{1}{x^2}

y = 4 * \frac{1}{x^2}

y = \frac{4}{x^2}

Solving (b): x when y = 25.

Substitute 25 for y in y = \frac{4}{x^2}

25 = \frac{4}{x^2}

Cross Multiply

25 * x^2 = 4

Divide through by 25

x^2 = \frac{4}{25}

Take positive square roots of both sides

x = \sqrt{\frac{4}{25}

x = \frac{2}{5}

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3 years ago
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