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ss7ja [257]
3 years ago
11

Maya decided to paint some of the rooms in her hotel. She found out that a room required 3/2 cans of paint. If Maya buys 9 cans

of paint, how many rooms can she paint?
Mathematics
1 answer:
Dmitry [639]3 years ago
5 0

Answer:

She can paint <u>6 rooms</u>.

Step-by-step explanation:

Given:

Maya decided to paint some of the rooms in her hotel. She found out that a room required 3/2 cans of paint.

If Maya buys 9 cans of paint.

Now, to find the rooms she can paint.

So, we use unitary method to get the number of rooms:

If,  \frac{3}{2} cans of paint is needed to paint 1 room.

Then, 1 can of paint is needed to paint = \frac{1}{\frac{3}{2}} =\frac{2}{3} room.

Thus, 9 cans of paint is needed to paint = \frac{2}{3} \times 9

=\frac{18}{3} \\\\=6\ rooms.

Therefore, she can paint 6 rooms.

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Write an equivalent multiplication expression. than, find the quotient in it's simplest form. Use a model to support your respon
ludmilkaskok [199]

Answer:

Part 1) \frac{1}{8}

Part 2) \frac{1}{9}

Step-by-step explanation:

we know that

The quotient of a fraction by a whole number is the same that multiply the fraction by the reciprocal of the whole number

so

\frac{\frac{a}{b}}{c}=(\frac{a}{b})(\frac{1}{c})

Part 1) 1/4 divided by 2

\frac{\frac{1}{4}}{2}=(\frac{1}{4})(\frac{1}{2})=\frac{1}{8}

Part 2) 2/3 divided by 6​

\frac{\frac{2}{3}}{6}=(\frac{2}{3})(\frac{1}{6})=\frac{2}{18}

Simplify

\frac{1}{9}

4 0
3 years ago
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lyudmila [28]

Answer:

The surface area of the prism is 72 square units.

Step-by-step explanation:

In order to calculate the surface area of the prism we must calculate the area of each face of the prism. To better visualize it we can look at the picture below. We must calculate the area of every face in the picture, so we have:

surface area = 2*[(1/2)*3*4] + 3*5 + 4*5 + 5*5

surface area = 12 + 15 + 20 + 25

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7 0
3 years ago
Given:
pychu [463]
We can use the SSS congruence theorem to prove that the two triangles in the attached figure are congruent. The SSS or side-side-side theorem states that each side in the first triangle must have the same measurement or must be congruent on each of the opposite side of another triangle. In this problem, for the first triangle, we have sides AC, CM, AM while in the second triangle we have sides BC, CM, and BM. By SSS congruent theorem, we have the congruent side as below:
AC = BC
CM = CM
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The answer is SSS theorem.
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Answer:

$644 if you want the cost of all the tickets

Step-by-step explanation:

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