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Anastaziya [24]
3 years ago
11

Draw a rectangular fraction model to explain your thinking. Then, write a multiplication sentence. A. 2 3 of = 3 5

Mathematics
1 answer:
myrzilka [38]3 years ago
5 0

Answer:

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}

Step-by-step explanation:

Given

\frac{2}{3}\ of\ \frac{3}{5}

Solving (a): Multiplication sentence

\frac{2}{3}\ of\ \frac{3}{5}

Rewrite of as *

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{3}\ *\ \frac{3}{5}

Solve

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}

Hence, the multiplication sentence is:

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}

Solving (b): Rectangular fraction model

In (a) above, the result is 2/5

The fraction model will be represented as thus:

  • Draw a rectangle
  • Partition in to 5 equal parts (5 represents the denominator)
  • Shade 2 of the 5 partitions (2 represents the numerator)

<em>See attachment for model</em>

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Step-by-step explanation:

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density = mass/vol of displaced water

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3 years ago
7 = x + 12<br><br><br><br> A. -19 B. -5 C. 4 D. 5
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You have to get "X" by itself so you subtract 12, 7-12 is -5 so "X" = - 5


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The correct answer is 50%.

Approximately the middle 50% of data is contained inside the box of a box plot.
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4 years ago
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Compute the product AB by the definition of the product of​matrices, where Ab1 and Ab2 are computed​ separately, and by the​row-
nasty-shy [4]

Answer:

A * B = \left[\begin{array}{ccc}10&-6\\8&5\\19&-10\end{array}\right]

Step-by-step explanation:

Given

A =\left[\begin{array}{cc}2&-2\\3&4\\4&-3\end{array}\right]

B = \left[\begin{array}{cc}4&-1\\-1&2\end{array}\right]

Required

AB

To do this, we simply multiply the rows of A by the column of B;

So, we have:

A * B = \left[\begin{array}{ccc}2*4 + -2*-1&2*-1+-2*2\\3*4+4*-1&3*-1+4*2\\4*4-3*-1&4*-1-3*2\end{array}\right]

A * B = \left[\begin{array}{ccc}10&-6\\8&5\\19&-10\end{array}\right]

6 0
3 years ago
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Answer:

Alex can do the job in 60 days alone.

Step-by-step explanation:

Alex and Brandon working together, they can finish the job of cleaning the school in 15 hours. Brandon alone in 20 hours can finish the job.

So, Brandon can complete \frac{1}{20} part of the job in one hour.

Let, Alex alone can finish the same job in x hours.

So, Alex can complete \frac{1}{x} part of the job in one hour.

So, working together they do (\frac{1}{20} + \frac{1}{x}) = \frac{x + 20}{20x} part of the whole job in one hour.

Hence, from the conditions given we can write

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Therefore, Alex can do the job in 60 days alone. (Answer)

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3 years ago
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