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zloy xaker [14]
3 years ago
8

Multiply and simplify: 3a(4a2 – 5a + 12)

Mathematics
1 answer:
DochEvi [55]3 years ago
3 0
3a(4a²-5a+12)

12a³-15a²+36a

~Hope this helped!~
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Susan makes purple paint by mixing red and blue paint in the ratio 2:3
viktelen [127]
25ml — you add up the two numbers in the ratio, and that makes 5 (2+3), you then need to make sure that your answer is a multiple of 5 while being in the ratio 2:3. You then add up the 2 colours of paint
6 0
2 years ago
A stack of books is 24 inches high.
JulsSmile [24]

Answer:

32

Step-by-step explanation:

Let's say n such books make up the stack.

If each book is 3/4 inch thick, it contributes 3/4 to the total height of the stack – 24 inches.

==> number of books × 3/4 = 24

(<em>to</em><em> </em><em>get</em><em> </em><em>this</em><em> </em><em>result</em><em> </em><em>add</em><em> </em><em>the</em><em> </em><em>heights</em><em> </em><em>of</em><em> </em><em>n</em><em> </em><em>such</em><em> </em><em>book</em><em>,</em><em> </em><em>and</em><em> </em><em>equate</em><em> </em><em>it</em><em> </em><em>to</em><em> </em><em>2</em><em>4</em><em>.</em><em> </em><em>You'll</em><em> </em><em>get</em><em> </em><em>something</em><em> </em><em>like</em><em>:</em>

<u><em>3</em><em>/</em><em>4</em><em> </em><em>+</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em>+</em><em>.</em><em> </em><em>.</em><em> </em><em>.</em><em> </em><em>.</em><em> </em><em>n</em><em> </em><em>times</em><em> </em><em>=</em><em> </em><em>2</em><em>4</em></u>

<em>And</em><em> </em><em>that's</em><em> </em><em>what's</em><em> </em><em>meant</em><em> </em><em>by</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em>×</em><em> </em><em>n</em><em> </em><em>=</em><em> </em><em>2</em><em>4</em><em>)</em>

==> n × 3/4 = 24

<em>multiply</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>4</em>

<em>=</em><em>=</em><em>></em><em> </em>n × 3 = 24 × 4

<em>divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>3</em>

==> n = (24 × 4)/3

==> n = 8 × 4

==> n = 32

We assumed the number of books to be n.

so the answer is:

<u> <em>32</em></u> books, each if height 3/4 inch, are required to build a stack 24 inches high.

4 0
3 years ago
3x18 = 3 (10+8) is an example of the _________ property of multiplication.
Mariulka [41]

Answer:

3x18 = 3 (10+8) is an example of the commutative property of multiplication

Step-by-step explanation:

3 0
4 years ago
Lucy is going to the grocery store. She will buy 5 items. Every item she will buy is $2. Afterward, she will buy herself a milk
Dima020 [189]

Answer:

13 dollars

Step-by-step explanation:

5 x 2= 10+3=13

3 0
4 years ago
Which of the following shows the answer to the problem 3/13 x 5/21 = _____ in its simplest form?
Nikolay [14]
\frac{3}{13} * \frac{5}{21}
=
8 0
4 years ago
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