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Mekhanik [1.2K]
3 years ago
14

Which expression is equal to (32)(8)(5x) using the associative property?

Mathematics
1 answer:
Yuliya22 [10]3 years ago
7 0
Seeing as there are no answer choices, here are all the answers I would think to make. Quick note, associative property of multiplication states that you can change the parenthesis/order of your multiplication in any order and it will stay true, example: (5)(8)(3)=40*3 and 24*5.
Answers: (32)(40)(x), (32)(40x), (32)(8)(5)(x), (32)(8x)(5), (160)(8x), (160x)(8), (160)(8)(x), (32x)(8)(5), (256x)(5), (256)(5x), (256)(5)(x), (1280)(x), (1280x)
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A rectangle is dilated by a scale factor of n = 1. Which statement is true regarding the image of the dilation? O The image will
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Answer:

  The image will be congruent to the pre-image because n=1

Step-by-step explanation:

The image dimensions are the original dimensions multiplied by the scale factor. If the scale factor is 1, the image is the same size as the original, hence congruent to the pre-image.

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3 years ago
John ordered 4 pairs of black socks and some additional pair of blue socks. The price of the black socks per pair was twice that
Phantasy [73]

Answer:  The correct option is

(C) 1 : 4.

Step-by-step explanation:  Given that John ordered 4 pairs of black socks and some additional pair of blue socks. The price of the black socks per pair was twice that of the blue.

When the order was filled, it was found that the number of pairs of the two colors had been interchanged. This increased the bill by 50%.

We are to find the ratio of the number of pairs of black socks to the number of pairs of blue socks in the original order.

Let b represents the number of pairs of blue socks that John ordered and p be the price per pair of blue socks.

Then, the price of the black socks per pair = 2p.

The total price of the socks originally is

C=4\times2p+b\times p=8p+bp

and the cost of the socks after interchange of the colors is

C'=4\times p+b\times2p=4p+2bp.

According to the given information, we have

(4p+2bp)-(8p+bp)=50\%\times(8p+bp)\\\\\Rightarrow 4p+2bp=\dfrac{8p+bp}{2}+(8p+bp)\\\\\Rightarrow 4p+2bp=\dfrac{3}{2}(8p+bp)\\\\\Rightarrow 4+2b=\dfrac{3}{2}(8+b)\\\\\Rightarrow 8+4b=24+3b\\\\\Rightarrow b=16.

So, there are 16 pairs of blue socks.

Therefore, the ratio of the number of pairs of black socks to the number of pairs of blue socks in the original order was

4:16=\drac{4}{16}=\drac{1}{4}=1:4.

Thus, option (C) is CORRECT.

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3 years ago
Consider the following intermediate chemical equations.
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Answer:

A. -205.7 kJ

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formed in a multi-step process.

4 0
3 years ago
Please help me for points
klasskru [66]
5 * 4

Hope this helps.
8 0
3 years ago
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