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Romashka-Z-Leto [24]
3 years ago
8

Which expressions are equivalent to 2 (three-fourths x + 7) minus 3 (one-half x minus 5)? Check all that apply.

Mathematics
2 answers:
Mariulka [41]3 years ago
8 0

Answer:

2(\frac{3}{4}x+7)+(-3)(\frac{1}{2}x+(-5))

2(\frac{3}{4}x)+2(7)+(-3)(\frac{1}{2}x)+(-3)(-5)

Step-by-step explanation:

The original expression given in the text is

2(\frac{3}{4}x+7)-3(\frac{1}{2}x-5)  (1)

And we want to check to what other expressions is equivalent. First of all, we solve it by writing explicitely each term:

\frac{3}{2}x+14-\frac{3}{2}x+15 (2)

Let's verify each of the other expressions separately. For the first one:

2(\frac{3}{4}x+7)+(-3)(\frac{1}{2}x+(-5))

We see that this is equivalent to expression (1), since the first half is identical, while in the second one, the combination "+-" can be simply written as "-", so we get

2(\frac{3}{4}x+7)-3(\frac{1}{2}x-5)

Which is equivalent to (1).

For the 2nd one:

2(\frac{3}{4}x)+2(7)+3(\frac{1}{2}x)+3(-5)

This is not equivalent. In fact, here we have applied the distributive property to each term: however, the 3rd and 4th term are not correct, because the (3) must be negative (-3), as in the original expression.

If we write it explicitely in fact, we get

\frac{3}{2}x+14+\frac{3}{2}x-15

Which is different from (2).

For the 3rd one:

2(\frac{3}{4}x)+2(7)+(-3)(\frac{1}{2}x)+(-3)(-5)

This one is equivalent. In fact, here we have applied the distributive property correctly. By solvign each term we get:

\frac{3}{2}x+14-\frac{3}{2}x+15

ladessa [460]3 years ago
3 0

Answer:

B, C, and A

hope this helps :)

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Answer:

Parte1 :

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7 0
3 years ago
A high rise apartment building has 15 floors with 26 apartments on each floor.There are 3 kinds of apartments in the building: 1
konstantin123 [22]

Answer:

The number of each kind of apartment in the building is 130  .

Step-by-step explanation:

Given as :

The total number of floor in a building = 15

The number of apartment on each floor = 26

So, The total number of apartment = 26 × 15 = 390

The number of kinds of apartment in the building is 3 ,  i.e 1-bedroom ,               2-bedroom , 3-bedroom

Let The number of each kind of apartment in building = x

So, According to question

The number of each kind of building = \dfrac{\textrm Total number of apartment }{number of kinds of apartment}

or, x = \frac{390}{3}

∴   x = 130

Hence The number of each kind of apartment in the building is 130  . Answer

3 0
3 years ago
302 car stereos were recently sold in a car audio store. 149 had a CD player, 116 had a cassette player, and 40 had both a CD an
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Answer:

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Step-by-step explanation:

If 149 car stereos had a CD player (with or without a cassette player), and 40 car stereos had both a CD and a cassette player, the number of stereos with only a CD player is determined by:

CD_{only} = CD - Both\\CD_{only} =149-40\\CD_{only} =109\ car\ stereos

109 car stereos had only a CD player.

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3 years ago
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