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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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Lunna [17]

Answer:

JH = 8, GH = 12, and GJ = 10.6

Step-by-step explanation:

According to Midsegment Theorem, a segment that connects the midpoints of two sides of a triangle is half the length of the third side.

GH = ½ DE

JH = ½ DF

GJ = ½ EF

DE is 24, so GH = 12.

JH is half of DF.  Since G is the midpoint of DF, DG is also half of DF.  So JH = DG = 8.

GJ is half of EF.  Since H is the midpoint of EF, HE is also half of EF.  So GJ = HE = 10.6.

4 0
3 years ago
Marcus picks 4 times as many blueberries as Tim. Marcus picks 20 cups of blueberries. How many cups of blueberries does Tim pick
gulaghasi [49]

How many cups of blueberries does Tim pick? tim pick 5 cups of blueberries

4 0
2 years ago
Find the circumference and area of a circle A with a diameter of 26 inches.
makkiz [27]

Answer:

Circumference: 81.681 in; Area: 530.929 in

Step-by-step explanation:

To find circumference we use the formula pi x diameter. Which in this case is pi x 26 in, or approximately 81.681 in.

For the area, we use pi x r^2. r = 1/2 d, so r = 13in. Therefore, the area is equal to 169 x pi in, which is about 530.929 in.

5 0
3 years ago
How do you count by 8s and 7s
galben [10]

Answer:

just add 8+8+8 until you get to the number u want/need and the same with 7. Or you can multiply.

8x1=8

7x1=7

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etc.


Hope it helps!

7 0
3 years ago
Help me pls it’s urgent
earnstyle [38]

Answer:

<A = 115

<C = 50

Step-by-step explanation:

<A + <B + <C = 180

SO

(4X -13) +15 +(X+18) =180

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5X = 160

X= 32

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<C = 32+18 = 50

3 0
3 years ago
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