1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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 :)

You might be interested in
How are fractions related to decimals
irina1246 [14]
Fractions and decimals can be written as a percent
6 0
3 years ago
Read 2 more answers
2x-1=4<br> -2x+y=8<br> Find the value of x
andrezito [222]

Answer:

Step-by-step explanation:

2x=5

x=2.5

4 0
2 years ago
Rewrite standard form equation in graphing form and then sketch the graph
Aleonysh [2.5K]
Türkiye cumhuriyeti ccc
8 0
3 years ago
Bart wants to deposit his piggy bank savings into a savings account. If he deposits $325. 76, how many whole years will it take,
vladimir1956 [14]

Answer:

Step-by-step explanation:

Compounding interest :

Future value of money = Present value * (1+ r)^N

r - interest rate

n - number of period

In our example, Present value = 325.76, FV = 400, r = 2%, and we need to find N

by solving that we can find it that N is equal to 10.3675

Simple interest :

400 - 325.76 = 74.26$ we need to increase

325.76*2% = 6.5152$ each year

74.26 / 6.5152 = 11.3949

as a whole year = 12years

6 0
2 years ago
Renee is standing at point (1, 0) on a gigantic circular track of radius 1 mile with center (0, 0). She walks counterclockwise a
mafiozo [28]

Answer:

32

Step-by-step explanation: xbcjxnszHJCGewupearl had some beads She used 3/5 of them to make bracelets and 1/4 of the remainder to decorate her sweater if she had 300 beads left how many beads did she have at first jdks

7 0
3 years ago
Other questions:
  • A coach gives her players the option of running around their field twice or around their entire stadium once. The following diag
    7·1 answer
  • The following function is probability mass function. f left-parenthesis x right-parenthesis equals StartFraction 2x plus 1Over 2
    7·1 answer
  • Sonia graphs the equations y = –x2 + 4x and y = x – 4 to solve the equation –x2 + 4x = x –
    11·2 answers
  • Logan has several job offers in different cities. What should he research to determine how much money he will have to spenas he
    9·2 answers
  • (-1, 3) and (7, -1)Find the coordinates of the midpoint of the segment with the endpoints listed below.
    6·1 answer
  • Which expression is represented by the model
    8·2 answers
  • The inequality x &lt; 5 represents the possible values for x on a number line. Which is a possible value for x?
    9·1 answer
  • 4.5.36
    11·1 answer
  • In the figure below, lines p and s are parallel.
    6·2 answers
  • Can someone write me a 5 paragraph essay of why we should wear masks.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!