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
Artemon [7]
3 years ago
7

Expanding and Adding Expressions Use the expansion shown to simplify the expression. One-half (3 x minus two-thirds y) + 3 (Star

tFraction x over 2 EndFraction + one-half y) Equals (one-half) (StartFraction 3 over 1 EndFraction x) + (one-half) (Negative two-thirds y) + (StartFraction 3 over 1 EndFraction) (one-half x) + (StartFraction 3 over 1 EndFraction) (one-half y) Equals (three-halves x) + (negative one-third y) + (three-halves x) + (three-halves y) = 3x + y
Mathematics
1 answer:
Lisa [10]3 years ago
6 0

Answer:

3x+\frac{7}{6}y

Step-by-step explanation:

To simplify the expression, we first open the parenthesis, then we collect all the like terms. Lastly we simplify the like terms to its simplest form. Given that:

\frac{1}{2}(3x-\frac{2}{3} y)+3(\frac{x}{2}+\frac{1}{2}y )\\\\Firstly, we\ expand\ the\ parenthesis:\\\\=\frac{1}{2}(3x)-\frac{1}{2}(\frac{2}{3} y)+3\frac{x}{2}+3(\frac{1}{2} y)\\

=\frac{3}{2}x-\frac{1}{3}y +\frac{3}{2}x+\frac{3}{2} y\\\\  Collecting\ like\ terms:\\\\=\frac{3}{2}x+\frac{3}{2}x-\frac{1}{3}y+\frac{3}{2}y\\\\Adding \ terms:\\\\=3x  +\frac{7}{6}y

You might be interested in
Mai has picked picked 1 cup of strawberries for a cake, which is enough for 3/4 of the cake. How many cups does she need for the
Naily [24]
She will need 1/3 cup because she has already covered 3/4
8 0
3 years ago
Read 2 more answers
Point w id located at (-2,3) on a coordinate plane. Point W is reflected over the x-axis to create point W" is then reflected ov
Anna11 [10]

Answer:

W'' = (2, -3)

Step-by-step explanation:

Reflection over the x-axis negates the y-coordinate and leaves the x-coordinate alone. The W becomes ...

... W' = (-2, -3)

Reflection over the y-axis negates the x-coordinate and leaves the y-coordinate alone. The W' becomes ...

... W'' = (2, -3)

5 0
3 years ago
Read 2 more answers
The cities Cleveland, Ohio; Erie, Pennsylvania; and Rochester, New York, in respective order, lie approximately in a straight li
Ann [662]

Answer:

  Erie to Rochester is 145 miles

Step-by-step explanation:

If we designate the points of interest as C, E, and R, we are told that ...

  CE + ER = CR . . . . . the various distances are segments of a straight line

For CE = 94 and CR = 239, we can fill in the given information and solve for ER.

  94 + ER = 239

  ER = 239 -94 . . . . . . subtract 94 from both sides of the equation

  ER = 145

The distance from Erie to Rochester is 145 miles.

7 0
3 years ago
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen
Alisiya [41]
The answer is <span>2(–4y + 13) – 3y = –29

Step 1: Express </span><span>x from the second equation
Step 2: Substitute x into the first equation:

The system of equations is:
</span><span>2x – 3y = –29 
x + 4y = 13

Step 1: 
</span>The second equation is:    x + 4y = 13
Rearrange it to get x:         x = - 4y + 13

Step 2:
The first equation is:          2x – 3y = –29 
The second equation is:    x = - 4y + 13
Substitute x from the second equation into the first one:
2(-4y + 13) - 3y = -29

Therefore, the second choice is correct.
5 0
3 years ago
What is the area of this rectangle
MrRissso [65]

Answer:

6 cm^2

Step-by-step explanation:

Area of Rectangle is L*W

L=3 and W=2

3*2=6

4 0
2 years ago
Other questions:
  • (B^2)(B^4)<br> Answer choices<br> B^8<br> B^6<br> B^2<br> 2b^6
    5·1 answer
  • Is y=7x-4 a linear function yes or no? <br> Please answer asap! Thank You
    13·1 answer
  • A 747 airplane weighs about 600,000 pounds. It can also be expressed as approximately 3 x 10^n tons. If there are 2,000 pounds i
    12·2 answers
  • What is 2,871,000,000 in scientific notation
    11·2 answers
  • B. 17695.137 +2762.8796 -​
    13·1 answer
  • Jason and Jared have a lawn-mowing service. They charge $20 per hour. One lawn was 150 ft. by 100 ft. and it took 11⁄2 hours to
    15·2 answers
  • Can someone help me on this. I'm really confused
    15·1 answer
  • Six million and five thousandths
    12·1 answer
  • Solve the following<br> equations for r:<br> 9r - 66 = 116 - 4r
    12·1 answer
  • Raja drove from A to B at an average speed of 50mph
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!