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
nataly862011 [7]
4 years ago
7

Simplify the expression.

Mathematics
1 answer:
sergiy2304 [10]4 years ago
7 0

Answer:

The simplified expression is:

⇒ 13x-8

Step-by-step explanation:

Given expression:

(9x + \frac{1}{2})+(4x-8\frac{1}{2})

To simplify the given expression.

Solution:

In order to simplify, we will combine the like terms by removing the parenthesis.

We have:

⇒  9x + \frac{1}{2}+4x-8\frac{1}{2}

Combining like terms.

⇒  9x+4x+\frac{1}{2}-8\frac{1}{2}

⇒  13x+\frac{1}{2}-8\frac{1}{2}

In order to combine fractions, we will combine the whole number and the fraction separately.

⇒  13x-8+(\frac{1}{2}-\frac{1}{2})

⇒  13x-8+0

Thus, the simplified expression is:

⇒ 13x-8

You might be interested in
Evaluate.<br>  <br> [4•4 ÷ (2 + 3 • 2)] + [4 • (36 – 5•5
Vladimir [108]
The answer your looking for is 46
5 0
4 years ago
Read 2 more answers
Which expressjon is equivalent to -15x+39
Travka [436]
B is the correct answer
7 0
3 years ago
Read 2 more answers
Every Thursday, Matt and Dave's Video Venture has “roll-the-dice" day. A customer may choose to roll two fair dice and rent a se
german

X = $13.38

Y = $2.00

v

5 0
2 years ago
Can someone help answer this
kolezko [41]

Answer:

v = 55

Step-by-step explanation:

Plug in the values provided into the equation

v = u + at

v = 23 + 8 * 4

Solve

v = 23 + 8 * 4

v = 23 + 32

<u>v = 55</u>

6 0
3 years ago
Read 2 more answers
The 11th term of an progression is 25 and the sum of the first 4 terms is 49. The nth term of the progression is 49
KIM [24]

<u>Answer:</u>

<u>For 1:</u> The first term is 10 and the common difference is \frac{3}{2}

<u>For 2:</u> The value of n is 27

<u>Step-by-step explanation:</u>

The n-th term of the progression is given as:

a_n=a_1+(n-1)d

where,

a_1 is the first term, n is the number of terms and d is the common difference

The sum of n-th terms of the progression is given as:

S_n=\frac{n}{2}[2a_1+(n-1)d]

where,

S_n is the sum of nth terms

  • <u>For (1):</u>

The 11th term of the progression:

25=a_1+10d               .......(1)

Sum of first 4 numbers:

49=\frac{4}{2}[2a_1+3d              ......(2)

Forming equations:

98=8a_1+12d

25=a_1+10d                  ( × 8)

The equations become:

98=8a_1+12d

200=8a_1+80d

Solving above equations, we get:

102=68d\\\\d=\frac{102}{68}=\frac{3}{2}

Putting value in equation (1):

25=a_1+10\frac{3}{2}\\\\a_1=[25-15]=10

Hence, the first term is 10 and the common difference is \frac{3}{2}

  • <u>For 2:</u>

The nth term is given as:

49=10+(n-1)\frac{3}{2}

Solving the above equation:

39=(n-1)\frac{3}{2}\\\\n-1=26\\\\n=27

Hence, the value of n is 27

3 0
3 years ago
Other questions:
  • Evaluate the following expression exactly: cosine of 120°<br><img src="https://tex.z-dn.net/?f=cos%28120%29" id="TexFormula1" ti
    11·2 answers
  • What are the values of a, b, and c in the quadratic equation 0 = x^2 – 3x – 2?
    15·1 answer
  • Pls help, I will name brainliest!
    12·1 answer
  • 3/4m + 12 = 36 (this is a Two-Step Equation btw)
    14·2 answers
  • Given the system of equations presented here:
    5·2 answers
  • Find m&lt;1 in the rhombus below
    13·1 answer
  • How do I compare decimal numbers
    6·2 answers
  • Which region indicates the intersection of the system 2x + 3y &gt; 3 and y sx - 1?
    9·1 answer
  • Find the perimeter for number 5 using the formula P=4s
    14·1 answer
  • Got this so far, just need the answer to know if im correct
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!