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
Bingel [31]
3 years ago
14

Solve 4.5(8-x)+36=102-2.5(3x+24) show each step

Mathematics
1 answer:
masha68 [24]3 years ago
3 0
X = -10
work: 
1. <span>4.5(8-x) + 36 = 102 - 2.5(3x+24)
2.</span>4.5(8-x) * 10 + 36 *10 = 102 * 10 - 2.5(3x + 24) * 10
3. 45(8 - x) + 360 = 1020 - 25(3x + 24)
4. -45x + 720 = -75x + 420
5. -45x + 720 - 720 = -75x + 420 - 720
6. -45x = -75x - 300
7. -45x + 75x = -75x - 300 + 75x
8. 30x = -300
9. 30x/30= -300/30
SIMPLIFY = x = -10
You might be interested in
4. Sandra has 35% of the money she needs. She has $105. How much more money does she need? Write the equation and solve.​
guajiro [1.7K]

Answer:

36.75

Step-by-step explanation:

First is turn the percent into a decimal which would be 0.35.

Then multiply 0.35 with 105

Finally this would equal to 36.75

Note: Hope I got it right, if I didn't I am very sorry this is all I can really do. If I did get it wrong please comment and I'll try again.

5 0
2 years ago
Help me simplify this question for me
Gnoma [55]
The answer is y= -4/7x+2

explanation
1. subtract 4x from both sides
2. divide every term by 7
4 0
3 years ago
Read 2 more answers
What is the range of the data? 2,8,7,8,6,15,6,3,8
creativ13 [48]

Answer:

13

Step-by-step explanation:

The range of a data set is the difference between the greatest and least values in the set. In this case, the greatest value is 15 and the least value is 2 so the range is 15 - 2 = 13.

4 0
3 years ago
What is the inequality for 14-3x&lt;-1
Maksim231197 [3]

Answer:

x > 5

Step-by-step explanation:

14 - 3x < -1

-3x < -15

x > 5

5 0
3 years ago
Find the value of c so that (x+2) is a factor of the polynomial<br><br> p(x)=3x^4-x^2+cx-2
DedPeter [7]
Using polynomial long division, we get
         
         3x^3+6x^2+11x
         _____________
(x+2) | 3x^4-x^2+cx-2
          -(3x^4+6x^3)
          ____________
             6x^3-x^2+cx-2
          - (6x^3+12x^2)
         _____________
        11x^2+cx-2
      -(11x^2+22x) 
       __________
        (22+c)x-2. 

If you're wondering how I did the long division, what I essentially did was get the first value (at the start, it was 3x^4) and divided it by the first value of the divisor (which in x+2 was x) to get 3x^3 in our example. I then subtracted the polynomial by the whole divisor multiplied by, for example, 3x^3 and repeated the process.

For this to be a perfect factor, (x+2)*something must be equal to (22+c)x-2. Focusing on how to cancel out the 2, we have to add 2 to it. To add 2 to it, we have to multiply (x+2) by 1. However, there's a catch, which is that we subtract whatever we multiply (x+2) by, so we have to multiply it by -1 instead. We still need to cross out (22+c)x. Multiplying (x+2) by -1, we get
(-x-2) but by subtracting the whole thing from something means that we have to add -(-x-2)=x+2 to something to get 0. x+2-x-2=0, xo (22+c)x-2 must equal -x-2, meaning that (22+c)=-1 and c=-23
4 0
3 years ago
Other questions:
  • Need help with numbers 39 through 42
    14·1 answer
  • Carnegie Learning, Inc
    6·1 answer
  • Sandy has 16 roses,8daisies,and32 tulips.She wants to arrangee all the flowers in bouguets.Each bouguet has the same number of f
    15·1 answer
  • -1/3x-2/3y=5/3 the slope and y intercept
    12·1 answer
  • David uses 2/3 yard of cloth to make a bag .which amounts are equivalent to 2/3 yard
    9·1 answer
  • How to solve v<br> 43.27×1.68
    11·1 answer
  • ∠x and ∠y are supplementary angles. ∠y Measures 116੦. What is the measure of ∠x?
    12·1 answer
  • A plot of land is shaped like a quadrilateral. Fences are built on the diagonal to divide the area into 4 sections. What is VI t
    9·1 answer
  • Is (1, 2) solution for this system of inequalities ?
    11·1 answer
  • DO IT ASAP! Thank you very much!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!