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
adoni [48]
4 years ago
12

5x - 47< 3(12x - 108) – 2​

Mathematics
1 answer:
TEA [102]4 years ago
8 0

Answer:

9 < x

Step-by-step explanation:

5x - 47< 3(12x - 108) – 2​

Distribute

5x - 47< 36x - 324 – 2​

Combine like terms

5x - 47< 36x-326

Subtract 5x from each side

5x-5x - 47< 36x-5x-326

- 47< 31x-326

Add 326 to each side

326 - 47< 31x-326+326

279 < 31x

Divide by 31 on each side

279/31 < 31x/31

9 < x

You might be interested in
A company that builds homes advertises that by choosing from its upgrade options each of its new homes is available In 256 diffe
lutik1710 [3]

Solution:

Let number of upgrade options = p

Let total number of distinct variations in which 256 new homes is available = k

So, p × p× p.....k times = 256

⇒p^k= 256

256= 2  × 2 ×2 ×2 ×2 ×2 ×2 ×2= 2^6

256= 4  ×4  ×4  × 4=4^4

So,Either, number of upgrade options = 2 ,

Or , Number of upgrade options = 4

3 0
3 years ago
Fabric length: 3 7/8 yd.
RUDIKE [14]
3 x $9.25 = 27.75
4/8 = 9.25/2 = 4.6 so 27.75+ 4.6 equals 32.37 (so I’ve only done 4/8 so far but it states it’s 7/8 so we’re gonna go ahead and add 2/8 of it more so that it’s 6/8) therefore we know 4/8 is 4.6 we’ll divide that by 2 to get 2/8 and that would be 2.3 so 32.37 + 2.3 equals 34.67 Nd we do the same again with the remainder additional 1/8 since we know 2/8 is 2.3 then we divide it by two that would 1.15 so 34.67+ 1.15 equals 35.81 and the closest answer is D
6 0
3 years ago
Read 2 more answers
What is the factor of k2 + k - 42
marin [14]

Answer:

(k + 7) • (k - 6)

Step-by-step explanation:

Final result :

 (k + 7) • (k - 6)

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "k2"   was replaced by   "k^2".

Step by step solution :

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  k2+k-42

The first term is,  k2  its coefficient is  1 .

The middle term is,  +k  its coefficient is  1 .

The last term, "the constant", is  -42

Step-1 : Multiply the coefficient of the first term by the constant   1 • -42 = -42

Step-2 : Find two factors of  -42  whose sum equals the coefficient of the middle term, which is   1 .

     -42    +    1    =    -41

     -21    +    2    =    -19

     -14    +    3    =    -11

     -7    +    6    =    -1

     -6    +    7    =    1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -6  and  7

                    k2 - 6k + 7k - 42

Step-4 : Add up the first 2 terms, pulling out like factors :

                   k • (k-6)

             Add up the last 2 terms, pulling out common factors :

                   7 • (k-6)

Step-5 : Add up the four terms of step 4 :

                   (k+7)  •  (k-6)

            Which is the desired factorization

Final result :

 (k + 7) • (k - 6)

6 0
3 years ago
Enter the number that goes beneath the radical symbol
Lunna [17]

Answer:

185

Step-by-step explanation:

It seems like you're using the Pythagorean theorem, which would mean that b is equal to \sqrt{11^2 -8^2}, which is equal to \sqrt{185}. The number beneath the radical symbol is <u><em>185</em></u>.

3 0
3 years ago
An office building casts a shadow that is 55 m long. At the exact same time, a 5 m tree casts a shadow that is 1.1 m long. Use s
kotegsom [21]

The ratio of the triangle is 55/1.1, which is 50/1.

This means that the building is 50/1 = x/5

x = 250

The office building is 250 m tall.


6 0
3 years ago
Other questions:
  • HELP ASAP Which list is in order from least to greatest
    13·2 answers
  • What would the second point be with point (-2,-5) to get a line with the slope of -1
    14·1 answer
  • Which expression is equivalent to 2w?
    12·1 answer
  • Find the derivative of f(x) = e^x^2
    14·1 answer
  • What are all the properties of math ?
    11·1 answer
  • Given that 1 pound = 16 ounces, convert 48 ounces to pounds.
    6·2 answers
  • Which trig expression is equal to sin (72° - a)?
    6·2 answers
  • tom determines the system of equations below has two solutions, one of which is located at the vertex of the parabola. equation
    10·1 answer
  • Can the following question be considered a statistical question and why or why not?
    14·2 answers
  • -2(3z+8) = 1/3(9-18z)
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!