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
Vesna [10]
3 years ago
15

8 less than 2 times a number is greater than the sum of the same number and 9

Mathematics
1 answer:
lyudmila [28]3 years ago
4 0

step-by-step explanation:

every time we see "a number" or "the same number," we can add a variable (we'll use x here).  rewriting the problem, we get: 8 less than 2 times x is gr8er than the sum of  x and 9.  

next, we can work backwards to write an inequality.  we know from the word problem above that the number on the left side of the equation is 8 less than 2x, so we can rewrite that part like this: 2x-8.

for the right side of the equation, all we have to do is simplify "the sum of x and 9" to x + 9.  so now the inequality should look like this: 2x - 8 > x + 9.  

now we'll solve the inequality just like an equation: subtract x from both sides of the inequality, so now we have: x - 8 > 9.

then, we can add 8 to both sides to get the x by itself, and we get the answer: x > 15

hope this helps! <em>:)</em>

You might be interested in
A boy walks 6 km from a point P to a point Q on a bearing of 065. He then walks to a point R at a distance of 13 km on a bearing
Usimov [2.4K]

9514 1404 393

Answer:

  1. see below for a sketch
  2. 12 km

Step-by-step explanation:

The distance can be calculated using the Law of Cosines. The angle internal to the triangle at Q is (180°-(146° -65°)) = 99°. Then the distance PR can be found from ...

  PR² = PQ² +QR² -2·PQ·QR·cos(∠PQR)

  PR² = 6² +10² -2·6·10·cos(99°) ≈ 154.77

  PR ≈ √154.77 ≈ 12.44 . . . . km

The distance PR is about 12 km.

6 0
3 years ago
What is the smallest positive prime factor of 2017^2019 +2019^2017​
kogti [31]

Answer:

17

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The common factor to 18xy and 24 y
vladimir1956 [14]
18xy + 24y = 6y(3x + 8)

The common factor is 6y
6 0
3 years ago
The length of time required for the periodic maintenance of an automobile or another machine usually has a mound-shaped probabil
maks197457 [2]

Solution :

Mean time for an automobile to run a 5000 mile check and service = 1.4 hours

Standard deviation = 0.7 hours

Maximum average service time = 1.6 hours for one automobile

The z - score for 1.6 hours = $\frac{1.6-1.4}{0.7 / \sqrt{50}}$

                                           = 2.02

Now checking a normal curve table the percentage of z score over 2.02 is 0.0217

Therefore the overtime that will have to be worked on only 0.217 or 2.017% of all days.

8 0
3 years ago
What is the least amount of wrapping paper needed to wrap a gift box that measures 8 inches by 8 inches by 10 inches. Explain
frozen [14]

448 square inches.

The surface area of the box is 448 square inches so that is the least amount of paper needed to cover the box.

4 0
3 years ago
Other questions:
  • Write -0.14 as a fraction or mixed number in simplest form
    6·2 answers
  • What is the x-intercept of the line described by the equation?
    11·1 answer
  • An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the stu
    14·2 answers
  • What is 33.54296 rounded to the thousand? PLZ HELP
    13·2 answers
  • PLEASE HELP!!!
    8·1 answer
  • Write an algebra expression to represent each scenario:<br><br> “the sum of 12 and w”
    7·1 answer
  • What is a unit fraction of 4/5
    5·1 answer
  • What is a phrase for 3•n/8
    7·1 answer
  • Of my 135 students, 20% have cowboy boots. How many students wear cowboy boots?
    12·1 answer
  • What is the equation of the line that passes through the point (-2,0) and has a<br> slope of -2?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!