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
Kitty [74]
3 years ago
9

What is the answer to this?

Mathematics
1 answer:
azamat3 years ago
3 0
We must solve for x by simplifying both sides of the equation, then isolating the variable: 

1/2(x - 2) <span>≤ 1
</span>1/2x - 1 <span>≤ 1
</span>1/2x - 1 + 1 <span>≤ 1 + 1
</span>1/2x / 1/2 ≤ 2 / 1/2
x <span>≤ 4</span>

To prove this, enter 4 or any number smaller than 5 into the equation and solve to see if the statement still stands true.



You might be interested in
A linear equation in two variables has infinitely many solution the set of all solutions to a linear equation in two variables f
Greeley [361]
<span>1, During a 1-hr television program, there were 22 commercials, Some commercials were 15 sec and some were 30 sec long. Find the number of 15- sec commercials and the number of 30 sec commercial if the total playing time for commercial was 9.5 minutes.

</span>a) <span>show how to formulate your system of equations for your problem,

Answer:
- state the variables: x number of 15 sec commercials, y number of 30 sec commercials
- translate the word statement into algebraic language

b) state the two equations:

- translate the word statement into algebraic equations:

</span><span>* there were 22 commercials => x + y = 22
* the total playing time for commercial was 9.5 minutes => 15x + 30y = 9.5*60 </span><span>

Answer:
Equation (1) x + y = 22
Equation (2) 15x + 30y =  570

c) state which method you will use to solve either addition or substitution

Answer:
adition: multiply the first equation times - 15 and add the two equations.

d) solve your system showing and explaining each step of the process

Answer:
- muliply eq (1) times - 15

-15x - 15y = - 330

- add that to the eq (2):

-15x + 15x - 15y + 30y = -330 + 570

- add like terms: 15y = 240

- divide both members by 15: 15y/15 = 240 / 15 => y = 16

- replace y = 16 in eq I(1) => x + 16 = 22 => x = 22 - 16 = 6

Solution: x = 6, y = 16

e) Be sure to check your solution!

x + y = 22
6 + 16 = 22
22 = 22 --> check

15x + 30y = 9.5*60
15(6) + 30(16) = 570
90 + 480 = 570
570 = 570 ---> check

f) Once a solution is found explain what this solution means in the context of the problem, write the answer to the word problem in words</span><span>

The solution means that d</span><span>uring a 1-hr television program, there were</span><span> 6 commercials of 15 sec and 16 commercials of 30 sec.

2, How many quarts of water should be mixed with a 30% vinegar solution to obtain 12 qt of a 25% vinegar solution. (Hint: water is 0% vinegar).</span>

a) variables:

- state the variables
x: number of quarters of water
y: number of quarters of vinegar

- translate the words into mathematical language

12 qt 25% vinegar solution

=> total number of quarts = 12 = x + y

balance in vinegar:

vinegar from water + vinegar from 30% vinegar solution = vinegar in the 25% vinegar solution

0 + 0.3y = 0.25 (x + y)

c) Equations

Eq (1) x + y = 12

Eq (2): 0.3y = 0.25x + 0.25y

=> 0.25x - 0.05y = 0

d) solve

- multiply eq (1) times 0.05 and add to eq (2)

0.05x + 0.05y = 0.6
0.25x - 0.05y = 0
------------------------
0.30x = 0.6

x = 0.6 / 0.3 = 2

x + y = 12 => y = 12 - y = 12 - 2 = 10

Solution: x = 2, y = 10

e) check:

x + y = 12
2 qt + 10qt = 12 qt
12 qt = 12 qt ---> check

vinegar:

10*0.3 = 12*0.25
3 = 3 -> check

f) Explanation of the solution

The solution means that you have to mix 2 qts of water with 10 qts of 30% vinegar solution to obtain 12 qt of 25% vinegar solution.

5 0
3 years ago
A train has 6 passenger cars and each car has 4 columns of seats and each column holds 50 passengers. If one of the cars has 25
Tema [17]
Given:
The train has 6 passenger cars
Each car has 4 columns
And 1 column hold 50 passengers

So, total of seats will be = 6 * 4 * 50 = 1200

Now, there are 25 empty seats, 

therefore the correct equation will be : 

Number of seats per car: 4 × 50 = 200

Total number of seats: 200 × 6 = 1,200

Number of passengers: 1,200 − 25 = p




6 0
3 years ago
What is 4 2/7 as an improper fraction?<br> HURRYYYYYYY
Alika [10]

Answer: C. 30/7

Step-by-step explanation: To make an improper fraction out of a mixed one we have to multiply the denominator by the whole number (in this case is 4) and then add the numerator. So 7 x 4 = 28 + 2 = 30, so 30/7 would be the correct answer choice.

Hope this helps!

7 0
2 years ago
Write the coordinates of a point whose Abcissa is -7 and ordinate is -2​
Ksivusya [100]

Answer:

Abcissa = X, and Ordinate = Y

(-7,-2)

Is the answer

8 0
2 years ago
Center ( 9,-8 ), passes through ( 19,22 )
katovenus [111]
Center at (h,k) and radius r is
(x-h)²+(y-k)²=r²

so given
center at (9,-8)

(x-9)²+(y-(-8))²=r²
(x-9)²+(y+8)²=r²

input the point (19,22) to find r²
x=19 and y=22
(19-9)²+(22+8)²=r²
10²+30²=r²
100+900=r²
1000=r²
10√10=r

well, the equation is
(x-9)²+(y+8)²=1000
6 0
3 years ago
Other questions:
  • (cos x - (sqrt 2)/2)(sec x -1)=0
    5·2 answers
  • 4 red marbles, 6 blue marbles, and 9 yellow marbles. what is the ratio of red marbles to blue marbles
    7·2 answers
  • Twenty identical looking packets of white power are such that 15 contain cocaine and 5 do not. Four packets were randomly select
    14·1 answer
  • Real numbers that you cannot represent as a quotient of two integers are ? numbers
    15·2 answers
  • if the recycling club collected 48 aluminum cans 3/4 of the cans was from 6th grade was 1/6 was from 7 grade and the rest was fr
    12·1 answer
  • How many times can 49 go into 410?
    15·2 answers
  • In a race, 27 out of the 50 bicyclists finished in less than 47 minutes. What percent of bicyclists
    9·1 answer
  • Why is 3/2 equal to 3/4
    15·2 answers
  • In a class full of men and women,
    11·1 answer
  • HELP ASAP PLS!<br> Graph the inequality below on the number line.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!