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
Thepotemich [5.8K]
3 years ago
14

Solve for x. −4≤11−3x Enter your answer as an inequality in the box.

Mathematics
1 answer:
Mamont248 [21]3 years ago
6 0

Answer:

x\leq 5

Step-by-step explanation:

  • the given expression is : −4≤11−3x
  • we use following operations to solve the inequality:
  • by adding 4 on both sides, the inequality will become :

-4+4 ≤ 11-3x +4

0 ≤ 15 -3x

  • adding 3x on both sides, the inequality will become:

3x ≤ 15

  • dividing both the sides of the inequality by 3, the inequality will become:

3x/3 ≤ 15/3

x ≤ 5                  ( since, 15/3 = 5)

  • therefore the solution for x as an inequality will be x ≤ 5
You might be interested in
Look at the picture below .thx
SVEN [57.7K]
There is no picture showing...
5 0
2 years ago
A school has 1800 students and 1800 light bulbs, each with a pull cord and all in a row. All the lights start out off. The first
Gnom [1K]

<u>Solution-</u>

A school has 1800 students and 1800 light bulbs, each with a pull cord and all in a row.

As all the lights start out off, in the first pass all bulbs will be turned on.

In the second pass all the multiples of 2 will be off and rest will be turned on.

In the third pass all the multiples of 3 will be off, but the common multiple of 2 and 3 will be on along with the rest. i.e all the multiples of 6 will be turned on along with the rest.

In the fourth pass 4th light bulb will be turned on and so does all the multiples of 4.

But, in the sixth pass the 6th light bulb will be turned off as it was on after the third pass.

This pattern can observed that when a number has odd number of factors then only it can stay on till the last pass.

1 = 1

2 = 1, 2

3 = 1, 3

<u>4 = 1, 2, 4</u>

5 = 1, 5

6 = 1, 2, 3, 6

7 = 1, 7

8 = 1, 2, 4, 8

9 = 1, 3, 9

10 = 1, 2, 5, 10

11 = 1, 11

12 = 1, 2, 3, 4, 6, 12

13 = 1, 13

14 = 1, 2, 7, 14

15 = 1, 3, 5, 15

16 = 1, 2, 4, 8, 16

so on.....

The numbers who have odd number of factors are the perfect squares.

So calculating the number of perfect squares upto 1800 will give the number of light bulbs that will stay on.

As,  \sqrt{1800} =42.42  , so 42 perfect squared numbers are there which are less than 1800.

∴ 42 light bulbs will end up in the on position. And there position is given in the attached table.

7 0
2 years ago
A runner is 5/6 mile from the finish line. If he can travel 3/6 mile per minute, how long will it take them to finish the race?
lianna [129]

Answer:

5/3min

Step-by-step explanation:

Yo only have to divide 5/6 miles by 3/6 mile/min to know the time it will take to cover a distance given a velocity.

5*6=30

6*3=18

30/18 = 5/3min!!

5 0
3 years ago
1.2.71
egoroff_w [7]

Answer:

Step-by-step explanation:

Set up an equation, where x is the number of gallons of 60% antifreeze solution.

Represent the percentages of antifreeze with decimal values.

0.6x + 0.3(80) = 0.5(x + 80)

Simplify and solve for x:

0.6x + 24 = 0.5x + 40

0.1x = 16

x = 160

So, you have to mix 160 gallons of a 60% antifreeze solution

6 0
2 years ago
Distance between orlando and jacksonville
mart [117]
2 hours and 4 mins or you can say 140.6 miles
7 0
3 years ago
Read 2 more answers
Other questions:
  • A bag of peanuts serves about four people. If you want to have enough bags for 23 people, what is the minimum number of bags you
    13·2 answers
  • What is the fraction 1/6 of 100
    14·1 answer
  • Can someone help me with this simple math problem, you can easily get points if you know the answer correctly. Also I will mark
    6·2 answers
  • Multiply and divide. product or quotient
    11·2 answers
  • A cup of raw Arborio rice weighs 7 ounces. One cup will serve 1 people. Arborio rice is purchased in 2-pound boxes for $1.99. Ho
    8·1 answer
  • Can the side of a triangle have lengths 2,8,9?
    12·1 answer
  • Find the mean. Round to the nearest tenth if necessary.
    10·2 answers
  • Steve studies math for 7/8 of an hour and history for 2/3 of an hour. How many hours did he study?
    15·1 answer
  • At short company has initial costs of $800 per month and it costs them $1.50 per shirt. Let y represent the cost to run the comp
    9·1 answer
  • She dhb shush’s heheh she he Use n n I g me en
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!