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
EleoNora [17]
3 years ago
10

Diego is solving the inequality 100 − 3x ≥ -50. He solves the equation 100 − 3x = -50 and gets x = 50. What is the solution to t

he inequality?
Mathematics
2 answers:
ZanzabumX [31]3 years ago
7 0

Answer:

x≤50

Step-by-step explanation:

100-3x≥-50

subtracting 100 at both side on inequality

-100+100-3x≥--50-100

-3x≥-150

Dividing both sides by 3

-3x/3≥-150/3

-x≥--50

Adding 50 on both sides

-x+50≥-50+50

-x+50≥0

Adding x on both sides

-x+x+50≥0+x

50≥x

so,

x≤50

ollegr [7]3 years ago
3 0

Answer:

  x ≤ 50

Step-by-step explanation:

Since the original inequality includes the "or equal to" case, we know that x=50 is part of the solution set. The trick is to figure out whether the solution set includes values more than 50, or less than 50.

There are a couple of ways to check this:

  1. try a value of x other than 50 and see if the inequality is satisfied. It is usually convenient to use x=0. Here, that would give 100 -0 ≥ -50, a true statement. So, we now know that solution values are less than or equal to 50: x ≤ 50.
  2. Multiply the inequality by -1, or add 3x, so that the coefficient of x is positive. The direction of the comparison symbol for that case will tell you the direction of the comparison symbol in the answer. Here, multiplying by -1 gives -100 +3x ≤ 50, so we know x ≤ 50. If we add 3x instead, we see that 100 ≥ 3x -50, so we know 50 ≥ x.
You might be interested in
HELP ASAP!!!! GEOMETRY CIRCLES 10TH GRADE
Elina [12.6K]

Answer:

m<KJL= 32°

m<JIK = 63°

Step-by-step explanation:

Hopefully this will make up for my wrong answer.

3 0
2 years ago
Express 4% as a ratio strength. <br> a. 1 : 100 <br> b. 4 : 100 <br> c. 1 : 50 <br> d. 1 : 25
sergey [27]
The answer for what the ratio is for 4% is 4:100
8 0
3 years ago
What is (5.03x -8.03) - (3.5x +6.2)?
Kryger [21]

Answer:

1.53x−14.23

Step-by-step explanation:

<em>simplify: </em>

5.03x−8.03−(3.5x+6.2)

<em>Distribute the Negative Sign:</em>

=5.03x−8.03−1(3.5x+6.2)

=5.03x−8.03−1(3.5x)+(−1)(6.2)

=5.03x−8.03−3.5x−6.2

<em>Combine Like Terms:</em>

=5.03x−8.03+−3.5x−6.2

=(5.03x−3.5x)+(−8.03−6.2)

=1.53x−14.23

4 0
2 years ago
Read 2 more answers
Can you help me figure this out please
Anna007 [38]

Answer:

C & D  

Step-by-step explanation:

4 0
3 years ago
What is the area of 4 10 20
Gnoma [55]
Just multiply the base times height times width which would give you 800
5 0
3 years ago
Other questions:
  • Two quantities are related, as shown in the table:
    13·1 answer
  • INTEGERS
    10·2 answers
  • 13 13 13 13 = 43. Which multiplication expression shows another way to make 43?
    6·1 answer
  • $3000 at 4% p.a. for 2 years
    13·2 answers
  • HELP ASAP
    6·1 answer
  • What is 5x-(x-2)&gt;2x-4(x-8)
    11·1 answer
  • A school basketball team has an expense account and a fundraising account. After t weeks, the balance of the expense account is
    8·1 answer
  • Work out radius of 1.43 x 10^5
    10·1 answer
  • The segments shown below could form a triangle.<br> A. True <br> B.false
    11·2 answers
  • 4.00 kg rock is rolling 10.0 m/s. Find its kinetic energy.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!