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
denis23 [38]
3 years ago
13

From the set {6, 16, 24}, use substitution to determine which value of x makes the inequality true. 4 + x < 20 A. 16 B. 6 C.

none of these D. 24
Mathematics
1 answer:
o-na [289]3 years ago
6 0
<h3>Answer: B. 6</h3>

================================================

Explanation:

In math, the term "substitution" basically means "replace". Keep in mind that x is a placeholder for a number. Think of it as a box we place a number inside.

We have the items {6, 16, 24} to use as replacements for x. We only do one number at a time

Let's try x = 6

4 + x < 20

4 + 6 < 20 ... replace x with 6

10 < 20 ... this is a true statement as 10 is less than 20

So x = 6 is a solution

Let's try x = 16

4+x < 20

4+16 < 20

20 < 20 ... this is false because we can't have a number smaller than itself

Lastly, let's try x = 24

4+x < 20

4+24 < 20

28 < 20 ... also false; 28 is not smaller than 20

We've shown that x = 16 and x = 24 are not solutions. Only x = 6 is a solution from the set {6,16,24}. This is why the answer is choice B.

-----------------

Alternative method:

4+x is the same as x+4. We can add two numbers in any order we want.

x+4 < 20 solves to x < 16 after subtracting 4 from both sides. So the set of solutions is anything smaller than 16. Looking at {6,16,24} we see that the only allowed answer is x = 6.

x = 16 is not a solution because x < 16 would turn into 16 < 16, but again we can't have a number smaller than itself.

You might be interested in
Write the number 33×10^-3 in scientific notation​
cluponka [151]

Answer:

Step-by-step explanation:

33×10^-3 is equivalent to 33/1000, or 0.033.

This, in turn, is equivalent to 3.3×10^(-2) (which is in scientific notation)

4 0
3 years ago
Hi can someone help me out with this problem.
elena-s [515]

Answer:

third side = 9

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x, then

x² + 40² = 41², that is

x² + 1600 = 1681 ( subtract 1600 from both sides )

x² = 81 ( take the square root of both sides )

x = \sqrt{81} = 9

The third side is 9

3 0
3 years ago
Read 2 more answers
Given: f(x)=x^(2)-3 and g(x)=x+1 the composite function g*f is
Ivenika [448]

Answer:

<h2>x³ + x² - 3x - 3</h2>

Step-by-step explanation:

I'm assuming g*f means g times f,  so you want to multiply the two functions together.  

(x² - 3)(x + 1)                 Since the product is 2 binomials, use FOIL

                      =  x²(x) + x²(1) - 3(x) - 3(1)

which simplifies to

<h2>x³ + x² - 3x - 3</h2>
8 0
3 years ago
Read 2 more answers
If the number of hours you hours you work is proportional to the amount of money you earn per hour, which og tye following state
Basile [38]

Answer:

it should be a

Step-by-step explanation:

if you work for $10 an hour, and work for 2 hours, you make $20 but if you double the hours worked, so 4 hours, you make $40, which is double the hours, and double the money

3 0
2 years ago
Please answer :) <br><br> ( Will give brainlst)
Zanzabum

Step-by-step explanation:

6. 7. 13

18. 10. 28

24. 17. 41

7 0
3 years ago
Other questions:
  • 0.7 of what number is 4 1/2?​
    9·1 answer
  • the area of the region bounded by the curve y=e^2x the x axis the y axis and the line x=2 is equal toA) e^4/2 -e B) e^4/2 - 1 C)
    12·1 answer
  • Please help me with this math problem, urgent please
    13·2 answers
  • What is f(5) for f(x)=4x^2-5x+2?<br> A)-24<br> B)77<br> C)127<br> D)150
    9·2 answers
  • A student noticed that the average diameter of the glass beads used for the mass measurements was significantly smaller than tho
    9·1 answer
  • Follow the rule to find the next three numbers in pattern . describe the pattern using the terms even and odd. add 5: 1, 6, 11
    7·1 answer
  • A sphere has a diameter of 0.926 inch.
    11·1 answer
  • Write an equation for the line of fit for this data in form of y=mx+b. Where x is latitude and y is temperature
    7·1 answer
  • HELP PLEASE!! IS A TEST
    10·1 answer
  • Consider the sets A = {4,6,8} and B = {4,5,6} Find Ax B (b) Find the power set AB)​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!