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AURORKA [14]
3 years ago
15

Help with this one!!

Mathematics
1 answer:
konstantin123 [22]3 years ago
7 0
-(2.71) goes with 2.71

2.71 goes with -2.71

-(-2.71) goes with 2.71
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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.
o-na [289]
<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.

6 0
3 years ago
PLS HELP ASAP WILL GIVE BRAINLIEST
JulsSmile [24]
This is for A part A: It shows that the least amount is 37.5 minutes

It shows the most amount of time is 60 minutes

One thing it does not show is how many students where in the class.
3 0
3 years ago
suppose a printer can print 15/4 pages in 5/6 of a minute. which TWO statements are correct? A. the unit rate is 9/2 pages per m
Verizon [17]

Answer:

9/2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A cleaning company charges a fixed amount for a house call and a second amount for each room it cleans. The total cost to clean
yanalaym [24]

Answer:

$110

Step-by-step explanation:

Let the fixed amount charged be f and the amount charged to clean a room be r.

To clean six rooms , the company would charge the following, the fixed amount for the call plus the amount charged per room multiplied by 6 which of course is 6r.

Writing this in equation form,

f + 6r = 250

In likewise manner, same applies for 8 rooms.

this gives f + 8r = 320

We now have 2 equations that we will need to solve simultaneously

f + 6r = 250........(i)

f + 8r = 320........(ii)

We subtract equation ii from I to yield

2r = 70, hence r = 70/2 = 35.

We now substitute this in equation 1

f + 6(35) = 250

f + 210 = 250

f = 250 - 210 = 40

Hence, we now know that the amount charged per call is $40 while the amount charged to clean a room is $35.

We now calculate the amount charged by the company to clean 2 rooms.

This is mathematically = f + 2r

40 + 2(35) = $110.

6 0
3 years ago
Write the algebraic expression for : half as much as a number, increased by 5
VladimirAG [237]

Answer:

(n/2)+5

Step-by-step explanation:

With n representing the unknown number, to get half of that number, divide the number by 2. n/2. Then, increase that quotient by 5.

(n/2)+5

3 0
3 years ago
Read 2 more answers
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