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Scilla [17]
3 years ago
7

Which of the x values are solutions to the inequality 4(2 – x) > –2x – 3(4x + 1)? Check all that apply.

Mathematics
2 answers:
HACTEHA [7]3 years ago
7 0

Answer:

x=0  and  x=10


Step-by-step explanation:

The inequality is given as:  4(2-x)>-2x-3(4x+1)

Using distributive property<em> [ a(b+c)=ab+ac ] </em>and a little algebra, we have:

4(2-x)>-2x-3(4x+1)\\8-4x>-2x-12x-3\\

<em>Taking all the x's to one side and number to another:</em>

-4x+2x+12x>-3-8\\10x>-11\\x>\frac{-11}{10}\\x>-1.1

<em>Now, of the 5 numbers shown, which of them are </em><em>GREATER THAN</em><em> -1.1 ?</em>

They are 0 and 10.

steposvetlana [31]3 years ago
4 0
4(2 - x) > -2x - 3(4x + 1)
8 - 4x > -2x - 12x - 3
-4x + 2x + 12x > -3 - 8
10x > -11
x > -11/10
x > -1.1

Therefore, x = 0 and x = 10 zre solutions to the inequality.
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Which ordered pair is included in the solution set to the following system?
Nataliya [291]

The ordered pair is included in the solution set to the following system is (0,2)

<h3>Set of inequalities</h3>

Given the set of inequalities

y > x2 + 1

y < x2 – x + 1

Equate both expressions to have:

x^2 + 1 = x^2 - x +1

1 = -x + 1

x = 0

Substitute x = 0 into any of the function

y = x^2 + 1

y = 1

This shows that the ordered pair is included in the solution set to the following system is (0,2)

Learn more on inequality here: brainly.com/question/24372553

#SPJ1

7 0
2 years ago
He buys a suit that was on sale for 25%off. He only paid $125.00. What was the original price? What was the amount of the discou
Citrus2011 [14]

Equation  1):

You want to buy something that costs $166.66, and it's on sale for 25% off. What is the item's sale price?

First, convert the 25% to a real mathematical number. For percent's, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.

Second, find out what 25% of $166.66 is. This is the amount of the sale discount. This is always found by multiplying 0.250 by the item's cost $166.66, like this:  

0.250 x $166.66 = $41.67.

So for this sale, you'll save $41.67 on this item.

This means, the cost of the item to you is  

$166.66 - $41.67 = $125.00.

Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).

Now what's 75.000% of the total cost?  

0.750 x $166.66 = $125.00.

Answer =====> Just like the result above, the sale price on the item is $125.00.





Equation 2:)

You want to buy something that costs $125, and it's on sale for 25% off. What is the item's sale price?

First, convert the 25% to a real mathematical number. For percent's, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.

Second, find out what 25% of $125 is. This is the amount of the sale discount. This is always found by multiplying 0.250 by the item's cost $125, like this:  

0.250 x $125 = $31.25.

So for this sale, you'll save $31.25 on this item.

This means, the cost of the item to you is  

$125 - $31.25 = $93.75.  

Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).

Now what's 75.000% of the total cost?

0.750 x $125 = $93.75.

Answer =====> Just like the result above, the sale price on the item is $93.75.




Hope that helps!!!                                                     : )


8 0
3 years ago
The time (t) it takes to clean an office building is directly related to the number of people (p) working. Which of the followin
Inessa [10]

Answer:

The time (t) it takes to clean an office building is <em><u>directly</u></em> <em><u>related</u></em> to the number of people (p) working.

t is proportional to p

t = kp \\  \boxed{\red{\frac{t}{p}  = k}}

3 0
3 years ago
1) Which pair of angles are congruent?
gavmur [86]

Answer:The eight angles will together form four pairs of corresponding angles. Angles 1 and 5 constitutes one of the pairs. Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6.

Step-by-step explanation:

4 0
3 years ago
Which expression is equivalent to108--3?<br> O 5/3)<br> O 63<br> O 73i
Wewaii [24]

Answer:

(A) option

Step-by-step explanation:

becoz according to me when I solved this sum then answer was 5√3

4 0
3 years ago
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