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eimsori [14]
3 years ago
5

From the set {(-2, -5), (0, 10), (5, 8), (8, -3)}, which ordered pairs are a part of the solution set for 5x + 5y > 45?

Mathematics
1 answer:
Anton [14]3 years ago
3 0
Let's go through each of the given points and plug in the coordinates

-----------------------------------------------
Plug in (x,y) = (-2,-5)

5x + 5y > 45
5(-2) + 5(-5) > 45 ... replace x with -2; replace y with -5
-10 - 25 > 45
-35 > 45

The last inequality is false, so (-2,-5) is not in the solution set.

-----------------------------------------------
Plug in (x,y) = (0, 10)

5x + 5y > 45
5*0 + 5*10 > 45
0 + 50 > 45
50 > 45

The last inequality is true so (0,10) is in the solution set
-----------------------------------------------
Plug in (x,y) = (5,8)

5x + 5y > 45
5*5 + 5*8 > 45
25+40 > 45
65 > 45

The last inequality is true so (5,8) is in the solution set
-----------------------------------------------
Plug in (x,y) = (8,-3)

5x + 5y > 45
5*8 + 5*(-3) > 45
40 - 15 > 45
25 > 45

The last inequality is false, so (8,-3) is not in the solution set
-----------------------------------------------
Summary: The points (0, 10) and (5,8) are in the solution set

Check out the attached image to see a visual representation of this. 
Notice how point B and point C are in the red shaded region. 

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The committee is planning to have frozen fruit bars for desert. If frozen fruit bars come in boxes of 12, how many boxes of froz
lesya [120]

Answer:

Kindly check explanation

Step-by-step explanation:

Based on the infomation given :

Number of frozen fruit per box = 12

The number of people the makes up the committee should be given on other to obtain an exact answer.

To obtain the number of boxes of frozen fruits :

We divide the Number of committee members by the number of frozen fruits per box ; that is

1f number of committee members = x

Number of frozen fruits per box = 12

Number of boxes to order = x / 12

If number of committee members is given, substitute the number for X

7 0
2 years ago
Can u please help to warn: No links or I will report thank you, and have a blessed day!!
aleksandr82 [10.1K]

Answer:

1.) 1/4

2.) 5/12 i am not sure about this one

Step-by-step explanation:

1.) Chance of tales:

Chance of even number: 3/6 or 1/2

Multiply: (1/2)(1/2) = 1/4

7 0
2 years ago
What is the y-intercept of the line with a slope of − 1/4 that passes through the point (−2, −9/2 )?
svlad2 [7]
-9/2 = -1/4(-2)+ b

-9/2 = 1/2 + b
Minus 1/2 over

B= -5

Hope this helps!
4 0
3 years ago
Read 2 more answers
What two products do you get when you cross-multiply the fractions 2/5 and 3/8?
jarptica [38.1K]
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explanation:
4 0
3 years ago
What is 247,039 rounded to the nearest thousand
DerKrebs [107]
<span><u><em>Answer:</em></u>
247,000

<u><em>Explanation:</em></u>
To round a number to the nearest thousand, we check the digit in the <u>hundreds position</u>:
1- If the digit is <u>less than 5</u>, then we round down. This means that we simply convert all digits after the thousands to zero and that's it
2- If the digit is <u>equal to or more than 5</u>, then we round up. This means that we add one to the thousands digit and then convert all digits after the thousands to zero.

In the given number 247039, the number in the hundreds position is 0. This means that we will <u>round down
</u>
Therefore, 246039 rounded to the nearest thousand would simply give 247000

Hope this helps :)</span>
6 0
2 years ago
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