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laila [671]
3 years ago
14

Is the ordered pair (4,-3) a solution for the following system of linear inequalities?

Mathematics
1 answer:
Sergio039 [100]3 years ago
3 0

Answer:

no

Step-by-step explanation:

(4, -3) when plugged into the inequality x + y < 1 is not true

4 + (-3) < 1 is not true because 1 is not less than 1

You might be interested in
You want to estimate the number of students in your middle school school who buy school lunch. Which sample is unbiased?
Nezavi [6.7K]
A biased example: Asking students who are in line to buy lunch 

An unbiased example: Asking students who are leaving/going to lunch(<em>NOT buying </em><em>lunch</em><em />).

But in this case, the answer choices can be... confusing.
Don't panic! You're given numbers and, of course, your use of logic.

Answer choice A: 100 students grades 6-8
Answer choice B: 20-30 students any <em>one</em> grade<em></em><em>
</em>Answer choice C: 5 students
<em></em>Answer choice D: 50 students grade 8

An unbiased example would be to choose students from <em>any grade.</em> So we can eliminate choices B and D.

Now, the question wants to <em>estimate how many people at your middle school buy lunch.</em> This includes the whole entire school, and if you are going to be asking people, you aren't just going to assume that if 5 people out of 5 people you asked bought lunch, the whole school buys lunch.

So, to eliminate all bias and/or error by prediction, answer choice A, the most number of students, is your answer.

6 0
3 years ago
Anita purchased a couch that was priced at $700. She will also have to pay 6% sales tax. How much will she pay in total for the
Zolol [24]

Answer:

$742

Step-by-step explanation:

To solve this, you need to figure out what 6% of 700 dollars is and then add that to 700. The easiest way to find the percentage of a number is to set it up in the equation:

6/100 = x/700  where 6 is the percentage of 700 (out of 100 because you can only get up to 100 percent in this case) and x is 6 percent of 700. when you cross multiply, you get 100x = 4200. Then you divide both sides by 100 to get x by itself. This will give you x = 42 Add this to 700 for 742 as the total amount that will be paid. Sorry if this first half was a little confusing

6 0
3 years ago
Can I get help with this problem?
grandymaker [24]

Answer:

Step-by-step explanation:

It's 2.3 as the centre of a circle is twice the circumference learn the circle theorem

4 0
3 years ago
Read 2 more answers
To avoid distortion of extreme values, a good indicator would be the A. mean. B. weighted-mean. C. mode. D. median
Verizon [17]

To avoid distortion of extreme values, a good indicator would be the


B. median.


8 0
4 years ago
Read 2 more answers
Find x and y in the figure​
Grace [21]

Answer:

x=10, y=25

Step-by-step explanation:

First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as

4y + (2y+3x) = 180

6y+3x = 180

Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as

4y + 2y + (5x-20) = 180

6y + 5x -20  =180

Our two equations are thus

6y + 5x - 20 = 180

6y + 3x = 180

If we subtract 6y from both sides in each equation, we can say

5x - 20 = 180-6y

3x = 180-6y

Therefore, we can write

5x-20 = 180-5y = 3x

5x-20=3x

subtract 3x from both sides to make all x variables on the same side

2x-20 = 0

add 20 to both sides to isolate the x and its coefficient

2x = 20

divide both sides by 2 to isolate x

x = 10

Therefore,

x = 10

6y + 3x = 180

6y + 30 = 180

subtract 30 from both sides to isolate the y and its coefficient

6y = 150

y = 25

5 0
3 years ago
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