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sasho [114]
3 years ago
8

The system of equations shown below is graphed on a coordinate grid:

Mathematics
2 answers:
konstantin123 [22]3 years ago
8 0

Your answer would be the first option, (-2, 2).

We can solve this system of equations by adding them together, as the +x and -x will cancel:

3y + x = 4

+2y - x = 6

5y = 10

y = 2

Now we can find the x value by substituting the y value into one of the equations:

3(2) + x = 4

6 + x = 4

x = -2

Therefore your answer is (-2, 2). We know that it is the first option and not the last option because the point (-2, 2) does lie on both lines as it satisfies both equations when substituted in.

I hope this helps!

ankoles [38]3 years ago
5 0

Answer:

A) (-2,2) lies on both lines

Step-by-step explanation:

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01:49:1
Keith_Richards [23]

Answer:

The correct option is C:

C) The representative sample contained more girls than boys.

Step-by-step explanation:

It is given that a random sample is chosen from a total students of 160 students. The sample can be of 10,15 or any small numbers of students as compared to 160. However, a sample cannot be of 160 students as it is defined as a population in this case.

A random sample is always unbiased. Which means that the sample chosen should have around the same proportion of girls to boys as it is in the population of 160.

We know that:

Total boys in 160 = 65

Total girls in 160 = 95

Proportion of girls to boys = 95/65 = 1.462

Which means that for every 1 boy, there are 1.462 of girls.

The same ratio is held in a random sample, hence the total number of girls will be greater than boys

6 0
3 years ago
Please help!!
grigory [225]

Answer: 21 weeks

Explanation: Because 25 times 20 is 500 then add 25 more and it is 21 weeks. Which equals 1,400.00.

5 0
3 years ago
Read 2 more answers
Solve equation<br>8-3(p-4)=2p
LenKa [72]

Answer:

ok the answer is: p=-4

Step-by-step explanation:

First you distribute 3 times p-4 and get  8-3p+12=2p then you add 12 plus 8 and get 20 then you have 20-3p=2p you have to add 3p on both sides and you get 20= -5p you divide and get p= -4

6 0
3 years ago
after riding the stationary bike for just 8 minutes, betty had burned 50 calories. how long must she ride if she wants to burn 3
Lyrx [107]

Answer:

52 minutes.

Step-by-step explanation:


4 0
3 years ago
Tiana has already taken 1 page of notes on her own, and she will take 1 page during each hour of class. In all, how many hours w
Novosadov [1.4K]

Answer:

<u>42 Hours.</u>

Step-by-step explanation:

As an equation where y is the total pages and x is hours of class:

y=1+1x since she started with 1 page and does 1 page per hour.

Setting the total pages she needs as 43 (y=43) we get:

43=1+1x

Subtract one on both sides

42=1x

The 1 doesn't need to be written so

x=42

Therefore, it'll take her 42 hours to write all those notes.

4 0
3 years ago
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