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Anon25 [30]
3 years ago
12

Can someone help me with these questions please?

Mathematics
1 answer:
kotykmax [81]3 years ago
3 0

Step-by-step explanation:

You can solve systems of equations using either substitution or elimination.  For these problems, I recommend elimination.  I'll do the first one as an example.

-3x + 16y = 9

-4x + 8y = 12

Multiply the second equation by -2.

8x − 16y = -24

Add to the first equation (notice the y's cancel out).

(-3x + 16y) + (8x − 16y) = 9 − 24

5x = -15

Solve for x.

x = -3

Now you can plug this into either equation to find y.

-3(-3) + 16y = 9

9 + 16y = 9

y = 0

The solution is (-3, 0).

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A student scored in the 60th percentile on her math exam. What does this student's score mean in relation to those of the other
Andrei [34K]

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The correct option is;

c. Her score was better than those of 60% of all test takers

Step-by-step explanation:

Percentile Score is the score of an exam or test candidate with regard to the relative performance of the other persons that took part in the exam or test.

The percentile score is calculated by converting candidates scores into a scale consisting of the scores of all candidates and ranging from 0 to 100

A 60th percentile score means that the student performed better than 60% of all the candidates of the test and 40% of the test takers scored the same as or better than the student.

5 0
3 years ago
The school choir is going on a trip. They plan on bringing 100 total bottles of water and juice with them. Each bottle of water
jarptica [38.1K]

Answer:

40 bottles of juice

60 bottles of water

Step-by-step explanation:

let w represent water, let j represent juice. set up a system of equations:

w+2j=140

w+j=100

isolate the w by itself on the bottom equation:

w=100-j

solve the top equation by substitution, substituting 100-j for w:

w+2j=140

100-j+2j=140

100+j=140

j=40

this means that they bought 40 bottles of juice.

to find the amount of bottles of water the bought, substitute 40 for j in either of the equations (i did it in the bottom one, because it's easier):

w=100-j

w=100-40

w=60

so, they bought 60 bottles of water.

5 0
3 years ago
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