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Ymorist [56]
2 years ago
13

Harry had $32. He spent all the money on buying 3 notebooks for $x each and 4 packs of index cards for $y each. If Harry had bou

ght 5 notebooks and 5 packs of index cards, he would have run short of $18.
A student concluded that the price of each notebook is $5 and the price of each pack of index cards is $1. Which statement best justifies whether the student's conclusion is correct or incorrect?

The student's conclusion is incorrect because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 50 is (8, 2).
The student's conclusion is incorrect because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 18 is (8, 2).
The student's conclusion is correct because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 18 is (5, 1).
The student's conclusion is correct because the solution to the system of equations 3x − 4y = 32 and 5x − 5y = 50 is (5, 1).
Mathematics
1 answer:
LenKa [72]2 years ago
4 0
3x + 4y = 32....multiply by 5
5x + 5y = 50...multiply by -3
---------------
15x + 20y = 160 (result of multiplying by 5)
-15x - 15y = -150 (result of multiplying by -3)
--------------add
5y = 10
y = 10/5
y = 2

3x + 4y = 32
3x + 4(2) = 32
3x + 8 = 32
3x = 32 - 8
3x = 24
x = 24/3
x = 8

solution (8,2)

The students conclusion is incorrect......it is answer choice 1



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Answer:

Jake scored more on the spelling quiz. 80% is more than 68% so therefore he scored more on the quiz. To find 80% and 68%, you can use a percent of proportion or divide and multiply by 100.

Step-by-step explanation:

To find the percent of a score, you divide.

17/25 (division) = 0.68

0.68 is a decimal so to make it a percent you multiply by 100 = 68%

Or you can do it with fractions:

17/25 = ?/100: 68

16/20 = 0.8

Again, 0.8 times 100 = 80%

Or you can do it with fractions:

16/20 = ?/100: 80

He scored more on the spelling quiz, I hope this helps (justification on the answer).

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Lola says these two expressions have the same value.
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It should be A.

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In a standard game of pool, there are 15 balls labeled 1 through 15. a) In how many ways can the 15 balls be ordered? (5 points)
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Answer:

<h2>a) 1.308*10¹² ways</h2><h2>b) 455 way</h2>

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If  there are 15 balls labeled 1 through 15 in a standard football game, the order of arrangement of the 15 balls can be done in 15! ways.

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b)  If 3 of the 15 balls are to be chosen if order does not matter, this can be done in 15C3 number of ways. Since we are selecting some balls out of the total number of balls, we will use the concept of combination.

Using the combination formula nCr = n!/(n-r)!r!

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15C3 = 15*14*13/6

15C3 = 455 ways

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