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Ierofanga [76]
2 years ago
14

Harry had $32. He spent all the money buying three notebooks for x dollars each and four packs of index cards for y dollars each

. If Harry had bought five notebooks and five packs of index cards, he would have run short by $18. The following system of equations models this scenario: 3x 4y = 32 5x 5y = 50 Use the system of equations to solve for x and y. (8, 2) (1, 5) (2, 8) (5, 1).
Mathematics
1 answer:
sergiy2304 [10]2 years ago
3 0

Answer:

x = notebooks

y = indexboks

3x+4y=32 ( here is spent all money so I add 32 here )

5x+5y=50

by elemination method

3x+4y=32×5

5x+5y=50×4 ( here I'm going to eliminate y )

15 x+20y= 160

20x+20y= 200

- - = -

____________

-5x = -40

x = - 40 / -5

x = 8

here - × - = + so iam taking positive 8

now substitute the value of x in any equation

3×8+4y = 32

24 + 4y = 32

4y = 32-24

y = 8 / 4

y = 2

CHECKING

SUBSTITUTE BOTH VALUES IN ANY EQUATION

5×8+5×2 = 50

40 + 10 = 50

50 = 50

I SUBSTITUTE IN 2ND EQUATION

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3 years ago
Suppose that x and y vary inversely, and x = 12 when y = 8 . Write the function that models the inverse variation.
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Answer:

y=\frac{96}{x}

Step-by-step explanation:

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1 year ago
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Emily and Lily are reading the same copy of the same book for a summer reading assignment.
AnnyKZ [126]

Answer:

Step-by-step explanation:

emily : 16 + 22x....with x being the number of days

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16 + 22x = 24 + 18x

22x - 18x = 24 - 16

4x = 8

x = 8/4

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7 0
2 years ago
A student had taken 7 tests and received scores of 88, 73, 81, 83, 79, 73, and 97.
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Answer:

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mode:most popular number.

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