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uranmaximum [27]
3 years ago
15

Solve -4x – 8y = -48 8x + 3y = -34.

Mathematics
1 answer:
Likurg_2 [28]3 years ago
4 0

Answer:

x= -1/2 and -32

y = -10

Step-by-step explanation:

1) 2(-4x-8y)= (-48)2

8x+3y =-34

*to create a way to cancel out the x*

2) -8x-16y= -96

8x+3y= -34

*add them

-8x +8x =0

-16y + 3y = -13y

-96+ -34= -130

3) -13y =-130

isolate y

4) y = -10

*plug in* to find x into both original equations*

5) 8x + 3(-10) = -34. -4x-8(-10)= -48

*follow order of operations to solve for x

6) 8x -30 =-34. -4x +80 = -48

7) 8x =-4. -4x =128

8) x= -1/2. x = -32

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Alandra's rectangular cake pan is 33cm by 23 cm. She has enough cake batter to fill it to a depth of 3 cm. Instead, Alandra want
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Answer:

Alandra can fill 60 whole cones

Step-by-step explanation:

The volume of a rectangular prism is V = L × W × H, where

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The volume of the cone is V = \frac{1}{3} π r² h, where

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  • h is its height

∵ Alandra's rectangular cake pan is 33 cm by 23 cm

∴ L = 33 cm and W = 23 cm

∵ She has enough cake batter to fill it to a depth of 3 cm.

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→ Find the volume of the batter using the 1st rule above

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∵ Alandra wants to pour the batter into ice cream cones

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→ We will take the whole number only because we need the whole cones

∴ Alandra can fill 60 whole cones

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