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Mrac [35]
2 years ago
6

charles had a sheet cake for his birthday when 9/12 remained charles took 1/3 of the remaining cake to wrap and save for later w

hat fraction of the original cake did he wrap
Mathematics
1 answer:
ollegr [7]2 years ago
4 0

Answer:

He wrapped 3/4 of the cake.

Step-by-step explanation:

1/3 of 9/12 is 0.25 and 0.25 converted into a fraction is 3/4

- Hope this helps!

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In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AC=5 and BH=2, find AH and CH.
Yakvenalex [24]

Answer:

  AH = 1 or 4

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Step-by-step explanation:

An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...

  AH/BH = BH/CH

  AH·CH = BH²

The problem statement tells us AH + CH = AC = 5, so we can write

  AH·(5 -AH) = BH²

  AH·(5 -AH) = 2² = 4

This gives us the quadratic ...

  AH² -5AH +4 = 0 . . . . in standard form

  (AH -4)(AH -1) = 0 . . . . factored

This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.

3 0
3 years ago
What would be the best first step to convert 5x-y=7 to slope intercept form?
xz_007 [3.2K]

Answer:

-5x from both sides

Step-by-step explanation:

When converting an equation to slope-intercept form, you need to isolate the y. The first step in isolating the y is to remove 5x from both sides of the equation:

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5x - 5x - y = 7 - 5x

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Now it's just -1y on one side of the equation.

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Step-by-step explanation:

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What is my hourly pay if my bi-weekly gross is 1,986 dollars
Bingel [31]
According to this, it's $17.73/hr.

(Probably should put how many hours you work daily next time)
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The school concert raised $1360 from the sale of 400 tickets. If adult tickets cost $5 and student tickets $3, how many student
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x-how\ many\ student\ tickets\ were\ sold\\ \\3\cdot x+5\cdot (400-x)=1360\\ \\3x+2000-5x=1360\\ \\-2x=-640\ \ \ \Rightarrow\ \ \ \ x=320\\ \\Ans.\ 320\ tickets\ for\ students
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