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marysya [2.9K]
3 years ago
11

greg wants to divide a 2 and 1/2 pound block of cheese into four equal pieces. How much will each piece weigh?

Mathematics
1 answer:
Alex73 [517]3 years ago
5 0

let's firstly convert the mixed fraction to improper fraction and then divide.

\bf \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{2}\div 4\implies \cfrac{5}{2}\div \cfrac{4}{1}\implies \cfrac{5}{2}\cdot \cfrac{1}{4}\implies \cfrac{5}{8}

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Alex_Xolod [135]

Answer:

Step-by-step explanation:

Y=8(32)+12

Y=256+12

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Y=8(24)+12

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204+268=472

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3 years ago
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Recipe<br> 1/2 lemonade 1 1/2 iced tea. If 16 cups made how any cups of lemonade and iced tea
larisa86 [58]

Answer:

8 lemonade and 24 iced tea

Step-by-step explanation:

1/2=0.5

0.5x16=8 lemonade

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6 0
3 years ago
Why 3^-7 x 3^7 = 1. . Someone please
irina [24]

Answer:

see below

Step-by-step explanation:

3^-7 x 3^7 = 1

The negative exponents put it in the denominator

1/ 3*3*3*3*3*3*3   * (3*3*3*3*3*3*3) = 1

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1=1

6 0
3 years ago
HELP NOW II WILL GIVE YOU 30 POINTS
Alex

Answer:

1; -11+ 26 =15

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3: 10+ (-4) = 7

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2 years ago
Find the major axis for the ellipse <br> x² + 16y2-96y + 128 = 0
Softa [21]

The major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

To answer the question, we need to write it in the standard form of the equation of an ellipse

<h3>Equation of an ellipse</h3>

The equation of an ellipse centered at  (h,k) is

(x - h)²/a² + (y - k)²/b² (1) where a > b and the major axis is parallel to the x axis

Given x² + 16y² - 96y + 128 = 0, we convert it into the standard equation of an ellipse.

So, x² + 16y² - 96y + 128 = 0

Dividing through by 16, we have

x²/16 + 16y²/16  - 96y/16 + 128/16 = 0/16

x²/16 + y² - 6y + 8 = 0

Completing the square in y by adding and subtracting (-6/2)² = (-3)²

x²/16 + y² - 6y + (-3)² - (-3)² + 8 = 0

x²/16 + (y - 3)² - 9 + 8 = 0

x²/16 + (y - 3)² - 1 = 0

x²/16 + (y - 3)² = 1

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Comparing equations (1) and (2), we have that a = 4 and b = 1.

Since a = 4 > b = 1, the major axis for the ellipse is the x-axis

So, the major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

Learn more about ellipse here:

brainly.com/question/26679189

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8 0
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