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musickatia [10]
3 years ago
13

You have 1/2 pound of flour. You split up the flour into 3 bags so each bag weighs the same. Which of these statements is NOT tr

ue?
A. Each bag has 1/3 of the flour.
B.1/2 pound is 3 times as heavy as each bag of flour.
C.Each bag has 1/3 pound of flour.
D.Each bag has 1/6 pound of flour.
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
5 0
Given:
1/2 pound of flour
split the flour into 3 bags of equal weight.

1/2 ÷ 3 

In dividing fractions, you must remember to get the reciprocal of the 2nd fraction and multiply it to the 1st fraction.

3 is the 2nd fraction. Its reciprocal is 1/3

1/2 * 1/3 = 1/6 pound of flour.

The False statement is:
C. Each bag has 1/3 pound of flour. 
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( x, y) satisfies both equations y+18=x(x-3) and x=y+6
antoniya [11.8K]

Answer:

(- 2, - 8 ) , (6, 0 )

Step-by-step explanation:

y + 18 = x(x - 3) ← distribute

y + 18 = x² - 3x → (1)

x = y + 6 → (2)

Substitute x = y + 6  into (1)

y + 18 =(y + 6)² - 3(y + 6) ← expand parenthesis using FOIL

y + 18 = y² + 12y + 36 - 3y - 18

y + 18 = y² + 9y + 18 ( subtract y + 18 from both sides )

0 = y² + 8y = y(y + 8)

Equate each factor to zero and solve for y

y = 0

y + 8 = 0 ⇒ y = - 8

Substitute these values into (2) and evaluate for x

y = 0 : x = 0 + 6 = 6 ⇒ (6, 0 )

y = - 8 : x = - 8 + 6 = - 2 ⇒ (- 2, - 8 )

3 0
3 years ago
A cylinder has a volume of 400 cubic feet. If the height of the cylinder is 25 feet, what is the radius of the cylinder? Use 3.1
Likurg_2 [28]

Answer:

2.26 feet

Step-by-step explanation:

400/25=16

16/3.14=5.0955

5.0955^2=2.257

3 0
2 years ago
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Answer:

Step-by-step explanation:

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I got u=6

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Step-by-step explanation:

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