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Lunna [17]
3 years ago
11

Sara bought an $11 mop and 6 sponges. She spend a total of $20. Each sponge coat the same amount. Write an equation that can be

used to find x, the cost in dollars, of each sponge
Mathematics
1 answer:
Reptile [31]3 years ago
4 0

Answer:

6x+11=20

x= 1.5

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The minute hand of a clock is 1010 inches long and moves from 12 to 33 ​o'clock. How far does the tip of the minute hand​ move?
kenny6666 [7]

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Step-by-step explanation:

Circumference is given by= 2πr

Here r= 1010 inches

So Tip of minute hand moves= 2π (1010inch)

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Answer:

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box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box (in cm) that minimize the am
Naya [18.7K]

Answer:

Hence the width, length is 20 cm and height is 10 cm

Step-by-step explanation:

Since the box has a square base, let length = width = x. Also, let the height = y, therefore:

The volume of box = width * length * height

4000 = x * x * y

4000 = x²y

y=4000/x²

The surface area (SA) = area of the base + sum of the area of each side

SA = x² + xy + xy + xy + xy

SA = x² + 4xy

substitute y = 4000/x²

SA = x² + 4x(4000/x²)

SA = x² + 16000/x

Taking the derivative:

SA' = 2x - 16000/x²

making SA' = 0:

0 = 2x - 16000/x²

2x = 16000/x²

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x³ = 8000

x = 20 cm

y = 4000 / x² = 4000 / 20² = 10 cm

Hence the width, length is 20 cm and height is 10 cm

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3 years ago
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Answer:

x=14

Step-by-step explanation:

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