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otez555 [7]
2 years ago
6

look at the cups shown below (images are not drawn to scale). how many more cubic inches of juice will cup B hold than cup A whe

n both are completely full? round your answer to the nearest tenth.

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
7 0

Answer:

18.8 cubic inches

Step-by-step explanation:

✔️Amount of juice Cup B will hold than Cup A = Volume of cup B - volume of cup A

✔️Volume of Cup B = Volume of cylinder = πr²h

radius (r) = ½ of 2 = 1 in.

height (h) = 7 in.

Volume of cup B = π*1²*7 = 21.99 in.³

✔️Volume of Cup A = Volume of cone = ⅓πr²h

radius (r) = ½ of 2 = 1 in.

height (h) = 3 in.

Volume of cup B = ⅓*π*1²*3 = 3.14 in.³

✔️Amount of juice Cup B will hold than Cup A = 21.99 in.³ - 3.14 in.³ = 18.8 in.³ (nearest tenth)

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The swimming team has competed in 45 races this season. They have won 30 races so far. How many races will the team need to win
tatuchka [14]

Answer:

15 races

Step-by-step explanation:

The team has competed in 45 and has won 30. So the success rate is:

Success rate is:

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We have to solve the equation for x

\frac{30+x}{45+x}=0.75\\ 30+x = 0.75(45+x)\\30+x=33.75+0.75x\\x-0.75x=33.75-30\\0.25x=3.75\\x=\frac{3.75}{0.25}\\ x=15

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4 0
3 years ago
The hydrogen ion concentration (h+) in a certain cleaning compound is (h+)=3.2x10^-11 use the formula ph=-log(h+) to find the pH
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Step-by-step explanation:

If the cleaning ion concentration of the cleaning compound is [H^{+}] = 3.2\times 10^{-11}, then the pH, no unit, of the compound is:

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Then, my teacher would tell me to look at the numerators and subtract those - The answer would be 4

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4/2 is your answer I believe

Hope this helped! :)

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