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Snezhnost [94]
1 year ago
15

The triathletes were offered water as they rode by the volunteer station. The volunteers handed them cones with the dimensions s

hown. If each triathlete sloshed 1/3 of the water out before they drank it, how many cubic cm of water did they slosh out? Round to the nearest tenth.
Height 7cm
radius 3.5cm
Mathematics
1 answer:
Zolol [24]1 year ago
7 0
Find the area of the cone:
Area of cone: ⅓r^2h
⅓r^2h
= ⅓(3.5)^2(7)
= ⅓(12.25)(7)
= 1/3(85.75)
= 85.75/3
1/3 cup sloshed out:
(85.75/3 )/3
= 29.9 cubic cm
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8 0
3 years ago
Regina brought 8 7/8 pound of fruit for her family . She brought 3 1/2 pound of oranges and 2 3/4 pound of peaches and some appl
butalik [34]

Answer:

Regina has bought 2\frac{5}{8}\ pounds of apples.

Step-by-step explanation:

Given:

Amount of fruit brought = 8\frac{7}{8}\ pounds

Now given number is in mixed fraction we will convert into improper fraction.

To convert a mixed fraction to an improper fraction, we will Multiply the whole number part by the fraction's denominator.  Add that to the numerator,Then write the result on top of the denominator.

So we can say that;

8\frac{7}{8}\ pounds can be Rewritten as \frac{71}{8}\ pounds

Amount of fruit brought = \frac{71}{8}\ pounds

Also given:

Amount of oranges bought = 3\frac12\ pounds

3\frac12\ pounds can be Rewritten as \frac{7}{2}\ pounds

Amount of oranges bought =  \frac{7}{2}\ pounds

Amount of peaches bought = 2 \frac34\ pounds

2 \frac34\ pounds can be Rewritten as \frac{11}{4}\ pounds

Amount of peaches bought =  \frac{11}{4}\ pounds

We need to find amount of apples bought by Regina.

Solution:

Let the amount of apples bought be 'x'

Now we know that;

Amount of fruit brought is equal to sum of Amount of oranges bought and Amount of peaches bought amount of apples.

framing in equation form we get;

\frac{71}{8}=\frac{7}{2}+\frac{11}{4}+x\\\\x=\frac{71}{8}-\frac{7}{2}-\frac{11}{4}

Now we will make the denominator common using LCM we get.

x=\frac{71\times 1}{8\times 1}-\frac{7\times4}{2\times4}-\frac{11\times2}{4\times2}\\\\x=\frac{71}{8}-\frac{28}{8}-\frac{22}{8}

Now denominators are same so we will solve the numerator.

x=\frac{71-28-22}{8}\\\\x=\frac{21}{8}\ pounds

Now \frac{21}{8}\ pounds can be Rewritten as 2\frac{5}{8}\ pounds

Hence Regina has bought 2\frac{5}{8}\ pounds of apples.

5 0
3 years ago
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