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aksik [14]
3 years ago
10

Find and round to the nearest cent. 35% of $246.55

Mathematics
1 answer:
katrin [286]3 years ago
5 0
Hello,
35%=0.35
To find the answer:
$246.55×0.35=$86.2925 or $86.3. As a result, 35% of $246.55 is $86.4. Hope it help!
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A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f
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Answer:

2580 ft-lb

Step-by-step explanation:

Water leaks out of the bucket at a rate of \frac{0.15 \mathrm{lb} / \mathrm{s}}{1.5 \mathrm{ft} / \mathrm{s}}=0.1 \mathrm{lb} / \mathrm{ft}

Work done required to pull the bucket to the top of the well is given by integral

W=\int_{a}^{b} F(x) dx

Here, function F(x) is the total weight of the bucket and water x feet above the bottom of the well. That is,

F(x)=4+(42-0.1 x)

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a is the initial height and b is the maximum height of well. That is,

a=0 \text { and } b=60

Find the work done as,

W=\int_{a}^{b} F(x) d x

=\int_{0}^{60}(46-0.1 x) dx

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=2580 \mathrm{ft}-\mathrm{lb}


Hence, the work done required to pull the bucket to the top of the well is 2580 \mathrm{ft}- \mathrm{lb}

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How many 3 over 8 pound bags of trail mix can be made from 6 and 3 over 8 pounds of trail mix ? Write a division expression
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Answer:

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Step-by-step explanation:

We are asked to find the number of bags with weight 3/8 pound can be made from 6\frac{3}{8}.

To find the number of

\text{Number of bags that can be made from available mix trail}=6\frac{3}{8}\div \frac{3}{8}  

Convert mixed fraction into improper fraction.

\text{Number of bags that can be made from available mix trail}=\frac{51}{8}\div \frac{3}{8}  

Since we know that dividing a fraction with another fraction is same as multiplying the 1st fraction with the reciprocal of 2nd fraction.

\text{Number of bags that can be made from available mix trail}=\frac{51}{8}\times \frac{8}{3}  

After cancelling out 8 from numerator and denominator we will get,

\text{Number of bags that can be made from available mix trail}=\frac{51}{3}  

\text{Number of bags that can be made from available mix trail}=17  

Therefore, 17 bags each of weight 3/8 pounds can be made from 6\frac{3}{8} pounds of mix trail.

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