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Kryger
1 day ago
15

A spherical container has a radius of 9 centimeters. It is filled with a solution that costs $2.10 per cubic centimeters.

Mathematics
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Four items are purchased at prices of $5.30, $1.29, $.53, and $.68. Sales tax applies at 5% of the total purchase price. What is
lawyer [12517]

Answer:

$8.19

Step-by-step explanation:

1. First, sum the prices of all items together

5.3 + 1.29 + 0.53 + 0.68 = 7.8

2. Next, calculate 5% of the total item cost

5% = 0.05

7.8 · 0.05 = 0.39

3. Finally, add the sales tax to the initial item total

7.8 + 0.39 = 8.19

6 0
1 month ago
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A boat operates under its motor and 10 m/s and is headed downstream. If the river flows downstream at 2m/s, what is the resultan
zzz [12365]

Answer:

The resultant velocity will be 12 m/s

Step-by-step explanation:

If the river flows at 2m/s downstream while the boat travels downstream at 10m/s, simply add the two speeds to find the resultant velocity:

Resultant Velocity = 10 m/s + 2 m/s = 12 m/s.

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1 month ago
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Stacy wishes to reduce the milk fat content of 5 pints of cream which is 15% fat by combining it with 7 pints of milk which is o
AnnZ [12381]

Answer:

The fat percentage in the blend amounts to 8%.

Step-by-step explanation:

Let

x -----> represent the fat percentage in the mix.

We understand that

The total of milk's volume times its fat percentage, added to cream's volume times its fat ratio, must match the overall mixture's volume times its fat percentage.

Keep in mind that

15% = 15/100 = 0.15

3% = 3/100 = 0.03

therefore

5(0.15)+7(0.03)=(5+7)(x)

Now, solve for x

0.75+0.21=12x

0.96=12x

x=0.08

Convert that into a percentage

0.08*100=8\%

4 0
2 months ago
In year 3 it is expected that the total value of clothing sales will reach 32 million if the total value of ASCO sells Remains t
tester [12383]

Answer:

The sales figure for the third year is [\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%].

Step-by-step explanation:

Since sales data for the second year is unavailable, we denote it as x million.

Year 3's total sales amount to 32 million.

Calculate the sales account for year 3 as follows:

\text{Percentage of sales for year 3}=\frac{\text{Total Sales in year 3}-\text{Total Sales in year 2}}{\text{Total Sales in year 2}}\times 100\%

                                                =\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%

3 0
3 months ago
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