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Furkat [3]
4 years ago
8

A shipping container holds 20 soft drink boxes. The dimensions of a soda box are 15 inches by 4 inches by 5 inches. What is the

minimum size the shipping container could be?
Mathematics
1 answer:
patriot [66]4 years ago
7 0

Answer:

6000 in³

Step-by-step explanation:

To solve this problem, we simply have to find the volume of the shipping container that will be just enough to contain the 20 soda boxes.

To do this, we find the volume of each soda box and multiply it by the total number of soda boxes held by the shipping container.

Volume of the box = L * B * H

L = length = 15 in

B = breadth = 4 in

H = height = 5 in

V = 15 * 4 * 5 = 300 in³

This is the volume of each soda box.

The volume of 20 soda boxes will then be:

V = 20 * 300 = 6000 in³

This is the volume of 20 soda boxes and hence, the minimum size the shipping container can be.

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A small furniture company manufac- tures sofas and recliners. Each sofa requires 8 hours of labor and $180 in materials, while a
Bad White [126]

Answer:

30 and 20 respectively

Step-by-step explanation:

Let the number of sofas to be built be s and the number of recliners be r.

For the time part, we have the following equation:

8s + 6r = 340

For the money part:

180s + 105r = 6750

Now let’s solve these equations simultaneously.

Let’s change the form of the second equation:

180s + 17.5(6r) = 6750

From the first equation, 6r = 340 - 8s

Insert this into the third equation

180s + 17.5(340-8s) = 6750

180s + 5950 - 140s = 6750

40s = 6750 - 5950

40s = 800

s = 20

Substitute the value into the first equation

8(20) + 6r = 340

6r + 160 = 340

6r = 180

r = 30

4 0
3 years ago
Edwina measured the length of this swimming pool by drawing similar triangles as shown. What is the best estimate of p, the leng
Paraphin [41]

Answer:

Option C. p=33\ ft

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

In this problem

Using proportion

\frac{p}{12}=\frac{22}{8}\\ \\p=12*22/8\\ \\p=33\ ft

7 0
3 years ago
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Please solve find perimeter
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Step-by-step explanation:

5 0
3 years ago
A magazine currently has 8700 subscribers for its online web version. It is adding members at the rate of R(t) = 190e0.03t subsc
aleksklad [387]

Number of subscriber the magazine will have after 3 years from now approximately be 8767

<u>Solution:</u>

Given that magazine currently has 8700 subscribers for its online web version

\begin{array}{l}{\mathrm{R}(\mathrm{t})=190 \mathrm{e}^{0.03 \mathrm{t}} \text { subscribers/month }} \\\\ {\mathrm{S}(\mathrm{t})=\mathrm{e}^{-0.06 \mathrm{t}}}\end{array}

After 3 years, time(t) = 36 month

Total number of subscribers after 3 years from now :

Substitute "t" = 36

\begin{array}{l}{\mathrm{R}(36)=190 \mathrm{e}^{0.03 \times(36)}=190 \times(2.944)} \\\\ {\mathrm{R}(36) \approx 560} \\\\ {\mathrm{S}(36)=\mathrm{e}^{-0.06 \times(36)}=0.12}\end{array}

Subscribers remaining = 0.12 x 560 = 67.2

The magazine currently has 8700 subscribers

Added Subscriber = 8700 + 560 = 9260

Remaining Subscriber = 8700 + 67.2 = 8767.2

Therefore number of subscriber the magazine will have after 3 years from now approximately be 8767

7 0
4 years ago
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