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svetlana [45]
3 years ago
13

The volume of a box (v) varies directly with its length (l) if one of the boxes has a volume of 325 cubic inches and a length of

13 inches what is the costant of proportionality for the group of boxes
Mathematics
1 answer:
stiks02 [169]3 years ago
5 0

Answer:

The constant of proportionality for the group of boxes is: 25

Step-by-step explanation:

Proportion means that change in one quantity causes change in other quantity. Direct variation means that increase in one quantity causes increase in the other quantity.

Let l be the length and v be the volume

Then according to given statement

V∝l

Removing the proportionality symbol introduces a constant in the equation

V = kl

Putting V = 325 and l = 13

325 =k(13)\\k = \frac{325}{13}\\k = 25

Hence,

The constant of proportionality for the group of boxes is: 25

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6 0
3 years ago
Find the lateral area of the prism.<br> 4cm<br> 3cm <br> 6cm<br> 5cm<br> Lateral Area = [?]cm2
kolbaska11 [484]

Answer:

The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.

Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.

We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.

We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.

Solving for "h", we get h = LSA / (s1+s2+s3)

For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20

4 0
2 years ago
For every boy in an advanced math course there are 3 girls who are taking the course.
Nutka1998 [239]

Answer:

If 32 students are enrolled in the course, there would be 24 girls.

Step-by-step explanation:

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It means if there are four students in the class. There would be 3 girls and 1 boy. Thus, 75% of the students are girls.

Given that there are 32 students enrolled in the course.

so

75% of 32 = 75/100 × 32

                 = 24

Thus, if 32 students are enrolled in the course, there would be 24 girls.

7 0
2 years ago
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posledela

Answer:

Step-by-step explanation:

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Answer:

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