A can factory requires 2 sheets of metal to make 36 cans and 10 sheets of metal to make 180 cans. The proportionality constant between the number of cans made and the number of sheets of metal used is 36 18 288 5

From the statement above, we can say that there is a direct relationship between the number of sheets used to the number of cans that can be made. That is, # of sheets is directly proportional to # of cans. We make an equation as follows:

let y = # of sheets

    x = # of cans

y = kx      where k is the proportionality constant

Assuming linear relationship of the two, we can use either data point as follows:

y = kx

2 = k(36)

k = 1/18

Therefore, the proportionality constant is 1/18.

Step-by-step explanation:

Type the correct answer in each box.

A company manufactures three types of cabinets, type A, type B, and type C.

Last week, the number of type B cabinets produced was 30 more than  the number of type A cabinets produced. The number of type C cabinets produced was 20 more than  times the number of type A cabinets produced.

If the company made the same number of type B and type C cabinets last week, then the number of type A cabinets produced was

. The total number of cabinets produced last week was

.

Step-by-step explanation:

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step-by-step explanation:

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.