Please help, I suck at math 1. Two machines are used to make the same kind of electronic parts. Machine A makes 2 times the number of defective parts as Machine B. There was a total of 27 defective parts made yesterday by both machines. How many defective parts did Machine B make yesterday?

2. Derek is one year older than three times Paula’s age. The sum of their ages is 37. How old is Derek?​

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step-by-step explanation:

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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.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet