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vova2212 [387]
3 years ago
6

Two machines, Y and Z, work at constant rates producing identical items. Machine Y produces 3 items in the same time Machine Z p

roduces 2 items. If machine Y takes 9 minutes to produce a batch of items, how many minutes does it take for machine Z to produce the same number of items?
A. 6
B. 9
C. 9 1/2
D. 12
E. 13 1/2
Mathematics
1 answer:
umka2103 [35]3 years ago
8 0

Answer:

E. 13 1/2

Step-by-step explanation:

As two machine Y and Z at constant rate is in 3/2 .So if a machine Y is working 3/2 then the rate of other machine Z is 2/3 time take. Y take 9 minutes.So, 9 = (2/3) the time

so T = 9 * 3 / 2

T = 13.5

So option E is true.  

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4. Here are the equations that define three functions.
luda_lava [24]

The functions f(x), g(x) and h(x) are all linear functions

  • The function value that is largest is h(-100)
  • The function value that is largest is h(-100)
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<h3>How to determine the function with the largest values</h3>

The functions are given as:

f(x) = 4x - 5

g(x) = 4(x - 5)

h(x) = x/4 -5

At x = 100, we have:

f(100) = 4 * 100 - 5 = 395

g(100) = 4 * (100 - 5) = 380

h(100) = 100/4 - 5 = 20

Hence, the function value that is largest is f(100)

At x = -100, we have:

f(-100) = -4 * 100 - 5 = -405

g(-100) = 4 * (-100 - 5) = -420

h(-100) = -100/4 - 5 = -30

Hence, the function value that is largest is h(-100)

At x = 1/100, we have:

f(1/100) = 4/100 - 5 = -4.96

g(1/100) = 4 * (1/100 - 5) = -19.96

h(1/100) = (1/100)/4 - 5 = -4.9975

Hence, the function value that is largest is f(1/100)

Read more about linear functions at:

brainly.com/question/15602982

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f =

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Answer:

A

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d = 16 + 72

d = 88

8 0
3 years ago
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