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Verizon [17]
3 years ago
12

A machine produces 75 widgets an hour. How many widgets does it produce in 6 minutes

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
8 0

we know that

A machine produces 75 widgets an hour

How many widgets does it produce in 6 minutes?

one hour is equal to ------> 60\ minutes


by proportion

\frac{75}{60}  =\frac{x}{6}   \\\\  60*x= 75*6\\\\  x=\frac{75*6}{60}

x=7.5\ widgets

therefore

<u>the answer is</u>

A machine produces 7\ widgets in 6 minutes

inn [45]3 years ago
5 0
75/60 is 1.25 and 1.25 times 6 is 7.5 but you can't produce a half widget so it is just 7
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lawyer [7]

Answer:

g(3) = 13

Step-by-step explanation:

Given

g(0) = 1

g(1) = 5

Required

Find g(3)

Since g(x) is a linear function, then:

g(x) = mx + c

For: g(0) = 1

g(x) = mx + c

g(0) = m*0 + c

1 = 0 + c

1 = c

c = 1

For: g(1) = 5

g(x) = mx + c

g(1) = m * 1 + c

5 = m * 1 + c

5 = m + c

Substitute c = 1

5 = m + 1

m = 5 - 1

m =4

So, the function is:

g(x) = mx + c

g(x) = 4x + 1

Calculate g(3)

g(3) = 4*3 + 1

g(3) = 12 + 1

g(3) = 13

3 0
3 years ago
You and 4 friends meet to have dinner at your favourite restaurant. Everyone decides to order the nightly special. Write an expr
jok3333 [9.3K]

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5x

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1 plus 4 is 5 and everyone is ordering the same thing, which is known as any variable, so in this case, x. So, you get 5x

6 0
3 years ago
Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.50.
Marta_Voda [28]

Answer:

$9

Step-by-step explanation:

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What is −2x−6y= 6 in slope-intercept form?
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Step-by-step explanation:

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2 years ago
write and solve this equation: Samantha is one year less than twice her brother Jack’s age. If the sum of their ages is 41, how
Rufina [12.5K]

Answer:

Samantha's age = 27 years

Step-by-step explanation:

  • Let Jack's age be = x

As Samantha is one year less than twice her brother Jack’s age.

  • So Samantha's age = 2x-1

As the sum of their ages is 41.

Thus, the equation become

x+2x-1 = 41

3x-1 = 41

3x = 42

Dividing both sides by 3

x = 14

It indicates that Jack's age = 14 years

Therefore,

Samantha's age = 2x-1 = 2(14)-1 = 27 years

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2 years ago
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