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VLD [36.1K]
3 years ago
15

Screen printing a batch of shirts takes 0.4 minutes to make a shirt in addition to 4 minutes of initial set time. If it take 6.4

minutes to screen-print a batch of shirts , how many shirts are in the batch?
Mathematics
1 answer:
uranmaximum [27]3 years ago
5 0

There are 6 shirts in the batch

Step-by-step explanation:

The given is:

1. Screen printing a batch of shirts takes 0.4 minutes to make a shirt

2. The initial set time is 4 minutes

3. It takes 6.4 minutes to screen-print a batch of shirts

We need to find how many shirts are in the batch

Let us represent these information in a function

Assume that there are n shirts in the batch

Then t(n) is the total time to screen-print n shirts in the batch

∵ There is initial set time = 4 minutes

∵ It takes 0.4 minutes to make a shirt

∵ The number of shirts  = n

∴ t(n) = 0.4 n + 4

∵ It takes 6.4 minutes to screen-print a batch of shirts

∴ t(n) = 6.4

∵ t(n) = 0.4 n + 4

∴ 6.4 = 0.4 n + 4

- Subtract 4 from both sides

∴ 2.4 = 0.4 n

- Divide both sides by 0.4

∴ n = 6

There are 6 shirts in the batch

Learn more:

You can learn more about linear functions in brainly.com/question/4326955

#LearnwithBrainly

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Rhonda bought a new laptop for $800. The laptop depreciates, or loses, 20% of its value each year. The value of the laptop at a
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As per the problem,

Rhonda bought a new laptop for $800.

The laptop depreciates, or loses, 20% of its value each year.

The value of the laptop at a later time can be found using the formula

A=P(1-r)^t.....(1)

Here we have

P=$800

r=20%=0.20

t=2 years

Substitute the values in equation (1) we get

A=800(1-0.2)^2\\ \\ \Rightarrow A=800(0.8)^2\\ \\ \Rightarrow A=800*0.64\\ \\ \Rightarrow A=512\\

The laptop be worth in two years will be $512.

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3 years ago
Evaluate the expression: (–2)2 + (–42) + (18 – 23).
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Step-by-step explanation:

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3 years ago
"The intersection of two planes is a line" is a statement that is generally accepted as true, but
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3 years ago
Hello pls help meeee
AnnyKZ [126]

The function is (-x+3)/ (3x-2) and we get f(1)=1 and differentiation is f'(x)=-7/ (9x²- 12x+4).

Given that,

The function is (-x+3)/ (3x-2)

We have to find f(1) and f'(x).

Take the function expression

f(x)= (-x+3)/ (3x-2)

Taking x as 1 value

f(1)= (-1+3)/(3(1)-2)

f(1)=2/1

f(1)=1

Now, to get f'(x)

With regard to x, we must differentiate.

f(x) is in u/v

We know

u/v=(vu'-uv')/ v²        (formula)

f'(x)= ((3x-2)(-1)- (-x+3)(3))/ (3x-2)²

f'(x)= ((-3x+2)-(-3x+9))/ 9x²- 12x+4

f'(x)=(-3x+2+3x-9)/ 9x²- 12x+4

f'(x)=2-9/ (9x²- 12x+4)

f'(x)=-7/ (9x²- 12x+4)

Therefore, The function is (-x+3)/ (3x-2) and we get f(1)=1 and differentiation is f'(x)=-7/ (9x²- 12x+4).

To learn more about function visit: brainly.com/question/14002287

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1 year ago
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