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3 years ago

A piece of duct measures 48 inches. When pieces are fitted together, 1 12

Mathematics

1 answer:

bearhunter [10]3 years ago

3 0

Answer:

A piece of duct measures 48 inches.

In each connection, we lost 1 1/2 inches (i guess that it is what you wanted to write)

Then:

If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them, so the number of connections is equal to the number of ducts minus two.)

So here we have 7 times 48 inches for the pieces, minus 5 times 1 1/2 in (i will write 1 1/2 = 1 + 0.5 = 1.5 in, so the math is easier) for the connections, the length is:

L = 7*48in - 5*1.5in = 328.5 inches.

for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:

L = 12*48in - 10*1.5in = 561 in

Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.5in of the new connection:

L = 561in + 328.5in - 1.5in = 888in

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3 years ago

Read 2 more answers

Solve the two step equations

disa [49]

Hello!

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x = -9

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x = -8 + 24

x = 16

3) 6a + (-1) = 10

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6a = 11

a = 11 : 6

a = 11/6

4) -(x + 2) = 12

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6) -4(a + 2) = 12

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Good luck! :)

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3 years ago

What is the solution to the inequality 2x<20

Keith_Richards [23]

The given expression is

$2x$

We just have to divide by 2

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11 months ago

National Income (NI) is the sum of the incomes that all individuals in an economy earn in the forms of wages,

Dennis_Churaev [7]

Answer:

\simeq 14.94 billion dollars

Step-by-step explanation:

During the period 1994 - 2004, the 'National Income' ,(NI) of Australia grew about 5.2% per year (measured in 2003 U. S, dollars). In 1994 , the NI of Australia was $ 4 billion.

Now,

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Assuming this rate of growth continues, the NI of Australia in the year 2020 (in billion dollars) will be,

$4 \times[\frac{(100 + 5.2)}{100}}]^{26}$

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8 0

3 years ago

Orlando invests $1000 at 6% annual interest compounded daily and Bernadette invests $1000 at 7%

Montano1993 [528]

Answer:

6 Years

Step-by-step explanation:

Orlando invests $1000 at 6% annual interest compounded daily.

Orlando's investment = $A=1000(1+\frac{0.06}{365})^{(365\times t)}$

Bernadette invests $1000 at 7% simple interest.

Bernadette's investment = A = 1000(1+0.07×t)

By trail and error method we will use t = 5

Bernadette's investment will be after 5 years

1000(1 + 0.07 × 5)

= 1000(1 + 0.35)

= 1000 × 1.35

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Orlando's investment after 5 years

$A=1000(1+\frac{0.06}{365})^{(365\times 5)}$

= $1000(1+0.000164)^{1825}$

= $1000(1.000164)^{1825}$

= 1000(1.349826)

= 1349.825527 ≈ $1349.83

After 5 years Orlando's investment will not be more than Bernadette's.

Therefore, when we use t = 6

After 6 years Orlando's investment will be = $1433.29

and Bernadette's investment will be = $1420

So, after 6 whole years Orlando's investment will be worth more than Bernadette's investment.

8 0

3 years ago