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Pavel [41]
4 years ago
8

U.S. postal regulations require that a package can have a maximum combined length and girth (distance around) of 108 in. A shipp

ing carton is constructed so that it has a width of 14 in., a height of 12 in., and can be cut or folded to various lengths. What is the maximum length that can be used?
Mathematics
1 answer:
Eduardwww [97]4 years ago
4 0

Answer: The maximum length that can be used is 56 inches.

Step-by-step explanation:

Since we have given that

Width of package = 14 inch

Height of package = 12 inch

Let the length of package be 'l'.

Combined length and girth i.e. distance around = 108 inches.

So, According to question, we get that

l+2(w+h)=108\\\\l+2(14+12)=108\\\\l+2\times 26=108\\\\l+52=108\\\\l=108-52\\\\l=56\ inches

Hence, the maximum length that can be used is 56 inches.

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Write 336 mi in 11.2 h as a rate in simplest form
arsen [322]

Answer:

  30 mL/h

Step-by-step explanation:

You want the rate 336 ml in 11.2 h as a rate in simplest form.

<h3>Unit rate</h3>

The rate can be expressed in simplest form in a number of ways. We usually want rates involving time to be expressed with time units in the denominator:

  (336 mL) / (11.2 h) = 30 mL/h

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<em>Additional comment</em>

Medicine is often prescribed on a "per day" basis. In 24 hours, this rate would be ...

  (30 mL/h)×(24 h/day) = 720 mL/day

The machine setup to dispense this medicine might use time units of minutes:

  (30 mL/h) / (60 min/h) = (1/2) mL/min

4 0
2 years ago
A father is 25 years older than his son. 10 years ago, he was six times as old his son. What are their present ages?​
RoseWind [281]

Answer:

Present age of son = 15 years

& Present age of father = 40 years

Step-by-step explanation:

  • Let the son's present age be x years

  • -> Father's present age = (x + 25) years

  • 10 years ago:
  • Son's age = (x - 10) years

  • Father's age = (x +25 -10) = (x +15) years

  • It is given that: 10 years ago father was six times as old as his son

  • -> x + 15 = 6(x - 10)

  • -> x + 15 = 6x - 60

  • -> x- 6x = - 60 -15

  • -> -5x = - 75

  • -> x = -75/(-5)

  • -> x = 15

  • -> x + 25 = 15 + 25 = 40

  • -> Present age of son = 15 years

  • & Present age of father = 40 years.
3 0
2 years ago
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Please help me with this question. Will do brainiest!
melisa1 [442]

Substitute 1 in for x, -2 in for y, -3 in for z, and solve.

(1³)(-2)(-3²) + (1²)(-2²)(-3²) + (1)(-3)

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4 years ago
Find how many yard are in 1 mild. A mile is 5280 feet, a yard is 3 feet
siniylev [52]

Answer: 1760

<u>Step-by-step explanation:</u>

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Answer:

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