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Assoli18 [71]
2 years ago
11

In the last 150 years, the average height of people in the industrialized nations has increased by 1/3 foot. Today, American men

have an average height of 5 7/12 feet. What was the average height of American men 150 years ago? show your work
Mathematics
1 answer:
Alla [95]2 years ago
4 0

Answer:

  • 5 1/4 feet

Step-by-step explanation:

<u>Average height now:</u>

  • 5 7/12 feet

<u>The difference:</u>

  • 1/3 foot

<u>Average height 150 years ago:</u>

  • 5 7/12 - 1/3 =
  • 5 + 7/12 - 4/12 =
  • 5 + 3/12 =
  • 5 + 1/4 =
  • 5 1/4 feet

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1. Using the drawing, if the measure of angle 2 is 42° and the measure of angle 3 is 52°, what is the measure of angle 6?
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Answer:

<em>The biggest profit that can be obtained by the shop owner= </em>IDR 2,750,000.

Step-by-step explanation:

We need to form a LPP( Linear Programming Problem) for the following problem and solve it to get the maximize the profit.

Let x denote the number of men's shoe and y denote the number of female shoes.

Maximize z= 10000x+5000y----------(1)

             x≥100 ( since a shoe store owner wants to fill his shop with at least    100 pairs of men's shoes )

            y≥150  (at least 150 pairs of women's shoes).

also x+y≤400   (The store can only accommodate 400 pairs of shoes).

         x≤150    (male shoes should not exceed 150 pairs).

⇒         100≤x≤150

Hence the optimal solution of an LPP always lie on the end points.

We have end points as:

(100,300), (150,250), (100,150),(150,150).

by putting these value in equation (1) we see which give the maximum solution.

for (100,300) i.e. x=100 and y=300:   z=2,500,000

for (150,250) i.e. x=150 and y=250:  z=2,750,000

for (100,150) i.e. x=100 and y=150: z=1,750,000

for (150,150) i.e. x=150 and y=150: z=2,250,000

Hence maximum profit is obtained at x=100 and y=300.

i.e. to maximize the profit:

<em>Number of men's shoes to be kept in store=100</em>

<em>and number of women's shoes to be kept in store=300</em>

<em>The biggest profit that can be obtained by the shop owner= </em>IDR 2,750,000.

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