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3 years ago

12 9/150 as a decimal?

1 answer:

7 0

$12 \frac{9}{150}=12 \frac{9 \div 3}{150 \div 3}=12 \frac{3}{50}=12\frac{3 \times 2}{50 \times 2}=12 \frac{6}{100}=\boxed{12.06}$

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Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13 people, while each carton of c

lutik1710 [3]

Answer:

233 cartons of food; 467 cartons of clothing

Step-by-step explanation:

This linear programming problem can be formulated as two inequalities (in addition to the usual constraints that the variables be non-negative). One of these expresses the constraint on weight. Let f and c represent numbers of food and clothing containers, respectively.

40f +25c ≤ 21000

The other expresses the limit on volume.

20f + 5c ≤ 7000

_____

Feasible Region vertex

We can subtract the boundary line equation of the first inequality from that of 5 times the second to find f:

5(20f +5c) -(40f +25c) = 5(7000) -21000

60f = 14000

f = 233 1/3

The second boundary line equation can be rearranged to find c:

c = 1400 -4f = 466 2/3

The nearest integer numbers to these values are ...

(f, c) = (233, 467)

The other vertices of the feasible region are associated with one or the other variable being zero: (f, c) = (0, 840) or (350, 0).

Check of Integer Solution

Trying these in the constraint inequalities gives ...

40·233 +25·467 = 20,995 < 21000
20·233 +5·467 = 6995 < 7000

Selection of the Answer

The answer to the question will be the feasible region vertex that maximizes the number of people helped. That is, we want to maximize ...

p = 13f + 6c

The values of p at the vertices are ...

p = 13·233 + 6·467 = 5831

p = 13·0 + 6·840 = 5040

p = 13·350 + 6·0 = 2100

The most people are helped when the plane is filled with 233 food cartons and 467 clothing cartons.

7 0

3 years ago

Y=x^2-5x+11 Find vertex form

Marat540 [252]

Answer:

Step-by-step explanation:

The answer to life the universe and everything is 42

8 0

3 years ago

The volume of a cone is 62.8 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the n

Setler79 [48]

R = sqrt 3 * (V /( pi * h))
V = 62.8
pi = 3.14
h = 15
now we sub
R = sqrt 3 * (62.8 / (3.14 * 15)
R = sqrt 3 * (62.6 / 47.1)
R = sqrt 3 * 1.33
R = sqrt 3.99
R = 1.9 rounds to 2 inches <===

3 0

3 years ago

Read 2 more answers

The weight of an object is affected by gravity. Something that weighs 1 pound on earth will weigh 1.08 times that weight on Satu

laila [671]

Answer:

2.7 lb

Step-by-step explanation:

2x1.08=2.16

1/2x1.08=0.54

2.16

+ 0.54

2.70

2.70 = 2.7

5 0

3 years ago

What is the lateral area of the figure below. Use 3.14 for pi and round to

nydimaria [60]

Answer:

 $838.67mm {}^{2}$ 

Step-by-step explanation:

Note

<h2>Area of a cone = 1/3pir squared * height</h2>

4 0

3 years ago