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3 years ago

23,234,008 is what % of 41,892,128

Mathematics

2 answers:

DerKrebs [107]3 years ago

4 0

Answer:

55%

Step-by-step explanation:

We can write an equation! So 23234008 = 41892128*x. Let x be a percent. So x=23234008/41892128 or x is about .5546151. So x is about 55%

zhuklara [117]3 years ago

3 0

Answer:

The answer would round to 55%

Step-by-step explanation:

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A nurse sees 25 patients in 5 hours. At this rate, approximately how many patients will the nurse be able to see in an 8-hour pe

AleksandrR [38]

Answer:

40 patients

Step-by-step explanation:

Divide 25 by 5 to get 5 patients per hour (the rate).

Since there are 8 hours, multiply 8 by 5 to get 40 patients in 8 hours.

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3 years ago

A hole is being dug into the ground at a rate of 5.3 feet per minute. Write an integer to describe the depth of the hole after 1

inna [77]

Answer:

79.5 feet

Step-by-step explanation:

5.3 per minute can also be written as the ratio 5.3:1. so if we have x:15, we can see that we've multiplied the right side by 15 so we have to do the same to the other side. 15 times 5.3 is 79.5. so thats your answer.

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3 years ago

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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.

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3 years ago

Suppose the heights of professional horse jockeys are normally distributed with a mean of 62 in. and a standard deviation of 2 i

ch4aika [34]

Mean = 62 in
SD = 2 in

At 16% = 0.16 and using Z tables,

Z≈ -0.99

x =(-0.99*2) + 62 ≈ 60 in

This represents jockeys who are shorter than 60 in.

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3 years ago