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ddd [48]
2 years ago
7

Kevin is buying water for his camping trip. He knows he needs at least 20 gallons of water for the trip. He already has five and

a half gallons. The water comes in 32-fluid ounce (quarter-gallon) containers. What algebraic inequality represents this situation?
Mathematics
2 answers:
s2008m [1.1K]2 years ago
5 0

Answer:

5.5+0.25x\geq 20

Step-by-step explanation:

Kevin already has five and a half gallons of water for the trip

He knows he needs at least 20 gallons of water for the trip.

The water comes in 32-fluid ounce (quarter-gallon) containers.

1 fluid ounce =0.0078125 gallons

32-fluid ounce =32 \times 0.0078125 =0.25

Let x be the number 32-fluid ounce (quarter-gallon) containers required  to have at least 20 gallons of water for the trip.

1 container contains 0.25 gallons of water

So, x container contains 0.25x gallons of water

So, Kelvin has total gallons of water =5.5+0.25x

Since we are given that He knows he needs at least 20 gallons of water for the trip.

So, 5.5+0.25x\geq 20

Hence the algebraic inequality represents this situation is 5.5+0.25x\geq 20

PSYCHO15rus [73]2 years ago
5 0

Answer: One-fourth x + 5 and one-half greater-than-or-equal-to 20

Step-by-step explanation:

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Four friends each ordered individual pizzas at a restaurant. Suzy ate 3/8 of her pizza. Ethan ate 3/5 of his pizza. Tenaya ate 4
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Answer:

Ethan and Tenaya ate more than half of their pizza.

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Step-by-step explanation:

We have been given that each of the four friends ordered individual pizzas. They ate some part of the pizzas and we have to find who ate more than half of their pizza? Less than half?

Suzy ate 3/8 of her pizza. It means she ate 0.375 of her pizza which is less than half.

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7 0
2 years ago
The cruise boat can carry up to 45 passengers. The company wants to know the minimum number of passengers needed per cruise to c
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9 0
2 years ago
Read 3 more answers
Is rap music more popular among young Indians than among young Asians? A sample survey compared 634 randomly chosen Indians aged
BabaBlast [244]

Answer:

Step-by-step explanation:

Confidence interval for the difference in the two proportions is written as

Difference in sample proportions ± margin of error

Sample proportion, p = x/n

Where x = number of successes

n = number of samples

For the indians,

x = 368

n1 = 634

p1 = 368/634 = 0.58

For the asians

x = 130

n2 = 567

p2 = 130/567 = 0.23

Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, confidence level of 95% is 1.96

Margin of error = 1.96 × √[0.58(1 - 0.58)/634 + 0.23(1 - 0.23)/567]

= 1.96 × √0.00038422713 + 0.00031234568)

= 0.052

Confidence interval = 0.58 - 0.23 ± 0.052

Confidence interval = 0.35 ± 0.052

8 0
2 years ago
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