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larisa86 [58]
3 years ago
13

Chanita wants to swim the 21-mile English Channel in 48 hours. On the first day she swam 9 miles and then was picked up by a fer

ry to spend the night. The next day, she has 12 hours of daylight to complete the remaining distance. What inequality represents the minimum rate she has to swim on the second day to complete the distance? the inequality is 9 +
Mathematics
1 answer:
labwork [276]3 years ago
4 0

The inequality 12x+9 ≥ 21  represents the minimum rate Chanita have to swim on second day to complete the distance.

Step-by-step explanation:

Given,

Length of English Channel = 21 miles

Distance covered on first day = 9 miles

Time to complete remaining distance on second day = 12 hours

Let,

x be the distance covered per hour on second day.

Time to cover distance * Distance covered per hour + Distance on first day ≥ Total distance

12x+9 ≥ 21

The inequality 12x+9 ≥ 21  represents the minimum rate Chanita have to swim on second day to complete the distance.

Keywords: addition, inequality

Learn more about addition at:

  • brainly.com/question/8520610
  • brainly.com/question/846474

#LearnwithBrainly

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How many subsets of {1, 2, 3, 4, 6, 8, 10, 15} are there for which the sum of the elements is 15?
stepladder [879]

Answer:

512

Step-by-step explanation:

Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7

.

For instance, if I divide the set into parts {1,2,4}

and {3,5}, the first part adds up to 7, and its complement adds up to 8

.

Once one makes that observation, the rest of the proof is straightforward. There are 25=32

different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.

8 0
3 years ago
Cho tam giác ABC vuông tại A đường giao AH biếtAH=12cm BH=9cm.<br><br>Tính diện tích tam giác ABC
Lostsunrise [7]

Answer:

Step-by-step explanation:

AB^2 = HB^2 + AH^2 => AB = 15cm

Ta co cong thuc: 1/AH^2 = 1/AB^2 + 1/AC^2 => AC=20cm

Vay SABC= 1/2 .AB.AC = 1/2 .15.20=150cm^2

6 0
3 years ago
Three ounces of cinnamon cost $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?
Nikolay [14]

$12.80 is your answer.. see all you needed to do was divide $2.40 by three.. as that is one oz you would only then multiply by twelve for your answer.

8 0
3 years ago
Read 2 more answers
Michael can buy 4 sandwiches and 3 cups of coffee for $23.75. Amy can buy 2 sandwhiches and 5 cups of coffee for $19.75 how much
Kobotan [32]

Answer: The cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.

Step-by-step explanation:

Let x be the cost of one sandwich and y be the cost of one cup of coffee.

By considering the given situation, we have the following equations :-

4x+3y=23.75.................(1)\\\\2x+5y=19.75................(2)

Multiply 2 on both sides of equation (2) , we get

4x+10y=39.5................(3)

Subtract equation (1) from equation (3), we get

7y=15.75\\\\\Rightarrow\ y=\dfrac{15.75}{7}=2.25

Put value of y in (1), we get

4x+3(2.25)=23.75\\\\\Rightarrow\ 4x+6.75=23.75\\\\\Rightarrow\ 4x =17\\\\\Rightarrow\ x=4.25

Hence, the cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.

8 0
2 years ago
Type a digit that makes this statement true.
netineya [11]
Make the number 693,000 instead of 69,300. The answer would be 86,625.
Hope this helped, I wasn’t to sure on what you were asking though.
5 0
2 years ago
Read 2 more answers
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