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Kipish [7]
3 years ago
11

To put up several tents for a camping trip, you need several pieces of rope each 6 2/3 feet long. If you have a rope that is 43

feet, how many pieces can you cut for the tents?
Mathematics
1 answer:
Otrada [13]3 years ago
3 0
\bf 43\div 6\frac{2}{3}\implies \cfrac{46}{6\frac{2}{3}}\implies \cfrac{\frac{46}{1}}{\frac{6\cdot 3+2}{3}}\implies \cfrac{\frac{46}{1}}{\frac{20}{3}} \implies \cfrac{46}{1}\cdot \cfrac{3}{20}\implies \cfrac{69}{10}
\\\\\\
\boxed{6\frac{9}{10}}\qquad \qquad 
\cfrac{6\cdot 10+9}{10}\implies \cfrac{69}{10}
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the original cost of a piano is 19,100 and it is on a sale for 19% off its original price if the total l cost includes a 5% sale
amid [387]

Answer:

16,244.55

Step-by-step explanation:

Original cost of piano = 19,100

19% off on 19,100 = 0.19*19100 = 3,629

Selling cost = 19100 - 3629 = 15471

Sales tax = 5% =0.05

Amount of sales tax = 0.05*15471 = 773.55

Total selling cost of piano = Selling cost + Amount of sales tax = 15471 + 773.55 = 16,244.55

4 0
3 years ago
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8 0
3 years ago
2(3 + 4x) = 8x + 6<br> How Many solutions?
Mrrafil [7]

Answer:

Infinite number of solutions

Step-by-step explanation:

2(3 + 4x) = 8x + 6\\6 + 8x = 8x+6\\8x-8x=6-6\\0=0

For any value of x, both equations are equal to each other because both sides are identical

4 0
2 years ago
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180 students in a tenth grade high school class take a survey about which video game consoles they own.
Fantom [35]

Answer:

P(A) = 44.44%

P(B) = 50%

P(B|A) = 37.5%

P(B|A) different from P(B).

A and B are independent.

Step-by-step explanation:

If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%

If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%

If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%

To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%

P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.

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3 years ago
Ashley began a new fitness and wellness program. After 30 days she weighed 124 pounds.
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Ashley lost approximately 0.53 pounds per day. After 30 days, she lost 16 pounds and 16/30=0.53
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