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lorasvet [3.4K]
2 years ago
5

In a class of 30 students, 19 are studying French (F), 12 are studying Spanish (S) and 7 are studying both French and Spanish. H

ow many students are not taking any foreign languages?
What is the P(FunionS)' ? Reduce the ratio for your final answer
Mathematics
1 answer:
Fiesta28 [93]2 years ago
5 0

Answer: There are 14 students not taking any foreign languages.

Step-by-step explanation: Take the total number of  students and subtract it by the number of students who are taking each class. So you would get 19 for French, 12 for Spanish, and 7 for both. Then you would add those numbers up and get a total of 38. You would then do the same except subtract each total of students by 30 to find how many of the 30 are not taking each class or both. You would then get 11 for French, 18 for Spanish, and 23 for both. Add those numbers up and get 52. Then you would subtract 38 from 52 thus giving the final answer 14.

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Vanessa draws one side of an equilateral triangle ABC on the coordinate plane at points A(-2, 1) and B (4, 1). What are the two
Readme [11.4K]

Answer:

two vertex are: (1 , 6.2) , (1 , - 4.2)

Step-by-step explanation:

A(-2, 1) and B (4, 1)    AB is a parallel segment with  x axis

The 3rd vertex P (x , y) will locate at the mid point of AB

x = (-2) + (4 - (-2)) /2 = 1       P (1 , y)

length AB = 4 - (-2) = 6

AP = AB (equilateral)

BP² = (4 - 1)² + (1 - y)² = 6²

1 - 2y + y² = 36 - 9 = 27

y² - 2y -26 = 0

y = ((-(-2)) ± √(-2)² - 4 x (-26)) / 2 = (2 ± √108) / 2 = 1 ± 5.2

y = 6.2 or y = -4.2

P (1 , 6.2) or P ( 1 , -4.2)

5 0
2 years ago
A park ranger has 32 feet of fencing to fence four sides of a rectangular recycling site. What is the greatest area of recycling
wariber [46]
The greatest area he can fence is 64 ft².

In order to maximize area and minimize perimeter, we use dimensions that are as close to equivalent as possible.  32 feet of fence for 4 sides gives us 8 feet of fence per side.  We would have a square whose side length is 8; the area would be 8*8 = 64.
8 0
2 years ago
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489 to the nearest ten​
sammy [17]
8 is in the tenth position.

In order to round up, the number behind it (in this case. 9) must be one of the numbers of 5-9. Because 9 meets this requirement, you can round 8 to 9 and this will make 9 to 0.

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2 years ago
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Sean tried to drink a slushy as fast as he could. He drank the slushy at a constant rate. There were originally 275 milliliters
Inga [223]

Answer:

Step-by-step explanation:

275 (slushy) in a cup.

After 13 seconds, 210 milliliters of slushy remained.

divide the original by the seconds then the answer by the left over. And then you get your answer.

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2 years ago
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Point G is on segment FH such that it partitions segment FH into a ratio of 2:3.Point F is located at (5, 7) and point H is loca
Margarita [4]

Answer:

G = (9.4, 9,4)

Step-by-step explanation:

The ratio is applied in the x-distance and the y-distance. The ratio is 2:3 so you have to divide the distances by 5 and 2/5 correspond to FG and 3/5 to GH

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= (9.4, 9.4)

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2 years ago
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