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VikaD [51]
3 years ago
13

In a survey of 24 college students, it was found that 15 were taking an English class, 13 were taking a mathclass, and 8 were ta

king both English and math. How many students were taking a math class only?Howmany students were taking an English class only? How many students were taking nei
Mathematics
1 answer:
bulgar [2K]3 years ago
4 0

Answer:

Step-by-step explanation:

Given that total students =23.

15 have taken English, 13 Math and 8 both

number of students taking math only = total math - students who have taken both

= 13-8 = 5

Number of students taking English only = total English - students who have taken both

= 15-8 =7

Now we divided into 3 disjoint partitions as only Math, only English and both.

Thus no of students who have taken either math or english = 7+5+3 = 15

No of students who have taken neither = 24-15 = 9

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High grade steel consists of 85% iron and 15% magnese. Low grade steel consists of 67% iron and 33% mag ese. NASA orders 500 ton
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Answer:

361\dfrac{1}{9} tons of high steel and 138\dfrac{8}{9} tons of low steel

Step-by-step explanation:

Let x be the number of tons of high grade steel and y be the number of tons ow low grade steel needed.

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0.85(500-y)+0.67y=400\\ \\425-0.85y+0.67y=400\\ \\-0.18y=-25\\ \\y=\dfrac{2,500}{18}=138\dfrac{8}{9}\ tons\\ \\x=361\dfrac{1}{9}\ tons

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