<span>There are 8 students in both Eng and Math.
There are 6 students in both Math and Sci.
There are 5 students in both Eng and Sci.
There are 2 in all the clubs.

Using the Venn diagram, you can determine the number of students in one club only.
There is 1 student in Eng only.
There are 4 in Math only.
There are 3 in Sci only.

The total would be 29 students in at least one of the clubs.</span>

3 0

3 years ago

If the distance from the Sharks to the dolphins is 12ft, what is the distance from

IceJOKER [234]

Answer:

Step-by-step explanation:

So first we notice that the traingles are similar which makes my work much easier.

27:42 can be simplified to 9:14.

That means x is 28

And sharks to dolphins is 12.

That means the smaller triangle is 27 18 12 and the bigger triangle is 42 28 and x. Try and do it yourself if you can't just comment and I'll help you :)

5 0

3 years ago

At a school with 100? students, 33 were taking? Arabic, 32 ?Bulgarian, and 40 Chinese. 9 students take only? Arabic, 12 take onl

Stels [109]

Answer: The answer is 4 and 32.

Step-by-step explanation: Let "A", "B" and "C" represents the set of students who were taking Arabic, Bulgarian and Chinese respectively.

The, according to the given information, we have

$n(A)=33,~~n(B)=32,~~n(C)=40,~~n(A\cap B)=14.$

Let 'p' represents the number of students who take all the three languages, then

$n(A\cap B\cap C)=p.$

Also,

$n(A)-n(A\cap B)-n(A\cap C)+n(A\cap B\cap C)=9\\\\\Rightarrow n(A\cap B)+n(A\cap C)=24+p~~~~~~~~~~~~~~(a),\\\\n(A\cap B)+n(B\cap C)=20+p~~~~~~~~~~~~~~(b),\\\\n(B\cap C)+n(A\cap C)=20+p~~~~~~~~~~~~~~~(c).$

From here, we get after subtracting equation(c) from (b) that

$n(A\cap B)=n(A\cap C)=14.$

Therefore,

$p=14+14-24=4,$ and from equation (a), we find

$n(B\cap C)=24-14=10.$

Thus,

$n(A\cap B\cap C)=4$ and

$n(A\cup B\cup C)=n(A)+n(B)+n(C)-n(A\cap B)-n(B\cap C)-n(A\cap C)+n(A\cap B\cap C)\\\\\Rightarrow n(A\cap B\cap C)=33+32+40-9-12-20+4\\\\\Rightarrow n(A\cap B\cap C)=68.$

Thus, the number of students who take all the three languages is 4 and the number of students who take none of the languages is 100-68 = 32.

5 0

3 years ago

Keri has $30.67. She goes to Target and buys a pack of pencils for $2.38 and an eraser for 56 cents. How much money did Keri spe

AlekseyPX

Answer:

Keri spent $2.94 and Keri now has $27.73.

Step-by-step explanation:

$2.38+$0.56= $2.94

$30.67-$2.94=$27.73

6 0

3 years ago