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2 years ago

Prime factorization

Mathematics

1 answer:

MAVERICK [17]2 years ago

3 0

Answer:

Step-by-step explanation:

31 is a prime number meaning the only factors it has are 1 and itself, 31. If we take its factors 1 and 31 and multiply them together, we get 31.

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What property does 5(a) = a(5) belong to?

mote1985 [20]

Answer:

Commutative Property for Multiplication

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1 year ago

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A right rectangular prism is 5 1/4in. wide, 12 1/2.in long. and 4 in tall,What is the volume of the prism?

Lera25 [3.4K]

(5 1/4 in)(12 1/2 in)(4 in)

(21/4)(25/2)4=262.5 in^3

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3 years ago

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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.

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3 years ago

The slope of the line whose equation is x + y = 6 is: -1 1 6

nadya68 [22]

Answer:

the slope of the line x+y = 6 is -1.

Step-by-step explanation:

slope = - coefficient of x

----------------------

coefficient of y

slope = -1 /1

slope = -1

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3 years ago

A principal of $4700 is invested at 8.25% interest compounded annually. How much will the investment be worth after 7 years?

Mariana [72]

Answer:

$7562.50

Step-by-step explanation:

4700 (1.0825)^7-1

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3 years ago