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torisob [31]
2 years ago
13

If set A contains four distinct numbers and set B contains seven distinct letters, how many elements are in (A U B)?​

Mathematics
1 answer:
-Dominant- [34]2 years ago
4 0

There are 11 elements are in (A U B)

<h3>How to determine the number of elements?</h3>

The given parameters are:

n(A) = 4

n(B) = 7

The number of elements in (A U B) is calculated using:

n(A U B) = n(A) +n(B) - n(A U B)

Given that the sets have distincts elements, we have:

n(A U B) = 4 + 7 - 0

Evaluate

n(A U B) = 11

Hence, there are 11 elements are in (A U B)

Read more about sets at:

brainly.com/question/2166579

#SPJ1

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We want to calculate the number of baskets to which chloe can make.

Note that we have 42 oranges, 24 apples and 18 bananas, and since we are splitting them into the number of baskets, it must happen that the each number is a multiple of the number of baskets.

We will check each option to find out if the numbers are a multiple of the number. Then we will take the greatest to number to which all of them are a multiple.

Case 2: Note that 42= 21*2, 24=12*2 and 18 = 9*2 so all of them are multiples of 2.

So, so far the greatest number is 2.

Case 3:

Note that 42 = 3*14, 24 = 8*3 and 18 = 6*3. So all of them are multiples of 3.

So, so far the greatest number is 3.

Case 6:

Note that 42 = 6*7, 24 = 6*4 and 18 = 6*3. So all of them are multiples of 3. So, so far the greatest number is 6.

Case 8:

Note that 24=8*3. But neither 18 o 42 are multiples of 8. So, this can't be an option.

So, this means that the most number of fruit baskets Chole can make is 6, since 6 divides evenly all three numbers (42,24 and 18)

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If you solve an equation and get an answer like x=-4, how many solutions does it have?
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An expression is defined as a set of numbers, variables, and mathematical operations. The value of x for which the expression (x-1)(x-7)=0 is 1 and 7.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

For the given expression, (x-1)(x-7), the value of x for which the expression will be equal to 0 can be found by equation the factors of the expression to 0. Therefore,

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Hence, the value of x for which the expression (x-1)(x-7)=0 is 1 and 7.

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