If A = {x | x is an even integer}, B = {5, 6, 7, 8}, list the elements of the set A U B

1 answer:

4 0

First of all, what is an integer?

Integers are numbers such as -7, -4, 0, 5, 16... etc...

This means that even integers are numbers such as:

-4, -2, 0, 2, 4, 6, 8, 10... etc...

Which means that:

AUB={..., -4, -2, 0, 2, 4, 5, 6, 7, 8, 10, 12, 14, ...}

This is because:

The union "<span>U</span>" of two sets must contain all the numbers from both sets, providing they aren't duplicated.

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Andrea has 18 yards of fabric how many 4 inch pieces can she cut from her original piece

Nikolay [14]

Andrea can cut 4 1/2 (or 4.5) inch pieces from her original piece.

18/4 = 4.5

Hope this helps!

5 0

3 years ago

Daniel uses \large \frac{2}{3}cup of orange juice for every \large \frac{1}{4}cup of carrot juice to make his drink. Enter the n

USPshnik [31]

Answer:

$\dfrac{8}{3}\ \text{cups of orange juice}$ or $2\dfrac{2}{3}\ \text{cups of orange juice}$ is used

Step-by-step explanation:

Daniel uses the proportions of $\dfrac{2}{3}$ cups of orange juice and $\dfrac{1}{4}$ cups of carrot juice to make a mixed juice.

Now, in the question 1 cup of carrot juice is used. So 4 times of the proportion of the carrot juice is used. Accordingly 4 times of the cups of orange juice will be used.

$\dfrac{2}{3}\ \text{cups of orange juice}=\dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow 4\times \dfrac{2}{3}\ \text{cups of orange juice}=4\times \dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow \dfrac{8}{3}\ \text{cups of orange juice}=1\ \text{cup of carrot juice}$