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3 years ago

Find the union {6, 11, 15} U Ø

Mathematics

1 answer:

astra-53 [7]3 years ago

7 0

<h3>Answer: {6, 11, 15}</h3>

Explanation:

The Ø means "empty set". It's the set with nothing inside it, not even 0.

We can write Ø as { } which is a pair of curly braces with nothing between them.

The rule is that if we union any set A with Ø, then we'll get set A

A U Ø = A

Ø U A = A

In a sense, it's analogous to adding 0. So it's like saying A+0 = A and 0+A = A.

So that's why {6, 11, 15} U Ø = {6, 11, 15}

There's nothing to add onto the set {6, 11, 15}, so we just get the same thing back again.

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Valarie made fruit drinks for a birthday party. She used 3/6 of a cup of grape juice, 5/6 of a cup of strawberry juice, and 2/6

Nana76 [90]

Answer:

Valarie make $1\frac{2}{3}\ cups$ of fruit drink.

Step-by-step explanation:

Given:

Valarie made fruit drinks for a birthday party.

She used 3/6 of a cup of grape juice, 5/6 of a cup of strawberry juice, and 2/6 cup of soda. She mixes all the juices together.

Now, to find cups of fruit drink Valarie make.

As given that she mixes all juices altogether.

So, to get the cups of fruit drink we add all quantities of juice:

3/6 cup of grape juice + 5/6 cup of strawberry juice + 2/6 cup of soda.

$=\frac{3}{6} + \frac{5}{6} +\frac{2}{6}$

$=\frac{3+5+2}{6}$

$=\frac{10}{6}$

Dividing numerator and denominator by 2 we get:

$=\frac{5}{3} =1\frac{2}{3}$

Therefore, Valarie make $1\frac{2}{3}\ cups$ of fruit drink .

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4 years ago

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mash [69]

Answer:

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Step-by-step explanation:

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4 years ago

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3 years ago

How do i do this???????????????????????????????????

Karo-lina-s [1.5K]

Answer:

The y-intercept is (0, -6).

Step-by-step explanation:

The question is asking you to find the equation of the line that passes through the point (7, 1) and is parallel to line j, which means that the line has the same slope as line j.

To find the slope of line j, you would use the slope formula: $\frac{y_2-y_1}{x_2-x_1}$ .

Use the points on line j: (4, 1), (-3, -6). Substitute in -6 for $y_2$ and 1 for $y_1$ . Substitute -3 for $x_2$ and 4 for $x_1$ .
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The slope of line j is 1, therefore the equation of the line we are writing will also have a slope of 1 since they must be parallel.

To write the equation of the line, use the point-slope formula because we are given the two things in the name of the formula---a point that the line passes through (7, 1) and the slope of the line (1).

Point-slope form is $y-y_1=m(x-x_1)$
Substitute 1 for $y_1$ , 1 for m, and 7 for $x_1$ .
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Distribute 1 inside the parentheses.
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Add 1 to both sides of the equation.
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The question wants you to find the y-intercept of the equation. To find the y-intercept, make x = 0.

y = (0) - 6
Subtract 0 - 6.
y = -6

A point is shown as (x, y). We made x = 0 and found that y = -6, so if you substitute these values into (x, y) the y-intercept will be (0, -6).

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4 years ago

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ololo11 [35]

Step-by-step explanation:

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m - (-4) > n - (-4) TRUE

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16.5 + m > 16.5 + n TRUE

m > n → 3 + m > n logic

3 + m > n add 6 to both sides

9 + m > 6 + n TRUE

8 0

3 years ago

Read 2 more answers

Find the union {6, 11, 15} U Ø​

Find the union {6, 11, 15} U Ø