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creativ13
2 months ago
14

Suppose we are given 4 sets A, B, C, D such that A ⊆ B and C ⊆ D such that A and C have no elements in common. Prove or give a c

ounterexample to the assertion that A and D also have no elements in common.​
Mathematics
1 answer:
babunello [11.8K]2 months ago
8 0

Here’s a counterexample: consider

B = \{1, 2, 3, 4, 5\},\quad D = \{A, B, C, D, 5\}

Select the subsets in the following manner:

A = \{1, 5\},\quad C = \{A, B, C\}

It's accurate that A\subseteq B and C\subseteq D and that A\cap C=\emptyset, but A\cap D = \{5\}

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Sarah and her children went into a movie theater and she bought $35.50 worth of drinks and candies. Each drink costs $5 and each
AnnZ [12381]

Answer:

Sarah purchased 2 drinks and 6 candies.

Step-by-step explanation:

Let

x ----> the quantity of drinks Sarah bought.

y ----> the number of candies acquired by Sarah.

We know that

the total spent on drinks and candies was $35.50

therefore,

5x+4.25y=35.50 -----> equation A

She bought 3 times more candies compared to drinks.

thus,

y=3x -----> equation B

To resolve the equations graphically

The solution lies at the intersection of the two graphs

utilizing a graphing tool

The result is the coordinate (2,6)

therefore,

Sarah bought 2 drinks and 6 candies.

4 0
2 months ago
The table shows the last holiday destination of 60 people.
Svet_ta [12734]

Answer:

Step-by-step explanation:

6 0
1 month ago
The perimeter of a rectangle is 202. The length is 26 more than 4 times the width. Find the dimensions
Inessa [12570]

Answer:

P = 2*(26+4y) + 4y

Upon solving for y, we find:

202= 52 +8y +4y

202= 52 +12 y

By substitution, we have:

150 = 12y

Thus, we arrive at:

y = \frac{150}{12}= 12.5

And for x, we determine:

x = 26 +4*12.5 = 76

This gives us a length of 76 and a width of 12.5.

Step-by-step explanation:

We are dealing with a rectangle. The formula for the perimeter is:

P= 2x+2y

Here, x denotes the length and y the width. The following conditions can be established:

x = 26 +4y

Substituting these values yields:

P = 2*(26+4y) + 4y

When we solve for y, we find:

202= 52 +8y +4y

202= 52 +12 y

By substitution, we obtain:

150 = 12y

Thus, we conclude:

y = \frac{150}{12}= 12.5

The length is found to be 76, while the width measures 12.5.

6 0
2 months ago
A parallelogram has sides 24m and 5m. The height corresponding to a 24m base is 4m. What is the height corresponding to a 5m bas
Inessa [12570]
To resolve this issue, you simply multiply base 1 by height 1, which equals base 2 multiplied by height 2. Inserting our values yields 24 * 4 = 5 * height 2. By solving, we find the missing height to be 19.2. 
3 0
2 months ago
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