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rusak2 [61]
3 years ago
8

In the after school Dena, Shawn, and Amanda knit scarfs that are the same size with yellow, white, and blue yarn. Denas scarf is

2/5 yellow, Shawn's scarf is 3/5 , and Amanda's scarf is 3/4 yellow. The rest of each scarf has an equal amount of white and blue. Describe how Amanda could make her argument that her scarf has the most yellow.
Mathematics
1 answer:
jenyasd209 [6]3 years ago
8 0

Answer:

\frac{8}{20}

Step-by-step explanation:

We have been given that in the after school Dena, Shawn, and Amanda knit scarfs that are the same size with yellow, white, and blue yarn. Denas scarf is 2/5 yellow, Shawn's scarf is 3/5 , and Amanda's scarf is 3/4 yellow.

To make Amanda's argument true, let us compare each fraction by making a common denominator.

We can see that least common denominator of each fraction would be 20.

\text{Dena's scarf}=\frac{2}{5}\Rightarrow\frac{2*4}{5*4}=\frac{8}{20}

\text{Shawn's scarf}=\frac{3}{5}\Rightarrow\frac{3*4}{5*4}=\frac{12}{20}

\text{Amanda's scarf}=\frac{3}{4}\Rightarrow\frac{3*5}{4*5}=\frac{15}{20}

Since \frac{8}{20} , therefore, Amanda's scarf has the most yellow.

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Solution :

We have to prove that $\overline{A \cup B} = \overline{A} \cap \overline{B}$   (De-Morgan's law)

Let  $x \in \bar{A} \cap \bar{B}, $ then $x \in \bar{A}$ and $x \in \bar{B} $

and so $x \notin \bar{A}$ and $x \notin \bar{B} $.

Thus, $x \notin A \cup B$ and so $x \in \overline{A \cup B}$

Hence, $\bar{A} \cap \bar{B} \subset \overline{A \cup B}$   .........(1)

Now we will show that $\overline{A \cup B} \subset \overline{A} \cap \overline{B}$

Let $x \in \overline{A \cup B}$ ⇒ $x \notin A \cup B$

Thus x is present neither in the set A nor in the set B, so by definition of the union of the sets, by definition of the complement.

$x \in \overline{A}$ and  $x \in \overline{B}$

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From (1) and (2),

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3 years ago
At a farm the ratio of cows to horses was 7:2. If there were 21 cows at the farm, how many horses were there?
beks73 [17]

Answer: 6 horses bc you just have to multiply by 3

6 0
3 years ago
Read 2 more answers
Can someone help me with number 8 plz ​
Fittoniya [83]

Answer:

7/23

Step-by-step explanation:

Multiples of 4 are 4 and 8

4 was spun 4 times

8 was spun 3 times

total spins = 2+3+2+4+5+3+1+3=23

P( 4 or 8) = number of times spun / total

                = (4+3) / 23

                  =7/23

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Find the approximate side length of a square game board with an area of 131 in2.
eduard

Answer:

11.4

Step-by-step explanation:

You find the square root

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If x is an even number, the function f(x) = 2x − 1 gives an odd number. Identify the set of odd numbers corresponding to this se
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X = {0, 2, 4, 6, 8}.

=> f(x) = 2x - 1


x                  f(x) = 2x - 1

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Answer: {-1, 3, 7, 11, 15}
4 0
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