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3 years ago

Let X and Y be the following sets: X = {0, 12, 23} Y = {3, 12, 15) Which of the following is the set X/Y?

Mathematics

1 answer:

Ivahew [28]3 years ago

3 0

Answer:

set X/Y = {0,23}

Step-by-step explanation:

We are given the sets;

X = {0, 12, 23}

Y = {3, 12, 15}

Now, we want to find the set X/Y.

The set X/Y means the set that has numbers which are only in set X but not in set Y.

The numbers from inspection of both sets are 0 and 23.

Thus;

set X/Y = {0,23}

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Answer:

The original dimensions of the piece of metal are

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Width: 21 inches

Step-by-step explanation:

Let

x ----> the original length pf the piece of metal

y ----> the original width pf the piece of metal

we know that

$x=y+15$ ----> equation A

The volume of the box is equal to

$V=LWH$

we have

$V=1,350\ in^3$

$L=(x-3-3)=(x-6)\ in\\W=(y-3-3)=(y-6)\ in$

$H=3\ in$

substitute in the formula of volume

$1,350=(x-6)(y-6)(3)$ ----> equation B

substitute equation A in equation B

$1,350=(y+15-6)(y-6)(3)$

solve for y

$450=(y+9)(y-6)$

$y^2-6y+9y-54=450\\y^2+3y-504=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=21

Find the value of x

$x=21+15=36$

therefore

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

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3 years ago

Samantha owes her father $7 she just got paid $5.50 for babysitting if she gives that money to her dad how much will she still o

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Step-by-step explanation:

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Which expression shows the prime factorization of 40?

Stella [2.4K]

B. 2 time 2 is 4 , 4 times two is 8, 8 times five is 40

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Read 2 more answers

What percent of 56 is 35 shirts

9966 [12]

62.5% of 56 is 35

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Convert the decimal to a percentage:
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3 years ago

At camp last summer, the ratio of boys to girls was 5:4. If there was a total of 90 campers, how many girl campers are there? ex

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if you multiply 5 times 10, then you have to multiply the other side by 10 too. So 5 times 10 equals 50, and 4 times 10 equals 40.

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3 years ago

Let X and Y be the following sets: X = {0, 12, 23} Y = {3, 12, 15) Which of the following is the set X/Y?​

Let X and Y be the following sets: X = {0, 12, 23} Y = {3, 12, 15) Which of the following is the set X/Y?