Rational function / Divide


Please draw steps and show answer

Answer:

{A1, B1, C1, A2, B2, C2, A3, B3, C3, A4, B4, C4, A5, B5, C5, A6, B6, C6}

Step-by-step explanation:

I took the test

The sample space of the compound event of spinning a spinner and tossing a six-sided number cube is {A1, B1, C1, A2, B2, C2, A3, B3, C3, A4, B4, C4, A5, B5, C5, A6, B6, C6}, the cartesian product of the sample spaces of the two events. Hence, option A is the right choice.

An ordered set of sets is used to define a Cartesian Product. It's the collection of all conceivable ordered combinations made up of one member from each of the sets.

The set containing all ordered pairs (p, q), where p is an element of P and q is an element of Q, is the Cartesian product of two sets, P and Q, represented as P*Q.

We are given that a student spins a spinner that has 3 equal sections labeled A, B, and C and then tosses a six-sided number cube.

Let the event of getting something on spinner be X.

∴ Sample space of X = {A, B, C}

Let the event of getting something on the number cube be Y.

∴ Sample space of Y = {1, 2, 3, 4, 5, 6}

The sample space of the compound event is the cartesian product of sample space of X with sample space of Y.

∴ Sample space of compound event = {A, B, C}*{1, 2, 3, 4, 5, 6}

or, Sample space = {A1, B1, C1, A2, B2, C2, A3, B3, C3, A4, B4, C4, A5, B5, C5, A6, B6, C6}.

∴ The sample space of the compound event of spinning a spinner and tossing a six-sided number cube is {A1, B1, C1, A2, B2, C2, A3, B3, C3, A4, B4, C4, A5, B5, C5, A6, B6, C6}, the cartesian product of the sample spaces of the two events. Hence, option A is the right choice.

Learn more about the Cartesian Product at

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Answer:

  C.  -2 ( x - 5)

Step-by-step explanation:

Use the distributive property to eliminate parentheses, then combine like terms. Factor the greatest common factor from the result.

  [tex]2x -\dfrac{1}{3}(12x -30)=2x-\dfrac{12}{3}x+\dfrac{30}{3}=2x-4x+10\\\\=-2x+10=\boxed{-2(x-5)}[/tex]

Answer:

c) -2 (x - 5)

Step-by-step explanation:

2x - 1/3 (12x - 30)

2x - 4x + 10

-2x + 10

-2x + 10 can be written as:

-2x + 10

-2 (x - 5)

Check your answer:

-2 (x - 5)

-2x + 10

Hope this helps!

Answer:

10

Step-by-step explanation:

it is because of Pythagoras's theorem: that the sum of the squares of the two lines that form a right angle, must add up to the square of the hypotenuse (c). So 6²+8² is 100, which is the square of 10.

Answer:

10

Step-by-step explanation:

Pythagorean Theorem tells us that (6)a^2 plus (8)b^2 = (10)c^2

6^2 = 36

8^2 = 64

36 + 64 = 100

sqrt of 100 = 10

c = 10

Answer:

-22

Step-by-step explanation:

-45 + 23 = -22

To solve for y, we need to isolate it. Start by moving all of the values on the side the y is on that don't have y to the other side (kind of confusing the way I said it). By that, I mean subtract 3x from both sides:

W = 3x + 7y

W - 3x = 7y

Now, divide both sides by 7 to find the value of y:

W - 3x = 7y

(W - 3x)/7 = y

Hope this helps! :)

Answer:

15 (I think)

Step-by-step explanation

6 x 25 = 150

20% of 150 = 30

10% of 150 = 15

30 - 15 = 15

Sorry if this is wrong.

Bye, have a great day/night.

Answer: 15

Step-by-step explanation:

Facts

6 packs

25 per pack

20% are yellow

10% are white

How many more yellow than white?

Step 1: Find total gummy bears

25x6=150

Step 2: Find how many are yellow

20% of 150= 30

Step 3: Find how many are white

10% of 150=15

Step 4: Find the difference

30-15=15

Answer:

[tex]y=8[/tex]

Step-by-step explanation:

Given the following question:

[tex](y-2)\div6=1[/tex]

To find the answer we must remember we need to isolate the variable and get it by itself, first we need to rewrite the expression and solve by using inverse of operations.

[tex](y-2)\div6=1[/tex]
[tex]\frac{(y-2)}{6} =1[/tex]
[tex]6\times0=0[/tex]
[tex]1\times6=6[/tex]
[tex](y-2)=6[/tex]
[tex]-2+2=0[/tex]
[tex]6+2=8[/tex]
[tex]y=8[/tex]

Your answer is "y = 8."

Hope this helps.

Answer:

#1 1/4

#2. 8/27

#3 3/4

Step-by-step explanation:

let the side of the square be y

Area of a square = y x y = y^2

y^2 = 1/16

y = sqrt (1/16)

y = 1/4

volume of a cube = edge length x edge length x edge length

Volume of a cube = 2/3 * 2/3 * 2/3

Volume of a cube = 8/27

volume of a cube = (edge length)^3

Edge length = cube root (volume of a cube)

Edge length = cube root (27/64)

Edge length = 3/4

Answer:

C

Step-by-step explanation:

at times when you buy items with the cheapest price some of them are fake

you can't buy a large item thats cheap and you won't use it

Answer:

Let's find the area of the rectangle below since we are given lengths.

Formula for area of a rectangle:

a = w * l, where "w" is the width and "l" is the length

The width is 24 and the length is 8 yards, so let's multiply those;

a = 24 x 8

a = 192 square yards

Now that we have found one of the areas, let's find the triangle above.

Though we are not given the base of the triangle, we can find the triangle's base by adding the other two side lengths beside it and subtract it by the total width.

The other two side lengths are 6 and 6, the total width is 24 as shown under the rectangle.

So we add the two side lengths (6 + 6) = 12, and subtract it from it's total, 24, (24 - 12) = 12

Now that we have found the base of the triangle, we must find the height of the triangle (the dotted line that runs vertically through the triangle).

The height of the rectangle is 8, the total of the dotted line that runs through both the triangle and the rectangle is 16.

Now we just subtract 8 from the total of the dotted line to get our height of the triangle, (16 - 8) = 8, finally we can find the area of the triangle.

Formula for area of triangle;

A = BH x 1/2, where "b" is the base and "h" is the height.

Replace b and h:

A = 12(8) x 1/2

A = 96 x 1/2

A = 96/2

A = 48 square yards

Since we found the area of the two shapes, we must add them to get the total area.

Area of rectangle: 192

Area of triangle: 48

We add;

192 + 48 = 240 square yards, is your answer.

Answer:

280cm^3

Step-by-step explanation:

Find the volume of the original container (490), and subtract that from the volume of the second container (770) to get 280cm^3.

The difference in the volume that the two compartments have:

280 [tex]cm^3[/tex]

Given that,

Sum of parallel sides = 15cm + 5cm

= 20 cm

Height = 7 cm

[tex]= 4 cm[/tex]

To find,

The volume of the compartment = Area of base × Height

= {(1/2) × 20} × 7}  × 7

= 490 [tex]cm^2[/tex]   ...(i)

Now,

The new compartment's height = 7 + 4

= 11 cm

Volume for the new compartment = Area of base × Height

= 70 × 11

= 770 [tex]cm^3[/tex]    ...(ii)

Now,

To find the difference in the volumes,

(ii) - (i)

= 770 - 490

= 280 [tex]cm^3[/tex]

Thus, 280 [tex]cm^3[/tex] is the correct answer.

Learn more about "Volume" here:

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Answer:light rays expand thu lends or any type of object that light can pass thu

Step-by-step explanation:

Answer: Pretty sure it's 390$

Step-by-step explanation:

(Putting this in for the points) Pythagorean theorem is calculated with x²+y², so the first is 12, the second is 17, the third is 33.5, and 20 for the fourth.

Answer:

i believe it might be 50%

Step-by-step explanation:

Answer:

FALSO

Step-by-step explanation:

bc im genius

Answer: Both

Step-by-step explanation:

Answer:

235.62

Step-by-step explanation:

First you need to find the area of the big circle as a whole the equation is

A = pir^2

you need to plug in the radius of the big circle which would be

A = pi(10)^2

which equals

314.16

Then you need to find the area of the unshaded circle in the middle using the same formula but replacing the 10 with a 5

which equals

78.54

We then subtract the 78.54 from the 314.16 and we get 235.62 which is the area of the shaded circle to the right

8/9*2/7=16/63

That is the answer.

Answer: Y= 3x-4 And Y= -3x+2 i think

Step-by-step explanation: but anyway go to my page then click on questions go to the first on  type and answer and get free points and hearts :)

Answer:

C. y=3/4x-3

Slope: 3/4

y-intercept: -3

Equation: y=3/4x-3

Make a table with x and y just like the one shown below

X:Y

0:-3

4:0

As you can see when x is 0 y equals (-3)

That (-3) is your y-intercept

Now we're going to save that for later

Then you do 0-(-3) and 4-0

You should get positive numbers of 3 and 4

Now you do y/x and that will be 3/4

That 3/4 is your slope

We're going to bring back that (-3) we got earlier and make the equation

The equation is y=3/4x-3

Make sure that you check your work as well

I hope you understand what I'm saying here :)

Answer:

16 boxes of candy

Step-by-step explanation:

since 12 inches fit in one foot, 3 inches are basically 3/12 or 1/4

the volume of the locker = width x depth x height. 2x2x5=20

20 divided by 1 1/4=20 divided by 5/4=20*4/5=80/5=16

Answer:

20 boxes of fundraising candy can fit in his locker.

Step-by-step explanation:

because V= l x w x h.  2 x 2 x 5= 20, since you know that the volume is 1. Divide 1 and 20, you still get 20.

Answers:

1. 12m^2 and 8m^3

2. a=v+3, l=v-2

3. No

4. 4.5mm^2

Step-by-step explanation:

1. Surface area:

2m^2 (area of face) * 6 (# of faces)

=12m^2 or 12 square meters.

Volume: (2m)^3=8m^3 or 8 cubic meters.

2. a=v+3, l=v-2

because if we rewrote exactly what the problem says, "Anna is 3 years older than Vickie" that is mathematically a=v+3. Do the same with the other equation.

3. 5.275+8.36g when g=120 is 5.275+1003.2, or 6.278.2, which is more than 6000, so the bridge would not hold Melinda's truck and 120 gallons of water.

4. 2s^2 + 4sh when s=0.5mm and h=2mm:

2*0.25mm^2+4*0.5mm*2mm

=0.5mm^2+4mm^2

=4.5mm^2

I hope I explained these problems well enough. Happy mathing!

Answer:

The answer is d

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Answer: It will take Mike 72 minutes to read 45 pages.

Plz mark brainliest:)

Answer:

The answer is $5,788.13

Answer:

The below graph should model t = m + 1.5. I'm pretty sure this is correct. I just replaced t with y and m with x.