The table below shows the number of marbles of different colors in a bag:Marble Experiment

Color of
Marbles

Number of
Marbles

Red

5

White

8

Black

2

Deja draws a marble from the bag randomly without looking. She then draws another marble from the bag without replacing the first one. Which expression shows the probability of drawing red marbles in both the trials?

5 over 15 multiplied by 4 over 14
5 over 15 multiplied by 4 over 15
5 over 15 added to 4 over 14
5 over 15 added to 4 over 15

Vincent is giving cakes to some children at a carnival. He has 2 strawberry cakes, 6 pineapple cakes, and 7 chocolate cakes. If Vincent selects a cake randomly without looking, what is the probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child?

6 over 15 multiplied by 2 over 14 is equal to 12 over 210
6 over 15 plus 2 over 14 is equal to 114 over 210
6 over 15 multiplied by 2 over 15 is equal to 12 over 225
6 over 15 plus 2 over 15 is equal to 8 over 15

Answers

Answer 1

Answer: There are a total of 5+8+2=15 marbles. There's a 5/15 chance of drawing a red marble in the first trial. Then, there are 4 red marbles and 14 total marbles left, so afterwards, there's a probability of 4/14 that the second marble is red. The probability overall is found by multiplying these together, so the first answer is the best.

There are 2+6+7=15 cakes. There's a 6/15 chance that the first cake selected will be a pineapple cake, and then a 2/14 chance that the second cake selected will be a strawberry cake, by the same logic as above. This is equal to 12/210. The first answer is the best option.

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A national park covers 218,375 acres. What is this number written in expanded form

Answers

200,000+10,000+8,000+300+70+5 is 218,375 in expanded form!!!

200,00 + 10,000 + 8,000 + 300 + 70 + 5

Solve by substitution {x-4y=22} and {4x-5y=22}

Answers

x - 4y = 22
Add 4y to each side
x = 22 + 4y

Now replace x with 22 + 4y in the second equation.
4(22 + 4y) - 5y = 22
Distribute.
88 + 16y - 5y = 22
Simplify.
88 + 11y = 22
Subtract 88 from each side.
11y = -66
Divide by 11.
y = -6

Plug in -6 for y in an earlier equation and solve for x.
x-4(-6)=22
Negative 4 times negative 6 = 24 (the negatives cancel)
x+24=22
Subtract 24 from each side.
x = -2

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Answers

Answer:

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If x is not equal to zero, what is the value of 4(3x)^2/ (2x)^2

Answers

we can write it like this:

$(4*(3x)*(3x))/((2x)(2x))$

if x isn't 0, we can divide both sides by x:

$(4*(3x)*(3))/((2x)(2))$

and again

$(4*(3)*(3))/((2)(2))$

and now we can calcuate

$(4*9))/(4)$

and divide both sides by 4.

We're left with 9!!

so the solution is 9!

6=j/8
What is the answer to that

Answers

you have to mulitiply 6 times 8 which equals 48 and thats your answer.

Hello there! :)

Answer:

j=48

*The answer must have a positive sign.*

Step-by-step explanation:

First, you switch sides.

$(j)/(8)=6$

Then, you multiply by 8 from both sides of an equation.

$(8j)/(8)=6*8$

Multiply by the numbers from left to right.

$6*8=48$

Final answer is j=48

Hope this helps!

Have a nice day! :)

-Charlie

Thanks!

Write 10 feet and 6 yards as a fraction in simplest form

Answers

10 feet and 6 yards as a fraction in simplest form is 5/9.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, 10 feet and 6 yards.

We know that, 1 yard =3 feet

Then, 6 yards =18 feet

Now, the fraction for 10 feet and 6 yards is

10/18

= 5/9

Therefore, the fraction is 5/9.

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1 yard is 3 feet
4 yards is 12 feet
so 6' to 12' is 6/12
or 1/2

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Four more than the price,p