Suppose that 5 green balls and 10 purple balls are placed in an urn. Two balls are then drawn in succession. What is the probability that both balls drawn have the same color if the first ball is replaced before the second is drawn

Answer:

xz=cb            = 45/60 = .75

zy=ab            = 30/40 = .75

xy=ac             = 37.5/50 = .75

Step-by-step explanation:

all lines when put into ratio format show .75 scale factor big to little triangle side lengths.

Answer:

2(2x^2 + 7)

Step-by-step explanation:

The GCF is 2.

2(2x^2 + 7)

Answer:

Top-

11.5 or the square root of 133

Bottom-

15.3 or the square root of 235

Answer:

c) [tex]x=\sqrt{133}[/tex]

d)[tex]x=\sqrt{235}[/tex]

Step-by-step explanation:

Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]

c) Solve for that side length and then solve for x

[tex]4^2+y^2=10^2\\y=\sqrt{133} \\(\sqrt{84} )^2+7^2=x^2\\x=\sqrt{133}[/tex]

d) Solve for that side length and then solve for x

[tex]5^2+y^2=10^2\\y=\sqrt{(16^2-5^2)} \\(\sqrt{231} )^2+7^2=x^2\\x=\sqrt{235}[/tex]

Answer:

n=7

[tex]3 {n}^{2} = 147 \\ {n}^{2} = \frac{147}{3} \\ \sqrt{ {n}^{2} } = \sqrt{49} \\ n = 7[/tex]

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Since there are a total of 4 colors, and there are 5 of each colors, the total marbles in the bad would be;

5 x 4 = 20

If a color is selected at random the probability would be

[tex]\frac{part}{whole}[/tex]

our part is 5

our whole is 20

so the probability would be;

[tex]\frac{5}{20}[/tex] or [tex]\frac{1}{4}[/tex] when reduced

Hope this helps!

Answer  

1/4

Step-by-step explanation:

I dont know im just guessing sorry

I might not be correct.

Answer:

D) x^2 + 4x - 21 = 0

Step-by-step explanation:

Answer:

B is the answer you were right

so sorry if I am wrong but I am really sure that is the answer

Answer:

a and c

Step-by-step explanation:

Answer:

B) -6

Step-by-step explanation:

5/6 x 8 = 5/6 x 8/1 = 40/6 / 2 = 20/3 = 2/3 - 20/3 = -18/3 / 3 = -6

The fifth partial sum represents the sum of the first 5 terms in the sequence is equal to 2210.

The fifth partial sum represents the sum of the first 5 terms in the sequence.

The partial sum of a sequence gives the sum of the first n terms in the sequence.

Thus, the fifth partial sum represents the sum of the first 5 terms in the sequence.

The given geometric sequence :

$400, $420, $441, $463, and $486.

The fifth partial sum of the above sequence will be :

$400+ $420+ $441+$463+$486=$2210

Therefore, the fifth partial sum represents the sum of the first 5 terms in the sequence equal to 2210.

To learn more about the sequence visit:

https://brainly.com/question/7882626

Answer:

Add the five terms.

Use the formula for the fifth partial sum.

The fifth partial sum represents the total amount of money the athlete earns over the first five years.

Step-by-step explanation:

Answer:

13 times?

Step-by-step explanation:

From 5 1/2 to 8 1/2 she needs to add 3 * 4 = 12 times since 1 paint = 4 pint

then she just needs to add 1 more to become 8 3/4

12 + 1 = 13

The order is 0 -> 1/4 -> 1/2 -> 3/4 -> 1

[tex]4x-5 = 3[/tex]

[tex]4x = 8[/tex]

[tex]x = 8÷4[/tex]

[tex]x = 2[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \large \textbf{Let's evaluate~} [/tex]

Hey there!

4 + 5x + 66 = x + 10

70 + 5x = x + 10

5x + 70 = x + 10

SUBTRACT x to BOTH SIDES

5x + 70 - x = x + 10 - x

5x + 70 - 1x = 1x + 10 - 1x

SIMPLIFY IT!
4x + 70 = 10

SUBTRACT 70 to BOTH SIDES

4x + 70 - 70 = 10 - 70

SIMPLIFY IT!
4x = -60

DIVIDE 4 to BOTH SIDES

4x/4 = -60/4

SIMPLIFY IT!
x = -60/4

x = -15

Therefore, your answer is: x = -15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Given :

#1 : Combine like terms on each side.

#2 : Subtract x from each side.

#3) Subtract 70 from each side.

#4) Divide 4 from each side.

Solution : x = -15

Answer:

[tex]8\frac{2}{6}\\\\2\frac{1}{5}[/tex]

Fractions are sometimes the same as dividing, for this case, that rule applies.

[tex]\frac{50}{6}\\\\\frac{11}{5}[/tex]

↑ These improper fractions translate to...

[tex]\frac{50}{6} = 8\frac{1}{3} -- > 8\frac{2}{6} \\\\ \frac{11}{5} = 2\frac{1}{5}[/tex]

Answer:

1)  D. 8 2/6 hotdogs

2)  B. 2 1/5 cakes

Step-by-step explanation:

1) If she's dividing 50 hotdogs equally among 6 people, then you would divide 50 by 6 to find how many each person gets.
note: 50 ÷ 6 is the same as [tex]\frac{50}{6}[/tex].

[tex]\frac{50}{6}[/tex] =  [tex]8\frac{2}{6}[/tex]

6 can go into fifty 8 times, so there is a whole number of 8. There is 2/6 left over, so the final result is [tex]8\frac{2}{6}[/tex].

2) If Sako makes 11 cakes and wants to share it equally among 5 people, we can divide 11 by 5 to find how many each person gets.

[tex]\frac{11}{5} =2\frac{1}{5}[/tex]

5 can go into eleven 2 times, so there is a whole number of 2. There is 1/5 leftover, so the final result is [tex]2\frac{1}{5}[/tex].

Hence, the answers are D, and B.

hope this helps!

Answer:

See below

Step-by-step explanation:

1/3 (300000) = 100 000      80% of this = 80 000

2/5 (300000) = 120000    125% of this = 150 000    total so far = 230 000

Overall 10% profit would yield  300000(1.1) = 330 000

 the remaining land needs to sell for

    330 000 - 230000 =    100 000

Answer:

He had 31 points in the first round.

Step-by-step explanation:

Answer:

39-8= 31

Step-by-step explanation:

let the first round be x

second round =8

first round + the second round = 39

therefore, x+8=39

collect like terms

x= 39-8= 31.

so the answer is 31

Answer:

There is a one in six chance that a randomly selected radio plays country music.

Step-by-step explanation:

There is a 3/18 chance but that can be simplified if you divide both sides by 3 to get 1/6

Answer:

cosB = cos (π/2-A)

= sinA

=8/9

Step-by-step explanation:

The inequality that represents the possible combinations of candy bars and  lollipops that he can buy is given by:

[tex]0.45x + 0.25y \leq 28[/tex]

The total price can be no more than $28, hence:

[tex]T \leq 28[/tex]

Each candy bar costs $0.45 and each lollipop costs $0.25. x is the number of candy bars and y of lollipops. Hence, the total price is given by:

T = 0.45x + 0.25y.

Hence, the inequality that models the situation is:

[tex]0.45x + 0.25y \leq 28[/tex]

More can be learned about inequalities at brainly.com/question/25235995

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x=3i, -3i

Answer: A

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

Given

Solving

Answer:

[tex]\dfrac{1}{12}[/tex]

Step-by-step explanation:

Rewrite the denominators as products of factors, then cancel the common factors.

[tex]\begin{aligned}\dfrac{5}{14} \times \dfrac{7}{30} & =\dfrac{5}{2 \cdot 7} \times \dfrac{7}{6 \cdot5}\\\\ & = \dfrac{5 \cdot 7}{2 \cdot 7 \cdot 6 \cdot 5}\\\\ & = \dfrac{1}{2 \cdot 6}\\\\ & = \dfrac{1}{12}{\end{aligned}[/tex]

Answer:

A. : True hope this helps someone

Step-by-step explanation:

A tessellation could be created using parallelograms like the one shown below is true.

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Tessellations can be created using a variety of shapes, including parallelograms.

A tessellation is a repeating pattern of shapes that completely covers a plane without any gaps or overlaps.

In a parallelogram tessellation, the parallelograms would fit together like puzzle pieces to fill the plane.

Thus,

A tessellation could be created using parallelograms like the one shown below is true.

Learn more about parallelograms here:

https://brainly.com/question/1563728

#SPJ5

Step-by-step explanation:

what happens, when we actually calculate the given fractions ?

after all, a fraction is always a division.

so,

1/3 = 0.3333333333...

1/25 = 0.04

1/5 = 0.2

1/4 = 0.25

aha !

1/4 is the correct answer.