There are 10 marbles in a bag, and the marbles are either red or blue. Eric will randomly choose two marbles from the bag, without replacing the first one. If the probability of both marbles' being red is 2
15, how many RED marbles are in the bag?

Answers

Answer 1

Answer: Let the number of red marbles be r. Now we can write the equation:
$(r)/(10)*(r-1)/(9)=(2)/(15)$
Rearranging the above equation and simplifying gives the quadratic:
$r^(2)-r-12=0$
which factorizes to:
(r - 4)(r + 3) = 0
Therefore r = 4. there are 4 RED marbles in the bag.

Answer 2

Answer:

Answer:

Step-by-step explanation:

BECAUSE.

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The greatest common factor of 3m2n + 12mn2 is
Someone Please Help!!! A barrel of tomato sauce has spilled on a tile floor. The sauce flow can be expressed with the function r(t) = 2t, where t represents time in minutes and r represents how far the sauce is spreading. The spilled sauce is creating a circular pattern on the tile. The area of the pattern can be expressed as A(r) = πr2. Part A: Find the area of the circle of spilled sauce as a function of time, or A[r(t)]. Show your work. (6 points) Part B: How large is the area of spilled sauce after 5 minutes? You may use 3.14 to approximate π in this problem. (4 points)

The school cafeteria serves tacos every 60 and cheeseburgers every eighth day.If tacos and cheeseburgers are both on today's menu, and how many days will the next serve tacos and cheeseburgers on the same day?

Answers

Answer:

120 days

Step-by-step explanation:

Tacos are served every 60 days.

Cheeseburgers are served every 8 days.

Since, both Cheeseburgers and Tacos are served today, the next day on which both will be served is gotten by finding the Lowest Common Multiple of 60 and 8.

To find the LCM,

First, we express the numbers as a product of their prime factors.

60= 2X2X3X5=2²X3X5

8=2X2X2=2³

Next, we take each of the term with the highest power and multiply.

L.C.M = 2³X3X5=120

After 120 days, Cheeseburgers and Tacos will be served on the same day.

Please help me with this math question?? :)The measure of each exterior angle of a regular octogon is _____ the measure of each exterior agle of a regular hexagon.

A. Greater than
B. Less than
C. Equal to

Answers

$\bf \textit{exterior angle of a regular polygon}\n\n\n\theta=\cfrac{360}{n}\qquad \begin{cases}\theta=\textit{the angle in degrees}\nn=\textit{number of sides}\end{cases}$

now, an OCTAgon, has OCTA=8, sides
an HEXAgon, has HEXA=6, sides

check what their external angles are, and compare :)

Solve this equation: x+21=20

Answers

Hey there!

x+21=20

x=20-21

x=-1

Hope this helps you!

#HaveAnAmazingDay

$GraceRosalia$

Answer:

x=20-21

x= -1

hope helps... :)

PLEASE HELP ME FIGURE THIS OUT 1..

Answers

Answer: π/6

Step-by-step explanation:

sec θ = $(2)/(√(3))$

sec = $(1)/(cos)$

⇒ $(1)/(cos)$ = $(2)/(√(3))$

⇒ cos θ = $(√(3))/(2)$

Since it is an acute angle, then 0° > θ > 90°

Look at the Unit Circle to find that cos θ = $(√(3))/(2)$ at π/6

***********************************************************************

Answer: -300°

Step-by-step explanation:

Set up the proportion:

$(\pi )/(180) = \frac{-5\pi} {3x}$

Cross multiply and solve:

π(3x) = 180(-5π)

x = $(180(-5\pi))/(3\pi)$

x = 60(-5)

x = -300

Find the ratio of 300ml to 6l

Answers

1:20 because 1=1000ml
6x1000ml=6000
300/6000=20
So the final answer is 1:20

Which is f(5) for the function –2x2 + 2x – 3? –107 –63 –43 –37

Answers

If f(x) = - 2x² + 2x - 3, then f(5) will be
$f(x)=- 2x^(2) + 2x - 3\n f(5)=- 2(5)^(2) + 2(5) - 3\n f(5)=- 2(25) + 10 - 3\n f(5)=-50 + 10 - 3\n f(5)=-43$

Thus, your answer is C, -43.

You can just put that value 5 in place of x and then evaluate the output.

The value of f(5) for the given function is given by:

Option C: -43

How to evaluate functions on a given point?

Use the definition of function to evaluate the function on a given point. Most of the time, in general cases, the function will be algebraic and you just need to replace the input variables with the value of the point you want to evaluate the function on.