A drawer contains 3 black socks, 3 white socks, 2 red socks, and 1 purple sock. A red sock is pulled at random from the drawer, but returned because it had a hole. What is the probability that a black sock will be the next sock pulled at random

Answer:

[tex]\frac{9}{5}[/tex] or [tex]1\frac{4}{5}[/tex]

Step-by-step explanation:

First add 1/5 from both sides to get 2/3x > 6/5. This can then be simplified to x > 18/10. 18/10 is the same as 9/5. And 9/5 is also 1 4/5.

Hope it helps!

Answer:

[tex]x>\frac{9}{5}[/tex]

Step-by-step explanation:

To reduce any confusion later on in the problem the first step should getting the fractions to have an equal denominator, this can be done by finding the LCF, or Least Common Factor.

In this case the least common factor is [tex]15[/tex], [tex]3[/tex] × [tex]5 = 15[/tex], and [tex]5[/tex] × [tex]3 = 15[/tex]; whatever you do to the denominator has to be done to the numerator

[tex]\frac{2}{3}[/tex] × [tex]\frac{5}{5} = \frac{10}{15}[/tex]            [tex]\frac{1}{5}[/tex] × [tex]\frac{3}{3} =\frac{3}{15}[/tex]

Now that the denominators are equal, lets input the values into the original equation:

[tex]\frac{10}{15} x-\frac{3}{15} >1[/tex]

add [tex]\frac{3}{15}[/tex]  to both sides, to isolate the variable

[tex]\frac{10}{15}x > 1\frac{3}{15}[/tex]  [tex]or \frac{18}{15}[/tex]  

divide

both sides by [tex]\frac{10}{15}[/tex], when you divide fractions you multiply  by the reciprocal of the divisor, then you multiply the numerators by the numerators and the denominators by the denominators. [tex]18[/tex] × [tex]15[/tex][tex]=270[/tex] , [tex]15[/tex] × [tex]10=150[/tex]

[tex]x>\frac{18}{15}[/tex] × [tex]\frac{15}{10}[/tex] ⇒  [tex]x>\frac{270}{150}[/tex]

[tex]270[/tex] and [tex]150[/tex] have a GCF, or Greatest Common Factor of [tex]30[/tex] which simplifies the answer to:

[tex]x>\frac{9}{5}[/tex]

The surface area is 516 square feet

Answer: 152ft square

Hope this helps!

Answer:

3  2 /7

Step-by-step explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

Answer:

1. X = 4

2. Y = 3

3. Y = 4 or Y = log>6 (1296)

4. X = 4

5. X = 3

6. X = 2

7. X = 2

8. X = 5

9. X = 3

sorry if I can get the letters right I couldn’t really see it well .

Answer:

D

Step-by-step explanation:

Answer:

C. V = π(2.5)²h

Volume = 19.6h

Step-by-step explanation:

Radius (r) of cylinder = ½ of 5 = 2.5 in.

Height (h) = h in.

Volume of a cylinder = πr²h

Equation that can be used to find B:

Plug in the values into the volume formula

V = π(2.5)²h

Volume = 19.6h

Answer:

1 Year = 8.76 x 10³ Hours

Answer:

There are a total of 24 players and 4 teams.

Please let me have brainliest :)

Answer:

B is correct

Step-by-step explanation:

I took the flvs test

The action to make both side balanced

Take away 5 blocks from the left side.

In science, if an object is still, we say it is balanced. An object is in an equilibrium state when it is balanced. Any forces acting on the object are counterbalanced by forces moving the other way. The average location of the gravitational pull on an object is known as the centre of gravity.

We have the figure.

On right side there are total 8 weights.

and, on left there are total 3 weights.

So, the difference of blocks on

= 8- 3

= 5 blocks

So, take away 5 blocks from left.

Learn more about Balanced here:

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Answer:

f(x) = 5x - 5

Step-by-step explanation:

Let the equation of the linear function is,

f(x) = mx + b

Here, m = Slope of the graph

b = y-intercept

Slope of the line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]

From the table attached,

Slope of the line passing through (2, 5) and (6, 25) will be,

m = [tex]\frac{25-5}{6-2}[/tex]

m = 5

Equation of the linear function will be,

f(x) = 5x + b

Since, a point (10, 45) lies on the function,

45 = 5(10) + b

b = 45 - 50

b = -5

Equation of the linear function will be,

f(x) = 5x - 5

Answer:

Five plus seven equals x

Step-by-step explanation:

Answer:

Five plus seven equals x

Step-by-step explanation:

Answer:

62 degrees.

Step-by-step explanation:

What you will have here is a right triangle. For the vertical put 12 ft and for the horizontal put 23 ft. You are trying to find the angle between the verticle and hypotenuse. This is what tangent is used for since you know the opposite and you know the adjacent lengths.

But since you are trying to find the angle you need to do an inverse tangent (also called arctangent)

ArctanФ = Adj/opposite

ArctanФ = 12/23 = 27.47 degrees. Rounded to the nearest degree is 27 degrees, if it wants rounded up its 28 degrees.

The angle of depression from Coach Jump to the quarterback is 27.6°.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

In this diagram,

C represents Coach Jump,

B represents the base of the platform,

θ represents the angle of depression from Coach Jump to the quarterback.

Now,

We want to find θ.

We can use the tangent function,

So,

tan Ф = 12/23

Ф = [tex]tan^{-1}[/tex] 12/23

Ф = 27.55°.

Thus,

The angle of depression from Coach Jump to the quarterback is 27.6°.

Learn more about trigonometric identities here:

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Answer: at least 6 more hours

Step-by-step explanation:

Answer:

45 hours and a half

Step-by-step explanation:

Divide 7 by 2. Multiply 7 by 13

Answer:

x=8

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

I am assuming you want me to answer the equation provided in the picture, therefore I will provide you with the answer.

So we have [tex]\frac{3}{5} x[/tex] = 21

When it comes to equations with a variable, our goal is to isolate the variable, so let's start.

[tex]\frac{3}{5} x[/tex] = 21

1. Combine multiplied terms into a single fraction :

[tex]\frac{3x}{5}[/tex] = 21

2. Multiply both sides by the denominator :

5 * 3/5 = 3

5 * 21 = 105

3x = 105

3. Divide both sides by 3 :

[tex]\frac{3x}{3} = \frac{105}{3 }[/tex]

x = 35

Answer: c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

i can bet my brainliest that the answer is c

Step-by-step explanation:

Answer:

AC = 3

Step-by-step explanation:

Based on tangent and secant theorem, thus:

AB² = AC × (AC + CD)

AB = 9

AD = AC + CD = 27

Plug in the values

9² = AC × (27)

81 = AC × 27

Divide both sides by 27

81/27 = AC

3 = AC

AC = 3

Answer:

Skylar and Lukas

Step-by-step explanation:

Keegan, Chance, Genesis, and Courtney just have goals. They do not deal with gaining money or earning money.

Answer:

Skyler wants to pay off her college student loans within five years.

Chance wants to buy a boat.

Lukas wants to earn at least $40,000 per year.

Step-by-step explanation:

Answer:

This might be wrong.

False?

Answer:

False

Step-by-step explanation:

14 plus 4/100 equals 14.04

13.76 plus 2.8 equals 16.56

Answer:

180’ - 130’

Step-by-step explanation:

Answer:

Angle C measures 130°. Find the measure of angle L by subtracting the measurement of angle C from 180°. The numerical expression for the measure of angle L is 180° – 130°.

Step-by-step explanation:

Answer:

interior angles are /_3,/_4,/_5 and /_6

Answer:

Density = mass/volume

Density = 100g/50mL

Density = 2g/mL, so b is correct

Let me know if this helps!

Answer:

b. 2 g/ml

Step-by-step explanation:

As we know density is defined as mass per unit volume so here

Density is recorded in units of grams per milliliter

So Now

Mass (m) = 100 g

Volume (V) = 50 ml

Density (d)

= m/v

= 100 / 50

= 2 g /ml

Hope it will help :)

Answer:

Step-by-step explanation:

I think u have the right answer because on the graph im confused how he can spend 100 minutes studying and get lower than one he spent almost 65 minutes less on

Given:

One of the legs of a right triangle is 9 cm.

The area of the triangle is 225 cm².

To find:

The length of the other leg.

Solution:

The area of a triangle is

[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]

The area of a right triangle is

[tex]Area=\dfrac{1}{2}\times (leg_1)\times (leg_2)[/tex]

Let x be the length of other leg.

[tex]225=\dfrac{1}{2}\times (9)\times (x)[/tex]

[tex]2\times 225=9x[/tex]

[tex]\dfrac{450}{9}=x[/tex]

[tex]50=x[/tex]

Therefore, the length of the other leg is 50 cm.

Answer:

19 percent

Step-by-step explanation:

yw

Answer:

d

Step-by-step explanation:

4 inches represents every 208 yards in the drawing

Answer:

2. 4 meters long

Step-by-step explanation:

0. 6 times 4 equals 2. 4