Explain why in a drawer containing only two different colors of socks one must draw only three socks to find a matching pair

Answer:

2X²+6X-8

=2X²+8X-2X-8

=2X(X+4)-2(X+4)

=(X+4)(2X-2)

width=(x+4)

answer is option A

=======================================================

Work Shown:

A = h*(b1+b2)/2  .... area of trapezoid formula

A = 4*(7+3)/2

A = 4*(10)/2

A = 40/2

A = 20 square units

-----------

notes:

Answer:

6

9

6.48

Step-by-step explanation:

this is the easiest way to solve for percentage:

[tex]\frac{part}{whole} =\frac{part}{whole}[/tex]  Where all the percents (except 100) would go in part

and the whole number would go in whole

[tex]\frac{25}{100} =\frac{?}{24}[/tex]  Then multiply 24 × 25 ÷ 100 = 6

[tex]\frac{15}{100} =\frac{?}{60}[/tex]  Multiply 60 by 25 then divided by 100 = 9

Then for the last one 9 is what percent of 72

all we have to do is multiply 9 and then convert 72 into a decimal (0.72)

Then 9 × 0.72 = 6.48

Answer:

6.48

Step-by-step explanation:

you have to had the left then divide the right

Answer:

1/80

Step-by-step explanation:

(the area of the small circle)/(the area of the larger circle)

= (π× 3²)/(π× 27²)

(=> eliminate π)

= 3²/27² = (1/9)² = 1/81

since the shaded area is inside the larger circle,

the geometric probability =

1/(81-1) = 1/80

Answer:

(y−1)(y−2)(y+3)

Step-by-step explanation:

Factor y3−7y+6

y3−7y+6

=(y−1)(y−2)(y+3)

Answer:

(y - 2) (y-1) (y+3)

Step-by-step explanation:

y³-7y+6

= y³ +2y² - 2y² - 3y - 4y +6

= ( y³ +2y² - 3y) - (2y² + 4y -6)

= y( y² +2y -3) - 2( y² + 2y -3)

= (y² +2y -3)(y-2)

= ( y² +3y -y -3)(y-2)

= [ y( y+3) -(y+3)] ( y-2)

= (y-1)(y+3)(y-2)

Answer:

y = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-2(y - 4) = 18

Step 2: Solve for y

Answer:

1 1/6

Step-by-step explanation:

1. 2 - 1/3 = 1 2/3

2. 1 2/3 ÷ 2 = 5/6

3. 5/6 + 1/3 = 1 1/6

Answer:

did, the jackles howled loudly in the forest ?

Answer:

(6,5)

Step-by-step explanation:

To keep the sides parallel, the y coordinate must be  the same as the top point so y = 5

The distance between the bottom points is 1, so the distance between the top points must be 1

The point could be at 5-1 =4  or 5+1 = 6

(4,5) or (6,5)

Given the choices listed

Answer:

y < [tex]\frac{1}{4} x+3[/tex]

Step-by-step explanation:

(-4, 2) (4, 4)

4 - 2 = 2

4 - - 4 = 8

slope = 1/4

y intercept is 3 because the inequality goes up 3 units

Answer:

C

Step-by-step explanation:

Points are written as (x,y)

So in (4,-1) x = 4 and y = -1

Looking at a graph if you go to the right 4 units the x axis and down one unit you will be at point (4,-1)

The graph that shows this would be c

Answer:

Solution given:

length [l] =6in

wide[w]=9in

height[h]=4in

we have

volume of the display box=lwh=6*9*4=216in³

the required volume is 216 cubic inches.

Answer:

20°C

Step-by-step explanation:

64-32 =32

32 ×5 =160

160/9 = 17.8

17.8 rounded to the nearest tenth is 20°C.

Answer:

The probability will be "10.83%".

Step-by-step explanation:

According to the question,

Workers read e-mail,

= 57%

= 0.57

Write down important notes,

= 19%

= 0.19

Now,

The probability of worker who reads e-mail while in meeting and writes important notes will be:

= [tex]P[email \ reading \ during \ meeting]\times P[writes \ important \ notes][/tex]

By putting the values, we get

= [tex]0.57\times 0.19[/tex]

= [tex]0.1083[/tex]

= [tex]10.83[/tex] %

9514 1404 393

Answer:

  5,339,479

Step-by-step explanation:

The populations in millions of the different countries can be represented by the equations ...

  c = 5.2(1.025^t)

  d = 5.2(1.001^t)

We want to find d when c = 10. Solving for t when c=10, we have ...

  10 = 5.2(1.025^t)

  10/5.2 = 1.025^t

  log(10/5.2) = t×log(1.025)

  t = log(10/5.2)/log(1.025)

Then the value of d for that value of t is ...

  d = 5.2(1.001^(log(10/5.2)/log(1.025)) ≈ 5.3394789

The population of Denmark is about 5,339,479 when the population of Chad is 10 million.

_____

If we round the number of years to 26.5 before computing the population of Denmark, we get 5,339,571 -- about 92 more people. Ordinarily, one would not round intermediate results.

(a) 6

(b) 9

The units of a whole number is the rightmost digit in the number. For example, if the number is 15678, the units is 8 since that is the rightmost digit. Another example is 25795. The units is 5.

(a) To find the units of the square of -2346,

i. First find the square of (-2346)

(-2346)² = (-2346) x (-2346) = 5503716

ii. Now find the rightmost digit.

The rightmost digit of 5503716 is 6.

Therefore, the units of the square of (-2346) is 6

(b) To find the units of the square of -5677,

i. First find the square of (-5677)

(-5677)² = (-5677) x (-5677) = 32228329

ii. Now find the rightmost digit.

The rightmost digit of 32228329 is 9.

Therefore, the units of the square of (-5677) is 9

Answer: The area is  (800)

Step-by-step explanation: (10x 10= 100)

(100 x 8= 800)

FINAL ANSWER: 800m

~ i really hope this is correct, have a gr8 day/night my friend!~

Answer:

the answer is the 2nd one the one with the v shape

Step-by-step explanation:

if you do the vertical line test which is just drawing a vertical line through the line and it intersect the line twice than it is NOT functional

(i think i do not know D:)

y=23x+143 hope this helps

Answer:

y = -5x+14

Step-by-step explanation:

slope formula

y-y divided by x-x

4-(-1) / 2-3

5/-1 or -5

substitute into y = mx + b

4 = -5(2) + b

b = 14

Answer:

C. [tex]\frac{}{AB}[/tex]

Step-by-step explanation:

You can solve this in two ways, firstly by eliminating all the wrong answers, and secondly by just knowing that the horizontal line in [tex]_[/tex][tex]\frac{}{AB}[/tex] means that we are talking about a line.

This is how we solve this question by using the eliminating process.

(A. ∠C) is not the right answer because the ∠ sign lets us know that this answer represents an angle, not a line

(B. B) is not the right answer because it represent a point, not a line (in math we use a singular capital letter to represent points)

(D. ΔABC) is not the right answer because the Δ sign lets us know that the answer represents a triangle, not a line.

Therefore, the only option left is C. [tex]\frac{}{AB}[/tex]

Answer:

20 is the answer I got

Answer:

(18/5, 0) is the x intercept

(0,-2) is the y intercept

Step-by-step explanation:

-5x+9y = -18

Set y = 0 and solve for x to find the x intercept

-5x +0 = -18

Divide each side by -5

x = -18/-5

x = 18/5

(18/5, 0) is the x intercept

Set x = 0 and solve for y to find the y intercept

0 +9y = -18

Divide each side by 9

y = -18/9

y = -2

(0,-2) is the y intercept

Answer:

x- intercept is 18/5

y- intercept is -2

Step-by-step explanation:

See image below:)

Answer:

issue is the formula is still available

Step-by-step explanation:

what thw law do I have

Answer:

1.) B

2.) B

Step-by-step explanation:

Number 1 is B bc rapid population in Mexico is caused by the economy improving.

Number 2 is B bc if there was one political party , there would be little opposition in the government. It basically means disaster.

Step-by-step explanation:

There are 24=16 total possible outcomes of which only one outcome gives rise to all heads. Thus the probability that all coins land heads is 1/16.

Answer:

636,528 Rs

7,638,336 Rs

Step-by-step explanation:

Total wage bill per month = wage of each worker x number of employees

267 x  Rs 2384  = 636,528 Rs

Wage bill for the year = monthly wage bill x 12

636,528 Rs x 12 = 7,638,336 Rs