Derek is selecting a sock from his drawer .He chooses a sock at random and then selects a second sock at random .what is the probability that Derek selected a striped sock both times

Answer: AB=20, BC=14

Step-by-step explanation:

set AB together with the side congruent to it (which is DC)

3x-7=x+11

subtract x and add 7 to both sides

2x=18

divide both sides by 2

x=9

plug 9 in for AB.

3(9)-7

27-7=20.

now do the same for BC

Answer:

AB = 20

BC = 14

Step-by-step explanation:

ABCD is a parallelogram

Opposite sides of a parallelogram are equal.

Therefore,

AB = DC

3x - 7 = x + 11

3x - x = 11 + 7

2x = 18

x = 18/2

x = 9

AB = 3x - 7 =3*9 - 7 = 27 - 7 = 20

7y - 7 = 3y + 5

7y - 3y = 7 + 5

4y = 12

y = 12/4

y = 3

BC = 7y - 7 = 7*3 - 7= 21 - 7 = 14

Answer:

-3

Step-by-step explanation:

divide both side by 6 to find t

Hey there!

Here is a graph of the points:

A scatterplot is a graph, but the points won't be able to connect in a straight line, and they have no relation.

A line of best fit is a line that goes evenly through the points, or as best as it could.

Answer:

Step-by-step explanation:

in this expression we have

two variables: 6x and 10p

one constant 5

3 terms

23 days would pass by and they would both go to the laundromat on the 24th day.

Answer:

€120

Step-by-step explanation:

Let us represent

Ann = x

Brian = y

Carol = z

€400 is divided between Ann, Brian and Carol

Hence: x + y + z = €400...... Equation 1

Ann has twice as much as Brian

Hence:

x = 2y

Brian has three times as much as Carol.

y = 3z

z = y/3

We substitute

x + y + z = €400...... Equation 1

2y + y + y/3= €400

Multiply both sides by 3

2y × 3 + y × 3 + y/3 × 3 = €400 × 3

6y + 3y + y = €1200

10y = €1200

y = €1200/10

y = €120

How much does Brian receives ?

Since, Brian = y

Brian receives €120

Answer:

I am pretty sure its the first one

I would say the bottom right graph (D) best fits the data because it passes through the most points possible on the graph.

Answer: may i see a picture then I can help

Step-by-step explanation:

She needs to convert all the numbers be be the same type ( fraction or decimal).

With the numbers she has it would be easiest to convert all the numbers to decimals.

72/80 = 0.9

3 1/5 = 3.3

Pi = 3.14

Now she can arrange the decimals in order:

-2.9, 0.9, 2.979, 3.14, 3.2

She needs to switch 3 1/5 and pi

Answer:

3 1/5 is tha one

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

1) so you start with the mean being 72x5=360

2)100+42+87+66=295

3) 360-295=65

(you get the 5 from the amount of numbers there are) P.S sorry if I'm wrong or this doesn't help

Answer:

9999

Step-by-step explanation:

Answer:

6969

Step-by-step explanation:

Answer:

Step-by-step explanation:

first one A and second one C

Answer:

7.5

Step-by-step explanation:

3 + 9 + 13 + 8 + 10 + 2 = 45

There are 6 numbers so we divide 45 by 6

45/6 = 7.5

Answer:

x = 7

Step-by-step explanation:

Since, BD is the angle bisector of ∠ABC,

By angle bisector theorem,

∠ABD ≅ ∠CBD

m∠ABD = m∠CBD

(3x - 1) = (34 - 2x)

3x + 2x = 34 + 1

5x = 35

x = 7

Answer:

7

Step-by-step explanation:

Answer:

We conclude that:

[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}[/tex]

Least Common Multiple of x+4, x+6:  (x+4) (x+6)

Adjusting fractions based on the LCM

[tex]=\frac{\left(x+2\right)\left(x+6\right)}{\left(x+4\right)\left(x+6\right)}-\frac{\left(x-1\right)\left(x+4\right)}{\left(x+6\right)\left(x+4\right)}[/tex]

since the denominators are equal, combine the fractions:

[tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

so the expression becomes

[tex]=\frac{\left(x+2\right)\left(x+6\right)-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]

[tex]=\frac{x^2+8x+12-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]

[tex]=\frac{x^2+8x+12-x^2-3x+4}{\left(x+4\right)\left(x+6\right)}[/tex]

simplify

[tex]=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]

Therefore, we conclude that:

[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]

Answer:

C

Step-by-step explanation:

Answer:

x = 1/4

Step-by-step explanation:

[tex]log_{x}[/tex] 16 = 2 can be written as [tex]16^{x}[/tex] = 2

([tex]2^{4}[/tex])^x = 2^1

if bases are the same we can create this equation:  4x = 1

                                                                                      x = 1/4

Answer:

answer is 113.04 [tex]cm^{2}[/tex]

Step-by-step explanation:

Answer:

[tex](x^2+7)(x^4-7x^2+49)[/tex]

Step-by-step explanation:

Factor x^6+343, and you will get the answer above. Hope this helps :)

Answer: $213

Step-by-step explanation:

First find out how much is spent on the other things:

Utilities

= 15% * 420

= $63

Internet services

= 1/5 * 420

= $84

Phone service

= 1/7 * 420

= $60

The amount left for food is therefore:

= 420 - money spent on other things

= 420 - 63 - 84 - 60

= $213

Answer:

4%

Step-by-step explanation:

The percentage of the people polled like playing golf =( people that liked playing golf / total number of people polled) x 100

(4/100) x100 = 4%

Answer:

16 X 12 = 192 squared inches

Answer:

2n³ - 3n² - 7n + 3

Step-by-step explanation:

Given

(n² - 3n + 1)(2n + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

n²(2n + 3) - 3n(2n + 3) + 1(2n + 3) ← distribute the parenthesis

= 2n³ + 3n² - 6n² - 9n + 2n + 3 ← collect like terms

= 2n³ - 3n² - 7n + 3

Answer:

0.8= 2.1448=2.1379

Step-by-step explanation:

Answer:

0.8/2.1448/2.1379

Step-by-step explanation:

I got right(Plato/Edmentum

Answer: Add the two equations together to eliminate y

Step-by-step explanation:

X+y=3

4x-y=7

I would use elimination since one equation has +y and one equation has -y

Add the two equations together

X+y=3

4x-y=7

-------------------

5x = 10

Answer:

Step-by-step explanation:

A

Answer:

1.475 × 10¹⁴ mi

Step-by-step explanation:

Since  1 light year = 5.9 × 10⁹ mi and the Earth is located about 25,000 light-years from the Milky Way's rim, the approximate distance, in miles, from Earth to the rim of the Milky Way is 25,000 light year = 25,000 × 1 light year

= 25,000 × 5.9 × 10⁹ mi

= 147.5 × 10¹² mi

= 1.475 × 10¹⁴ mi