A karate instructor earns $165 for teaching 3 classes. The instructor receives a 10% raise. How much the instructor earns, in dollars, per class after the raise?
A. $60.5
B. $50.5
C. $49.5
D. $181.5

Answer:

Step-by-step explanation:

Because lines [tex]m[/tex] and [tex]n[/tex] are parallel, angles 1, 3, 4, 6 are equivalent, and all remaining angles are also equivalent.

Knowing this, you can set up the following equation:

[tex]86 = 2x + 25[/tex]

[tex]86 - 25 = 2x[/tex]

[tex]61 = 2x[/tex]

[tex]x = 30.5[/tex]

Answer:

x = 30.5

angle 1: 94 degrees

angle 2: 86 degrees

angle 3: 94 degrees

angle 4: 94 degrees

angle 5: 86 degrees

angle 6: 94 degrees

Step-by-step explanation:

Answer:

hypergeometric

Step-by-step explanation:

For each winning ticket, there are only two possible outcomes. Either it is held by a men, or it is not.

There is a set number of X, and as the number of winning tickets decrease, the probability of a winning ticket being held by a men can decrease or increase. This is a characteristic of the hypergeometric distribution.

Answer:

y < 12

Step-by-step explanation:

Add 5 on both sides since the opposite of subtraction is addition. Then cross it out where you will be left with y and 7 + 5 equals 12 so the answer is: y < 12

Answer:

x = 15

yes

Step-by-step explanation:

17²= 289

8²= 64

A² + B² = C²

8²+ B² = 17²

64 + B² = 289

-64 -64

B²= 225

√225

B = 15

Answer:

5/12

Step-by-step explanation:

add: 3+2=5, 6+6=12. put 5 on the top 12 on the bottom

Answer:

Please answer my question

Answer:

a = 15, b = - 14

Step-by-step explanation:

Given the 2 equations

[tex]\frac{a}{5}[/tex] - [tex]\frac{b}{2}[/tex] = 10 ( multiply through by 10 to clear the fractions )

2a - 5b = 100 → (1)

a - b = 29 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the a- term

- 2a + 2b = - 58 → (3)

Add (1) and (3) term by term to eliminate a

0 - 3b = 42

- 3b = 42 ( divide both sides by - 3 )

b = - 14

Substitute b = - 14 into (2) and evaluate for a

a - (- 14) = 29

a + 14 = 29 ( subtract 14 from both sides )

a = 15

Answer:

19x²

Step-by-step explanation:

sorryy hehe not sure dfhjjsdcbjhrsszzchjjhdssdghhjgesss

Answer:

Step-by-step explanation:

2x + 6x - 27=

8x - 27 (In this step, we add the like terms 2x+6x.)

Is this the kind of answer you needed?

Answer:

5a + 2b

Step-by-step explanation:

9a + 3b -4a -b

9a - 4a + 3b - b

5a + 2b

Complete question :

Six jurors are to be selected from a pool of 20 potential candidates to hear a civil case involving a lawsuit between two families. Unknown to the judge or any of the attorneys, 2 of the 20 prospective jurors are potentially prejudiced by being acquainted with one or more of the litigants. They will not disclose this during the jury selection process. If 6 jurors are selected at random from this group of 20, find the probability that the number of potentially prejudiced jurors among the 6 selected jurors is ;

a. exactly 1

b. none

c. at most 2

Answer:

0.442 ; 0.479 ; 1

Step-by-step explanation:

Given:.

Total number of candidates = 20

Number of jurors to be selected = 6

Number of prejudiced jurors = 2

Required outcome / Total possible outcomes :

Using the combination formula :

nCr = n! ÷ (n-r)!r!

1.)

P(number of prejudiced jurors is exactly 1) :

[2C1 * 18C5] ÷ 20C6

(2*8568)÷ 38760

= 0.442

B.)

P(None of the jurors is prejudiced) :

[2C0 * 18C6] ÷ 20C6

(1 * 18564) ÷ 38760

= 0.479

C.)

P(at most 2 of the jurors are prejudiced)

P(x =0) + p(x = 1) + p(x = 2)

P(x = 2) :

[2C2 * 18C4] ÷ 20C6

(1 * 3060) ÷ 38760

= 0.079

P(x =0) + p(x = 1) + p(x = 2)

(0.479 + 0.442 + 0.079)

= 1

Answer:

[tex](b)\\\tan x, \cot x[/tex]

Step-by-step explanation:

Given

trigonometric function is

[tex]\dfrac{\cos 2x-\cos 4x}{\sin 2x+\sin 4x}[/tex]

Applying trigonometric formulae

[tex]\Rightarrow \cos C-\cos D=-\sin (\dfrac{C+D}{2})\sin (\dfrac{C-D}{2})\\\\\Rightarrow \sin C+\sin D=\sin (\dfrac{C+D}{2})\cos (\dfrac{C-D}{2})[/tex]

[tex]\Rightarrow \dfrac{\cos 2x-\cos 4x}{\sin 2x+\sin 4x}=\dfrac{2\sin 3x\cdot \sin x}{2\sin 3x\cdot \cos x}\\\\\Rightarrow \dfrac{\sin x}{\cos x}=\tan x[/tex]

option (b) is correct

[tex]\Rightarrow \dfrac{\cos 2x+\cos 4x}{\sin 2x-\sin 4x}=\dfrac{2\cos 3x\cdot \cos x}{2\cos 3x\cdot \sin (-x)}=-\cot x[/tex]

Answer:

Step-by-step explanation:

12(2y+1)-18y=36  <---- Distribute 12 into 2y+1

24y+12-18y=36 <----- Subtract 24y by 18y

6y+12=36 <---- Subtract 12 from 36

6y=24  <---- Divide 6 by 24

y=4

Answer:

538826 ml

Step-by-step explanation:

Answer:

538826 mL

Step-by-step explanation:

:)

Answer:

area of square=side²

36/49yd²=side²

(36/49yd²)²=side

6/7 yd=side

Answer:

s = [tex]\frac{6}{7}[/tex] yd

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the length of side )

Given A = [tex]\frac{36}{49}[/tex] , then

s² = [tex]\frac{36}{49}[/tex] ( take the square root of both sides )

s = [tex]\sqrt{\frac{36}{49} }[/tex] = [tex]\frac{\sqrt{36} }{\sqrt{49} }[/tex] = [tex]\frac{6}{7}[/tex]

Step-by-step explanation:

0.75

3.75

9.75

please mark me brainliest

Answer:

The domain or x-values are on the horizontal axis, this is what you spend.

The range or y-values are on the vertical axis, this is your bonus.

The points to be indicated:

Plot the points and connect to make a line.

The graph is attached

Hi to u too and nope. never heard of Ruffini metod. Sorry.

Answer:

$300

Step-by-step explanation:

I = prt

I = 6000(.05)(1)

I = 300

the answer is 30.Can I get brainliest,im correct.I got it on a quiz

Answer:

9.7d+4.1+5.1d-9.2

9.7d +5.1d+4.1-9.2 (take same element near)

d(9.7d +5.1) + 4.1-9.2

d(14.8) - 5.1

answer :

D −5.1+14.8d

Step-by-step explanation:

Answer:

The greatest common factor is 7

[tex]35 + 14 = 49[/tex]

Step-by-step explanation:

Given

[tex]35 + 14 =[/tex]

Required

Apply distributive property

Express 35 as 7 * 5 and 14 as 7 * 2

[tex]35 + 14 = 7 * 5 + 7 * 2[/tex]

Apply distributive property

[tex]35 + 14 = 7 ( 5 + 2)[/tex]

The greatest common factor is 7

Solving further to get the solution

[tex]35 + 14 = 7 * 7[/tex]

[tex]35 + 14 = 49[/tex]

Answer:

7(5+2)

hope this helps <3

Answer:

Part 1:

1. Rhombus (4 equal sides)

2. Parallelogram (opposite sides are equal)

3. Rectangle (opposite sides are equal, 4 right angles)

Part 2:

1. Square, rhombus (4 equal side)

2. Rectangle, parallelogram, square, rhombus (opposite sides are equal)

3. Rectangle, square (opposite sides are equal, 4 right angles)

Answer:

x = 50º

Step-by-step explanation:

All angles in a triangle have to add up to 180º

Answer: x=20 y=20√2

Since this is a 45-90-45 right triangle, so sides are going to be the same. To solve for y, you have to use Pythagorean theorem. (a^2+b^2=c^2) So put in the a and b values, in this case, it's 20 and 20. (20^2+20^2=c^2) Then you can solve the exponents, (400+400=c^2) add them up (800=c^2), then square root everything which gives you y=20√2 or 28.28(rounded)

Answer:

your answer will be OPTION D!!

Step-by-step explanation:

hope it helps you

have a great day!!

a. 2⁵ × 2^(3) = 2^(a) is a = 8.

b. 7⁴/[tex]7^b[/tex] = 7⁻² is b = 6.

c. [tex]8^c[/tex] = 1/64 is c = - 2.

Some common rules of exponents are

[tex]{a^b}\times{a^c} = a^{b + c}[/tex].

[tex]\frac{a^b}{a^c} = a^{b - c}[/tex]

We can only add and subtract exponents only when we have the same base.

Given,

2⁵ × 2³ = [tex]2^a[/tex].

[tex]2^{5+3}[/tex]= 2^(a).

[tex]2^8[/tex] = [tex]2^a[/tex]

a = 8.

[tex]\frac{7^4}{7^b}[/tex] = [tex]7^{-2}[/tex]

[tex]7^{4-b}[/tex] = [tex]7^{-2}[/tex].

4 - b = - 2.

- b = - 6.

b = 6.

[tex]8^c[/tex] = 1/64.

[tex]8^c[/tex] = 1/[tex]8^2[/tex].

[tex]8^c[/tex] = [tex]8^{-2}[/tex]

c = - 2.

learn more about exponents here :

https://brainly.com/question/15993626

#SPJ2