Select ALL the options that have the same value as 3 1/2% of 20.

Answer:

Simplifying

6(2x + -1) = 4 + 7x

Reorder the terms:

6(-1 + 2x) = 4 + 7x

(-1 * 6 + 2x * 6) = 4 + 7x

(-6 + 12x) = 4 + 7x

Solving

-6 + 12x = 4 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

-6 + 12x + -7x = 4 + 7x + -7x

Combine like terms: 12x + -7x = 5x

-6 + 5x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0

-6 + 5x = 4 + 0

-6 + 5x = 4

Add '6' to each side of the equation.

-6 + 6 + 5x = 4 + 6

Combine like terms: -6 + 6 = 0

0 + 5x = 4 + 6

5x = 4 + 6

Combine like terms: 4 + 6 = 10

5x = 10

Divide each side by '5'.

x = 2

Simplifying

x = 2

Step-by-step explanation:

Answer:

[tex]B = 108[/tex]

[tex]C = 36[/tex]

[tex]D = 36[/tex]

Step-by-step explanation:

Given

[tex]B =13x - 35[/tex]

[tex]C = 5x - 19[/tex]

[tex]D=2x+14[/tex]

[tex]BC = BD[/tex]

Required

Determine the measure of each angle

The angles in a triangle sum up t 180. i.e.

[tex]B + C + D = 180[/tex]

Since [tex]BC = BD[/tex], then [tex]C = D[/tex]

[tex]B + C + D = 180[/tex] can then be rewritten as:

[tex]B + C + C = 180[/tex]

[tex]B + 2C = 180[/tex]

Substitute values for B and C

[tex]13x - 35 + 2(5x - 19) = 180[/tex]

Open Bracket

[tex]13x - 35 + 10x - 38 = 180[/tex]

Collect Like Terms

[tex]13x + 10x = 180 + 38 + 35[/tex]

[tex]23x= 253[/tex]

Divide both sides by 23

[tex]x = 11[/tex]

To get the measure of each angle, substitute 11 for x in the expressions of B, C and D

[tex]B =13x - 35[/tex]

[tex]B = 13 * 11 - 35[/tex]

[tex]B = 108[/tex]

[tex]C = 5x - 19[/tex]

[tex]C = 5 * 11 - 19[/tex]

[tex]C = 36[/tex]

[tex]D=2x+14[/tex]

[tex]D = 2 * 11 + 14[/tex]

[tex]D = 36[/tex]

The measure of m<B, m<C and m<D are 108, 36 and 46 respectively

From the triangle BCD, if BC=BD, then

m<C = m<D (Base angles are equal)

Given the following paramters:

Hence;

5x - 19 =2x + 14

5x- 2x = 14 + 19

3x = 33

x = 11

m<B = 13x - 35

m<B = 13(11) - 35

m<B = 108 degres

m<C = 5x - 19

m<C = 55- 19

m<C = 36

m<D = 180 - 144

m<D = 36 degreees

Hence the measure of m<B, m<C and m<D are 108, 36 and 46 respectively

learn more on angles here: https://brainly.com/question/16281260

Answer:

Step-by-step explanation:

Let the integers be:

Then we have the sum:

So the numbers are: -2, -1, 0

Answer:

c.  $120.75

Step-by-step explanation:

The correct answer between all the choices given is the third choice or letter C. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Answer:

A) D) g(x) = 2x - 8

2) B) y = 3/4x - 1 and y = -4/3x + 9

Step-by-step explanation:

1)

In the table, we have the points

(5, 2)

(7, 6)

(9, 10)

(10, 12)

This seems to be a linear relationship, so let's try that:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1)

If we use the first two points, we get the slope:

a = (6 - 2)/(7 - 5) = 4/2 = 2

if we use the first and last point, we get the slope:

a = (12 - 2)/(10 - 5) = 10/5 = 2

Then we can conclude that this is a linear relationship with a slope equal to 2.

y = 2*x + b

To find the value of b, we can just replace any of the points of the data table in the equation, for example, i will use the point (5, 2).

this means that x = 5, and  y = 2.

2 = 2*5 + b

2 = 10 + b

2 - 10 = b

-8 = b

Then the equation is:

y = 2*x - 8

the correct option is: D) g(x) = 2x - 8

2) Here we have two lines, notice that we can with just looking at the image, know the y-intercept of each line.

The one with a positive slope (grows to the right) has a y-intercept = - 1.

The one with a negative slope (grows to the left) has a y-intercept =  9.

The two options that match this condition are:

B) y = 3/4x - 1 and y = -4/3x + 9

C) y = 3/4x - 1 and y = -3/4x + 9

Where the only difference is the slope of the black line.

so et's check which slope matches that line.

In the graph we can see that it passes through the points:

(0, 9) and the point (6, 1)

Then the slope is:

a = (1 - 9)/(6 - 0) = -8/6 = -4/3

Then the correct option is where the negative slope is -4/3, that one is

B) y = 3/4x - 1 and y = -4/3x + 9

9514 1404 393

Answer:

  x = -1/2

Step-by-step explanation:

Anything raised to the power of 0 is 1.

  (1/2)^(2x+1) = 1 = (1/2)^0

Equating exponents gives ...

  2x +1 = 0

  2x = -1 . . . . subtract 1

  x = -1/2 . . . divide by 2

Answer:

I'm not sure but I think it's LDTC

Step-by-step explanation:

Answer:

(-9, π/5 + (2n + 1)π)

Step-by-step explanation:

Adding any integer multiple of 2π to the direction argument will result in full-circle rotations, which are identities, so this family is equivalent to the give coordinates:

(9, π/5 + 2nπ), for any integer n

Also, multiplying the radius by -1 is a point reflection, equivalent to a half-turn rotation. Then add π to the direction for another half turn, and the result is another identity. So this too is equivalent to the given coordinates:

(-9, π/5 + (2n + 1)π), for any integer n

Step-by-step explanation:

17 i think I hope its right

Answer:28

Step-by-step explanation:

Answer:

1 2/5 = 1 1/2

7/9 = 1

4/9 = 1/2

3 5/7 = 4

Step-by-step explanation:

1. we must round 1 2/5

based on the answer choices we can determine that 1 1/2 is the most rational answer. This is because it is not only the only answer with the whole number, 1 but also 2/5 would round to 1/2.

2. We must round 7/9

This would round up to 1. This is because it is closest to the whole number, not 0 and not 1/2.

7 * 2 = 14

9 * 2 = 18

14/18 is only 4/18 away from being 1. This means that it would round up to 1.

3. we must round 4/9

This rounds to 1/2. If you multiply both side by 2:

4 * 2 = 8

9 * 2 = 18

8/18 for that to be 1/2 it would need 1/18. Thus this rounds up to 1/2.

4. We must round 3 5/7

5/7 would round up to a whole number.

3 + 1 = 4

Thus 3 5/7 = 4 when rounded to the nearest whole number.

Answer:

Slope is -2 and y intercept is 3.5

Step-by-step explanation:

Basically you change it into slope intercept form by adding 3.5 on both sides to get y by itself, then you have the slope and the y intercept.

Answer:

0.166666 in fraction form is 83333/500000.

Step-by-step explanation:

Answer:B. 49.2 words/min

Step-by-step explanation:

Answer:

0.

-12 + 12 = 0

Step-by-step explanation:

3(-4) + 6(2) (multiply)

-12 + 12 = 0

Answer:

192in

Step-by-step explanation:

Answer:

$3.15

Step-by-step explanation:

divided by 3 then multiplied by 5

give brainliest please!

Answer:

3.15

Step-by-step explanation:

Answer

2,1

Step-by-step explanation:

all the others or on one side besides that one with is on the line

The ordered pair which is not in the solution set of 2x – y > 3 is that which is a solution of the graph of 2x – y = 3 and is; (2, 1)

According to the question;

Evidently, among the choices of coordinates; only (2, 1) is a solution of the equation 2x – y = 3.

By testing;

As such, since (2,1) is a solution of the equation 2x – y = 3, it can't also be a solution of 2x – y > 3.

Read more:

https://brainly.com/question/21766426

Answer:

8°

Step-by-step explanation:

The laws of angles say that angles opposite the vertex (as in this case) are equal

So

(7x + 15)° = (9x - 1)°

let's remove the ° just so as not to get confused

7x + 15 = 9x - 1

To solve we must move the Xs on one side of the = sign and the free numbers on the other. For that, we must do the same operations on both sides. If we subtract from one, from the other also, and so on.

So we are going to substract 15

(7x + 15) - 15 = (9x - 1) -15

It result:

7x = 9x - 16

We are going to substract 9x

(7x) - 9x = (9x - 16) - 9x

It result:

7x - 9x = -16

-2x = -16

We are going to change the signs (ON BOTH SIDES)

2x = 16

x = 8

now we have the value of X

we substitute x in the equations

7(8) + 15 = 9(8) - 1

56 + 15 = 72 - 1

71 = 71

So, the angles are 71°

Answer:

3 = 3 (infinitely many solutions)

Step-by-step explanation:

Answer:

[tex]m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-7, -4)

Point (2, -7)

Step 2: Find slope m

Answer:

Area of the circle ≈ 907.92 yd²

Step-by-step explanation:

Diameter of circle = 34 yd

Radius = ½(34) = 17 yd

Area of a circle = [tex] \pi r^2 [/tex]

Area of the circle = [tex] \pi \times 17^2 [/tex]

= [tex] \pi \times 289 [/tex]

Area of the circle ≈ 907.92 yd² (approximated bro 2 d.p)

Answer:

3/8 easy-peasy

Step-by-step explanation:

Answer:

600 people

Step-by-step explanation:

30x12=600.

Answer:

it equals 89/90

Step-by-step explanation:

the gcf of 89, 90 is 1, so the fraction can not be simplified. The answer is 89/90.

Answer:

tan x

Step-by-step explanation:

Using the trigonometric identities

secx = [tex]\frac{1}{cosx}[/tex] , cosecx = [tex]\frac{1}{sinx}[/tex] , then

[tex]\frac{secx}{cosecx}[/tex]

= [tex]\frac{\frac{1}{cosx} }{\frac{1}{sinx} }[/tex]

= [tex]\frac{1}{cosx}[/tex] × sinx

= [tex]\frac{sinx}{cosx}[/tex]

= tan x