The local newspaper has letters to the editor from 70 people. If this number represents ​4% of all of the​ newspaper's readers, how many readers does the newspaper​ have?

Rewrite the equation in slope- intercept form.

3(y-1) = 2x + 2

Use the distributive property

3y-3 = 2x + 2

Add 3 to both sides

3y = 2x + 5

Divide both sides by 3

Y = 2/3x + 5/3

Slope = 2/3

Answer:

14 1/3

Step-by-step explanation:

3 × 4 7/9

=3 × 43/9

= 43/3

= 14 1/3

Answer:

43/3

Simply 14⅓

Step-by-step explanation:

4 7/9 can also be expressed as (4x9+7)/9 = 43/9

3x43/9 = 43/3

After simplifying = 14⅓

Answer: Yellow option

Step-by-step explanation:

The points noted are (0,-2) and (3,-1)

So the slope is (-2--1)/(0-3) = -1/-3 = 1/3

So options blue, green and red are out.

So the only option is yellow

[tex]\qquad \sf  \: \huge \bf༆ Answer ༄[/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \: f(x) = \tan(x) [/tex]

[tex]\qquad \sf  \dashrightarrow \: f(2x) = \tan(2x) [/tex]

[tex]\qquad \sf  \dashrightarrow \: f(2x) = \dfrac{2 \tan(x) }{1 - { \tan {}^{2} (x) }^{} } [/tex]

replace tan(x) with f(x) in the given equation ~

[tex]\qquad \sf  \dashrightarrow \: f(2x) = \dfrac{2 (f(x) )}{1 - { (f {}^{} (x)) {}^{2} }^{} } [/tex]

The expression that was proved is [tex]tan2x=\frac{2[f(x)]}{1-[f(x)^2]}[/tex]

Given the trigonometry identity

f(x) = tanx

f(2x)  tan2x

From double angle theorem;

[tex]tan2x=\frac{tanx+tanx}{1-tanx(tanx)} \\tan2x=\frac{2tanx}{1-tan^2x}[/tex]

Since f(x) = tan(x), substitute into the result to have:

[tex]tan2x=\frac{2[f(x)]}{1-[f(x)^2]}[/tex] (Proved)

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Answer:

Self-confidence: When you develop a positive attitude, you will start feeling better about yourself. You will treat yourself with more respect and love, and this in turn will boost your confidence levels and inner strength. You will take on new challenges and come out of your self-limiting beliefs

Answer:

Step-by-step explanation:

Sentence should be:

How we get the %:

2 is 20% of 10.

20% of 10 is 2.

Answer:

  A.  (-2, -1) is the solution to the linear system

Step-by-step explanation:

Substitute for x and y and see if the equations are true.

  -1 = 3(-2) +5 . . . . true

  -2 +(-1) = -3 . . . . .true

(-2, -1) is the solution to the linear system.

Answer:

No, a polygon cannot have a decimal number of sides.

Explanation:

using the formula:

14 = 360 ÷ number of sides

1/number of sides = 14/360

number of sides = 360/14    

number of sides = 25.71428571    

Answer:

all polygons have exterior angles that totL to 360 degrees from triangles to 20-gons. so 360 divided by 14 is 25.71 sides which is not possible because what would .71 of a side look like....now this is assuming that you were referring to regular polygon with all sides the same. I suppose you could gave a polygon with a whole number of sides but the relationship between the exterior angles could be such that not all of the angles have the same degree measure. I would say that an exterior angle for any polygon would need to be greater than 0 but less than 360. so my answer is yes it could be possible le

Answer:

Slope = -1

Step-by-step explanation:

We will use 2 points from the graph.\

(0 , 2) and (2 , 0)

formula for slope = y2 - y1/x2 - x1

0 - 2/2 - 0

=-2/2

=-1

Answer:

7 hours

Step-by-step explanation:

12hrs=1116kms

1hr=1116÷12

1hr=93kms

Xhrs=651kms

Xhrs=(651÷93) ×1

=7×1

=7hrs

Answer: C is your answer

Step-by-step explanation:

Answer:

56000 square yards

Step-by-step explanation:

I hope it helps you!!!

Answer:

64cm squared

Answer:

64cm²

Step-by-step explanation:

8cm x 8cm = (8cm)²

8 x 8 = 64

cm x cm = cm²

=64cm²

Answer:

2 different ways

Step-by-step explanation:

You are looking at the factors of 60.

1×60 does not work, too many pictures in a row.

2×30 does not work, too many pictures in a row.

3×20 THIS WORKS!

4×15 THIS ALSO WORKS!

5×12 Nope, too many rows

6×10, no, too many rows

So there's just two ways to arrange the pictures.

Answer:

3 5/8

Step-by-step explanation:

divide 29 by 8,

8 times 3 is 24

29-24, remainder is 5

Answer:

6 of the 30 apples are green

6 / 30 = .2

So 20% of the apples are green.

Percentage of the apples are green is 20%

"A Percentage is a number or ratio that represents a fraction of 100. It is often denoted by the symbol %".

According to the question

Total Apples = 30

Red Apples = 24

Green Apples = 6

Percentage of the apples are green = [tex]\frac{6}{30}[/tex]×[tex]100[/tex]

= [tex]20[/tex] % or [tex]0.2[/tex]

∴ Percentage of the apples are green is 20%.

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Answer:

$8000

Step-by-step explanation:

With the provided values you get the equation

1800+.15x=3000

with x being the amount of sales he needs

1. 3000-1800=1200

gives 1200=.15x

2. 1200/.15 = 8000

so x = 8000

Answer:

390cm

Step-by-step explanation:

Answer:

y = -2x + 9

Step-by-step explanation:

slope intercept form : y = mx + b

where m = slope and b = y intercept

first let's find the slope

slope formula :

[tex]m = ( \frac{y2 - y1}{x2 - x1} )[/tex]

where the x and y values are derived from the given points

here we are given (2,5) and (6,-3)

(x1,y1) = (2,5) so x1 = 2 and y1 = 5

(x2,y2) = (6,-3) so x2 = 6 and y2 = -3

we now plug these values into the formula

recall formula

[tex]m= ( \frac{y2 - y1}{x2 - x1} )[/tex]

plug in x1 = 2, y1 = 5, x2 = 6 and y2 = -3

m = (-3 - 5) / ( 6 - 2 )

m = (-8)/(4)

m = -2

the slope is -2

now to find the y intercept we plug in the slope and the x and y value of a given point into slope intercept form and solve for b

y = mx + b

given point : (2,5) x = 2 , y = 5, m = -2

5 = -2(2) + b

5 = -4 + b

9 = b

so the equation would be y = -2x + 9

Answer:

It's 5

Step-by-step explanation:

-4x+5=-15 (subtract 5)

-4x=-20 (divide by -4)

x=5

Step-by-step explanation:

Work backwards. First, create a function:

f(x) = x

First, instead of adding 5, subtract it:

f(x) = x - 5

Then, divide by -4:

f(x) = (x - 5) ÷ -4

Then plug in -15:

f(-15) = (-15 - 5) ÷ 4

= -20 ÷ -4

= 20 ÷ 4

= 5

Answer:

(x+5^3 is the answer of this question

Answer:

x=3

Step-by-step explanation:

The square root of 225 is 15

so 15=4x+3

    -3        -3

      12=4x

If 12=4x then x=3

Answer:

y = - 7

Step-by-step explanation:

Since the solution is always the same for y, y equals that solution and does not depend on x.

Answer:

80°

Step-by-step explanation:

the triangles are symmetrical. therefore their angles will be equal.

interior angles of a triangle = 180°

180° - 30° - 70° = m<D

80° = m<D

Answer:

0.666777

Step-by-step explanation:

not sure not my grade level

Answer:

(B) V = 8 x 6 x 3

Step-by-step explanation:

The formula to find the volume of a rectangular prism is, V = Length x Width x Height cubic units.

V = 8 x 6 x 3 cm 3.

V = 192 cm 3.

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