Write the proportion. do not include units in the answer.
60feet is to 100feet as 12feet is to 20feet.

Answer:

Reducing 420/630

420/630 = (?)

420/630 = (2 x 2 x 3 x 5 x 7)/(2 x 3 x 3 x 5 x 7) How i got this is explained at the bottom*

= 2/3

420/630 = 2/3

The simplest form of 420/630 is 2/3

2/3 is the lowest term of 420/630.

Prime FACTORING:
This should help for visuals for 420:
420

| \  

210   2

| \  

105   2

| \  

35   3

| \  

7   5

This should help for visuals for 630:

630

| \  

315   2

| \  

105   3

| \  

35   3

| \  

7   5

Considering the confidence interval, the interpretation regarding wheter 60% of Skyline College students say math is their favorite subject is:

A. No, 0. 60 is not contained in the interval.

B. Yes, all the interval values are greater than 0.60.

C. No, all the interval values are greater than 0.60.

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

In this problem, the confidence interval for the proportion of students who say math is their favorite subject is (0.6358, 0.7532).

Since the entire interval is above 0.6, and it does not contain 0.6, the correct answer for each question is given as follows:

A. No, 0. 60 is not contained in the interval.

B. Yes, all the interval values are greater than 0.60.

C. No, all the interval values are greater than 0.60.

More can be learned about confidence intervals at https://brainly.com/question/25890103

The area of the shaded region will be equal to the (area of the hexagon - area of pentagon) + (area of a square - area of equilateral triangle).

From the complete question, the area of the shaded region 1 will be:

= Area of regular hexagon - Area of regular pentagon

The shaded region 2 will be:

= Area of a square - Area of equilateral triangle

Therefore, the area of the shaded region will be equal to the (area of the hexagon - area of pentagon) + (area of a square - area of equilateral triangle).

Learn more about triangles on:

https://brainly.com/question/17335144

Step-by-step explanation:

Slope= 7-7/-3-4

0/-7

0

y-7 = 0(x-4)

y-7= 0

answer

14.7

step by step explanation

[tex]using \: tan73 = \frac{opposite}{adjacent} \\ tan73 = \frac{48}{x} \\ 3.271 = \frac{48}{x} \\ making \: x \: the \: subject \\ x = \frac{48}{3.271} \\ x = 14.674 \\ x = 14.7 \: (approximately)[/tex]

Answer:

C) (2, -9) is a solution to the equation.

Step-by-step explanation:

To find if both or one point is the solution to the equation, substitute the x and y-values of both points into the equation to find which one makes a true and correct statement (the answer).

For (2, -9):

[tex]\sf5x - \frac{y}{3} = 13\\\\5(2) - \frac{-9}{3} = 13\\\\10-(-3)=13\\\\10+3=13\\\\ \boxed{13=13}\\\\\ \textsf{This is a true statement}\\\textsf{This means that (2, -9) is a solution to 5x - y/3 = 13}[/tex]

For (3, -6);

[tex]\sf5x - \frac{y}{3} = 13\\\\5(3) - \frac{-6}{3} = 13\\\\15-(-2)=13\\\\15+2=13\\\\ \boxed{17=13}\\\\\ \textsf{This is not a true statement}\\\textsf{This means that (3, -6) is not a solutions to 5x - y/3 = 13}[/tex]

Therefore, the correct answer is C

Hope this helps!

Answer:

[tex]\sqrt{22.25}[/tex]

Step-by-step explanation:

4 ^ 2  is 16

2.5 ^ 2 is 6.25

16 + 6.25 is 22.25

The square root of 22.25 is undefined so...

[tex]\sqrt{22.25}[/tex]

Answer:

the top one on the right

Step-by-step explanation:

i used desmos graphing calculator

Answer:

We all know that if one factor is equal to zero, then the product of all factors is equal to zero.

[tex]ab = 0[/tex] so [tex]a = 0[/tex] or [tex]b=0[/tex]

You have to rewrite the equation as a factored quadratic set both equal to zero.

Example: [tex](x-r_{1} )(x+r_{2}) =0\\[/tex]  to  [tex](2-2)(-2+2) =0[/tex]

[tex]r_{1} = -2 r_{2} = 2[/tex]
[tex]x = 2, -2[/tex]

I hoped this helped

Answer:

A. 18.94

Step-by-step explanation:

57.79 (Original Price) - 38.85 (Sale Price) = 18.94 (Difference)

Answer:

14.14

Step-by-step explanation:

We know that to calculate volume of a cone you must do π r^2*h/3

so we can divide the diameter by 2 to find the radius and just input the radius and height into the formula to get 14.14

A supervisor finds the mean number of miles that the employees in a department live from work is 24. Then the correct option is B.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The z-score is given as

[tex]z = \dfrac{x-\mu }{s}\\[/tex]

x = 29

s = 3.6

z = 1.5

Then the mean will be

[tex]1.5 = \dfrac{29 - \mu }{3.6}\\\\\mu = 29 - 5.4\\\\\mu = 23.6 \approx 24[/tex]

More about the z-score link is given below.

https://brainly.com/question/15016913

Answer:

sorry but I actually don't know about it sorty

Answer:

460 miles/hour

Step-by-step explanation:

Distance = Speed x Time

We want the Speed, so let's rearrange the equation:

Speed = Distance/Time

We are given Distance = 2070 miles

and Time of 4.5 hours

Speed = (2070 miles)/(4.5 hours)

Speed = 460 miles/hour

Answer:

Step-by-step explanation:

The Mean Value Theorem says that for continuous and differentiable function f(x) on the interval ( a, b ) there is number c ∈ ( a, b ) that

f'(c) = [tex]\frac{f(b)-f(a)}{b-a}[/tex] ....... (1)

~~~~~~~~~~~~~~~~

f(5) = 44

f(0) = - 1

5 - 0 = 5

f'(x) = 2x + 4 ⇒ f'(c) = 2c + 4

2c + 4 = [tex]\frac{44+1}{5}[/tex]

2c + 4 = 9 ⇒ c = [tex]\frac{5}{2}[/tex] (D).

Answer:

4 and 2/3 is the answer

Step-by-step explanation:

14/3= 4 and 2/3

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

Work Shown:

m/n = 5

m = 5n

m^2 - 25n^2 = (m)^2 - (5n)^2

m^2 - 25n^2 = (m-5n)(m+5n)

m^2 - 25n^2 = (5n-5n)(5n+5n)

m^2 - 25n^2 = (0n)(10n)

m^2 - 25n^2 = (0)(10n)

m^2 - 25n^2 = 0

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

Another approach:

m/n = 5

m = 5n

m^2 = (5n)^2

m^2 = 25n^2

m^2 - 25n^2 = 0

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

Consider the example that m = 10 and n = 2.

We can see that m/n = 10/2 = 5

Furthermore,

m^2 - 25n^2 = 10^2 - 25*2^2 = 100 - 100 = 0

I'll let you try out other examples.

Answer:

Step-by-step explanation:

hello :

this is  the arithmetic -sequence because : 8-5=5-5=3 (comon dif)

An =A1+(n-1)r   calculate......... (A1=2   and  r=3   and  n=41) continu...

Answer:

122

Step-by-step explanation:

LCM = 8

[tex]\frac{3}{8}[/tex] < [tex]\frac{6}{8}[/tex]

Finding the LCM is useful to compare the size of 2 different fractions.

LCM

First, let's define LCM. LCM stands for least common multiple. A multiple is a product of 2 numbers. For example, the multiples of 4 include 4, 8, 12, etc. The LCM of 4 and 8 is 8.

Comparing

Using the LCM we can find new fractions with the same denominator. These fractions are [tex]\frac{3}{8}[/tex] and [tex]\frac{6}{8}[/tex]. From this, we can tell that 6/8 is larger than 3/8.

Answer:

24.85

Step-by-step explanation:

17.75/5 = 3.55

3.55 x 7 = 24.85 :)

Have an awesome day!

Please rate and mark brainliest!

Answer:

55

Step-by-step explanation:

cell phone plan charges $50 per month for 400 minutes of talk time. The plan charges $0.10 for each additional minute you talk.

Let the monthly charge be y and x be the number of additional minutes.

So, the equation becomes,

y = 50 + 0.10(x)

For, The given month the additional minutes are 50.

so, y = 50 + 0.10(50) = 55

Answer:

here;

per month-50$ for 400 m

now'

50*0.10$

5$

again;

monthly + additional

50+5

$55

Answer:

SAS

Step-by-step explanation:

The sides are equal on the same side

the angles are also equal

and the other sides too

Answer:

15 miles

Use the Pythagoras theorem

Answer: 15

Step-by-step explanation:

Let's start by stating what we are given

The perimeter is 36

One side length is 12

And the other given side is 9

Finally we have an unknown side x

The value of all the sides added together is the perimeter.

So add all the sides

12+9+x=36

21+x=36

Subtract both sides by 21

21-21+x=36-21

x=15

Answer:

1,044

Step-by-step explanation:

14 x 46 = 644

16 x 25 = 400

644 + 400 = 1,044

Answer:

D

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - [tex]\frac{4}{5}[/tex] and c = 2 , then

y = - [tex]\frac{4}{5}[/tex] x + 2 ← equation of line

Answer: 21 ft

Step-by-step explanation: