Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their shadows. Dixon's shadow is 18 feet long and Ariadne's shadow is 15 feet long. If Dixon is 6 feet tall, how tall is Ariadne?

Answers

Answer 1

Answer: Ariadne is 5 feet tall because 18 is 6x3 which would mean you would have to divide 15 by three to get the answer which is 5.

Answer 2

Answer: She would be 5ft tall because if you set the problem up in a ratio and cross multiple and divide 5 is your answer

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What is the answer for the picture #26

Answers

Oh you're so close !

Just look again at #22, right above it.
Your answer to #22 is correct.
Think hard again about #22.
You'll see how it can help you solve #26, completely on your own.

the answer is 1/13 ². Because if you divide 1/169 and 1/13, then you get 1/13. With that being said, if you multiply 1/13 and 1/13, then you get 1/169. And of course the symbol ( ² ) means squared so you multiply that number he (² ) is over twice. So like 3², 3*3=9.

Helpful???

What is the solution of the system of equations? y = –3x + 8 y = –5x – 2

Answers

$y=-3x+8 \n y=-5x-2 \n \n -3x+8=-5x-2 \n 2x=-10 \n x= (-10)/(2) \n x=-5 \n \n y=-3(-5)+8 \n y=15+8 \n y=23\n \n \boxed{(-5,23)}$

$y=-3x+8 \n y=-5x-2 \n \n -3x+8=-5x-2 \n -3x+5x=-2-8 \n 2x=-10 \n x=- (10)/(2) \n x=-5 \n y=-3(-5)+8=15+8=23 \n \n \boxed{-5,23}$

A line has a rise of 6 and a slope of 1/20. What is the run?

Answers

The slope of a line is a number that represents thedirection and the steepness of the line. Or it is commonly defined as the riseover the run. It is denoted by the letter m. Let’s say that y is the rise and xis the run. A line may be increasing or decreasing just by knowing the slope. Ifthe slope is a negative number, the line is decreasing, and if it is a positivenumber, the line is increasing. Here you have a slope of 1/20 and a rise of 6. Them is equal to 1/20 and y equals 6. So

m = y/x
1/20 = 6 /x
x = 6/(1/20)
x = 120

Solve 4x = 16 for x.
x =

Answers

Well what ever you do to one side, you do to the other.
Your goal is to get the x alone
in order to do that we divide both sides by 4
4x = 16
÷4 = ÷4 The left side cancels out and the right side gets solved
********* because 16 ÷ 4 = 4 :)
x = 4

And there's your answer
x = 4

When in doubt, eat a pineapple :)

Just divide both sides by 4.

4x / 4 = 16 / 4

x = 4

What's 2/3 written as a fraction with a denominator of 9?

Answers

2/3 written with a denominator of 9 would be..
answer = 6/9
:)

a traveler has 7 pieces of luggage . how many ways can the traveler select 3 pieces of luggage for a trip

Answers

Answer:

Step-by-step explanation:

7-3= 4

7*6*5 = 210

3*2 = 6

210/6 = 35

Took the test this is the correct answer

Well, you could assign a letter to each piece of luggage like so...

A, B, C, D, E, F, G

What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.

My answer and workings are below...

35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.

210 arrangements (35 x 6) when order is taken into consideration.

*There are 6 ways to configure 3 letters.

Alternative way to solve the problem...

Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.

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