10. Dan explained that the middle tower is always the same number as the step number. He
also pointed out that the two arms on each side of the tower contain one less block than
the step number
Create an equation that fits Dan's way of seeing the relationship.
11. Sarah counted the number of tiles at each step and made a table. She explained that the
number of tiles in each figure was always 3 times the step number minus 2.
step
number
1
2
3
4
5
6
number
of tiles
1
4
10
13
16
Create an equation that fits Sarah's way of seeing the relationship.
Answers
The given pattern is an illustration of a linear equation. The students' equations are:
Dan's: [tex]n = s + 2(s - 1)[/tex].Sally's: [tex]n = 3s - 2[/tex]Given that:
[tex]n \to[/tex] number of tiles
[tex]s\to[/tex] step number
See attachment for the pattern, that is being analyzed by the students.
Dan
For each step, the number of tower is the same as the step number.
This means that:
[tex]n \to s[/tex]
2 arms contain one less block means: 2 x (s - 1) blocks for both arms.
So, Dan's equation is::
[tex]n = s + 2 \times (s - 1)[/tex]
[tex]n = s + 2(s - 1)[/tex]
Sally
First, we calculate the slope (m) of the table
[tex]m = \frac{n_2 - n_1}{s_2 - s_1}[/tex]
So, we have:
[tex]m = \frac{4-1}{2-1}[/tex]
[tex]m = \frac{3}{1}[/tex]
[tex]m =3[/tex]
The equation is then calculated using:
[tex]n = m(s - s_1) + n_1[/tex]
This gives:
[tex]n = 3(s - 1) + 1[/tex]
Open bracket
[tex]n = 3s - 3 +1[/tex]
[tex]n = 3s - 2[/tex]
Hence;
Dan's equation is: [tex]n = s + 2(s - 1)[/tex]
Sally's equation is: [tex]n = 3s - 2[/tex]
Read more about linear equations at:
https://brainly.com/question/19770987
Related Questions
What is the largest integer that is below square root of 26?
Answers
Answer:
5
Step-by-step explanation:
Bcuz Square root 26 is 5.09
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Hope my answer helped u :)
Name an angle supplementary to angle JAE
Answers
Answer:
∡ CAE
Step-by-step explanation:
A pair of supplementary angles are two angles that both add up to 180°. Although we aren't told the measure of ∡JAE, we do know that it shares a leg with the ray CJ and the leg AE. Thus, another angle sharing AD would be supplementary to ∡ JAE which in this case is ∡ CAE
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Answers
Step-by-step explanation:
Hint :- FH is total length of the line. And FG is the length of the line till point G. We need tos subtract the total length and Length of FG
GH = FH - FG
GH = 15 - 9.7
GH = 5.3 cm
Answer:
GH = 5.3 mm
Step-by-step explanation:
the full length of the line is 15 mm
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= 15- 9.7 = 5.3
you can think of it like a rope with 15 mm length if you cut ✂️ 9.7 mm u will have 5.3 left
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R
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Answers
Answer:
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Step-by-step explanation:
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9x+4=14x-6
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x=2
Plug in
3(2)
6
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Answer:
Step-by-step explanation:
There is more than one (1) plane that can go through three collinear points. true or false?
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Bowl contains 100 pieces of coloured candy 54 Green 28 red 10 yellow and a blue they are all wrapped in foil so you do not know the colours of any pieces of candy what is the least number of pieces you must take to be sure that you have at least 15 pieces of the same colour
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Answer:
61
Step-by-step explanation:
please help me for my mathematics class, thank you
Answers
What is 4 ten thousands 3 tens divided by 10
Answers
Answer:
The answer is : 4003.
because 40 030 : 10 = 4003
Thank You!
A pair of jeans is on sale for 25% off the original price.Which expression represents the sale price?If the original price of jeans is $40, evaluate the expression to find the sale price.
Answers
Answer:
second choice
Step-by-step explanation:
Explanation:
If the original price is 100% then taking away 25% will give you 75%.
75% of 40 = 75/100 x 40 = 30
A line passes through the points (5, 6) and (0,5). What is its equation in slope-intercept
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Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y = 5x
Step-by-step explanation:
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(6-5)y = (5-0)x
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find each sum, product or quotient and write your answer as a fraction in simplest form. 1/9×3/4
Answers
Answer:
1/12
Step-by-step explanation:
[tex] \dfrac{1}{9} \times \dfrac{3}{4} [/tex]
[tex] \dfrac{1 \times 3}{9 \times 4} [/tex]
[tex] \dfrac{3}{36} [/tex]
[tex] \dfrac{1}{12} [/tex]
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Which is the correct label of the parallel lines?(4 points)
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Answer:
1
Step-by-step explanation:
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Answer:
A ll B. hope this helps
Step-by-step explanation:
- Zombie
What is the answer ksifikskncjns
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Simple, you calculate the like terms.
You ignkre3the root for now. As you calculate, you see that next to every bracket is a 2. So everything in that bracket gets multiplied by 2. The, you subtract all the like terms in that order that they are given in.
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The Do-Gooders decide to have a fundraiser featuring local bands. In order to make money for the fundraiser, they charge $25 per person. They know there will be some expenses, but for now they would like to see how much money they could potentially make from selling tickets to the concert.
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Answer:
Step-by-step explanation:
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Please help me, I really have to get this right or i’ll get my grade dropped. :/
Answers
Answer:
C. Q was flipped over the y axis
8+(7-1)²/20-9·2
Please hurry
Answers
Hey there!
Just do PEMDAS to solve
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
8 + (7 - 1)^2 / 20 - 9 * 2
= 8 + 6^2/ 20 - 9 * 2
= 8 + 36/10 - 9 * 2
= 8 + 9/5 - 18
= 49/5 - 18
= - 41/5
Therefore, your answer is:
-41/5 ≈ 8 1/5 or 8.2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
11 4/5 + -8 1/3
NO LINKS OR TROLLING
Answers
Answer:
52/15= 3.46
YOUR WELCOME PERSON
Trina ran 2 1/2 miles of Friday, 2 3/4 miles on Saturday and 3 mies on SUnday. The next week she ran the same amount. How far in miles did she run in two weeks?
Answers
Answer:
16 [tex]\frac{1}{2}[/tex] miles
Step-by-step explanation:
2 [tex]\frac{2}{4}[/tex] + 2 [tex]\frac{3}{4}[/tex] = 4 [tex]\frac{5}{4}[/tex] which equals 4 + 1 [tex]\frac{1}{4}[/tex] or 5 [tex]\frac{1}{4}[/tex]
5 [tex]\frac{1}{4}[/tex] + 3 = 8 [tex]\frac{1}{4}[/tex]
she ran 8 and one-quarter miles in the first week and if she ran the same amount the second week then we can add to get the answer:
8 [tex]\frac{1}{4}[/tex] + 8 [tex]\frac{1}{4}[/tex] = 16 [tex]\frac{2}{4}[/tex] or 16 [tex]\frac{1}{2}[/tex]
Note: Enter your answer and show all the steps you use to solve this problem in the space provided.
(8×5)÷4×5
Show all steps.
Answers
Answer:
=50
Step-by-step explanation:
BODMAS
(8x5)-brackets
=40÷4x5
40÷4-division
10x5-multiplication
=50
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Conditionals: photo attached
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Answer:
if the aninmal is fluffy then it is not an aligator
Step-by-step explanation:
2x÷3x=
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Answers
[tex]\large \mathfrak{Solution : }[/tex]
Here's the solution :
[tex] \dfrac{2x}{3x} = \dfrac{2}{3} \: \: \: \: (variable \: \: x \: \: gets \: \: cancel)[/tex]Therefore, the answer = 2/3 or can be written as 0.66 in the decimal form ( upto 2 decimal places ).
PLEASE HELP I NEED IT RIGHT NOW!!!write an algebraic expression for the product of a number x and 4
Answers
Answer:
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Sixth grade > H.5 Divide decimals by whole numbers: word problems TWZ
You
A chocolate factory made 708.89 pounds of milk chocolate in 5 days. How much milk
chocolate, on average, did the factory make per day?
Answers
Answer:
Step-by-step explanation:
708.89 / 5
= 141.788 pounds.
Help my friend out?
Answers
Answer:
13. -2
14. 0
15. 2
16. 0
Step-by-step explanation:
Since the function is originally f(x), you go to wherever the x value is and see what the y value is.
So...
f(2) means go to x = 2 and see that y = -2
14. 0
15. 2
16. 0
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100 gallons in kilolitres if 1 gallon = 3.79 litres
Answers
Answer:
0.38 kilolitres
Step-by-step explanation:
1 gallon = 3.79 litres
100 gallons = 3.79 x 100 = 379 litres
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What is the image of (0,6) after a reflection over the y-axis?
Answers
Answer:
(-0,6)
Step-by-step explanation:
Reflection in y-axis,negate the x
(x,y) = (-x,y)
Point (0,6)
(0,6) = (-0,6)
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Answers
Answer:
x = 25 Degrees
Step-by-step explanation:
74-49 to make 25. The 74 represents the who entire angle. The 49 represents the smaller bottom angle. To get the other angle you would subtract 49 from 74 to make 25 degrees.
