RAMPS Rodney is rolling marbles down a ramp. Every second that passes, he measures how far the marbles travel. He records the information in the table shown below.

Make a conjecture about how far the marble will roll in the fifth second.

RAMPS Rodney Is Rolling Marbles Down A Ramp. Every Second That Passes, He Measures How Far The Marbles

Answers

Answer 1

Using the principle of common difference , we can observe that the distance moved per roll increases by a constant amount of centimeters . Hence, the distance moved in the 5th roll is 180 cm

Setting up a proportional relationship :

Second = S Distance = d

The common difference between each roll can be obtained thus :

d2 - d1 = d3 - d2 = d4 - d3

60 - 20 = 100 - 60 = 140 - 100

40 = 40 = 40

Hence, the common difference = 40

The distance obtained on the fifth roll :

d(5) = d(4) + common difference

d(5) = 140 + 40

d(5) = 180

Therefore, the distance obtained on the fifth roll is 180 cm

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Related Questions

A square metallic frame has a perimeter 208cm .It is bent in the shape of a circle. Find the area of the circle.​

Answers

Answer:

676 pi

Step-by-step explanation:

208 ÷ 4 =52

(each length =52cm)

diameter = 52 cm

radius = 52÷2 = 26cm

area of circle = pi × radius ^2

pi × 26^2 = 676 pi

What is the atomic number of an atom?

Question 3 options:

the number protons and neutrons


the number of protons


the number of electrons and neutrons


the number of neutrons

Answers

Answer:

The number of protons

Step-by-step explanation:

Its the correct answer

9. Which unit of measure would be appropriate for the volume of a cube with sides of 2 meters.​

Answers

Answer:

The unit of measure appropriate is cubic metre or cubic meter (m³)

Step-by-step Explanation:

we know that

The volume of a cube is equal to

V = b^3

where b is the length side of the cube

In this problem we have

b = 2m

substitute in the formula of volume

V = 2^3

V = 8 m^3

therefore

The unit of measure appropriate is cubic metre (m³)

A car is traveling at a rate of 99 kilometers per hour. What is the car's rate in kilometers per minute? How many kilometers will the car travel in 15 minutes? Do not round your answers.

Answers

Answer:

it is going 1.65 kilometers per minute and it will travel 24.75 kilometers in 15 minutes

Step-by-step explanation:

Andy is hanging wallpaper in his kitchen. He is able to cover 2/2 fifths of the walls in the room using 6 rolls of wallpaper. What is the number of rolls of paper used per wall?
The number of rolls per wall is????

Answers

Answer:

8

Step-by-step explanation:

to be honest tho I don't even know

Which rule explains why these triangles are congruent?

Answers

The triangles are congruent due to SAS

Create a right triangle, in which A is the right angle, and mZC is approximately 60°. What is the approximate measure of _B? m_B = What is the sum of m_A, m_B, and m_C?​

Answers

Answer:

The answer would be 30 the second one is 180

mark me brainlyest plz

What is the decimal equivalent of 2
- ?
3​

Answers

Answer:

.666

Step-by-step explanation:

The decimal answer of two thirds is zero point six repeating

Farid's friend can't eat wheat, so Farid is baking him a loaf of gluten-free raisin bread. He mixes the dough and leaves it in a bowl to rise. Then, Farid forms the dough into a loaf and puts it in a pan to rise for another 1 /2 of an hour. In all, the dough rises for 1 3 /4 hours.

Answers

If you want to know how long he let it rose for at the beginning it is 1 hour and a 1/4

can somebody please help me with this, also show work so that way i can copy because this is due tmr and i have no clue how to do this at all, thank you so much! (also its 8th grade math)

Answers

27/135 = x/100
27 *100=135*x
2700=135x
Divide both sides by 135
20 =x

7 pls pls pls help meeee!

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It's 90° because Z has to be 45

Please provide the answer for the x and z as seen in the image

Answers

here so x is 5 and z is 2

I need so.e help with this​

Answers

Answer:

(3,7) is not a solution

Step-by-step explanation:

You fill in the values x=3 and y=7 in both equations and see if you end up with something that is true.

-5·3 - 2·7 = 23 is not true, because it simplifies to -29 = 23

no need to look further, but if you would, the second equation is also false:

3 + 4·7 = -19 is also not true.

The real solution by the way is (-3, -4).

3/4 x 28= 1/3 of y state y? Please im in a hurry

Answers

The answer is: Y = 63

Use the given figure to complete the statement below. is the bisector of ∠COA.

Answers

Answer:

45

Step-by-step explanation:

Sue earns a $97.50 bonus. Her financial advisor has her save 3/10 of it. Sue buys concert tickets that $22.75 each using the rest of her bonus. How many can she buy?

Answers

Answer:

She can buy 3

Step-by-step explanation:

She can buy 3 concert tickets.

2(y−1)+6y = −10
Solve as Y=?

Answers

Answer:

0.111 hope that helps you

2(y - 1) + 6y = -10
2y - 2 + 6y = -10
8y - 2 = -10
8y = -8
y = -1

Fiona planted tomato plants in her back yard earlier this year. So far, they have produced 55 tomatoes. From past experience, she expects the tomato plants to produce an additional 14 tomatoes each week for the rest of the summer. Which of the following recursive formulas can be used to determine the total number of tomatoes produced by her plants after any given number of weeks in the summer, assuming that her expectations are correct?

Answers

Answer:

Although it is a short-lived perennial, tomato plants can bear fruit for more than one year in parts of the world that never dip below 65 degrees Fahrenheit. If you have a greenhouse and can keep it heated during the cold months, consider placing an experimental beefsteak, plum or grape tomato plant among your tropical flowers.

Step-by-step explanation:

A truck can cover 126km in 12 hours.Find the distance
covered by the truck in 8 hours.

Answers

Answer:

[tex] |v| = \frac{d}{t} \\ |v| = \frac{126km}{12hr} = 10.5km. {hr}^{ - 1} \\ d = |v| \times t\\ d = 10.5km. {hr}^{ - 1} \times 8hr \\ \boxed{d = 84km}[/tex]

Hello wonderful people! I am having trouble with the one question and I was wondering if someone could help me? I promise brainiest for the correct answer. Thanks so much for your time!

Answers

(9,2)hours I think this is the answer

Which of the following best describes the line passing through (0, 1) with a slope of
-1/2?

Answers

Answer:

I would say  A,B, or D

Step-by-step explanation:

Sarah has $31,000 in a savings account. The interest rate is 8% per year. How much simple interest will she earn in 5 years?

Answers

Answer:

$12,400

Step-by-step explanation:

Interest = Principal x Rate x Time (in years)

I = 31000 x .08 x 5

I = 12,400

Factorials: Solve 3!

Answers

Answer:

6

Step-by-step explanation:

3! = 3 x 2 x 1 = 6

PLEASE ANSWER FAST IT WILL HELP ME SO MUCH

Answers

Answer:

I believe it's enlargement

Step-by-step explanation:

because you have a positive scale factor and it goes to the right 3 and up 4

What is 42893+2432743

Answers

Answer:  

42,893 + 2,432,743 = 2,475,636

, Hope this helps :)

Have a great day!!

Answer:

[tex]\sf 42893+2432743[/tex]

[tex]\sf =2475636[/tex]

parallelogram ABCD with vertices A(6,8) B(10,9) C(9,3) and D(5,2): 90 counterclockwise rotation about P(4,1)
A ( , )
B ( , )
C ( , )
D ( , )

Answers

Answer:

A(-3 , 3)  B(-4 , 7)  C(2 , 6)  D(3 , 2)

Step-by-step explanation:

Rotation of the parallelogram about the point P(4, 1), is done by taking

point P as the origin, and using relative coordinates for the rotation.

[tex]\underline{A(-3, \, 3)}[/tex][tex]\underline{B(-4, \, 7)}[/tex][tex]\underline{C(2, \, 6)}[/tex][tex]\underline{D(3, \, 2)}[/tex]

Reasons:

The given parameters are;

Vertices of the parallelogram ABCD are;

A(6, 8), B(10, 9), C(9, 3) and D(5, 2)

Point about the parallelogram is rotated = P(4, 1)

Angle of rotation = 90°

Direction of rotation = Counterclockwise

90° rotation counterclockwise of (x, y) about the origin gives → (-y, x)

Therefore, we have;

The given points relative to the point P are;

A'(6-4, 8 - 1) = A'(2, 7)

B'(10 - 4, 9 - 1) = B'(6, 8)

C'(9 - 4, 3 - 1) = C'(5, 2)

D'(5 - 4, 2 - 1) = D'(1, 1)

Therefore, we get;

A'(2, 7) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] A''(-7, 2)

B'(6, 8) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] B''(-8, 6)

C'(5, 2) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] C''(-2, 5)

D'(1, 1) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] D''(-1, 1)

Which then gives;

The image location are;

A(-7 + 4, 2 + 1) = A(-3, 3)

B''(-8 + 4, 6 + 1) = B(-4, 7)

C''(-2 + 4, 5 + 1) = C(2, 6)

D''(-1 + 4, 1 + 1) = D(3, 2)

Therefore, we have;

A(-3, 3), B(-4, 7), C(2, 6), and D(3, 2)

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A car travels a distance of 130 miles in a time of 1.8 hours. What is its average speed rounded to 1dp?

Answers

Answer:

72.2

Step-by-step explanation:

130/1.8

Multiply (x + 2y)(x2 − xy + 3y).

Answers

Answer:

[tex] {x}^{3} + {x}^{2} y + 3xy - 2x {y}^{2} + 6 {y}^{2} [/tex]

consider the linear function f(x)=4x-5 Find the values of x for which f(x)=3,f(x)=5,f(x)=-3

Answers

Answer:

f(2) = 3

f(5/2) = 5

f(½) = -3

Step-by-step explanation:

Given the linear function f(x) = 4x - 5:

f(x) = 3

3 = 4x - 5

3 + 5 = 4x - 5 + 5

8 = 4x

8/4 = 4x/4

2 = x

Therefore, when f(x) = 3, x = 2.

f(x) = 5

5 = 4x - 5

5 + 5 = 4x - 5 + 5

10 = 4x

10/4 = 4x/4

5/2 = x

Therefore, when f(x) = 5, x = 5/2.

f(x) = -3

-3 = 4x - 5

-3 + 5 = 4x - 5 + 5

2 = 4x

2/4 = 4x/4

½ = x

Therefore, when f(x) = -3, x = ½.

Solve each system of linear equations using the elimination mehod
-8x + 10y = -22
8x - 15y = 17

Answers

Answer: y = 1 and x = 4

Step-by-step explanation:

-8x + 10y = -22

8x - 15y = 17

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

- 5y = -5 Add the two equations to eliminate x

y = 1 Solve for y

=====

8x - 15y = 17 (y = 1) Use y=1 in either equation

8x - 15 = 17

8x = 32

x = 4 Ta da

Answer:

solution:  x = 4, y = 1 or (4, 1)

Step-by-step explanation:

To solve the system of linear equations using the elimination method, simply add both equations together (since the coefficeints of x have opposite signs):

-8x + 10y = -22

+ 8x -  15y =  17

       - 5y  = -5

Divide both sides by -5 to solve for y:

[tex]\frac{-5y}{-5} = \frac{-5}{-5}[/tex]

y = 1

Next, substitute the value of y into one of the equations to solve for x:

-8x + 10y = -22

-8x + 10(1) = -22

-8x + 10 = -22

Subtract 10 from both sides

-8x + 10 - 10 = -22 - 10

-8x = -32

Divide both sides by -8 to solve for x:

[tex]\frac{-8x}{-8} = \frac{-32}{-8}[/tex]

x = 4

Therefore, the solutions to the given systems of linear equations are: x = 4, y = 1 or (4, 1).

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