MATHEMATICS MIDDLE SCHOOL

Which strategy best explains how to solve this problem? Colin is preparing for a marathon by running in his neighborhood. The first week, he runs one block. The next week, he runs twice as many blocks as the first week (2 blocks). Each week, he plans to run twice as many blocks as he ran the week before.

How many blocks will Colin run by the end of the sixth week?

A.
Use objects to model the problem.

Put out 1 chip to represent the blocks run in week one. Put out twice that amount for week two. Put out twice that amount (from week two) for week three. Do this 3 more times, putting out twice the amount from the previous week each time.

B.
Make a table.

In the first row, write first week - 2 blocks. In the next row, write second week - 4 blocks. In the third row, write third week -6 blocks. Continue this pattern for three more rows.

C.
Write a number sentence.

(1 + 2) × 6 = x
Add the number of blocks run in the first and 2nd week. Then multiply the sum by the number of weeks (6).

Answers

Answer 1
Answer: Here is the table
X | Y
_|__
1 | 2
2 | 4
3 | 8
4 | 16
5 | 32
6 | 64

Because if he runs twice as many blocks as the previous week, you have to multiply the previous week's number of blocks by 2.
You will have to ask someone else about the equation, though, because I'm not as good with the equations.
Answer 2
Answer: A is the best to use. B and C are if you're adding 2 instead of doubling :)

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What is the fuction eqation for (0,-2)and (5,-1)

Answers

y = mx + b

m is the slope
b is the y-intercept

First find the slope

slope = (y_2-y_1)/(x_2-x_1) = (-1+2)/(5-0)= (1)/(5)

So far we have: y = 1/5x + b

Now we need to find b

y = 1/5x + b

Plug in (0,-2)

-2 = 1/5(0) + b

-2 = b

So the final equation is \boxed{y=(1)/(5)x-2}
f(x) = 1/5 x - 2

-2 is your y intercept and using (y-y)/(x-x) you can get slope 

 (-1 - - 2)/ (5-0) = (-1+2) / (5) = 1/5

The dimensions of rectangular prism X are twice the dimensions of rectangular prism Y. The surface area of prism X is 100 square inches. What is the surface area of prism Y? The dimensions of Prism Z are three times the dimensions of rectangular prism Y. What is the surface area of prism Z?PLEASEEE help and it would be awesome to tell me how you got your answer so I know what to do.
Thx!

Answers

Given: 
Dimensions of rectangular prism X are twice the dimension of rectangular prism Y.

prism X = 2(prism Y)
Surface area of X = 2(Surface area of Y)
100 square inches = 2(Surface area of Y)
100 square inches ÷ 2 = Surface area of Y
50 square inches = Surface area of Y

Dimensions of Prism Z are three times the dimensions of rectangular prism Y.

Prism Z = 3(Prism Y)
Surface Area Z = 3(50 square inches)
Surface Area of Z = 150 square inches

Can 11/24 be simplified??

Answers

no it can not be simpified because the number 11 is prime
No, 11 is a prime number and 24 is a composite.
So, no it can't be simplified.


Hope I Helped!!!

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Answers

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what is the volume of a rainwater collection tank that is shaped like a cylinder with a diameter of 10 cm when using 3.14 for\pi

Answers

The equation to find the volume of a cylinder is V=\pi×r²×h. To find r you just divide the diameter which is 10 by 2 so r is 5. Just plug everything in and solve, V=\pi×5²×243.84. You should get V≈19,151.15

Find the volume of the prism.CmCm

Answers

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3/2 times 5/4 times 7/3=(3*5*7)/(2*4*3)=105/24=4 and 9/25 cm^3
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