Dylan is playing with a see-saw on the playground. He puts a piece of tape at specific distances from the center of the see-saw so that there ratio of the distance between the center and the tape and the distance between the center and the right end is always a common fraction. Dylan then records the relationship between the height of the tape and the height of the left end of the see-saw, relative to a neutral position.

Use the pattern you observe in the table below to correctly complete Dylan’s conjectures.


distance from center to tapedistance from center to right end
height of tape
(centimeters)
height of left end
(centimeters)
12
−1
2
12
2
−4
13
−2
6
13
1.5
−4.5
If the tape is placed at 13 of the distance between the center and right end, when the left end is at a height of 18 centimeters, relative to a neutral position, the tape will be at a height of
centimeters, relative to a neutral position.


If the tape is placed at 14 of the distance between the center and right end of the see-saw, then the height of the left end will be
times the height of the tape, relative to a neutral position.

Answer:

y= 2/3x -1

Step-by-step explanation:

1. b = -1

2. slope = 2/3

Answer:

[tex]A = \frac{220}{3}[/tex]

[tex]B = \frac{160}{3}[/tex]

[tex]C = \frac{160}{3}[/tex]

Step-by-step explanation:

Given

[tex]A + B + C = 180[/tex]

[tex]B = C[/tex]

[tex]B = A- 20[/tex]

Required

Solve for A, B and C

The equation binding A, B and C have been written out (above)

Substitute C for B in [tex]A + B + C = 180[/tex]

[tex]A + B + B = 180[/tex]

[tex]A + 2B = 180[/tex]

Substitute A - 20 for B

[tex]A + 2(A - 20) = 180[/tex]

[tex]A + 2A - 40 = 180[/tex]

[tex]3A - 40 = 180[/tex]

Solve for 3A

[tex]3A = 180 + 40[/tex]

[tex]3A = 220[/tex]

[tex]A = \frac{220}{3}[/tex]

Solve for B in [tex]B = A- 20[/tex]

[tex]B = \frac{220}{3} - 20[/tex]

[tex]B = \frac{220 - 60}{3}[/tex]

[tex]B = \frac{160}{3}[/tex]

Recall that [tex]B = C[/tex]

[tex]C = \frac{160}{3}[/tex]

Answer:

b

Step-by-step explanation:

Answer:

1580 miles

Step-by-step explanation:

We can represent the total cost for the rental with the equation d=560+0.5m where d is the cost and m is the miles driven. We know this equation works as  560 is the fixed cost, and it costs $0.5 per mile, and in math, "per" means multiplication.

Now we can solve for m as we know that d=1350 in this case.

Solving we get:

1350=560+0.5m

790=0.5m

1580=m

Thus, they drove 1580 miles.

Answer:

x = 26

Step-by-step explanation:

(x - 1) 2 = 50

or, 2x - 2 = 50

or, 2x = 50+2

or, 2x = 52

or, x = 52/2

or, x = 26

hence, x = 26

Answer:

71

Step-by-step explanation:

the fractional part is 5 and 5 is 5 or above. Therefore, we add 1 to the integer part and remove the fractional part to get the answer Therefore, we add 1 to the integer part and remove the fractional part to get 70.5 rounded to the nearest whole number which is 71

Answer:

Step-by-step explanation:

14...................................

11 2/3 pages in 15 minutes

7/9 pages per min

Option B

15....................................

5 2/3 meters in 1/3 hours

Correct option is B

Answer:

14. B

15. B and D

Step-by-Step Explanation:

Question 14:

11 2/3 ÷ 15

35/3 * 1/15

35/45

7/9

Therefore, the answer is B.  

Question 15:

We need to divide to find the unit rate.  5 2/3 ÷ 1/3

17/3 * 3/1

51/3

17

Find the length if Farrah walks 1/5 of an hour.

1/5 * 17 = 3 4/5

Therefore, the answer is B and D.  

Best of Luck!

Answer:

1 hour and 45 mins

Step-by-step explanation:

I am not sure I am right but I think I am

Hope this helps!

Answer:

1 hour and 25 minutes

Step-by-step explanation:

Answer:

He has ran 250 metres.

Step-by-step explanation:

Since he runs 5 meters per second, you would obviously multiply 50 times 5, which is 250.

Answer:

250 meters

If you do 5 x 50 you will get how far the runner ran because I mean that's how averages work, I really hope this helped!

Answer:

The answer would be -9x^2+x-8

Answer:

1.) 0

2.) undefined

3.) undefined

Step-by-step explanation:

2020EDGE

The value of function f(x) = |x-3| at x=3:

f(3) = 0

Given,

f(x) = |x-3|

Now,

Here the function f(x) is modulus function . Thus the values coming out of the function will be positive .

So,

f(x) = |x-3|

Now we have to substitute the value of x in the function.

f(3) = |3 - 3|

f(3) = |0|

f(3) = 0

Thus the value of function at x = 3 is 0 .

Know more about modulus function,

https://brainly.com/question/30241426

#SPJ2

Answer:

6: no

7: no

-9: yes

-2: no

Answer:

5.5

Step-by-step explanation:

Answer:

1/ 1 5 teaspoons of garlic per teaspoon of hot sauce

Step-by-step explanation:

Scott is making a dip that has 3 /5 of a teaspoon of garlic for every 1 /2 of a teaspoon of hot sauce.

3/5 teaspoon of garlic = 1/2 teaspoon of hot sauce

1/2 teaspoon of hot sauce = 3/5 teaspoon of garlic

1 teaspoon of hot sauce =

= 1 × 3/5 ÷ 1/2

= 3/5 ÷ 1/2

= 3/5 × 2/1

= 6/5

= 1 1/5 teaspoon of garlic.

Therefore, the unit rate of garlic to hot sauce in the dip is:

1/ 1 5 teaspoons of garlic per teaspoon of hot sauce

Answer:

This is my best explanation

Step-by-step explanation:

3y-y=2y

2y+4y=6y

Now you need to divide 12 by 6 to get the value of y

That will be 12/6=2

So, y=2

Have a nice day.

Answer:

Step-by-step explanation:

12 = 3y - y + 4y

combine ys

3- 1 = 2

12 = 2y +4y

12 = 6y

divide,

12/6

y=2

Given parameters:

  Find if any of the equations are the equivalent;

           3a+ 6 = 15

            3a = 9

            a+ 2= 5

              [tex]\frac{1}{3a}[/tex] =1

To find which of the equations are equivalent to one another, let us solve them first. The ones with the same solution are definitely equivalent.

     (i)  3a+ 6 = 15

                3a  = 15 - 6

                 3a  = 9

                    a = 3

       (II)   3a = 9

                a = 3

    (III)     a+ 2= 5

                a = 5-2

                a = 3

   (IV)      [tex]\frac{1}{3a}[/tex] =1

             1 = 3a

             a  = [tex]\frac{1}{3}[/tex]

We clearly see that the first three equations are equivalent.

Answer: no

Step-by-step explanation:

Answer:

2:5

Step-by-step explanation:

Have a good day!

Answer:

6:10 but 3:5 simplified

Answer:

-10

Step-by-step explanation:

you just subtract -4 by 6 and get -10

Answer:10

Step-by-step explanation: Because -4 is four numbers away from zero, and Then add that to six.

Answer:

The answer is 100

Step-by-step explanation:

Answer:

Correct answer D. y = 4x2 + 5x – 6

Step-by-step explanation:

just took the test

Answer:

B. 850-100

Step-by-step explanation:

Less than means you should take away (subtract). Since Diego scored less than Maria you are taking the number of points Diego got away from Marias points. So it would be 850 take-away 100, or 850-100.

Answer:

Step-by-step explanation:

in this problem, we are expected to solve for the change in height of the Appalachian Mountains

given that

the initial height was = 30,000 feet.

the current height is=6,684 feet.

Due to erosion the change/difference in height is give as

change/difference=30000 -6684

change/difference=23316ft

this means that for millions of years ago 23316ft of Appalachian Mountains have been eroded

Answer:

17/5x1/2=17/10

Step-by-step explanation:

improper fraction---17/10

(1 7/10)[into mixed fraction

Answer:

7436947

Step-by-step explanation:

Answer:

Nepal's national anthem really promotes diversity

Step-by-step explanation:

There are all sorts of words used that display diversity