Answer:
Step-by-step explanation:
If the variation is proportional dividing the y-value by the x-value will give the same result for all table entries. That quotient is the constant of variation (k).
Here 6.4/4 = 11.2/7 = 16/10 = 20.8/13 = 1.6
The value of y varies directly as x, and the constant of variation is 1.6. The equation is ...
y = 1.6x
Answer:
You and your friend are 1.797 miles apart. Since east and west are opposite directions, we just add the distances.
Step-by-step explanation:
They are walking on opposite directions, so to see how far apart, we add how much each of you walked.
We have that:
You walk 1.237 miles west.
He walks 0.56 miles.
1.237 + 0.56 = 1.797.
You and your friend are 1.797 miles apart. Since east and west are opposite directions, we just add the distances.
Answer: The maximum length of a toothpick that still fits the box is
Explanation: the longest straight distance within a rectangular box (prism) is its diagonal (in three dimensions), i.e., the path from one corner to its diagonally opposite corner.
The diagonal length in a two-dimensional rectangle can be calculated using the Pythagorean Theorem. There is a three-dimensional analog of that theorem for prisms. Let a,b,c be the sides of the prism. Then the following holds for the diagonal length d:
In order to answer the question we determine the length d:
You can set up the equation 3y=2r, with r standing for the amount of red paint in gallons, the same going for y. If you substitute in 8.5 for y, you get that 2r=25.5. Divie each side by 2, and r=12.75. So, Pedro uses 12.75 (or 12 and three-fourths) gallons of red paint.
We can solve this problem by the rule of three.
88 beats-------------------1 minute
3.1*10⁹ beats------------ x
x=(3.1*10⁹ beats * 1 minute) / 88 beats=35227272.73 minutes.
Now, we express this amount of time in years.
1 year=365 days
365 days=365 day*(24 hour/1day)*(24 hour /1day)*(60 minutes /1hour)=
=525600 minutes.
525600 minutes----------------------1year
35227272.73 minutes----------------x
x=(35227272.73 minutes * 1year) / 525600 minutes=67.0229 years
≈ 67 years.
Answer:this person can live 67 years.