Answer:
- 1) y = 13.5x + 1
- 2) y = 12x + 4
- 3) Sam won the race
Step-by-step explanation:
<h3>Part 1</h3>
Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.
<u>The distance after x seconds is:</u>
<h3>Part 2</h3>
Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.
<u>The distance after x seconds is:</u>
- y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4
<h3>Part 3</h3>
<u>After 15 seconds the distance from the start line is:</u>
- Sam ⇒ y = 13.5*15 + 1 = 203.5 ft
- Alice ⇒ y = 12*15 + 4 = 184 ft
As we see Sam is further from the start line than Alice
Answer:
The correct option is 1. The circumference of circle is 12π units.
Step-by-step explanation:
From the given figure it is clear that the radius of the circle is6 units.
The circumference of a circle is
Where, r is the radius of the circle.
The circumference of the circle is
The circumference of circle is 12π units.
Therefore option 1 is correct.
Answer:
B.(x-6)
Step-by-step explanation:
12/(x^2 - 11x+30) - 43/(x^2-6x)
12/((x - 5) (x - 6)) - 43/x(x-6) [Factoring the denominator]
Both have x-6 common in the denominator,
Answer:
3.5 more times sugar in B
Step-by-step explanation:
We need to see that the fact that Beverage B is 0.21 sugar can be translated to percentages, just by multiplying and dividing by 100 to get it easier to see:
0.21 * 100 /100 = 21/100 = 21% percent
This means that for every 100 units, 21 are sugar.
Now we can compare percentages directly, as both have the same volume because are sold in identical cans. We need to get how many times is 21 greater than 6. The only thing we need to do is the ratio between them:
21/6= 3.5
This implies that 21 is 3.5 greater than 6, you can verify it by multiplying 6 by 3.5 and getting 21.
So, B has 3.5 times more sugar than A.
