Step-by-step explanation:
we simply use the formula and use 3.14 for pi.
so, the circumference is
2×pi×r = 2×3.14×4 = 3.14×8 = 25.12 in
so, D is correct.
Answer:
The intercept is 2 or (0,2) because that is where it intercepts on the Y axis
Answer:
The answer is b
Step-by-step explanation:
the slope is going upwards to towards quadrant 1 so the slope is positive. slope is also defined by rise/run, y/x. you can see that it goes upwards by one and right 2 times to get to the next value point; that means it is 1/2.
For this case we have the following variables:
x: Quantity of orange picks
y: Quantity of green picks
According to the statement, we have the following proportion:
, that is:
![5x = 2y](https://tex.z-dn.net/?f=5x%20%3D%202y)
If there are 21 picks, then:
![x + y = 21](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2021)
So, we have two equations with two unknowns:
----> (1)
----> (2)
From (2):
![x = 21-y](https://tex.z-dn.net/?f=x%20%3D%2021-y)
Substituting x in (1):
![5 (21-y) = 2y\\105-5y = 2y\\105 = 7y\\](https://tex.z-dn.net/?f=5%20%2821-y%29%20%3D%202y%5C%5C105-5y%20%3D%202y%5C%5C105%20%3D%207y%5C%5C)
![y = \frac{105}{7}\\y = 15](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B105%7D%7B7%7D%5C%5Cy%20%3D%2015)
Substituting
in (2) and clearing x, we have:
![x + 15 = 21](https://tex.z-dn.net/?f=x%20%2B%2015%20%3D%2021)
![x = 21-15](https://tex.z-dn.net/?f=x%20%3D%2021-15)
![x = 6](https://tex.z-dn.net/?f=x%20%3D%206)
So, there are 6 orange picks
Answer:
6 orange picks
3 is in the tens and 1 is in the ones. To explain more easily... 30+1 is 31.<span />