Answer:
1) c 2)c 3)b
Step-by-step explanation:
Answer:
24 hours
Step-by-step explanation:
To answer this question, you just have to divide the total amount Mary is trying to earn, $132, by the unit rate, $5.50 per hour:
132 / 5.50 = 24
So, Mari needs to work 24 hours to earn $132
Hope this helps :)
A turning point occurs when the velocity is equal to zero, but the acceleration is not equal to zero.
t(x)=(x+5)^3+7
dt/dx=3(x+5)^2
d2t/dx2=6(x-5)
dt/dx=0 only when x=-5
However, since d2t/dx2(-5)=0, this point is an inflection point, not a turning point.
So there is no turning point for this function.
Now in this problem, it is even easier than the above to show that there is no turning point. A turning point by definition is when the derivative or velocity changes sign. Since in this case v=3(x+5)^2, for any value of x, v≥0, and thus never becomes negative, so it never changes from a positive to negative velocity because velocity in this instance is a squared function.
For this case we can propose a system of equations:
x: Let the variable that represents the number of small cookies
y: Let the variable that represents the number of large cookies
According to the statement we have:
![x + y = 130\\2x + 3y = 310](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%20130%5C%5C2x%20%2B%203y%20%3D%20310)
We multiply the first equation by -2:
![-2x-2y = -260](https://tex.z-dn.net/?f=-2x-2y%20%3D%20-260)
We have the following equivalent system:
![-2x-2y = -260\\2x + 3y = 310](https://tex.z-dn.net/?f=-2x-2y%20%3D%20-260%5C%5C2x%20%2B%203y%20%3D%20310)
We add the equations:
![-2x + 2x-2y + 3y = -260 + 310\\y = 50](https://tex.z-dn.net/?f=-2x%20%2B%202x-2y%20%2B%203y%20%3D%20-260%20%2B%20310%5C%5Cy%20%3D%2050)
We look for the value of the variable "x":
![x = 130-y\\x = 130-50\\x = 80](https://tex.z-dn.net/?f=x%20%3D%20130-y%5C%5Cx%20%3D%20130-50%5C%5Cx%20%3D%2080)
Answer:
They sold 80 small cookies and 50 large cookies
Answer: 130
Step-by-step explanation: multiply 4 and 28 first because of PEMDAS. After you get 112, add 18 and you get 130.