Answer:
A dozen = 12
Step-by-step explanation:
I think I’m right
2x-y =3
multiply by 4
8x - 4y = 12
3x +4y = 10 (unchanged equation)
------------------add
11x = 22
answer is A. the first.
first equation multiplied by 4 then sum to get 11x = 22
Answer:
5P5×20P15
Step-by-step explanation:
A school bus has 25 seats, with 5 rows of 5 seats.
15 students from the first grade and 5 students from the second grade travel in the bus.
second-grade students occupy the first row.
The 5 students of second grade are to be seated in 5 seats,this can be done in:
5P5 ways where P is the permutation
Now 15 students from first grade are to be arranged in remaining 20 seats
This can be done in:
20P15 ways
Hence, total ways student can be seated is:
5P5×20P15
The rate of change of a function can be modeled with the following expression:
![\frac{\Delta{k{x)}}{\Delta{x}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5CDelta%7Bk%7Bx%29%7D%7D%7B%5CDelta%7Bx%7D%7D%20)
Where Δx is the change in x value, and Δk(x) is the corresponding change in k(x). We're given the two extremes of x, so we can calculate the change in x to be
![\Delta{x}=-4-(-14)=10](https://tex.z-dn.net/?f=%5CDelta%7Bx%7D%3D-4-%28-14%29%3D10)
To find the change in k(x), we can calculate the values of k(x) at x = -14 and x = -4 and find the difference between them:
![k(-14)=5(-14)-19=-70-19=-89\\ k(-4)=5(-4)-19=-20-19=-39\\ \Delta{y}=k(-14)-k(-4)=-89-(-39)=-50](https://tex.z-dn.net/?f=k%28-14%29%3D5%28-14%29-19%3D-70-19%3D-89%5C%5C%20k%28-4%29%3D5%28-4%29-19%3D-20-19%3D-39%5C%5C%20%5CDelta%7By%7D%3Dk%28-14%29-k%28-4%29%3D-89-%28-39%29%3D-50)
So, the rate of change for the function from x = -14 to x = -4 is
Let the number of sodas sold be x and the number of hotdogs sold be y. We can assemble a system of equations from the information given and solve.
x+y=170 (We know that soda + dogs is 170)
x-50=y (We know that dogs is equal to 50 less than sodas)
We can use substitution to solve this system of equations.
x+y=170
Sub in the value of y from the second equation
x+(x-50)=170
2x-50=170
2x=220
x=110
We now know the number of sodas sold was 110. Lets now plug this value into the equation to solve for y.
x+y=170
110+y=170
y=60
So, there were 60 hotdogs sold and 110 sodas sold.