Second question isn't well formatted
Answer:
Number of republicans = 207
Number of democrats = 245
Step-by-step explanation:
Let :
Number of republicans = x
Number of democrats = x + 38
Total number of representatives from the two parties = 452
Tge number of representatives from each party can be calculated thus ;
Number of democrats + number of republicans = total number of representatives
(x + 38) + x = 452
x + 38 + x = 452
2x = 452 - 38
2x = 414
x = 414 / 2
x = 207
Number of republicans = 207
Number of democrats = 207 + 38 = 245
Are these the choices? <span>Cost, Time, Pace, Materials?
I think the answer would be - it is a measure of the efficiency of the materials used in the car. Since this talks about how many gallons of gas a drive of 25 miles would consume. </span>
Answer:
Area = 33√3
Perimeter = 122
Step-by-step explanation:
This is a parallelogram and perimeter for a parallelogram is calculated by adding side length to base and that's multiplied by 2
perimeter (6 + 11) × 2 = 122
The area is calculated by multiplying height to the base
there's a 30° 60° 90° special triangle inside the parallelogram and the side length that sees 60° in this special triangle is 3√3 so this is our height and base is given as 11
Therefore the area of this parallelogram is
3√3 × 11 = 33√3
Answer:
The crop yield increased by 9 pounds per acre from year 1 to year 10.
Step-by-step explanation:
To solve this we are using the average rate of change formula:
, where:
is the second point in the function
is the first point in the function
is the function evaluated at the second point
is the function evaluated at the first point
We know that the first point is 1 year and the second point is 10 years, so
and
. Replacing values:
![Av=\frac{-(10)^2+20(10)+50-[-(1)^2+20(1)+50]}{10-1}](https://tex.z-dn.net/?f=Av%3D%5Cfrac%7B-%2810%29%5E2%2B20%2810%29%2B50-%5B-%281%29%5E2%2B20%281%29%2B50%5D%7D%7B10-1%7D)
![Av=\frac{-100+200+50-[-1+20+50]}{9}](https://tex.z-dn.net/?f=Av%3D%5Cfrac%7B-100%2B200%2B50-%5B-1%2B20%2B50%5D%7D%7B9%7D)
![Av=\frac{150-[69]}{9}](https://tex.z-dn.net/?f=Av%3D%5Cfrac%7B150-%5B69%5D%7D%7B9%7D)



Since
represents the number of pounds per acre and
the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.