Answer:
x = number of bicycles = 35
y = number of cars = 55
Step-by-step explanation:
Let
x = number of bicycles
y = number of cars
x + y = 80 (1)
2x + 4y = 270 (2)
From (1)
x = 80 - y
Substitute x = 80 - y into (2)
2x + 4y = 270 (2)
2(80 - y) + 4y = 270
160 - 2y + 4y = 270
- 2y + 4y = 270 - 160
2y = 110
y = 110/2
y = 55
Substitute y = 55 into (1)
x + y = 80 (1)
x + 55 = 80
x = 80 - 55
x = 35
x = number of bicycles = 35
y = number of cars = 55
Answer:
0.75 Miles
Step-by-step explanation:
To find the answer we have to find the difference in the distance the train and car travelled
65/60 is 1.083333 which is miles per minute then multiplied by 3 is 3.25 mile gone in 3 minutes
For the train it is 50/60 which is 0.833333 and the times 3 is 2.5 miles in three minutes
3.25 miles minus 2.5 miles is 0.75 miles so that is how long the train is
Value of angle Y is 180-51
Answer:
Yes
Step-by-step explanation:
We can use the Pythagorean Theorem to check if this triangle is a right triangle:
Note that 
and 
are the legs of the triangle and 
is the hypotenuse:
Substitute the lengths of the sides into the equation:
Therefore this triangle is a right triangle.
Answer:
6x^2+17x+9
Step-by-step explanation:
you have to subtract the area of the white rectangle from the area of the entire rectangle
to find the area of the inner rectangle do (2x-3)*(x+1)=2x^2-3x+2x-3=2x^2-x-3
to find the area of the entire rectangle do (4x+6)*(2x+1)=8x^2+12x+4x+6=8x^2+16x+6
(8x^2+16x+6)-(2x^2-x-3)=8x^2+16x+6-2x^2+x+3=6x^2+17x+9
