Answer:
and 
Step-by-step explanation:
Given:
Equation 1:
Simplifying the above equation by dividing both sides by 100
Equation 2:
Simplifying the above equation by dividing both sides by 400.
Now the system of equation is:
(1a) 
(2a) 
Solving by elimination
Multiplying equation (2a) with 
(2b) 
Adding equations (1a) and (2b) in order to eliminate 
+
We get 
∴
Plugging in equation (2a).
Adding 
both sides.
∴
Answer:
10 hours
Step-by-step explanation:
45 pages per 1 hour and 30 minutes, or 60 min +30 min =90 min
90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages
90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300
? minutes = 90*300/45 = 600 minutes
to read 300-page book will take 600 minutes = 10 hours
Answer:
2204.4
Step-by-step explanation:
Okay so we want to always use order of operations: PEMDAS
Sop first we do what is in the parenthesis. 19*92 is 1748.
Now, going from left to right, we do multiplication and division. 76*32 is 2432. Then we divide that by 5 to get 486.4. And the last bit is 15*2 which is 30.
Your equation now is 486.4+1748-30.
The final answer is 2204.4
You will be using the equation y = mx + b
The only variables you need to find are "m" and "b"
For the equation of a line to be perpendicular to the given line, the slope will have to be the opposite of the given slope. Or you have to flip the sign and the number of the given slope to get your new slope.
For example:
m = -2
perpendicular slope = 1/2(positive)
m = 3/4
perpendicular slope = -4/3(negative)
The slope of the line is -1.5 or -3/2
Your new slope is 2/3
y = 2/3x + b
To find "b", you plug in the point (2,0) into the equation.
0 = 2/3(2) + b
0 = 4/3 + b
-4/3 = b
Your new equation is y = 2/3x - 4/3
Answer:
6 1/5
Step-by-step explanation:
