75% = 0.75
750 people / 0.75 = 1,000 people
There were 1,000 total people attending the game
Answer:
{x,y} = {6/5,23/10}
Step-by-step explanation:
[1] 7x + 2y = 13
[2] 4x + 4y = 14 <---------- linear equations given
Graphic Representation of the Equations : PICTURE
2y + 7x = 13 4y + 4x = 14
Solve by Substitution :
// Solve equation [2] for the variable y
[2] 4y = -4x + 14
[2] y = -x + 7/2
// Plug this in for variable y in equation [1]
[1] 7x + 2•(-x +7/2) = 13
[1] 5x = 6
// Solve equation [1] for the variable x
[1] 5x = 6
[1] x = 6/5
// By now we know this much :
x = 6/5
y = -x+7/2
// Use the x value to solve for y
y = -(6/5)+7/2 = 23/10
// Plug this in for variable y in equation [1]
[1] 7x + 2•(-x +7/2) = 13
[1] 5x = 6
// Solve equation [1] for the variable x
[1] 5x = 6
[1] x = 6/5
// By now we know this much :
x = 6/5
y = -x+7/2
// Use the x value to solve for y
y = -(6/5)+7/2 = 23/10
Answer: Integer
Step-by-step explanation: The answer would be integer
Answer:
The Pythagorean identity states that

Using that we can rewrite the left denominator as:

Which can be factored as

The numerator we can expand as:

On the right hand side, let's multply numerator and denominator with (1 - sin t):
The total formula then becomes:

There you go... left and right are equal.
Answer:
4.8 minutes
Step-by-step explanation:
Using the given hint, working together, the amount of floor mopped in 1 minute is ...
1/8 + 1/12 = 3/24 +2/24 = 5/24 . . . . jobs/minute
The reciprocal of that is the rate in terms of minutes per job. Thus the entire job takes 24/5 = 4.8 minutes.