Answer: Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x+2*x+1-(2*x-x+21)=0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
5x - 20 = 5 • (x - 4)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true:
2.1 Solve : 5 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4
One solution was found :
x = 4
Since the intersection is - by definition - common to both sets, we can work out the number of people that use only the fitness suite or the swimming pool.
We know that 57 people use the fitness suite, but 36 of those are already counted in the intersection. So, 57-36=21 people use only the fitness suite.
The same goes for the swimming pool: 49-36=13 people use only the swimming pool.
So, we have:
- 21 people using fitness suite only
- 13 people using swimmng pool only
- 36 people using both
This sums to 21+13+36=70 people. We deduce that 30 people don't use any of the features.
Answer:
48 and 32 6 hours clearing tables and 2 hours tutoring
Step-by-step explanation:
we can rewrite this as a fraction. we will use 1/10s because 80 can be divided by 8 which is in the problem. we then have to find out what two numbers add up to 8 but one is 3 times the other. 6 and 2 fit into this problem so we plug it into the equation and we write it as this 6x+4x=80 where x is 8. we get 48 and 32.
Answer:
y = 5x - 7
slope = 5
Step-by-step explanation:
35x - 7y = 49
Subtract 35x from both sides.
-7y = -35x + 49
Divide both sides by -7.
y = 5x - 7
The equation is now in the slope-intercept form, y = mx + b, where m is the slope.
slope = m = 5
1/5 since there’s 5 possibilities and one green
