Answer:
P=3
Step-by-step explanation:
To solve for p, we can simply substitute his answer in place of x, changing the equation to 4(-5+p)=12. Now we just have to solve it.
1. Apply the distributive property. We can do this by multiplying 4 by -5 and p. Our equation is now -20+4p=12
2. Add 20 on both sides. Since the 20 is negative, we would add it on both sides, canceling out the -20 and leaving us with the equation 4p=32.
3. Now divide 12 by 4. We want to get p alone by itself, so we divide both sides by 4, leaving us with the solution p=3.
Hope this helps! :D
Answer:
d. 15
Step-by-step explanation:
Putting the values in the shift 2 function
X1 + X2 ≥ 15
where x1= 13, and x2=2
13+12≥ 15
15≥ 15
At least 15 workers must be assigned to the shift 2.
The LP model questions require that the constraints are satisfied.
The constraint for the shift 2 is that the number of workers must be equal or greater than 15
This can be solved using other constraint functions e.g
Putting X4= 0 in
X1 + X4 ≥ 12
gives
X1 ≥ 12
Now Putting the value X1 ≥ 12 in shift 2 constraint
X1 + X2 ≥ 15
12+ 2≥ 15
14 ≥ 15
this does not satisfy the condition so this is wrong.
Now from
X2 + X3 ≥ 16
Putting X3= 14
X2 + 14 ≥ 16
gives
X2 ≥ 2
Putting these in the shift 2
X1 + X2 ≥ 15
13+2 ≥ 15
15 ≥ 15
Which gives the same result as above.
Answer:
36π - 72 sq in.
Step-by-step explanation:
π×12² = 144π
90/360 × 144π = 36π
Triangle = ½ × 12 × 12 = 72
Segment = 36π - 72
Answer:
15.75
Step-by-step explanation:
So we know 5% is 1/20 out of 100 (20x5=100) so then we need to set up the equation to find how much 5% of 15 is. Which is .75 cents. So we then add the 75 cents to the already $15 shipping fee to get an answer of 15 dollars and seventy five cents.
Answer:
37.5%
Step-by-step explanation:
72-45=27
27/72=x/100
2700/72=x
x=37.5
37.5%