Answer:
Step-by-step explanation:
6) Convert mixed fraction to improper fraction and then plugin the values in the formula.
b) 10 cubic yard is less than 11 2/3 cubic yard. So, it will fit in the wood shed.
7) Right side rectangular prism:
l = 16 in
w = 5 in
h = 20 - 14 = 6 in
Volume 1 = 16 * 5 * 6 = 480 cubic inches
Left side rectangular prism:
l = 9 in
w = 5 in
h =14 in
Volume 2 = 9 * 5 * 14 = 630 cubic in
Volume of composite solid = 480 + 630 = 1110 cubic inches
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.
The first question is 50% because a total of 30 girls bought lunches out of 60 kids
the second question, the easiest way is to plug in the x and y coordinates
3(4) - 2(0) = 12
12-0=12
12=12
because 12 = 12 is true, the first pair is the answer
Answer:
6x - 11y = -13 is the answer.
Step-by-step explanation:
Let's plug in the points to see what sticks.
Start with (-4, -1)
1) 11x - 6y = 11(-4) - 6(-1) = -44 + 6 = -38 
13
2) 6x - 11y = 6(-4) - 11(-1) = -24 + 11 = -13
3) 6x - 7y = 6(-4) - 7(-1) = -24 + 7 = -17 17
4) 6x - 11y = 6(-4) - 11(-1) = -24 + 11 = -13 13
The only one that fits is #2. Let's try the other point to be sure.
2) 6x - 11y = 6(1.5) - 11(2) = 9 - 22 = -13
