Answer:
UwU your welcome!
Step-by-step explanation:
Convert the mixed fractions to a decimal. 2 1/4 is 2.25 1 2/4 is 1.5 2. Add them up. 3. 3.75 as a decimal or 3 3/4 as a mixed fraction or 15/4 as a improper fraction.
First, graph the three inequalities: x ≥ 5 , y ≤ 10 , 2x - y ≤ 8
Next, look for the 3 intersections (vertices) of the lines: (5, 2) , (5, 10) , (9, 10)
Finally, input the vertex coordinates into P = 4x + 5y and look for the biggest #.
(5, 2): 4(5) + 5(2) = 20 + 10 = 30
(5, 10): 4(5) + 5(10) = 20 + 50 = 70
(9, 10): 4(9) + 5(10) = 36 + 50 = 86
Answer: maximum profit = 86
Answer:
<h3><em>
(12, -6)</em></h3>
Step-by-step explanation:
The formula for calculating the midpoint of two coordinates is expressed as shown;
M(X, Y) = [(x1+x2)/2, (y1+y2)/2]
Given the midpoint of ST to be ((6, -2) and one endpoint T is (0,2), according to expression above;
X = (x1+x2)/2
Y = (y1+y2)/2
From the coordinates, X = 6, Y = -2, x1 = 0 and y1 = 2, to get x2 and y2;
X = (x1+x2)/2
6 = (0+x2)/2
cross multiply
12 = 0+x2
x2 = 12-0
x2 = 12
For 2;
Y = (y1+y2)/2
-2 = (2+y2)/2
cross multiply
-4 = 2+y2
y2 = -4-2
y2 = -6
<em>Hence the other endpoint S(x2, y2) is (12, -6)</em>
<em></em>
Answer:
m = -11/6
Step-by-step explanation:
5m -2(m + 2) = -(3m +15)
5m - 2m - 4 = -3m - 15
3m + 3m = -15 + 4
6m = -11
m = -11/6
Well, if Sameer's plum was 32 calories, and we know his total snack was 56 calories, all we have to do is:
56-32=24
24 / 4 = 6
Sameer ate one plum (32Kcal) and 6 strawberries (4Kcal each)
