1) Let x be the original speed that he was driving;
x mph ---> 1.5 hours
x+44 mph --> 2.5 hours
1.5x + 2.5(x+44)=206
1.5x+2.5x+110=206
4x=206-110
4x=96
x=24
Therefore, he was travelling at 24 mph in the fog.
2) Let x be the speed of 1 snail,
The other snail travels at the speed of x+1 cm/min
23x+23(x+1)=391 <-- solve for x
23x+23x+23=391
46x=368
x=368/46
x=8
Therefore one of the snail travels at 8 cm/min while the other goes at 9 cm/min
7) Let x be one crew
Then the other crew would be working at x+0.5
3.2x+3.2(x0.5)=8 <-- solve for x
3.2x+1.6x=8
4.8x=8
x=8/4.8
x=1.6666 or 1.7 miles
Therefore, one of the crew does 1.7 miles per day and the other crew does (0.5*1.7)=0.85 miles
Hope I helped :)
Answer:
The answer is below
Step-by-step explanation:
The question is not complete. But I would show you how to solve the problem.
Two events A and B are said to be independent if the occurrence of event A does not affect the occurrence of event B and vice versa. P(A and B) = P(A) * P(B).
Two events A and B are said to be mutually exclusive if event A and event B cannot occur at the same time. P(A and B) = 0.
Two events A and B are said to be complementary when event A occurs if and only if event B does not occur and vice versa.
P = 2(L + W)
L = 4/3W
P = 2(4/3W + W) <=== part 1 is D
when P = 28
28 = 2(4/3W + W)
28/2 = 4/3W + 3/3W
14 = 7/3W
14 / (7/3) = W
14 * 3/7 = W
42/7 = W
6 = W....width is 6 inches
L = 4/3W
L = 4/3(6)
L = 24/3
L = 8....length is 8 inches
A = L * W
A = 8 * 6
A = 48 in^2 <==== part 2
Options
(A) (9,0) (B) (-2,20) (C) (-5,2) (D) (0,-9)
Answer:
(B) (-2,20)
Step-by-step explanation:
Given the objective function, C=3x-4y
The vertex at which C is minimized will be the point (x,y) at which the expression gives the lowest value.
<u>Option A </u>
At (9,0), x=9, y=0
C=3(9)-4(0)=27-0
C=27
<u>Option B </u>
At (-2,20), x=-2, y=20
C=3(-2)-4(20)=-6-80
C=-86
<u>Option C</u>
At (-5,2), x=-5, y=2
C=3(-5)-4(2)=-15-8
C=-23
<u>Option D </u>
At (0,-9), x=0, y=-9
C=3(0)-4(-9)=0+36
C=36
The lowest value of C is -86. This occurs at the vertex (-2,20).
Therefore, the objective function C=3x-4y is minimized at (-2,20).
11 and 1/6 = 67/6
67 divided by 6 = 11.1666667 (repeating)
