Answer: Andre picked 252 lbs of apple
Step-by-step explanation:
Let x represent the number of pounds of apple that Jane picked.
Let y represent the number of pounds of apple that Andre picked.
Let z represent the number of pounds of apple that Maria picked.
Andre picks 3 times as many pounds as maria. This means that
y = 3z
z = y/3
Jane picks 2 times as many pounds as Andre. This means that
x = 2y
The total weight of the apples 840 ibs. This means that
x + y + z = 840 - - - - - - - - - -1
Substituting z = y/3 and x = 2y into equation 1, it becomes
2y + y + y/3 = 840
Cross multiplying by 3, it becomes
6y + 3y + y = 2520
10y = 2520
y = 2520/10 = 252
x = 2y = 2×252 = 504
z = y/3 = 252/3 = 84
Answer:
(2, 3 )
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
point of intersection = (2, 3 ) ← is the solution
Answer:
The answer is (8,-9)
Step-by-step explanation:
The best way to go about this type of problem is by visualizing the translations at hand. We know that X comes first, (X,Y), in an ordered pair. The X coordinate is in regards to where the point is on the X axis, or left/right movement, whilst the Y is for up and down. As the problem states that the point is moved four units down, we can simply subtract 4 from the y coordinate, as it is in regards to up/down motion. This brings the new point to (-2,-9). As for reflections, if it is over the X axis the y coordinate sign is flipped and if it is over the y, as in the problem, the x coordinate sign is flipped. This will bring the new set to (2,-9). Lastly, there is the translation 6 units up. As we have learned, this is an up/down translation, so it pertains to the y coordinate. The final operation is to ADD 6 to the y coordinate thus bringing us to the final answer: (8,-9).
Answer:
the world may never know
Step-by-step explanation:
Answer:
3.51 (round to the nearest hundreds)
Step-by-step explanation:
PART A
slope of the line passing through AC : (6-1)/(1-2) = 5/-1 = -5
equation of the line passing through B and perpendicular to AC:
y-3 = 1/5(x-3)
y-3 = 1/5x -3/5
y = 1/5 x - 3/5 + 3
y = 1/5 x + (-3+15)/5
y = 1/5 x + 12/5
PART B
line that passes through the points A and C
y-1 = -5(x-2)
y = -5x+10 + 1
y = -5x + 11
Interception of the lines
y = 1/5x + 12/5
y = -5x + 11
-5x + 11 = 1/5x + 12/5
-25x +55 = x + 12
26x = 43
x = 43/26
y = -5(43/26) + 11
y= -215/26 + 11
y = (-215+286)/26 = 71/26
D (1.65, 2.73)
PART C
AC = 
= 5,09902
BD = 
= 1,376735
PART D
AREA = (5,09902 * 1.376735)/2 = 3,509999
