If you need part A, draw a person and label them 6 feet tall and a shadow coming off of him that is five feet long and draw a basketball hoop that and label it X feet tall and draw a shadow coming from it that is 8 feet long. To solve, you use proportions 6/5=X/8 solving this you get X=9.6 feet which is the height of the rim. Therefore, the rim does not meet regulation height, since the required height (10 feet) is greater than the actual height (9.6 feet).
Answer:
The greatest possible value of xy is 165.
Step-by-step explanation:
Answer:

Step-by-step explanation:
Eqn. 1 ----> 4y = x
Eqn. 2 ----> 5x-10y = -50
(Simplifying eqn.2 further)


(Substituting the value of x from eqn. 1)



Now, substituting the value of y in eqn. 1 ,

Answer: 40 pounds of cashews should be mixed with the peanuts to ensure no change in the revenue
Step-by-step explanation:
Let x represent the number of pounds of cashews that should be mixed with the peanuts to ensure no change in the revenue.
The nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound.
In order to sell 60 pounds of peanuts, the manager decided to mix the 60 pounds of peanuts with some cashews and sell the mixture for $2.50 per pound. It means that
4x + (1.5 × 60) = 2.5(60 + x)
4x + 90 = 150 + 2.5x
4x - 2.5x = 150 - 90
1.5x = 60
x = 60/1.5
x = 40
Answer:
The expression that can be used to calculate the rate per second at which the machine launches the balls is fraction 20 over 4.
Step-by-step explanation:
The x-axis label is Time in seconds, and the x-axis values are from 0 to 20 in increments of 4 for each grid line.
And the y-axis label is Number of Balls and the y-axis values from 0 to 100 in increments of 20 for each grid line.
If the ordered pairs (4,20) and (8,40) are on the graph, then the slope of the line will be represented by
Therefore, the expression that can be used to calculate the rate per second at which the machine launches the balls is fraction 20 over 4. (Answer)