Four times a number would equal 4n
Answer:
35 minutes
Step-by-step explanation:
The total amount of water is 200 +60 = 260 gallons. The two tanks will have equal amounts when each has half that, or 130 gallons.
If the volume in tank 2 is increasing at 2 gallons per minute, it will increase by 70 gallons from 60 gallons to 130 gallons in 70/2 = 35 minutes.
When dilation is about the origin, as it is here in every case, the image point coordinates are the original (pre-image) coordinates multiplied by the scale factor.
1. Multiply every coordinate value by 5:
... W' = (-5, 10), X' = (-15, -5), Y' = (25, -5), Z' = (15, 10)
2. Multiply every coordinate value by 1/3:
... A' = (-2, 5), B' = (0, 5/3), C' = (1, 10/3)
3. A' = (2, 8), B' = (6, 2), C' = (2, 2)
4. The image coordinates are 5 times the original coordinates, so ...
... the scale factor of the dilation is 5.
Answer:
The greatest number of people that can attend the meeting on that budget is 116
Step-by-step explanation:
The cost for the meeting is given by the following expression:
cost = 500 + 6*person
Since the budget is $1200 the cost must be at most equal to that, therefore:
1200 = 500 + 6*person
500 + 6*person = 1200
6*person = 1200 - 500
6*person = 700
person = 700/6 = 116.667
Since there can't be a 0.667 person, the greatest number of people that can attend the meeting on that budget is 116
