Yes. Changing the the word problem into a function, you get 30x=y.
30 = Fixed Length
x = width
y = area
No matter what width (x) you choose, the area (y) is going to be a multiple of 30 (the fixed length) because with two numbers being multiplied, if there is a fixed number that will always be the multiple and not the multiplier. For example, 10 multiplied by every number 1-10 is going to be a multiple of 10.
10x1=10, 10x2=20, 10x3=30, etc
So if Tom chooses any of these widths (x) 5, 10, or 15, y (the area) will be a multiple of 30.
30(5)=150
30(10)=300
30(15)=450
So as we double 5 to get 10, our outcome is doubled 150 to 300 and so forth. Hope this helps.
Answer:
point O, it is located on (-4.5, -7)
a) We have to calculate the height of the pad.
We know that the volume will be 4704 cubic feet.
We also know that the base of the pad is a square of side length 56 feet.
As the volume is the area of the base times the height, we can find the height by dividing the volume by the base area:
The height is 1.5 feet.
b) Now, we have a circular pad of which we know the height (1.5 feet) and the volume (4705 ft³). The area of the base will have to be the same as the are of the square: 3136 ft².
The area of this circular pad can be expressed as πD²/4, so we can calculate the diameter D as:
The diameter is approximately 63.21 feet.
Answer:
a) The pad will be 1.5 feet thick
b) The diameter will be 63.21 feet.
Answer:
5.65................................
Step-by-step explanation:
Answer:
44 years
Step-by-step explanation:
The sum of the ages of Michael and Leah is 71 years. 10 years ago, Michael's age was 2 times Leah's age. How old is Michael now?
Let Michael age = x , Leah = y
x+ y = 71 ....... ..(1)
10 year ago
Michael = x -10
Leah = y - 10
Michael = 2×leah
x - 10 = 2(y-10)
x - 10= 2y - 20
x - 2y = -20+10
x - 2y = -10 ...........(2)
x + y = 71 ......... (1)
Solve simultaneously using elimination method, subtract 1 from 2
-2y - y = -10-71
-3y = -81
Divide both sides by -3
y = -81/-3
y =27
x+y = 71
Put y =27
x+27= 71
x = 71 -27
x =44 years
Therefore Michael is 44years
I hope this was helpful, please mark as brainliest
