Answer:
(-4-y) = -6(7 - x)
Step-by-step explanation:
Answer:
4^5
Step-by-step explanation:
8×4³+2×4⁴
4×2×4^3+2×4^4
4^4×2+2×4^4
4^4(2+2)
4^4×4
4^5
So answer is 4^5
The students rented 4 small cars and 8 large cars.
Step-by-step explanation:
Given,
Number of people in small car = 4
Number of people in large car = 7
Total people in both type of cars = 72
Let,
x represent the number of small cars rented.
y represent the number of large cars rented.
According to given statement;
4x+7y=72 Eqn 1
y = 2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1
![4x+7(2x)=72\\4x+14x=72\\18x=72](https://tex.z-dn.net/?f=4x%2B7%282x%29%3D72%5C%5C4x%2B14x%3D72%5C%5C18x%3D72)
Dividing both sides by 18
![\frac{18x}{18}=\frac{72}{18}\\x=4](https://tex.z-dn.net/?f=%5Cfrac%7B18x%7D%7B18%7D%3D%5Cfrac%7B72%7D%7B18%7D%5C%5Cx%3D4)
Putting x=4 in Eqn 2
![y=2(4)\\y=8](https://tex.z-dn.net/?f=y%3D2%284%29%5C%5Cy%3D8)
The students rented 4 small cars and 8 large cars.
Keywords: linear equation, substitution method
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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.
Since each min is 60 seconds you multiply 60 by the number of minutes which is 7 and you get 420:
60x7=420 Then you add 30 seconds equaling 450 seconds total
Then you divide 450 by 4 since she ran 4 laps.
So, Stephanie ran 112.5 seconds per lap