Answer:
(1, 2)
Step-by-step explanation:
A graphing calculator is a handy tool if all you want is a solution. It shows the solution as (x, y) = (1, 2).
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Equate the two expressions for y:
-3x +5 = 4x -2
7 = 7x . . . . . . add 2+3x
1 = x . . . . . . . divide by 7
y = -3(1) +5 = 2 . . . . . . use the first equation to find y from x
The solution is (x, y) = (1, 2).
Answer:
200/7
Step-by-step explanation:
(2 meters)/(7 centimeters) or (2m/7cm)
1 meter = 100 cm
(2m/7cm)*(100cm/1m) = 200/7 (or 28.57) scale factor.
The answer would be True because the sequence is constant
Answer:
Therefore 164 children and 89 adults swam at the public pool that day.
Step-by-step explanation:
Given that,
253 people used the public swimming pool.
The daily prices for children are $1.50 and for adults are $2.25.
Let the number of children be x.
Then number of adult is (253-x)
The total money collect on that day is ![=\$[(1.50\times x)+2.25(253-x)]](https://tex.z-dn.net/?f=%3D%5C%24%5B%281.50%5Ctimes%20x%29%2B2.25%28253-x%29%5D)
![=\$[1.50x+569.25-2.25x]](https://tex.z-dn.net/?f=%3D%5C%24%5B1.50x%2B569.25-2.25x%5D)
![=\$[569.25-0.75x]](https://tex.z-dn.net/?f=%3D%5C%24%5B569.25-0.75x%5D)
According to the problem,
![569.25-0.75x=446.25](https://tex.z-dn.net/?f=569.25-0.75x%3D446.25)
![\Rightarrow -0.75 x=446.25-569.25](https://tex.z-dn.net/?f=%5CRightarrow%20%20-0.75%20x%3D446.25-569.25)
![\Rightarrow -0.75 x=-123](https://tex.z-dn.net/?f=%5CRightarrow%20%20-0.75%20x%3D-123)
![\Rightarrow x=\frac{123}{0.75}](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D%5Cfrac%7B123%7D%7B0.75%7D)
![\Rightarrow x=164](https://tex.z-dn.net/?f=%5CRightarrow%20%20x%3D164)
Therefore 164 children and (253-164)=89 adults swam at the public pool that day.