Answer:
17. 10x+24 OR 108 18. 72 19. 8.4
Step-by-step explanation:
(10x+24)+72=180
10x+96=180
10x=84
x=8.4
10x+24
10(8.4)+24
84+24
108
Answer:
212 children, and 265 adults
Step-by-step explanation:
To find the number of children and adults, we can set up a systems of equations.
x= number of children
y= number of adults
Equation 1: Price
1.50x+2.25y=914.25
Equation 2: Total number of people
x+y=477
Now, let's solve the equation using substitution.
Rearrange the second equation to solve for one variable.
x+y=477
x=477-y
Now plug x equals into the first equation, and solve for y.
1.50x+2.25y=914.25
1.50(477-y)+2.25y=914.25
715.5-1.50y+2.25y=914.25
715.5+0.75y=914.25
0.75y=198.75
y=265
We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.
x+y=477
x+265=477
x=212
Answer:
A. 6 m by 6 m
Step-by-step explanation:
You can try the different choices to see which has the largest area. Of course, the area is the product of the dimensions:
6 m × 6 m = 36 m² . . . . largest area
10 m × 2 m = 20 m²
8 m × 4 m = 32 m²
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The largest area is that of a square, 6 m by 6 m. (choice A)
A graphing calculator can do a linear regression on these points very easily. The y-intercept is 107.
_____
If you want to do this by hand, you can use the 2-point form of the equation for a line, then evaluate for x=0.
.. y = (100 -102)/(35 -25)*(x -25) +102
.. y =-2/10*(0 -25) +102
.. y = 107
