Answer:
41.472 m²
8.449m²
Step-by-step explanation:
c) scale facot is 7.2/5 = 1.44
the square scale factor is 1.44^2 = 2.0736
times 20 by this to get the area
2.0737x 20 = 41.472 m²
d) 2.8/6 = SF = 0.467
0.2178 x 38.8 = 8.449m²
Okay so to represent juice we are going to use X, and to represent water we are going to use Y.
We also know that the first two starting equations are:
6x + y = 135
4x + 2y = 110
We can re-arrange the first equation so that it equals y (for now), so it is going to end up looking like this:
y = -6x +135
Now you can take that equation and plug into either one of the starting two equations. I chose the second equation. We just substitute what y equals in for y in the equation, so we have:
4x + 2(135 - 6x) = 110
Now solve
4x + 270 -12x = 110
-8x + 270 = 110
Subtract 270 from both sides
-8x = -160
Now divide by -8 on both sides
x = 20
We can now confirm that juice costs $20
Now lets plug that into the equation where we solved for y, to get the actual value of y.
y = 135 - 6(20)
y = 135 - 120
y = 15
The price of water costs $15
From this we can conclude that the cost of juice is $20 and the price of water is $15
2/3 because you can divide the top and bottom by 8
Answer:
24 ft²
6 × 3 + (½ × 4 × 3)
Step-by-step explanation:
Split shape into a rectangle and triangle;
The rectangle is 6 by 3 ft, the area can be found by multiplying the 2 dimensions:
6 × 3 = 18
The triangle has base 4 ft, the total length of the shape (10 ft) take the 6 ft that is part of the rectangle;
The height is 3 ft;
The area us found by ½ × base × height:
½ × 4 × 3 = 6
Add this together to get the total area.
