Answer:
45 km
Step-by-step explanation:
Let's review the scale factor of this problem.
1 cm = 10 km
This means that for every 1 cm of distance on the map, 10 km is represented in the real world. Because of this, we know that dividing the actual distance by 10 will give us the distance on the map.
Ex. 40 km in real world = 4 cm on map
So, we will use d to represent the actual distance.
d=distance in real world
Then, we will divide d by 10 and set it equal to 4.5, because that's the distance on the map.
d/10 = 4.5
Now to solve this equation, we just have to multiply both sides by 10.
d=45
This is your answer.
<span>72100 multiplied by 1.02 is 73542
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The solution (x,y) needs to work in both equations. With multiple choice you can do guess and test method. Otherwise you need to combine the two equations into one by substitution or elimination methods.
21. substitution works well here since one equation is y= x+3. you can easily substitute the (x+3) for y in the other equation.
2x + (x+3) = -6
3x + 3 = -6
3x = -9
x = -3
use this in either equation to find y.
y = (-3)+3
solution: (-3,0)
22. these both equal y so they equal each other.
4x - 1 = 3x +6
4x - 3x = 6 + 1
x = 7
use this in either equation to find y
y = 4(7) - 1
y = 28 - 1
y = 27
solution: (7,27)
23. one equation is y = 2x - 3. So substitute (2x -3) for y in the other equation.
4x = 2(2x - 3) + 6
4x = 4x - 6 + 6
4x = 4x
x = x
any solution will work, infinitely many.
24. infinitely many solutions means the two equations are the same equation. Like the previous one they didn't look the same but if you put them both in terms of y...
y= 2x-3
4x = 2y + 6
4x - 6 = 2y
(4x - 6)/2 = y
2x - 3 = y
same equation.
from the image, I can't see all options but A & C do not look like the same equations. It's got to be either B or D.
To simplify most teachers prefer to round to tenth or hundreth
best answers: 0.9, 0.87
Answer:
I'll leave my comment here to give your post an up
