This is simply a question about ratios. This ratio means that for every 1 cm on the map, there are 12 km in actuality. You can set this problem up in fractions:
1 cm 12 cm
-------- = ----------
12 km x
To solve for x, we cross-multiply, for the moment ignoring units. Remember, your answer will be in km.
1*x=12*12
x=144
If x=144, then for 12 cm, there are 144 km.
Step-by-step explanation:
substitute for y
x+3+4 = -6x
x+ 7 = -6x
7 = -7x
-1 = x
y = -1+3
y = 2
Answer:
a
Step-by-step explanation:
The equation of a proportional relationship is
y = kx ← k is the constant of proportionality
Divide both sides by x
= k
To find k use any ordered pair from the table
Using (2, 
) , then
k = 
= 2 × 
= 
Answer:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
Step-by-step explanation:
3 yrs ago:
Alice - x
Jane - 3x
Fast forward 2 years... 1 year ago:
Sum of their ages = 62
Equation to solve: x + 3x = 62
4x = 62
----- -----
4 4
x = 15.5
From this, we can deterime that Alice is 15 1/2 years old.
Then, plug in 15.5 for x in 3x to find Jane's age.
15.5 × 3 = 46.5
From this, we can determine that Jane is 46 1/2 years old.
I hope this helps you to understand this problem better.
