The answer to this is about c
<h2> S.O.L.V.E</h2>
- Study the problem
- Organize your facts
- Line up the problem
- Validate
- Explain
<h2 />
<h2>
<em>step</em><em> </em><em>1</em><em> </em><em>:</em><em>study</em><em> </em><em>the</em><em> </em><em>problem</em><em> </em></h2>
<em>write</em><em> </em><em>down</em><em> </em><em>your</em><em> </em><em>fact</em><em> </em><em>or</em><em> </em><em>what</em><em> </em><em>you</em><em> </em><em>know</em><em> </em><em>about</em><em> </em><em>the</em><em> </em><em>problem</em><em>. </em><em>also</em><em> </em><em>crossout</em><em> </em><em>unnecessary</em><em> </em><em>parts</em><em> </em><em>of</em><em> </em><em>the problem</em><em> </em><em>and</em><em> </em><em>highlight</em><em> </em><em>important</em><em> </em><em>information</em><em>.</em>
example: X = hours
<h2> </h2><h2>Step 2: organize your facts</h2>
organize your facts means put in order ,write what it means etc.
example: the problem say rebbeca has 3 3 times as much candy than Sara. what does the problem mean ?
<h2>Step 3 : line up your strategy. </h2><h3> what are your plans for solving this problem ? what operation will u do ? how much step is in this problem ? does this make sense ? in line up your strategy u have to think about why I'm doing this? how I will do this etc.</h3>
<h2>Step 4 : validate </h2>
<h3>"SOLVE THE PROBLEM"!</h3>
Answer:
m = 19/14 so the third point is (8, 19/7).
Step-by-step explanation:
If they are co-linear then the the slope will be equal.
The slopes of the lines are:
(difference in y coordinates) / (difference in corresponding x coordinates)
Slope between the first 2 points = (-3-1) / (-2-5) -4 / -7
= 4/7.
So if the 3 points are co-linear:
4/7 = (2m - -3) / (8 - -2)
4/7 = (2m + 3 / 10
7(2m + 3) = 40
14m + 21 = 40
14m = 19.
m = 19/14.
2x - 3y - 9z = -32
x + 3z = 8
-3x + y - 4z = -8
Add all the equations together.
-3y - 10z = -32
By looking at the first equation, 2x - 3y - 9z = -3y - 10z.
So 2x = -z.
By looking at the second equation, x + 3z = (-0.5z) + 3z = 8.
So 2.5z = 8, and z = 3.2.
This means that x = -1.6.
Let's substitute into our original equations!
-3.2 - 3y - 28.8 = -32
4.8 + y - 12.8 = -8
Therefore, y = 0!
Since these answers do not contradict each other, they are dependent.
The answers are x = -1.6, y = 0, z = 3.2.
I'll do this step-by-step. Note, ratios are basically division signs.
The ratio of cars to motorcycles in a parking lot is 10:3, which means there are 10 cars for every 3 motorcycles.
The ratio of motorcycles to vans is 2:3, there are 2 motorcycles for every 3 vans.
There are 30 vans, so there are 20 motorcycles, since 20 motorcycles:30 vans is equal to 2 motorcycles: 3 vans in fractions. (20 / 30 = 2 / 3)
So, the ratio of cars represented by x to the number of motorcycles, 20 can be written as x / 20 = 10 / 3. 10 / 3 is 3.333, meaning 3.333 cars per 1 motorcycle, so multiply 20 by 3.333 to get x, which is 66. There are 66 cars and 30 vans, so there are 33 more cars than vans in the parking lot. 66/20 = 10/3, both have a ratio of 3.33 when divided.
If you don't want the explanation, there are 33 more cars than vans in the parking lot.
