First things first, write the equations!
- Word problems can be intimidating because of all information given, so all you need to focus on, is the information about the variables you are solving, everything else, like the story line is irrelevant!
- Writing Equations from Word Problems:
pull the good stuff (information about the variables) so you can see the information needed, without having to mess your brain up with a bunch of irrelivance!
Equation 1:
3 donuts and 2 coffees is $3.94
Equation 2:
2 donuts and 6 coffees is $7.20
Now it is simply reading the equation...
Knowing these "terms" when writing Equations from a word problem is VERY IMPORTANT;
IS: =
and, more than, etc: +
less than, etc: -
Knowing the terms makes Writing the Equations THE EASIEST PART! Most of the time students get these problems wrong because of wrong equations!
So Equation 1 IS ( = ) ;)
3 Donut + 2 Coffee = 3.94
Equation 2:
2 donut + 6 coffee = 7.20
Now, to make things simple I personally find it easier to "let Donuts = d" and "let Coffee = c"
so...
3d + 2c = 3.94
2d + 6c = 7.20
in order to solve, we have to ELIMINATE one of the variables by making one of them equal 0.
I chose to eliminate c by multiplying the first equation by 3.
3 (3d + 2c = 3.94)
--> 9d + 6c = 3.94
and then the 2nd equation by -1
-1 (2d + 6c = 7.20)
---> -2d + -6c = -7.20
9d + 6c = 11.82
-2d + -6c = -7.20
--- Now we can add the 2 equations, doing so will cancel out c!
9d + 6c = 11.82
+
-2d + -6c = -7.20
= 7d + 0c = 4.62
= 7d = 4.62
now it is simple algebra to figure out d!
- you want to get d by itself so we need to get rid of the 7 and take it to the other side by division!
so-- 7d/7 = 4.62/7
= d = .66
Now that we know d, we just plug it into the original equations to find c!
- you can choose either one to plug it intl , but I chose equation 2:
2(.66) + 6c = 7.20
* MUST DO ORDER OF OPERATIONS- PEMDAS (parentheses, exponemts, multiplication, division, addition and then lastly subtraction)
so first we multiply 2 and .66
1.32 + 6c = 7.20
Now we want to get c by itself, so we subtract 1.32 by both sides-
6c = 5.88
now divide to get c
c = .98
ALWAYS CHECK
BOTH
EQUATIONS AFTER FINDING THE VARIABLES TO ENSURE YOU HAVE THE CORRECT ANSWER (:
I hope that helped (:
Answer:
When we do a translation, all the translated points must be translated in parallel (between them) lines. (this would mean that all our points suffer the same translation)
Here we can see that the lines BB´ and AA´ are parallel, but the line CC´ is not parallel to the other two. So the distance of the translation is constant, but the direction is not the same for all the points.
Then this is not a translation of all our triangle, because different points suffered different translation operations, this is what caused the triangles ABC and A´B´C´ to not be congruent.
Answer:
1 2/3b + 6 2/3
Step-by-step explanation:
Combine like terms:
Since you cannot do any more combination or simplification, you are done. Hope this helps!
Answer:
there is no picture. :)
Step-by-step explanation:
Answer:
The answer is D. -5
Step-by-step explanation:
Since AB is parallel to CD, their slopes are the same. Parallel actually means to have the same slope.
