Let be "x" the number of colored pencils in the box.
According to the information given in the exercise, there are 84 pencils in the box and 53 of them are regular pencils.
Knowing this information, you can set up the following equation:
![x+53=84](https://tex.z-dn.net/?f=x%2B53%3D84)
Finally, you have to solve for the variable "x" in order to find its value. In order to do this, you can apply the Subtraction property of equality by subtracting 53 from both sides of the equation:
![\begin{gathered} x+53-(53)=84-(53) \\ x=31 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%2B53-%2853%29%3D84-%2853%29%20%5C%5C%20x%3D31%20%5Cend%7Bgathered%7D)
The answer is: There are 31 colored pencils in the box.
Use a box. Split the terms into the boxes and then multiply across. Sort of like area multiplication, only with terms.
3 5x
4y 12y 20xy
3 9 15x
Answer:
3,375 chairs
Step-by-step explanation:
The weight of 25 folding chairs is 15 kg
Number of folding chairs : weight
= 25 : 15
How many chairs can be loaded on a truck having a capacity of
carrying 2025 kg load?
Let number of folding chairs = x
Number of folding chairs : weight = x : 2025
Equate both ratios
25 : 15 = x : 2025
25/15 = x/2025
Cross product
25 * 2025 = 15 * x
50,625 = 15x
x = 50,625/15
x = 3,375
Number of folding chairs = 3,375 chairs
Commutative means that you can mix up the numbers, but still have the right answer.
2 x 10 x 7 =
2 x 7 x 10 =
10 x 2 x 7 =
10 x 7 x 2 =
7 x 2 x 10 =
7 x 10 x 2
Hope this helps :)
On the added picture you can see that graphs of functions
![y=2x^2-2](https://tex.z-dn.net/?f=y%3D2x%5E2-2)
and
![y=-0.5x+4](https://tex.z-dn.net/?f=y%3D-0.5x%2B4)
have two points of intersection. The x-coordinates of these points are the solutions of the equation
![2x^2-2=-0.5x+4](https://tex.z-dn.net/?f=2x%5E2-2%3D-0.5x%2B4)
.
Hence, the approximate solutions are x=-1.9 and x=1.6.