1. We assume, that the number 40 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 40, so we can write it down as 100%=40.
4. We know, that x% equals 21 of the output value, so we can write it down as x%=21.
5. Now we have two simple equations:
1) 100%=40
2) x%=21
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=40/21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 21 is what percent of 40
100%/x%=40/21
(100/x)*x=(40/21)*x - we multiply both sides of the equation by x
100=1.90476190476*x - we divide both sides of the equation by (1.90476190476) to get x
100/1.90476190476=x
52.5=x
x=52.5
now we have:
21 is 52.5% of 40
Given:
Sides of a rectangle are 9.5x+14.3y cm and 11.7x+22.8y cm.
To find:
The perimeter of the cardboard in terms of x and y.
Solution:
We know that, perimeter of a rectangle is
Now,
![Perimeter=2[(9.5x+14.3y) +(11.7x+22.8y)]](https://tex.z-dn.net/?f=Perimeter%3D2%5B%289.5x%2B14.3y%29%20%2B%2811.7x%2B22.8y%29%5D)
On combining like terms, we get
![Perimeter=2[(9.5x+11.7x) +(14.3y+22.8y)]](https://tex.z-dn.net/?f=Perimeter%3D2%5B%289.5x%2B11.7x%29%20%2B%2814.3y%2B22.8y%29%5D)
![Perimeter=2[21.2x +37.1y]](https://tex.z-dn.net/?f=Perimeter%3D2%5B21.2x%20%2B37.1y%5D)
using distributive property, we get
Therefore, the perimeter of the cardboard in terms of x and y is 42.4x+74.2y cm.
The equations and the number of hotdogs and sodas sold are: x+ y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.
Two equations can be derived from this question:
2.25x + 1.50y = 225.75 equation 1
x + y = 126 equation 2
Where:
x = number of hotdogs sold
y = number of soda sold
In order to determine the value of y, multiply equation 2 by 2.25
2.25x + 2.25y = 283.50 equation 3
Subtract equation 1 from 3
57.75 = 0.75y
y = 77
Substitute for y in equation 2
x + 77 = 126
x = 49
To learn more about simultaneous equations, please check: brainly.com/question/23589883
Answer:
My best answer. Hope this helps...
Step-by-step explanation:
You can see 1 full square in the triangle.
There are also 3 half squares.
The top part of the triangle also equals to 1 half square.
On the bottom right side, you have two shapes that add up to a square.
4 half squares = 2 full squares.
2 + 1 + 1 = 4
The square also has 4 squares.
We are asked to determine a rigid single rigid transformation that maps ΔABC to ΔA'B'C'. Well, we know that rigid transformation preserves the angles and measurements of the sides in the triangle. It is the mapping of all angles and measurements in the same direction and properties. Hence, in this problem, we have the triangle properties below:
Δ ABC = Δ A'B'C
where the properties are:
AA' = BB' = CC'
AB is equal to A'B'
BC is equal to B'C'
CA is equal to C'A'
for the angles, we have it:
∠A = ∠A' , ∠B=∠B' , ∠C=∠C'
