If you add it one by one, 5050 maybe.
Definition
An irrational number is a number that cannot be expressed in as a fraction. It has decimal expression that does not terminate.
An example will be √2.
Reason:
(1) √2 cannot be expressed as a fraction form
(2) √2 has decimals that does not terminate
Answer:
The correct option is B. The length of OB' is 3 units.
Step-by-step explanation:
The rule of dilation is D₀,₄. It means dilation by scale factor 4 with center of dilation is origin.
![\text{Scale factor}=\frac{\text{Distance between center and any point of the image}}{\text{Distance between center and corresponding point of the Preimage}}](https://tex.z-dn.net/?f=%5Ctext%7BScale%20factor%7D%3D%5Cfrac%7B%5Ctext%7BDistance%20between%20center%20and%20any%20point%20of%20the%20image%7D%7D%7B%5Ctext%7BDistance%20between%20center%20and%20corresponding%20point%20of%20the%20Preimage%7D%7D)
![\text{Scale factor}=\frac{OB'}{OB}](https://tex.z-dn.net/?f=%5Ctext%7BScale%20factor%7D%3D%5Cfrac%7BOB%27%7D%7BOB%7D)
![4=\frac{OB'}{\frac{3}{4}}](https://tex.z-dn.net/?f=4%3D%5Cfrac%7BOB%27%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D)
![4\times \frac{3}{4}=OB'](https://tex.z-dn.net/?f=4%5Ctimes%20%5Cfrac%7B3%7D%7B4%7D%3DOB%27)
![3=OB'](https://tex.z-dn.net/?f=3%3DOB%27)
The length of OB' is 3 units. Therefore the correct option is option is B.
For this case we have to:
x: Let the variable representing the pounds of herbal tea
y: Let the variable representing the pounds of the mixture
According to the data we have:
![x + 8 = y](https://tex.z-dn.net/?f=x%20%2B%208%20%3D%20y)
On the other hand, to find the cost of each type of tea it is necessary to multiply the cost per pound, by the amount of pounds of each type of tea, that is:
![12x + 9 (8) = 10.50y\\12x + 72 = 10.50y](https://tex.z-dn.net/?f=12x%20%2B%209%20%288%29%20%3D%2010.50y%5C%5C12x%20%2B%2072%20%3D%2010.50y)
Thus, we have the following system of equations:
![x + 8 = y\\12x + 72 = 10.50y](https://tex.z-dn.net/?f=x%20%2B%208%20%3D%20y%5C%5C12x%20%2B%2072%20%3D%2010.50y)
Substituting the first equation in the second we have:
![12x + 72 = 10.50 (x + 8)](https://tex.z-dn.net/?f=12x%20%2B%2072%20%3D%2010.50%20%28x%20%2B%208%29)
ANswer:
The situation can be modeled by the following equation:
![12x + 72 = 10.50 (x + 8)](https://tex.z-dn.net/?f=12x%20%2B%2072%20%3D%2010.50%20%28x%20%2B%208%29)