The percent increase is 125 %
<em><u>Solution:</u></em>
Given that the past the price of popcorn at a movie theatre increased from $2.00 to $4.50
<em><u>To find: percent increase</u></em>
The percent increase between two values is the difference between a final value and an initial value, expressed as a percentage of the initial value.
<em><u>The percent increase is given as:
</u></em>
![\text { percent increase }=\frac{\text { final value - initial value}}{\text { initial value }} \times 100](https://tex.z-dn.net/?f=%5Ctext%20%7B%20percent%20increase%20%7D%3D%5Cfrac%7B%5Ctext%20%7B%20final%20value%20-%20initial%20value%7D%7D%7B%5Ctext%20%7B%20initial%20value%20%7D%7D%20%5Ctimes%20100)
Here initial value = 2 and final value = 4.50
<em><u>Substituting the values in above formula, we get</u></em>
![\text{ Percent increase } = \frac{4.50-2}{2} \times 100\\\\\text{ Percent increase } =\frac{2.5}{2} \times 100 = 125](https://tex.z-dn.net/?f=%5Ctext%7B%20Percent%20increase%20%7D%20%3D%20%5Cfrac%7B4.50-2%7D%7B2%7D%20%5Ctimes%20100%5C%5C%5C%5C%5Ctext%7B%20Percent%20increase%20%7D%20%3D%5Cfrac%7B2.5%7D%7B2%7D%20%5Ctimes%20100%20%3D%20125)
Thus percent increase is 125 %
Answer:
2
Step-by-step explanation:
If two shapes are similar, this means the ratio of similar sides to each other are the same.
So, in the green shape, the long side length is 5 mm. In the purple shape, the long side length is 10 mm in length. The ratio is therefore 5 to 10, which can be simplified to 1 to 2 (which is basically saying that the side lengths of the purple shape are double the length of the sides of the green shape).
Using the same 1 to 2 ratio, you know that the short side length on the green shape is 1. The short side length on the purple shape (j) must therefore be double, which is 2.
Answer:
a)66 degrees
b) 66 degrees
Step-by-step explanation:
a) AC _|_ BE so <ABD=90-24=66 degrees
b) BE diameter so<BDE=90 degrees
<DEB=90-24=66 degrees
While simple math problems, such as 1 + 1, can be solved in a single operation, some math problems include several operations. Each of these problems can be written in a variety of ways. For instance, 5 + 3(8+4) might be written as 3(4+8) + 5. The order of operations allows math problems with a variety of operations to be calculated correctly, no matter what order the information is given in. If the order of operations was ignored, the answer to a math problem would be based solely on whatever method was used to calculate it, such as left to right. This would mean that two people might arrive at very different answers to the same math problem.
Although I believe the current notations for remembering the order of operations are sufficient, I suppose one could come up with any number of phrases that might prove more memorable to them. For instance, a dog lover might prefer “Pet Every Mangy Dog And Smile." The point of such phrases is to help one remember, so whatever is most memorable is best for that person.
I will use the problem mentioned earlier as an example.
5 + 3(8 + 4).
5 + 3(12) First, I would calculated the portion in parenthesis.
5 + 36 Since no exponents exist within this problem, I would complete the multiplication next. If the problem had division, it would have been done at this step.
41 Now I do the addition and come up with the final answer. If the problem had subtraction, it would have been done at this step.
Hope this helps.