We have been given that a tree that measured
feet tall was planted. A hundred years later, the tree is now
feet tall. We are asked to find the number of times times is tree now taller than it was when the school first opened.
To solve our given problem, we will divide present length of tree by length of tree when it was planted as:
![25\frac{1}{2}\div 3\frac{3}{4}](https://tex.z-dn.net/?f=25%5Cfrac%7B1%7D%7B2%7D%5Cdiv%203%5Cfrac%7B3%7D%7B4%7D)
First of all we will convert mixed fractions into improper fractions.
![25\frac{1}{2}\Rightarrow \frac{25\times 2+1}{2}=\frac{50+1}{2}=\frac{51}{2}](https://tex.z-dn.net/?f=25%5Cfrac%7B1%7D%7B2%7D%5CRightarrow%20%5Cfrac%7B25%5Ctimes%202%2B1%7D%7B2%7D%3D%5Cfrac%7B50%2B1%7D%7B2%7D%3D%5Cfrac%7B51%7D%7B2%7D)
![3\frac{3}{4}\Rightarrow \frac{3\times 4+3}{4}=\frac{12+3}{4}=\frac{15}{4}](https://tex.z-dn.net/?f=3%5Cfrac%7B3%7D%7B4%7D%5CRightarrow%20%5Cfrac%7B3%5Ctimes%204%2B3%7D%7B4%7D%3D%5Cfrac%7B12%2B3%7D%7B4%7D%3D%5Cfrac%7B15%7D%7B4%7D)
![\frac{51}{2}\div \frac{15}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B51%7D%7B2%7D%5Cdiv%20%5Cfrac%7B15%7D%7B4%7D)
Now we will convert our division problem into multiplication problem by flipping the 2nd fraction as:
![\frac{51}{2}\times \frac{4}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B51%7D%7B2%7D%5Ctimes%20%5Cfrac%7B4%7D%7B15%7D)
Cancel out common factors:
![\frac{17}{1}\times \frac{2}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B1%7D%5Ctimes%20%5Cfrac%7B2%7D%7B5%7D)
![\frac{17\times 2}{1\times 5}](https://tex.z-dn.net/?f=%5Cfrac%7B17%5Ctimes%202%7D%7B1%5Ctimes%205%7D)
![\frac{34}{5}=6\frac{4}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B34%7D%7B5%7D%3D6%5Cfrac%7B4%7D%7B5%7D)
Therefore, the tree is
is taller now than it was when the school first opened and option A is the correct choice.
Having a look at a protractor, it shows 90. That is 1/2 pi RAD.
Answer:
2nd option
y > 6 and y < 2
Step-by-step explanation:
as the value of y can not be greater than 6 and less than 2 at the same time, the 2 inequalities have no common solutions
theefore no solution
Answer: x = 7y.
Step-by-step explanation: There is direct variation between the number of toddlers and the number of teachers. We know this because when one increases, the other would as well. We can write the equation of direct variation as x = 7y.
Answer:
y = 2/3x - 2
Step-by-step explanation: