Answer:
![7,500](https://tex.z-dn.net/?f=7%2C500)
Step-by-step explanation:
Let's solve this problem step-by-step. The library had 1,500 books in 2011. The ratio of books in 2011 and in 2012 is 1:2. Therefore, let the number of books in 2012 be
.
We have the following proportion:
![\frac{1}{1,500}=\frac{2}{x},\\x=2\cdot 1,500=3,000](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B1%2C500%7D%3D%5Cfrac%7B2%7D%7Bx%7D%2C%5C%5Cx%3D2%5Ccdot%201%2C500%3D3%2C000)
Therefore, there were 3,000 books in 2012. The ratio of books in 2012 and in 2013 is 2:5. Let the number of books in 2013 be
.
We have:
![\frac{2}{3,000}=\frac{5}{y},\\2y=5\cdot 3,000,\\2y=15,000\\y=\boxed{7,500}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%2C000%7D%3D%5Cfrac%7B5%7D%7By%7D%2C%5C%5C2y%3D5%5Ccdot%203%2C000%2C%5C%5C2y%3D15%2C000%5C%5Cy%3D%5Cboxed%7B7%2C500%7D)
Therefore, there were 7,500 books in 2013.
Answer:
Most of the time if it doesn't say our should round up it's best to leave the number as it is.However in some situations this isn't possible.For instance if there are to be a recurring decimal like 47.47485... it would be best to round to the nearest to decimal places so-47.47 unless told otherwise.
Answer:
1200 feet
Step-by-step explanation:
given:
5 steps------> equivalent to 12 feet
1 step -------> equiv. to 12/5 feet
500 steps ----> equiv to (12/5) x 500 = 1200 feet
Answer:
The approximate temperature of the preheated oven is 204 °C.
Step-by-step explanation:
Here, the given temperature in Fahrenheit = 400 °F
Let us assume the given temperature in Celsius = C
Now, the relation between the two measure of temperature is given as:
![F =( \frac{9}{5} )C + 32](https://tex.z-dn.net/?f=F%20%3D%28%20%5Cfrac%7B9%7D%7B5%7D%20%29C%20%2B%2032)
According to the question:
Or, C = 204.4°C
Hence, the approximate temperature of the preheated oven is 204 °C.
Answer:
x = 5°
Step-by-step explanation:
We know that in a triangle, the measure of an exterior angle is equal to the sum of its two remote interior angles, therefore:
7x + 4 + 61 = 20x
7x + 65 = 20x
13x = 65
x = 5°