11 bottles are needed to fill a 16 liter jug
<em><u>Solution:</u></em>
Given that, there is a 16 liter jug
There are
liters of bottle
<em><u>Let us first convert the mixed fraction to improper fraction</u></em>
Multiply the whole number part by the fraction's denominator.
Add that to the numerator.
Then write the result on top of the denominator.
![\rightarrow 1\frac{1}{2} = \frac{2 \times 1 + 1}{2} = \frac{3}{2} = 1.5](https://tex.z-dn.net/?f=%5Crightarrow%201%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7B2%20%5Ctimes%201%20%2B%201%7D%7B2%7D%20%3D%20%5Cfrac%7B3%7D%7B2%7D%20%3D%201.5)
Thus the bottle is of 1.5 liter
We have to find the number of 1.5 liter bottles needed to fill 16 liter jug
Divide 16 by 1.5 to get result
![Number\ Of\ Bottles = \frac{16}{1.5} = 10.67 \approx11](https://tex.z-dn.net/?f=Number%5C%20Of%5C%20Bottles%20%3D%20%5Cfrac%7B16%7D%7B1.5%7D%20%3D%2010.67%20%5Capprox11)
Thus 11 bottles are needed to fill a 16 liter jug
If Dave has 15 dollars and must spend 8 dollars of it on a book, then he will have 7 dollars left. If he then buys two of the same cards for his friends, the most he will be able to spend is half of 7 dollars for each of them, which will be 3 dollars and 50 cents.
Answer:
t= <u>r-21</u>
7
Step-by-step explanation:
r = 7(t+3)
expanding the bracket
r = 7t + 21
bringing t to the left hand side
7t = r - 21
divide both sides by seven
t= <u>r-21</u>
7
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
X< -10/3
Interval Notation:
(-∞, - 10/3)
Hope this is right :)