we know that
1 gal.= 3.8L
we can also write as
3.8L=1 gal
Firstly, we will find for 1L
so, we can divide both sides by 3.8
![\frac{3.8}{3.8} L=\frac{1}{3.8}gal](https://tex.z-dn.net/?f=%5Cfrac%7B3.8%7D%7B3.8%7D%20L%3D%5Cfrac%7B1%7D%7B3.8%7Dgal)
![1 L=\frac{1}{3.8}gal](https://tex.z-dn.net/?f=1%20L%3D%5Cfrac%7B1%7D%7B3.8%7Dgal)
now, we will multiply both sides by 22
![22*1 L=22*\frac{1}{3.8}gal](https://tex.z-dn.net/?f=22%2A1%20L%3D22%2A%5Cfrac%7B1%7D%7B3.8%7Dgal)
![22L=5.78947 gal](https://tex.z-dn.net/?f=22L%3D5.78947%20gal)
![22L=5.8 gal](https://tex.z-dn.net/?f=22L%3D5.8%20gal)
so, option-b.............Answer
We have a question on motion with the elements of distance, time taken and speed.
This question in particular is asking us for distance per unit time (in this case, hours).
We are required to find out how much distnace is covered in on hour and our approach will be as follows:
![\text{Speed= }\frac{\text{Distance}}{\text{time}}=\frac{180\text{miles}}{4\text{hours}}=\frac{45\text{ miles}}{1\text{ hour}}](https://tex.z-dn.net/?f=%5Ctext%7BSpeed%3D%20%7D%5Cfrac%7B%5Ctext%7BDistance%7D%7D%7B%5Ctext%7Btime%7D%7D%3D%5Cfrac%7B180%5Ctext%7Bmiles%7D%7D%7B4%5Ctext%7Bhours%7D%7D%3D%5Cfrac%7B45%5Ctext%7B%20miles%7D%7D%7B1%5Ctext%7B%20hour%7D%7D)
This right here just tells us that 4 hours, Madeline covered 180 miles and since her rate was constant (equal distances in equal times), then she also covered 45 miles in an hour.
Now we plot our number line.
6n - 3(2n-5)
mutiply the bracket by -3
(-3)(2n)= -6n
(-3)(-5)= 15
6n-6n+15
0+15
answer:
15
If B is a complement of A this means that the sum of the measures of A and B is 90 degrees.
mA + mB = 90
mB =90 - mA
mB = 90 - 40 = 50
Thus, the measure of angle B is 50 degrees.
If C is a supplement of B then, the sum of the measures of B and C is 180 degrees.
mC + mB = 180
mC = 180 - mB
mC = 180 - 50 = 130
Therefore, the measure of angle C is 130 degrees.
Answer : She will hike about 18 kilometers in 6 hours .
Explanation :
Since we have given that
on every 4 hours , she hikes about 12 kilometers
![\text{on every 1 hour, she hikes about }\frac{12}{4}\text{ kilometers}](https://tex.z-dn.net/?f=%5Ctext%7Bon%20every%201%20hour%2C%20she%20hikes%20about%20%7D%5Cfrac%7B12%7D%7B4%7D%5Ctext%7B%20kilometers%7D)
![i.e. 3\text{ kilometers}](https://tex.z-dn.net/?f=i.e.%203%5Ctext%7B%20kilometers%7D)
![\text{So , every 6 hours, she hikes about =}6\times 3\text{kilometers}=18\texr{ kilometers](https://tex.z-dn.net/?f=%5Ctext%7BSo%20%2C%20every%206%20hours%2C%20she%20hikes%20about%20%3D%7D6%5Ctimes%203%5Ctext%7Bkilometers%7D%3D18%5Ctexr%7B%20kilometers)
Hence, she will hike about 18 kilometers in 6 hours .