Answer:
0.6
Step-by-step explanation:
1. Since Avery got 18 out of 30 questions right, we can write that as a fraction of
.
2.
3.
4.
5. ![\frac{60}{100} = 0.6](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B100%7D%20%3D%200.6)
To solve this problem, you will have to first find how many US Dollars are in 1 Euro. Upon looking this up, I see that currently 1 Euro is worth 1.23 US Dollars. Next, you must calculate how many liters are in a gallon. Looking this up shows that 1 liter is equal to 0.264 gallons.
Since 0.264 is not a whole gallon and we are asked to find the price per gallon, we should next calculate how many liters can fit in a gallon. To do this, we will divide 1 by 0.264, which gives us 3.78. This tells us that 3.78 liters will fit into a gallon.
The cost of 1L of gas in euros is 1.50 Euros. Since we need 3.78L to equal 1 gallon, we can calculate the cost of this to be:
3.78 * 1.50 = €5.67
Earlier we determined that 1 euro is worth 1.23 US Dollars. Our final step is to convert our €5.67 per gallon to dollars per gallon. To do this, we simply have to multiply 5.67 by 1.23. This gives us $6.97.
So, our answer is that the cost is $6.97 per gallon.
Hopefully this is correct and makes sense to you. This is how I would approach the question.
Answer: 80 feet
Step-by-step explanation:
We can write these as fractions and do cross multiplication with the numerator being the height of the object while the denominator being the length of the shadow:
5 * 128 = 8x
640 = 8x
80 = x
Thus, the height of the lighthouse is 80 feet tall.
Given:
The volume of a cube-shaped box is
cubic meter.
To find:
The perimeter of each of its faces.
Solution:
Let "a" be the side length of the cube shaped box. Then the volume of the box is:
![V=(side)^3](https://tex.z-dn.net/?f=V%3D%28side%29%5E3)
![V=a^3](https://tex.z-dn.net/?f=V%3Da%5E3)
It is given that the volume of a cube-shaped box is
cubic meter.
![a^3=\dfrac{1}{8}](https://tex.z-dn.net/?f=a%5E3%3D%5Cdfrac%7B1%7D%7B8%7D)
Taking cube root on both sides, we get
![a=\dfrac{1}{2}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B1%7D%7B2%7D)
Now, the perimeter of each face of a cube is:
![P=4a](https://tex.z-dn.net/?f=P%3D4a)
Where, a is the side length of the cube.
Putting
, we get
![P=4\times \dfrac{1}{2}](https://tex.z-dn.net/?f=P%3D4%5Ctimes%20%5Cdfrac%7B1%7D%7B2%7D)
![P=2](https://tex.z-dn.net/?f=P%3D2)
Therefore, the perimeter of each face of a cube-shaped box is 2 meters.
Answer:
Step-by-step explanation:
So Blakes sleep 8 hours per night during the school day
8 hours/night...................................100%
6.5 hours/night...................................?
6.5*100/8=81.25
the change in percentage is 100-81.25=18.75%
the percentage change is 18.75
if it is easier for you, another method is:
8-6.5=1.5 subtract the original amount to the new amount
1.5/8=0.1875 divide by the original amount
0.1875*100=18.75 find the percentage