C both of these is correct
To plot these points on the number line, you should label the long lines on the number line as such starting from the left (-5-already there, -4,-3,-2,-1,0,1,2,3,4,5-already there).
Now take each number and convert the improper fraction into a mixed number. 9/2 = 4 1/2 and -7/2 = -3 1/2.
4 1/2 would plotted on the line exactly in between the 4 and 5.
-3 1/2 would be plotted on the line exactly halfway between -3 and -4.
You will draw a dot to show each of these positions on a number line.
We are trying to represent the change in position of a bird flying down 7 ft to the ground.
Often, for the y axis- up is positive and down is negative.
Change in position is displacement- how far it was from the starting point
( different from distance which is how far is traveled
ex. doubling back would have distance they traveled some distance while the displacement is 0 because they are back to where they started).
The bird is going down 7 ft from where it originally was, which can be represented by
Bird's displacement = -7 ft
Answer:
L = 25.959 inches
Step-by-step explanation:
Volume of first cube = 375 inch³
Volume of second cube = 648 inch³
Volume of third cube = 1029 inch³
We need to find the length of the stack of the cube shaped block.
We know that,
The volume of a cube = a³ (a is side of a cube)
![a_1=\sqrt[3]{375} \\\\=7.211\ \text{inches}](https://tex.z-dn.net/?f=a_1%3D%5Csqrt%5B3%5D%7B375%7D%20%5C%5C%5C%5C%3D7.211%5C%20%5Ctext%7Binches%7D)
![a_2=\sqrt[3]{648 } \\\\=8.653\ \text{inches}](https://tex.z-dn.net/?f=a_2%3D%5Csqrt%5B3%5D%7B648%20%7D%20%5C%5C%5C%5C%3D8.653%5C%20%5Ctext%7Binches%7D)
![a_3=\sqrt[3]{1029} \\\\=10.095\ \text{inches}](https://tex.z-dn.net/?f=a_3%3D%5Csqrt%5B3%5D%7B1029%7D%20%20%5C%5C%5C%5C%3D10.095%5C%20%5Ctext%7Binches%7D)
Hence, the total length of the stack is :
L = 7.211 + 8.653 + 10.095
= 25.959 inches
Hence, this is the required solution.
1 gallon = 4 quarts
2570 x 4 = 10,280 quarts of gas
10280/7 = 1468.571 quarts per day
rounded to nearest hundredth is 1468.57 quarts
