Answer:
Part 1: 30.35 runners
Part 2: 2024
Step-by-step explanation:
We will need to find an equation that best fits this data
- The equation of best fit for this data is y = 2.16x - 4291.81
Now in order to figure our part 1, we will need to plug in 2001 for our x value to solve for y and we get:
- y = 2.16(2001) - 4291.81 which then simplifies to y = 30.35
Then to figure out part 2, we need to plug in 80 (NOT 80,000 because the y-values are in thousands, meaning we only need to use the number 80) for our y-value and solve for x and we get:
- 80 = 2.16x - 4291.81
- Adding 4291.81 to both sides we get: 4371.81 = 2.16x
- Then dividing both side by 2.16 we get 2023.98 = x ≈2024
9514 1404 393
Answer:
b 1/4 (n-64)
Step-by-step explanation:
Multiplying the expression by 1 does not change its value:
= (1/4)(4) × (1/4n -16)
= (1/4) × (4(1/4n -16)) . . . . . associative property
= (1/4) × ((4/4)n -4·16) . . . . distributive property
= (1/4)(n -64) . . . . matches choice B
Answer:
![176.25inches^{2}](https://tex.z-dn.net/?f=176.25inches%5E%7B2%7D)
Step-by-step explanation:
The formula for the area of the triangle is : ![\frac{base*height}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bbase%2Aheight%7D%7B2%7D)
To work this out you would first need to break the shape down into 4 smaller triangles.
Then you would need to work out the area of the triangles. You can do this by multiplying the base by the height and dividing it by 2. We will first work out the area of the first triangle at the top. To work out the area you would multiply the base of 7.5 by the height of 7.5, this gives you 56.25. Although the formula says you should divide the answer by 2 however as there are two identical triangles this action does not need to be done.
The next step is to work out thew area of the bottom triangles. To do this you would multiply the base of 7.5 by the height of 16, this gives you 120.
Now that we have found the area of both sides of the kite we can now add the values of 56.25 and 120 to work out the full area of the kite, this gives you 176.25 square inches.
1) Break the kite into smaller triangles.
2) Work out the area of the triangles at the top.
![7.5*7.5=56.25](https://tex.z-dn.net/?f=7.5%2A7.5%3D56.25)
3)Work out the area of the triangles at the bottom.
![7.5*16=120](https://tex.z-dn.net/?f=7.5%2A16%3D120)
4) Add the area of both sides.
![56.25+120=176.25inches^{2}](https://tex.z-dn.net/?f=56.25%2B120%3D176.25inches%5E%7B2%7D)
Answer:
A: Every time it goes up 2 bushels, it goes up 16 dollars.
B: 4 dollars. 16 - 12 = 4
Step-by-step explanation:
Answer:
4/5 or 80%
Step-by-step explanation:
4 out of 5 marbles are blue and 4/5 = .8