Answer:
16 seconds (Approximately)
Step-by-step explanation:
Given:
The function that gives the distance of snowboarder from the bottom of hill with time 'x' is:
Final position of the snowboarder is 
Now, plugging in 100 for 'd' and solving for 'x', we get:
Adding -1100 both sides, we get:
Dividing both sides by -4, we get:
Taking square root and neglecting the negative root as time can't be negative. So,
Therefore, after 16 seconds, the snowboarder will be at a distance of 100 ft from bottom of hill.
Answer:
1) Part A)
Liters Mililiters
1 1,000
5 5,000
8 8,000
14 14,000
2) Part B)
One way to convert 4.2 liters to milliliters is to <u> multiply </u> the number of liters by the number of milliliters in 1 liter. This means there are <u> 4,200 </u>milliliters in 4.2 liters. The cafeteria has the greatest amount of <u> orange </u>juice, the second greatest amount of <u> grape </u> juice, and the least amount of <u> cranberry </u>juice.
Explanation:
<u>1) Data:</u>
- Grape juice: 8,000 mililiters
- Cranberry juice: 4.2 liter
- Orange juice: 12,000 mililiters
- There are 1,000 mililiers in 1 liter
<u>2) Part A:</u>
<u>Table:</u>
The table is garbled. This is what the tables could look like:
Liters Mililiters
1 1,000
5 5,000
8 8,000
14 14,000
You can see that the table shows a direct relationship between the number of mililiters and the number of liters:
- 1,000/1 = 1,000
- 5,000/5 = 1,000
- 8,000/8 = 1,000
- number of mililiters / liters = 1,000
<u>3) Part B)</u>
Fill in the blanks to explain how Landon can convert 4.2 liters of cranberry juice to mililiters so he can compare the amounts of the different juices:
i) One way to convert 4.2 liters to milliliters is to <u> multiply </u> the number of
liters by the number of milliliters in 1 liter.
- As demonstrated above there is a direct relationship between the number of mililiters and the number on liters, then you must multiply the number of liters by the proportionality constant to find the number of mililiters.
ii) This means there are <u> 4,200 </u>milliliters in 4.2 liters.
- That is the product 4.2 × 1,000 = 4,200.
iii) The cafeteria has the greatest amount of <u> orange </u>juice, the second greatest amount of <u> grape </u> juice, and the least amount of <u> cranberry </u>juice.
Rank the amounts:
↑ ↑ ↑
orange grape cranberry
Answer:
x = -5
Step-by-step explanation:
Simplifying
6x + -3(x + -8) = 9
Reorder the terms:
6x + -3(-8 + x) = 9
6x + (-8 * -3 + x * -3) = 9
6x + (24 + -3x) = 9
Reorder the terms:
24 + 6x + -3x = 9
Combine like terms: 6x + -3x = 3x
24 + 3x = 9
Solving
24 + 3x = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-24' to each side of the equation.
24 + -24 + 3x = 9 + -24
Combine like terms: 24 + -24 = 0
0 + 3x = 9 + -24
3x = 9 + -24
Combine like terms: 9 + -24 = -15
3x = -15
Divide each side by '3'.
x = -5
Hope this Helps
I hope this is correct
Inverse
Inverse - is a conditional statement that NEGATES both the hypothesis and the conclusion of the original conditional statement.
