Set x equal to the amount of money Kim gets, and y for Molly's money.
x = 2/5y, since the ratio is 2:5.
y = 105 + x, since Molly has 105 more pounds than Kim.
Substitute x into this equation, so that y = 105 + 2/5y. Subtract 2/5y from both sides to get 3/5y = 105. Divide each side by 0.6 (equivalent to 3/5) and you get y = 175, which is how much Molly has. Kim gets 2/5 of Molly's share (or 105 fewer pounds), so she has 70.
70 + 175 (Kim and Molly's shares) is equal to 245. Therefore, Laura receives the remaining 140 pounds.
140/385 = a/100
Cross multiply so that 385a is 14000. Divide by 385 to get 36.4 (rounded).
Thus, Laura receives about 36.4% of the total money. Hope this helps (:
Yes, 13•150=1950 and then 11•60=660 so combined they equal 2610
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:
•12.12
•56.92
Step-by-step explanation:
•Sin 30° = x ÷ 14√3
x=14√3 *Sin30
x=7√3
x=12.12
•Tan30°=6√3÷x
x=6√30 ÷Tan 30
x=18√10
x=56.92
$0.31 for each pint hope this helps
