Answer:
150 mL
Step-by-step explanation:
We need a mixture that is at 50%, now we have 200 mL at 35% and another mixture that is at 70%, that is, we must calculate how much of this mixture is added, by the following equation
200 * 35% + x * 70% = 50% (x + 200)
70 + 0.7 * x = 0.5 * x + 100
0.7 * x - 0.5 * x = 100 - 70
0.2 * x = 30
x = 30 / 0.2
x = 150
150 mL must be added so that the mixture is 50%.
Answer:
About 11494.04
Step-by-step explanation:
There is no sphere shown above but I can still get you the answer:
The formula for the volume of a sphere is 
π*r³
Putting in the radius, we get:
*π*14³=
*π*2744=
*π=
3658.66*π≈11494.04
Answer:
4
Step-by-step explanation:
.05x80=4
Answer:
An equation that represents the data would be y=2.75x+137.50. The y-intercept of the graph is 137.50, which represents the base cost of a boat rental. The slope of the graph is 2.75, which represents the rate, or cost per person. If we use this equation to solve for the cost of boat rental for 75 people, we would get a total of $343.75. A reason the marina might charge more for 75 people could be the need for a second boat and/or additional workers to handle the additional guests.
Step-by-step explanation:
The problem gives you four sets of ordered pairs: (10, 165); (20, 192.50); (35, 233.75) and (50, 275). Using these ordered pairs, you can either make a table, or use slope formula with two points to determine the rate of change. For example, (192.50-165)/(20-10)= 2.75, which represents the slope or cost per person. To find the y-intercept, or base cost to rent the boat, subtract the cost for 10 people ($27.50) from the $165 rental charge to get $137.50. In order to find the cost for 75 people, you would plug in 75 for the variable 'x' and solve for 'y', which gives us $343.75. Since the actual cost is different, we have to assume that there are additional fees associated with a certain number of people.
Answer:
ok
Step-by-step explanation:
