Answer:
Option B
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem the only linear function that passes through the origin is
where
The constant of proportionality is k=3/4
Answer: 72 nickels and 15 quarters
Step-by-step explanation:
72 times .05 = 3.6 or $3.60
15 times .25 = $3.75
Total = $7.35
.05 is representing the nickels and .25 is representing the quarters and if you take a calculator and do 87-72 you get 15 and you can set it up yourself to double check. But I wouldn't recommend doing it with pennies that's how I got confused so many times and you can also give yourself a similar problem if you want to make sure you know how to do it. Sorry if this was confusing.
Answer:
j
Step-by-step explanation:
Answer:
1278.8 ft^3
Step-by-step explanation:
radius of cylinder = r = 5.8 ft
height of cylinder = h = 8.9 ft
radius of cone = r = 5.8 ft
height of cone = H - h = 18.5 ft - 8.9 ft = 9.6 ft
volume = volume of cylinder + volume of cone
V = (pi)(r^2)h + (1/3)(pi)(r^2)(H - h)
V = (3.14159)(5.8^2 ft^2)(8.9 ft) + (1/3)(3.14159)(5.8^2 ft^2)(9.6 ft)
V = 1278.8 ft^3
Answer:
Soleil and Malvin would have $ 5,000 all together after 13 days.
Step-by-step explanation:
Since Soleil and Malvin each work a job, and Soleil starts with $ 700 and makes $ 100 per day while Malvin starts out with $ 200 and makes $ 120 per day, to determine after how many days will they have at least $ 5000 all together it must be done the following calculation:
5,000 - 700 - 200 = 4,100
200X + 120X = 4,100
320X = 4,100
X = 4,100 / 320
X = 12.8
So Soleil and Malvin would have $ 5,000 all together after 13 days.
