3p = 4 - 9p
+9p + 9p
------------------
12p = 4
divide both sides by 12
p= .333 repeating or 1/3
Answer:
Volume of cube = 2.33 cubic feet
Length of side of cube = 1.325 feet
Step-by-step explanation:
Given
Weight of each sphere = 350 pounds
Density of each concrete = 150 pounds per cubic foot
Volume of cube = 350 pounds / 150 pounds per cubic foot
Volume of cube = 350/150 cubic feet
Volume of cube = 2.33 cubic feet
Length of side of cube = Cubic root of 2.33
Length of side of cube = 1.325 feet
Answer:
a.
Step-by-step explanation:
Each system has a different purpose. one for the cost, and one for the pounds.
x+y=12 is for the pounds
since each pound of dried fruit cost $6 and each pound of nuts cost $2, and you can only spend $40,
6x+2y=40
Answer:
It'll take 7.5967 years to have $300 on that account.
Step-by-step explanation:
This problem involves a compounded interest compounded continuously, so in order to solve it we must use the formula for those cases as shown below:
M = C*e^(i*t)
Where M is the final value, C is the initial capital, i is the interest rate and t is the total time. We have:
300 = 250*e^(0.024*t)
e^(0.024*t) = 300/250
e^(0.024*t) = 1.2
0.024*t = ln(1.2)
t = ln(1.2)/0.024 = 7.5967
It'll take 7.5967 years to have $300 on that account.
Answer: 20%
Step-by-step explanation: Let’s use the variable ‘x’ as the percent. You need to make an equation and fill in the blanks. ___ is ____% of ____. So 380 is x% of 475. Now solve the problem. 380/475 = x/100, cross multiply. Now you have 475x = 380 * 100 or 475x = 38000. Now divide each side by 475. Now you have, x = 80%. Now you subtract. 100% - 80%. AND YOU GET 20%
