Answer: D. n + q = 20
5n + 25q = 300
Let n indicate the total number of nickels you own.
Let q signify the quarters you possess.
Given that you have 20 coins, this leads to the equation n + q = 20.
The overall value of the coins equals $3. Since a quarter is worth $0.25 and a nickel is valued at $0.05, the following equation results:
0.05n + 0.25q = 3.
After multiplying both sides by 100, you get 5n + 25q = 300.
The right choice is D. n + q = 20
5n + 25q = 300
In theory, each letter has an equal chance of appearing since there are 15 of each. With 5 letters available, the total count is 75 balls, and each letter has a probability 
of being selected.
This suggests a theoretical frequency of 
, meaning on average, any specific letter should be drawn 250 times, so the answer is D.
The area calculation for the shaded section, as seen in the attached diagram, involves subtracting the area of the kite from that of the rectangle. The area of the rectangle is calculated as (3x+x)*(x+x), which simplifies to 4x*2x, equating to 8x². The area of the kite is determined using the formula (1/2)*[d1*d2], where d1 and d2 represent the diagonals, specifically d1=4x and d2=2x. Therefore, the area of the kite becomes (1/2)*[4x*2x], leading to 4x². Consequently, the area of the shaded region can be computed as 8x²-4x², resulting in 4x². Thus, the solution is 4x².
Answer:
Area= 247 feet²
Volume= 1235 feet³
Step-by-step explanation:
The storage pod features a rectangular base measuring 19 feet by 13 feet, with a flat ceiling height of 5 feet above.
Calculating the area of the floor yields: length multiplied by width
Length = 19 feet
Width = 13 feet
Area = 19*13
Area = 247 feet²
The volume of the pod can be found by multiplying the area by the height
Height of the pod = 5 feet
Area = 247 feet²
Volume = 247*5
Volume = 1235 feet³
