Sheila Total:: 6x
<span>Sherri Total:: 5(x+10) = 5x+50
</span><span>(a) Write an equation. Let x represent the amount of one of Sheila’s deposits.
6x = 5x+50
</span><span>(b) Solve the equation. Show your work.
x = 50
</span><span>(c) Check your solution. Show your work.
6*50 = 5(50+10)
300 = 5*60
300 = 300</span>
<span>(d) State the solution in complete sentences.
I'll leave that to you.
:)</span>
In this problem, we are asked for the volume of the pool filled with water. In this case, the volume of the rectangular prism is equal to length times width times height. Since length and width are equal, the formula includes the squaring of the length. after substitution, the formula is 9^2 * 5 equal to 405 m3.
Answer:
≈ 82 feet
Step-by-step explanation:
Since the triangle is right use Pythagoras' identity to calculate distance (d)
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
Here the hypotenuse is the distance (d) between the 2 poles, hence
d² = 80² + 45² = 6400 + 2025 = 8425 ( take the square root of both sides )
d = 
≈ 82 feet ( to the nearest foot )
12^x - 2 = 20
12^x = 22
x log 12 = log 22
x = (log 22)/(log 12)
The rest is a calculator exercise. Use any base log you like, as long as both are the same base. (The right side is really the base-12 logarithm of 22, but nobody has a base-12-log key on their calculator.)
