Which ratio forms a proportion with 18/27? a. 1/3b. 2/5c. 2/3d. 7/9
1 answer:
You might be interested in
Answer: 51.5 cubic feet.
Step-by-step explanation:
Since, The height of the building will be 309 feet, and a size of the base measures 250 feet.
And, we know that the volume of the square pyramid =
Here, size of the base of the square pyramid = 250 feet.
And, height = 309 feet.
Therefore, the volume of the given square pyramid,
⇒
⇒ = 6437500 cubic feet.
Again according to the question,
The scale model that is displayed at a convention is one fiftieth the size of the actual building.
Therefore, Volume of the scale model = the volume of the given square pyramid/125000
= 6437500/125000= 51.5 cubic feet.
Thus, the volume of the scale model is 51.5 cubic feet.
This is a system of equations. We can solve it by recognizing the two linear equalities we've given to solve this equation.
First, let's start off by recognizing two variables: x and y. x will be our number of hard puzzles, and y will be our number of easy puzzles. We're given that the number of hard puzzles and easy puzzles sum to 50, so we can rewrite that as:
Next, we're given that the sum of the points gained from the hard puzzles (60x), and the number of points gained from the easy puzzles (30y), sum to 1950. We can rewrite that as:
Now, we have our two linear equations, and we must solve for the hard puzzles, so x. Solving for the hard puzzles means eliminating the easy puzzles from our systems, so we can multiply our first equation by 30, and subtract it from the first equation. This is a technique called elimination.
Since x=15, Tina has solved 15 hard puzzles.