Question 5 of 23 Simplify the expression. –x(6x – 7) A. –6x2 + 7x B. 5x2 – 6x C. 6x + 7x D. –6x – 7x
1 answer:
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x + y = 15 and 5x + 10y = 100 are the system of equations that represent this situation
<em><u>Solution:</u></em>
Let "x" be the number of multiple choice questions
Let "y" be the number of short answer questions
Worth of 1 multiple choice questions = 5 points
Worth of 1 short answer question = 10 points
<em><u>Ms. Lee wrote a test with 15 multiple choice short answer questions</u></em>
Therefore,
number of multiple choice questions + number of short answer questions = 15
x + y = 15 -------- eqn 1
<em><u>The maximum number of points possible on the test is 100</u></em>
Therefore, we frame a equation as:
number of multiple choice questions x Worth of 1 multiple choice questions + number of short answer questions x Worth of 1 short answer question = 100
5x + 10y = 100 ------- eqn 2
Thus eqn 1 and eqn 2 are the system of equations that represent this situation
Answer:
The pool can contain <u>4521.6 gallons</u> of water.
Step-by-step explanation:
Given:
The diameter of the cylindrical swimming pool = 16 feet.
And the height of the cylindrical swimming pool = 3 feet.
(1 ft³ = 7.5 gallons)
Now, to find the gallons of water the pool can contain.
So, we find the radius first:
Radius (r) = =
Height (h) = 3 feet.
Now, to get the volume of swimming pool which is cylindrical in shape by putting formula (using the value of π = 3.14):
<em>Thus, getting the volume of pool 602.88 feet³.</em>
<em>As, given 1 ft³ = 7.5 gallons</em>.
Now, to get the gallons of water the pool can contain we multiply the volume of pool by 7.5:
Therefore, the pool can contain <u>4521.6 gallons</u> of water.