You have to answer essay questions for an exam. There are essays to choose from. How many different groups of essays could you p
1 answer:
Answer:
15.
Step-by-step explanation:
Please consider the complete question.
You have to answer 2 essay questions for an exam. There are 6 essays to choose from. How many different groups of 2 essays could you possibly choose?
We will use combinations formula to solve our given problem.
The number of combination of n terms r terms chosen at a time is given by formula:
Therefore, there are 15 different groups of essays could you possibly choose.
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18.66 quarts of paint is needed to paint the swimming pool with two coats of paint
<em><u>Solution:</u></em>
Given that,
<em><u>A swimming pool is in the shape of a rectangular prism</u></em>
Length = 20 feet
Width = 10 feet
Height = 5 feet
<em><u>Find the surface area of prism</u></em>
Where, "l" is the length and "w" is the width and "h" is the height
Thus surface area area of prism is 700 square feet
Given that,
One quart of water-resistant paint covers 75 square feet
Therefore,
1 quart paint = 75 square feet
x quart = 700 square feet
This forms a proportion
Thus 9.33 quarts of paint is needed to cover 700 square feet
How many quarts should you buy to paint the swimming pool with two coats of paint
For two coats of paint we need = 9.33 + 9.33 = 18.66 quarts of paint
The students rented 4 small cars and 8 large cars.
Step-by-step explanation:
Given,
Number of people in small car = 4
Number of people in large car = 7
Total people in both type of cars = 72
Let,
x represent the number of small cars rented.
y represent the number of large cars rented.
According to given statement;
4x+7y=72 Eqn 1
y = 2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 18
Putting x=4 in Eqn 2
The students rented 4 small cars and 8 large cars.
Keywords: linear equation, substitution method
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