Answer:
A
Step-by-step explanation:
Put Y=0

Now

so A is right option
82
Explanation
the average is calculated by dividing the sum of the values in the set by their number.
Step 1
Let

Step 2
apply the equation

so, the answer is 82
Answer:
There are 33 multiple choice questions and 9 short answer questions on the test
Step-by-step explanation:
In this question, we are asked to calculate the number of multiple text answers and short answers given in a test, given that the test taker will attempt a number of questions and have a particular score.
Since we do not know the number of these questions individually, let’s represent them with variables. Let the number of multiple choice questions to be answered be x and the number of short answers questions to be given be y.
Mathematically,
x + y = 42. (I)
Also, the total points is 60, with multiple choice of 1 point each and short answers of 3 points each. Mathematically, this means;
x(1) + y(3) = 60.
x + 3y = 60. (ii)
Now let’s solve both 1 and 2 simultaneously.
From 1, let’s say y = 42-x and substitute this in 2
x +3(42-x) = 60
x + 126 -3x = 60
-2x = 60-126
2x = 66
x = 66/2
x = 33
From y = 42-x, we can substitute the value of x and get y.
y = 42-33
y = 9
Answer:
The distance from the ramp's contact point with the ground and the base of the platform is 10.90 feet.
Step-by-step explanation:
As
- A ramp 12 feet long is leaning against a raised platform which is 5 feet above the ground.
And
- We have to determine the distance from the ramp's contact point with the ground and the base of the platform.
Since we are looking for the side of 'b' right triangle.
Please check the attached figure.
So using the Pythagorean formula:
Fora right angled triangle with sides a, and b the hypotenuse c is defined as




feet
Therefore, the distance from the ramp's contact point with the ground and the base of the platform is 10.90 feet.
Answer:
0.48
Step-by-step explanation:
2.88/6=0.48