Answer:
15 two-point questions and 5 four-point questions.
Step-by-step explanation:
Let x represent number of two-points questions and y represent number of four-points questions.
We have been given that Janice wants to create a test containing 20 questions. We can represent this information in an equation as:
Since all questions are worth 50 points. We can represent this information in an equation as:
From equation (1), we will get:
Upon substituting this value in equation (2), we will get:
Therefore, there are 5 questions that are worth 4 points each.
Now, we will substitute in equation (1) to solve for x.
Therefore, there are 15 questions that are worth 2 points each.
<span>Simplifying
2x + -3 = -1x + 3
Reorder the terms:
-3 + 2x = -1x + 3
Reorder the terms:
-3 + 2x = 3 + -1x
Solving
-3 + 2x = 3 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
-3 + 2x + x = 3 + -1x + x
Combine like terms: 2x + x = 3x
-3 + 3x = 3 + -1x + x
Combine like terms: -1x + x = 0
-3 + 3x = 3 + 0
-3 + 3x = 3
Add '3' to each side of the equation.
-3 + 3 + 3x = 3 + 3
Combine like terms: -3 + 3 = 0
0 + 3x = 3 + 3
3x = 3 + 3
Combine like terms: 3 + 3 = 6
3x = 6
Divide each side by '3'.
x = 2
Simplifying
x = 2
answer x=2
Hope I Helped:D</span>
we are given
Hao dog ate 40 cans of dog food in 31 days
it means that
Firstly, we will find for 1 day
we can divide both sides by 31
now, we can multiply both sides by 6
so,
Hao buy to feed his dog for for the next 6 days is 7.74194 cans.......Answer
Answer:
<u>The volume of the prism is 97.2 m³</u>
Step-by-step explanation:
Let's recall that the volume of a triangular prism is base * height and the base is a triangle, then the formula is as follows:
Volume = 1/2 (base of the triangle * height of the triangle) * height of the prism
Replacing with the real values, we have:
Volume = 1/2 (7.2 * 9) * 3
Volume = 32.4 * 3 = 97.2 m³
<u>The volume of the prism is 97.2 m³</u>
