According to the dimensions given, the volume of paper in the recycling bin is of 6800 cubic inches.
<h3>What is the volume of a rectangular prism?</h3>
It is given by the multiplication of the base area by the height, that is:

In this problem, we have that the measures in square inches and inches, respectively, are given by:

Hence:

The volume of paper in the recycling bin is of 6800 cubic inches.
More can be learned about the volume of a rectangular prism at brainly.com/question/17223528
Answer:
42 units²
Step-by-step explanation:
The figure is composed of a rectangle ( middle section) and 2 triangles with the same length base and height
Area of rectangle = 7 × 4 = 28 units²
Area of 2 triangles = 2 ×
× 7 × 2 = 14 units²
Area of figure = 28 + 14 = 42 units²
Answer:
Total number of outcomes = 23
number of biology and art students = 2
number of biology students = 2
Since it is given that all the students study art,
number of possible outcomes = 2
probability = number of favorable outcomes/number of total outcomes.
= 2/23
Therefore probability that the selected student studies both art and biology is 2/23.
Answer:
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Answer:
Therefore there are 35 number of 2-point questions and 15 number of 5-point questions.
Step-by-step explanation:
i) let the number of 2 point question is x.
ii) let the number of 5 point questions be y
iii) total number of questions is 50
iv) therefore x + y = 50
v) it is also given that 2x + 5y = 145
vi) solving for the two equations found in iv) and v). Multiplying iv) by 2 we get
2x + 2y = 100
vii) subtracting equation vi) from equation v) we get 3y = 45.
viii) Therefore y = 15.
ix) using the value in viii) and substituting in iv) we get x + 15 = 50.
Therefore x = 50 - 15 = 35
x) Therefore there are 35 number of 2-point questions and 15 number of 5-point questions.