<h3>
Answer: 127</h3>
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Explanation:
The phrasing "2/3 of 4/5 of his 2nd exam on his 3rd test" is a bit clunky in my opinion. It seems more complicated than it has to be.
The student got 80 on the second exam. 4/5 of this is (4/5)*80 = 0.8*80 = 64. Then we take 2/3 of this to get (2/3)*64 = 42.667 approximately. If we assume only whole number scores are given, then this would round to 43.
Let x be the score on the fourth exam. Since 5 points of extra credit are given, the student actually got x+5 points on this exam.
So we have these scores
- first exam = 70
- second exam = 80
- third exam = 43
- fourth exam = x+5
Adding up these scores and dividing by 4 will get us the average
(sum of scores)/(number of scores) = average
(70+80+43+x+5)/4 = 80
(x+198)/4 = 80
x+198 = 4*80
x+198 = 320
x = 320 - 198
x = 122
So the student got a score of x+5 = 122+5 = 127 on the fourth exam.
Answer:
Option H. The cone must be filled with water and emptied into the cylinder three times in order to fill the cylinder with water. Therefore The volume of a cone is one-third the volume of the cylinder
Step-by-step explanation:
we know that
<em>The volume of the cone is equal to</em>
<em>The volume of the cylinder is equal to</em>
therefore
In this problem
the volume of the cylinder is three times the volume of the cone
or
The volume of the cone is one-third the volume of the cylinder
Answer:
72
To find the area of a trapezoid, you need to know the formula: A=(a+b)/2*h. h is the height, a is the small base, and b is the larger base.
Using the formula, you will get
A=(5+13)/8=72
<h2>
Greetings!</h2>
Answer:
x = 10
Step-by-step explanation:
First, we need to isolate all the x's on one side. To do this we need to move the -20 over to the other side making it a +20:
3.5x + 1/2x = 40 + 20 - 2x
Add the x's and the 40 and 20:
4x = 60 - 2x
Move the -2x over to the other side making it a +2x:
4x + 2x = 60
6x = 60
Divide both sides by 6:
x = 10
So x = 10
<h2>Hope this helps!</h2>
