Answer:
The highest score is 91 and the lowest score is 53
Step-by-step explanation:
The highest and lowest scores on a test taken by 80 students are within 19 points of the average of the exam. The average is 72.
1. The method used to solve this question, is the use of absolute values.
2. Let x be the value that we can use to represent the lowest and highest scores. The equation using absolute values is given as:
| x - 72 | = 19.
Therefore:
x - 72 = 19 (highest score) or
- (x - 72) = 19 (lowest score)
3. We have to find the value of x for which it is the highest or lowest score.
The highest score is given as:
x - 72 = 19
x = 19 + 72
x = 91
For lowest score:
-(x - 72) = 19
-x + 72 = 19
x = 72 - 19
x = 53
The highest score is 91 and the lowest score is 53
A way a teacher can help the student by using preferential seating, so that the student can see the teacher's mouth when he/she is speaking. Reduce background noise in the classroom. Use preferential seating, so that the teacher can more privately model correct articulation to the student. Give additional time for the student to speak. This way the child will have an easier time learning.
4 x 6 = 24.
Double the dimensions.
8 x 12 = 96
If the dimensions were to double, the area would quadruple.
again, we're assuming that both triangles are similar, and thus using proportions.
we do not use the -10, because whatever value "x" may be, can't be negative or even 0.
