Answer:
The student's overall grade is 85.79%
Step-by-step explanation:
Given in the question that:
Exam = 50%; Quiz = 30%, Home work = 15% and Class participation = 5%
The total giving us 100%.
A particular student scored the following;
87.9% on exams, 77.8% quiz, 90% Home work and 100% on class participation
Calculating the percentages the student had for each;
Exam total = 50*0.879 = 43.95% earned
Quiz = 30*0.778 = 23.34% earned
Home work = 15*0.9 = 13.5% earned
Class participation = 5*1 = 5% earned
Total earned = 43.95+ 23.34 + 13.5+ 5 = 85.79%
The area of a triangle is given by the formula
, where B is the base and h is the height. We can rearrange this formula to solve for B.
.
We plug in the given area, 640 square millimeters, and the given height, 32 millimeters.
.
40 mm is our final answer.
Answer:
Step-by-step explanation:
20/6 - 4/6= 16/6= 2 4/6= 2 2/3
Answer:
B.
Step-by-step explanation:
The problem has got to be addition.
The sentence "Sarah is 6 years older than Amy." does not include any hint of subtracting, or multiplying.
A hint of multiplying in a expression would be the word 'times', like "Brandon is 6 times the age of Emily" which eliminates D.
A hint of subtraction in an expression would be the word 'less', like "Brandon is 6 less the age of Emily." which eliminates A and C.
The word 'older' indicates addition, or adding, and if it would have been subtraction, the keyword would be 'younger' because you are subtracting their age, like 19 - 11. The same goes with B, but adding.
Finally, we now know that it is B because there is no other addition choice.
I hope this helped. Please correct me if I am wrong.
Answer: x = 1, y = - 5
Step-by-step explanation:
The given system of linear equations is expressed as
x - 2y = 11- - - - - - - - - - - - -1
- x + 6y = - 31- - - - - - - - - - - -2
We would eliminate x by adding equation 1 to equation 2. It becomes
- 2y + 6y = 11 - 31
4y = - 20
Dividing the the left hand side and the right hand side of the equation by 4, it becomes
4y/4 = - 20/4
y = - 5
Substituting y = - 5 into equation 1, it becomes
x - 2 × - 5 = 11
x + 10 = 11
Subtracting 10 from the left hand side and the right hand side of the equation, it becomes
x + 10 - 10 = 11 - 10
x = 1
