Answer:
girls = 125
boys = 87
Step-by-step explanation:
Total number of students in the 8th grade class = 212
Let g represent girls and b represent boys
Number of girls, g = 2b -49
Note that boys and girls in the class give a total of 212
So,
g + b = 212 ....eq 1
Slot in the value of g in the equation
2b - 49 + b = 212
2b + b - 49 = 212
3b - 49 = 212
Add 49 to both sides
3b - 49 + 49 = 212 + 49
3b = 261
Divide both sides by the coefficient of b which is 3
b = 87
Now that we've found the number of boys, let's find that of girls
We will slot in the value of b in eq 1
g + 87 = 212
Subtract 87 from both sides
g + 87 - 87 = 212 - 87
g = 125
So the number of boys is 87 and the number of girls is 125
Answer:
30%
Step-by-step explanation:
In hundreds, the total of gas money was ...
9 + 3 + 9 + 3 + 6 = 30
Of that, 9 came from Arjun. That fraction is ...
9/30 = 3/10 = 30/100 = 30%
Answer:
Hours
Step-by-step explanation:
Jake is being paid $15 an hour, not per child.
Say he has five children, three stay for one hour, two stay for two hours. If he's getting paid per hour, then he'd earn $105. But, if he gets paid per child he'd only make $75 dollars.
But since it says that he gets paid per HOUR, it would be proportional to how much money he makes.
Answer:
x = 6
Step-by-step explanation:
(8/3)x - 16 = 0
Add 16 to both sides
(8/3)x = 16
Multiply both sides by 3/8
x = 16(3/8)
x = 6
Given:
Angelica reads 15 pages of a book each day.
In 10 days, she reads 200 pages.
Assume the relationship is linear.
To find:
The rate of change and initial value.
Solution:
The slope intercept form of a linear function is:
...(i)
Where m is the slope and b is the y-intercept.
Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and 
.
In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).
Putting 
in (i), we get
So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.
Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.
