Answer:
63.
Step-by-step explanation:
The number of blue balls = (1 - 4/7) = 3/7 of all the balls.
So the total number of balls = 27 * 7/3
= 9 * 7
= 63 (answer).
Linear equations are written as y = C1x + C2 where C1 & C2 are
constants. They are graphed by plugging in numbers for y or x and solve
for the other. For example if you have an equation y = 3x + 6 you then
for y = 1 you have 1 = 3x + 6 -> x = -5/3 you then take the two
coordinates (-5/3,1) and plot the point do this for further numbers and
connect the points with a straight line. Shifting the graph up or down
will change the value of C2 and shifting the graph left or right will
change C1.
The van can carry 6 students and bus can carry 21 students.
Step-by-step explanation:
Given,
High School A: 12 vans and 11 buses with 303 students
High School B: 6 vans and 7 buses with 183 students
To find the number of students that a van and a bus can carry.
Let us take,
The van can carry x students and the bus can carry y students.
According to the problem,
12x+11y = 303 ------- (1)
6x+7y = 183 ------- (2)
Multiplying 2 with (2) and subtract (1) and (2) we get,
(12x+11y) - 2(6x+7y) = 303-2(183)
or, 12x+11y-12x-14y = 303-366
or, -3y = -63
or, y = 21
From (2) we get,
6x+7(21) = 183
or, 6x = 183-147
or, 6x = 36
or, x = 6
Hence,
The van can carry 6 students and bus can carry 21 students.
Multiplying both sides by y+7, we get 2-y=(3y+21)/5 and then by multiplying both sides by 5 we get 10-5y=3y+21. After that, subtract 21 from both sides as well as add 5y to both sides to get -11=8y, so divide by 8 to get -11/8=y