P is 48
Q is 53
R is 22
S is 24
40 boys and 68 girls
let's start with variables and an equation.
boys: x
girls: 2x - 12
and we know that boys and girls make up the class. so let's add the two expressions.
x + 2x - 12 = 108
3x - 12 = 108
+ 12 + 12
3x = 120
x = 40 boys
BUT x is only the number of BOYS in the class. so we have to find girls now. let's plug in our value of x into the girls' equation.
2x - 12 = # of girls
2(40) -12 = # of girls
80 - 12 = # of girls
68 girls
let's check our answer!
68 + 40 does in fact add to 108, therefore our answer is correct.
Shorter. Because of the way the arches work. the pink dot is the center.
Answer:
Two
Step-by-step explanation:
x² + 4 = 4x + 1
x² - 4x + 3 = 0
x² - 3x - x + 3 = 0
x(x - 3) - (x - 3) = 0
(x - 3)(x - 1) = 0
x = 1, 3
y = 4(1) + 1 = 5
y = 4(3) + 1 = 13
Two solutions: (1,5) (3,13)
The return trip was 21.2 hours long.
Step-by-step explanation:
Given,
Speed of plane from US = 212 mph
Speed of plane on return trip = 232 mph
Let,
x be the time taken on return trip.
Time taken from US = x+2
We know that;
Distance = Speed * Time
Distance of plane from US = 212(x+2) = 212x+424
Distance on return trip = 232x
As the distance will be same, therefore,

Dividing both sides by 20

The return trip was 21.2 hours long.
Keywords: distance, speed
Learn more about speed at:
#LearnwithBrainly