Answer:
Pencils = 325 ; Pens = 975 ; Markers = 650
Step-by-step explanation:
Let :
Number of Pencils = x
Number of pens = y
Number of markers = z
2 times as many markers as pencils
z = 2x
3 times as many pens as pencils
y = 3x
x + y + z = 1950
Write z and y in terms of x in the equation :
x + 3x + 2x = 1950
6x = 1950
Divide both sides by 6
6x / 6 = 1950 / 6
x = 325
Number of pencils = 325
Pens = 3 * 325 = 975
Markers = 2 * 325 = 650
Pencils = 325 ; Pens = 975 ; Markers = 650
Average speed of cyclist = x
average speed of car = 3x
x = 225/5
x = 45km/h
3x = 3(45)
3x = 135km/h
average speed of cyclist = 45km/h
average speed of car = 135km/h
Answer:
Step-by-step explanation:
Given
Required
PQ
Since Q is between the given points, then:
This gives:
Collect like terms
Next, solve for x
We have:
This gives:
Collect like terms
Divide by 2
So:
(5y - 1) + (-2y + 4) = 5y - 1 - 2y + 4
= 5y - 2y - 1 + 4
= 3y + 3 [OPTION B]
