Jack = 3 presents every 15 minutes
luke = 4 presents every 20 minutes
target = 20 presents wrapped per person
y = kx ; where k is the constant rate, x is the number of presents wrapped, y is the total number of minutes spent wrapping x number of presents.
we need to compute for the unit rate of each individual.
Jack: 15 minutes / 3 presents = 5 minutes per present
Luke: 20 minutes / 5 presents = 4 minutes per present
Jack:
y = 5 minutes per present * 20 presents = 100 minutes
Luke:
y = 4 minutes per present * 20 presents = 80 minutes
Answer:
Step-by-step explanation:
(e) (x-8)(x-9)
Multiplying two binomials.
x(x-9)-8(x-9)
x² -9x - 8x + 72
x² - 17x + 72
(f) 6x⁴ - 12x
Common factoring.
6x(x³ - 2)
(g) x² + 8x + 12
Factoring trinomial of the form ax² + bx + c.
x² +2x + 6x + 12
x(x + 2) + 6(x + 2)
(x + 2) (x + 6)
(h) (x + 7)(x + 5)
Multiplying two binomials.
x(x + 5)+7(x + 5)
x² + 5x + 7x + 35
x² + 12x + 35
(i) x² - 36
Difference of two squares.
a² - b² = (a + b)(a - b)
x² - 6²
a = x, b = 6
(x + 6)(x - 6)
Step-by-step explanation:
s=d/t
s=18/30
s=3/5km/h
Answer:
38.2%
Step-by-step explanation:
Given data
Initial number= 136
FInal number= 84
%dcrease= initial-final/initial*100
%dcrease= 136-84/136*100
%dcrease= 52/136*100
%dcrease=0.382*100
%dcrease=38.2%
Hence the decrease is 38.2%
