Answer: u.(v+w) = -20
Step-by-step explanation:
Given;
u = -i+j
v = 10i-2j
w = -8j
v+w = 10i-2j +(-8j)
v+w = 10i-10j
u .(v+w) = (-i+j).(10i-10j)
= -1×10 + 1 ×-10
= -10-10
u.(v+w) = -20
The answer would be $51.36
48.00 x 7% = 3.36
48.00 + 3.36 = $51.36
5 = 1/3
So divide each side by 5
we get
1 = 1 / 15
Each roll needs 1 / 15 cups of flour
Answer: each girl received 30 stickers.
Step-by-step explanation:
Let x represent the number of stickers that the boys received.
Let y represent the number of stickers that the girls received.
The total number of children was 42. 2/3 of the children were boys. It means that the number of boys were
2/3 × 42 = 28
The number if girls would be
42 - 28 = 14
The total number of stickers that the school principal shared was 840. It means that
28x + 14y = 840- - - - - - - - -1
Each of the boys received the same number of stickers while each girl received twice as many as each boy. It means that
y = 2x
Substituting y = 2x into equation 1, it becomes
28x + 14 × 2x = 840
28x + 28x = 840
56x = 840
x = 840/56
x = 15
y = 2x = 15 × 2
y = 30
2³ and 3²
2² and 3³
lowest powers of each common factor is gcf
2² · 3²