So we know that 22% of the mass off the chocolate bars is pecans, and that 4.5kg of pecans were used. To find the mass of nutty chocolate bars made with 4.5kg of pecans we can divide the 4.5 by 22 to find 1% of the weight of nutty chocolate bars produced, then multiply it by 100 to find the full weight in kg.
So 4.5/22= 0.205 (3dp), then 0.205x100=20.5kg of nutty chocolate bars produced.
Now to convert the kgs of chocolate bars to lbs, we multiply by 2.205 (as there is approximately 2.205 lbs to 1 kg).
So 2.205x20.5kg=45.203 lbs (3dp) of nutty chocolate bars produced on Tuesday.
10 units up means to add 10 to the y-coordinate of the vertex (h, k).
p(x) = 0.005(x - 40)² + 60
p(x) shifted up 10 units = 0.005(x - 40)² + (60 + 10)
q(x) = 0.005(x - 40)² + 70
Answer:
6
Step-by-step explanation:
5×+23= 53
5×+23-23= 53-23
5x=30
30÷5=6
Answer:
Step-by-step explanation:
(a)
Given:
is in xy plane and 
is in the direction of k.
|a|=6 units, |b|=3 and θ = 90°
|a × b| = |a| × |b| sinθ
= |a| × |b| sin90°
= 6 × 3 × 1
|a × b| = 18
(b)
Let 
is perpendicular to both 
.
In this case,
x-component of 
is positive.
y-component of is negative.
z-component of is zero.
