Total sales were $4659.1
Step-by-step explanation:
Given,
Commission = 11%
Amount of commission = $512.50
Let,
total sales = x
Therefore,
11% of x = 512.50
Dividing both sides by 0.11
Total sales were $4659.1
Keywords: percentage, division
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Step-by-step explanation:
Answer:
195 students
Step-by-step explanation:
585/9=65
65*3=195
Answer: x = # of student tickets
y = # of adult tickets
x + y = 1294 >> y = 1294 - x
5x + 8y = 8816
5x + 8y = 8816
5x + 8(1294 - x) = 8816
5x + 10,352 - 8x = 8816
-3x + 10,352 = 8816
-3x = -1536
x = 512 student tickets
512 student tickets were purchased.
(B)
u = 9 i - 6 j
v = -3 i - 2j
w = 19 i + 15 j
u • v = (9 i - 6 j) • (-3 i - 2j)
Distribute the dot products:
u • v = 9*(-3) (i • i) + 9*(-2) (i • j) + (-6)*(-3) (j • i) + (-6)*(-2) (j • j)
i and j are orthogonal unit vectors, so their dot products are 0, while i • i = j • j = 1. So we have
u • v = 9*(-3) + (-6)*(-2) = -27 + 12 = -15
In other words, the dot product can be computed by simply multiplying corresponding components, and taking the total.
u • w = 9*19 + (-6)*15 = 81