Answer:
16:12
Step-by-step explanation:
(4+12)=16
16/4 = 4
4x3=12
Another method:
4---------3
16-------x
Cross multiplication
4x=16x3
4x=48
x=12
The "dot product" of two vectors has several different formulas.
Since you are given the x- and y-coordinates of both vectors a and b, we can apply the formula
a dot b = ax*bx + ay*by, where ax=x-component of vector a, by=y comp of vector b, and so on.
So, for the problem at hand, ax * bx + ay * by becomes
3(-2) + (-8)(-6) = -6 + 48 = 42 (answer). Note that the dot product (or "scalar product" is itself a scalar.
Answer:
x = 0
Step-by-step explanation:
x+\frac{6}{2}+5-4\cdot \frac{x}{3}-8-\frac{x}{6}=0
x+3+5-4\cdot \frac{x}{3}-8-\frac{x}{6}=0
x+3+5-\frac{4x}{3}-8-\frac{x}{6}=0
x-\frac{4x}{3}-\frac{x}{6}+3+5-8=0
x-\frac{4x}{3}-\frac{x}{6}=0
x\cdot \:6-\frac{4x}{3}\cdot \:6-\frac{x}{6}\cdot \:6=0\cdot \:6
6x-8x-x=0
-3x=0
\frac{-3x}{-3}=\frac{0}{-3}
x=0
Answer:
1.) Proportion is about the ratio of part of something out of a whole. Percentage is similar because it tells you the ratio of something out of a whole.
2.) No, tip amount is more than what the waiter usually receives
Step-by-step explanation:
2.) The amount of tip the waiter receives = 20% of total money.
therefore 20% of 47.20 = 20/100 * 47.20 = $9.44;
$11 > $9.44