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soldi70 [24.7K]
4 years ago
5

Sam spent $32.50 to take his girlfriend to the movies. He spent 40% on snacks and the remainder was spent on the two tickets. Ho

w much was each ticket?
Mathematics
1 answer:
Scorpion4ik [409]4 years ago
6 0

$32.50 X .4 = $13, 32.5-13=19.5, 19.5 divided 2 =$9.75

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Let u = (1, 2 -2), v= (2, 1, 3) and w = j + 4k. a) Find cos theta, where theta is the angle in degrees between u and w.
vodka [1.7K]

Answer: The value of cos theta is -0.352.

Step-by-step explanation:

Since we have given that

\vec{u}=1\hat{i}+2\hat{j}-2\hat{k}\and\\\\\vec{w}=\hat{j}+4\hat{k}

We need to find the cos theta between u and w.

As we know the formula for angle between two vectors.

\cos\ \theta=\dfrac{\vec{u}.\vec{w}}{\mid u\mid \mid w\mid}

So, it becomes,

\cos \theta=\dfrac{2-8}{\sqrt{1^2+2^2+(-2)^2}\sqrt{1^2+4^2}}\\\\\cos \theta=\dfrac{-6}{\sqrt{17}\sqrt{17}}=\dfrac{-6}{17}=-0.352\\\\\theta=\cos^{-1}(\dfrac{-6}{17})=110.66^\circ

Hence, the value of cos theta is -0.352.

8 0
3 years ago
The Waverly Brush Company issued 4,000 shares of common stock worth $200,000.00 total. What is the par value of each share?
Lesechka [4]
What you have to do for this is to divide the total worth ($200,000.00) by the number of shares.

So this means that we need to count:

200 000 ÷4 000

here's a trick:
if you divide two numbers with many 0s at the end, you can always erase the SAME mount of 0s at the end (this is equivalent to dividing by 10).

so
200 000 ÷4 000

is equivalent to :

200 ÷4

which is 50! (4*50=200)

so the answer is that each share was worth 50 dollars.


5 0
4 years ago
Read 2 more answers
Cam someone please explain how to do this?
Illusion [34]
When quantities are in a proportional relationship, they are related to each other by a multiplicative constant. That is the case for selections F, G, J, but not the case for selection H.

You are asked to find the relationship that is NOT a proportional relationship. The appropriate choice is ...
  H. y = 1/2 + x
6 0
4 years ago
Select the correct answer. Which graph represents the function f(x) = 2 x – 1 + 2?
zubka84 [21]

Answer:

the third graph represents the function (;

3 0
3 years ago
1. How can you tell that a point on the graph is a maximum or minimum?
nekit [7.7K]

9514 1404 393

Answer:

  1. there are no points higher than a maximum; no points lower than a minimum
  2. average rate of change is the slope of a straight line connecting the points of interest.

Step-by-step explanation:

1. A point on a graph is a maximum if there are no points on the graph that are higher.

A point on a graph is a minimum if there are no points on the graph that are lower.

Sometimes you're interested in a "local" maximum or minimum. In that case, the "no points higher/lower" rule refers to points in the immediate vicinity of the one of interest.

Sometimes you're interested in a maximum or minimum on an interval. In that case, the rule applies to points contained within the interval. (The maximum or minimum may be at the end of the interval.)

__

2. Average rate of change is defined over some interval. That is, you are given the end points of the interval of interest. The average rate of change is the slope of a straight line between those end points. The slope formula applies:

  m=\dfrac{y_2-y_1}{x_2-x_1} \quad\text{where the end points of the interval are $(x_1,y_1)$ and $(x_2,y_2)$}

4 0
3 years ago
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