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suzette went to the store and bought some eye liner for $2.50. two weeks later, the price of the eyeliner was increased by 50%.

Dmitrij [34]

Answer:

$5.00

Step-by-step explanation:

Since the eyeliner went up and doubled in price, you simply multiply 2.50 by 2, and you get $5.00

4 0

2 years ago

A discuss moves from P1 (4,8) to P2 (15,17). What is the lincar displacement in the horizontal and vertical directions? What is

Yakvenalex [24]

Answer:

The horizontal displacement is 11 units, the vertical displacement is 9 units, and the projection angle is 39.3 degrees.

Step-by-step explanation:

We can start using the definition of displacement in one dimension between any 2 points which is the difference between them, so we have

$\Delta s = s_2-s_1$

And apply it to get the horizontal and vertical displacements.

Once we have found them, we can use trigonometric functions to find the projection angle with respect the horizontal.

Linear displacements.

Using the definition of displacement, we can write the horizontal displacement as

$\Delta x = x_2-x_1$

So we can use the given points $P1:(x_1,y_2) \text{ and } P_2: (x_2,y_2)$ on the displacement formula

$\Delta x = 15-4\\\Delta x = 11$

In the same manner we can look at the y components of those points to find the vertical displacement

$\Delta y = 17-8\\\Delta y =9$

Thus the horizontal displacement is 11 units and the vertical displacement is 9 units.

Projection angle.

The projection angle with respect the horizontal is the angle that is made between the line that connects the points P1 and P2 and the horizontal, so we can use the linear displacements previously found to write

$\tan(\theta) = \cfrac{\Delta y}{\Delta x}$

Solving for the angle we get

$\theta = \tan^{-1}\left(\cfrac{\Delta y}{\Delta x}\right)$

Replacing values

$\theta = \tan^{-1}\left(\cfrac{9}{11}\right)$

Which give us

$\theta = 39.3^\circ$

So the projection angle is 39.3 degrees.

7 0

3 years ago

Check all of the ordered pairs that satisfy the equation below.y=2/5x

zvonat [6]

We are going to do this step by step:

Let's start with option A

A.

X = 25 and Y = 5/2

$y=\frac{2}{5}\cdot x=\frac{2}{5}\cdot25=\frac{2\cdot25}{5}=\frac{50}{5}=\frac{5\cdot10}{5\cdot1}=10$

In this case, when X = 25 , then Y = 10 ,which is different to 5/2

B.

X = 14 , Y = 35

$y=\frac{2}{5}\cdot14=\frac{28}{5}$

In case, when X = 14, then Y = 28/5, which is different to 35

C.

X = 40 , Y = 24

$y=\frac{2}{5}\cdot40=\frac{80}{5}=16$

Similarly, in this case, when X = 40, then Y = 16, which is different to 24

D.

X = 10 , Y=4

$y=\frac{2}{5}\cdot10=\frac{20}{5}=4$

Now, in this case, we can see that when X = 10, then Y = 4 which is the same as the given value of Y

E.

X = 50 , Y = 20

$y=\frac{2}{5}\cdot50=\frac{100}{5}=20$

In this case, the values of Y are also the same.

F.

X = 30 , Y = 12

$y=\frac{2}{5}\cdot30=\frac{60}{5}=12$

Again, in this case, the values of Y are the same, so the pair satisfies the equation.

In conclusion: options D, E and F satisfy the equation

3 0

11 months ago

The amount $180.00 is what percent greater than $135.00?

sergiy2304 [10]

Answer:

Its Option C

Step-by-step explanation:

The difference is 180 - 135 = $45

So it is 45 * 100 / 135

= 33.33% greater

4 0

2 years ago

Which of the following is the graph of the inequality y< -2x + 3?

zaharov [31]

Answer:

look at the photo

Step-by-step explanation:

Since the inequality is already written in y=mx+b, you can easily graph the line. +3 is the y intercept, so one point would be (0,3). -2 resembles the slope, so diagonally to the left, you would go up 2 and across 1. Also, since the sign is "<" you would graph with a dotted line. Then to know which side to shade, I always use the coordinate (0,0). I plug in 0 for both x and y to see if (0,0) satisfies the inequality. In this case it does, so you would shade on the side where (0,0) is located.

3 0

3 years ago