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alekssr [168]
3 years ago
15

If 57.75 is after a 30% taken off then what was the original price

Mathematics
1 answer:
Aneli [31]3 years ago
5 0

Answer: 40.425

Step-by-step explanation: multiply 57.75 by .3 to get 17.325 and then subtract that from the original amount

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Point R is located at (3, 2) and point S is located at (8, 15) .
Ulleksa [173]

Answer: (4, 4.6)

=======================================

The x coordinates of the points (3,2) and (8,15) are x = 3 and x = 8 respectively. The distance between these x values is 8-3 = 5 units. So we move 5 units to the right to go from the first point to the second point.

Imagine we had 5 blocks. If 1 of them is colored red and the other four are green, then the ratio of red to green is 1:4. We have 1 part red, 4 parts green. So 1+4 = 5 total. The "red block" in the metaphor mentioned basically tells us how far to move over the total distance 5. So we move 1/5th of the way along the horizontal distance of 5.

1/5 of 5 = (1/5)*5 = 1

So we move exactly one unit along the x direction. Therefore, we add 1 to to the x coordinate of (3,2) to end up with (3+1,2) = (4,2). This isn't the final answer, but it helps get us closer.

---------------

For the y coordinates of the given points we see that the y difference is 15-2 = 13. Multiply this by 1/5 to get

(1/5)*13 = 13/5 = 2.6

We follow effectively the same steps as before, but now we're dealing with the y values this time. So we move 2.6 units in the y direction (ie move 2.6 units up)

Add 2.6 onto the y value of that last point we found to get (4,2+2.6) = (4,4.6)

So that explains why the answer is (4, 4.6)

A visual might help so I've posted one below in the attached images. In that image, the location of point T is the final answer.

6 0
3 years ago
A researcher randomly assigns participants to complete a crossword puzzle with or without music. The time it takes to complete t
gogolik [260]

Answer:

The music group

Step-by-step explanation:

The experiment group is the group where something is being modified, so the music group is the one having their environment modified.

7 0
1 year ago
On a four day trip you have traveled 429.8 miles at the end of one day if you plan to drive this amount in each of the remaining
Luden [163]
429.8x 4 days=1,719.2miles driven on a four day trip.
8 0
3 years ago
Read 2 more answers
What is the value of tan(60°)? One-half StartRoot 3 EndRoot StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartFraction 1
Ratling [72]

Answer:

\sqrt3

Step-by-step explanation:

To find:

The value of tan60^\circ = ?

Solution:

Kindly consider the equilateral \triangle ABC as attached in the answer area.

Let the side of triangle = a units

Let us draw the perpendicular from vertex A to side BC.

It will divide the side BC in two equal parts.

i.e. BD = DC = \frac{a}{2}

Using Pythagorean Theorem in \triangle ABD:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}

Side AD = \frac{\sqrt3}{2}a

Using Trigonometric ratio:

tan\theta = \dfrac{Perpendicular}{Base}

tanB = \dfrac{AD}{BD}

Putting the values of AD and BD:

tan60^\circ=\dfrac{\frac{\sqrt3}{2}a}{\frac{1}{2}a}\\\Rightarrow tan60^\circ = \bold{\sqrt3}

5 0
2 years ago
Read 2 more answers
6 = 2 (y + 2)<br><br> find X <br> please
Elena-2011 [213]

Answer: y = 1

there no x, i think you meant y?

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6=2(y+2)

6=(2)(y)+(2)(2)(Distribute)

6=2y+4

Step 2: Flip the equation.

2y+4=6

Step 3: Subtract 4 from both sides.

2y+4−4=6−4

2y=2

Step 4: Divide both sides by 2.

2y over 2 = 2 over 2

6 0
3 years ago
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