A horseback rider travels 2 miles in 10 minutes. At this speed how long does it take to travel 3 miles?

Answers

Answer 1

Answer: 2miles 3 miles
________ = ________
10 minutes x minutes

Cross multiply

2x=30
divide both sides by 2
x=15 minutes

Answer=15 minutes

Answer 2

Answer: 15 minutes is the answer

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Are the graphs of x-4y=2 and 4x+y=8 perpendicular?

Answers

Answer:

Step-by-step explanation:

x-4y=2

4y=x-2

y=1/4 x-1/2

slope=1/4

4x+y=8

y=-4x+8

its slope=-4

product of slopes=1/4×(-4)=-1

so lines are perpendicular.

How do you solve for r in the formula a=pi r squared

Answers

To solve for y, all you have to do is just separate r from all of the others and make it equal to the rest of the equation. So first it was, a=pi*r squared.
Divide by pi on each side,
a/pi=r^2
Take the square root of each side;
square root of (a/pi) =r
and that's all
Hope this helps.

In how many ways can you choose 2 side dishes out of 8

Answers

The first choice can be any one of the 8 side dishes.
For each of these . . .
The 2nd choice can be any one of the remaining 7.

Total number of ways to pick 2 out of 8 = (8 x 7) = 56 ways .

BUT ...

That doesn't mean you can get 56 different sets of 2 side dishes.

For each different pair, there are 2 ways to choose them . . .
(first A then B), and (first B then A). Either way, you wind up with (A and B).

So yes, there are 56 different 'WAYS' to choose 2 out of 8.
But there are only 28 different possible results, and 2 'ways'
to get each result.

I'm about 75% confident in my answer. Saying that, I mean that i'm not always right. I think it's 73

Write y= 2x2 +12x+14 in vertex form.

Answers

Answer:

y = 2 (x + 3)² − 4

Step-by-step explanation:

y = 2x² + 12x + 14

First, factor the leading coefficient from the first two terms:

y = 2 (x² + 6x) + 14

Complete the square. Take half of 6, square it, then add and subtract.

(6/2)² = 3² = 9

y = 2 (x² + 6x + 9 − 9) + 14

Simplify:

y = 2 (x² + 6x + 9) − 2(9) + 14

y = 2 (x² + 6x + 9) − 18 + 14

y = 2 (x² + 6x + 9) − 4

Factor the perfect square.

y = 2 (x + 3)² − 4

Telephone company charges a fixed monthly rate plus a rate per megabyte of data used. The company charges $120 for 100 megabytes of data and $95 for 50 megabytes of data. An equation can be written to show the relationship between the total megabytes of data used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph?Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 0.50
Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 2
Draw a graph that joins the points (120, 100) and (95, 50) and has a slope = 2
Draw a graph that joins the points (120, 100) and (95, 50) and has a slope = 0.50

Answers

Answer:

The correct answer is A. Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 0.50

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Total of megabytes of date used = x

Total monthly charges = y

x₁ = 50 Megabytes, x₂ = 100 Megabytes

y₁ = US$ 95, y₂ = US$ 120

2. Let's find out the best description of the steps to draw the graph and the slope.

Slope = (y₂ - y₁)/ (x ₂- x₁)

Slope = 120 - 95/ 100 - 50

Slope = 25/50 = 1/2 = 0.50

Remember that the coordinates of the points in the line are written this way:

(x, y) ⇒ (Total of megabytes of date used, Total monthly charges)

The correct answer is A. Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 0.50

Answer:

Step-by-step explanation:

100% on test

Explain how you would find the base area of a rectangle prism if you know the volume and the height

Answers

If the volume and the height are known, then we can find the base area of a rectangle prism by these steps:

Find the area of two sides (Length*Height)*2 sides

Find the area of adjacent sides (Width*Height)*2 sides

Find the area of ends (Length*Width)*2 ends

Add the three areas together to find the surface area

We know that,

Surface Area of Rectangular Prisms :

A rectangular prism has 2 ends and 4 sides. Opposite sides have the same area. The surface area is the sum of the areas of all six sides.

Here, we have,

to find the surface area of Rectangular Prisms:

Find the area of two sides (Length*Height)*2 sides

Find the area of adjacent sides (Width*Height)*2 sides

Find the area of ends (Length*Width)*2 ends

Add the three areas together to find the surface area

Example:

The surface area of a rectangular prism 5 cm long, 3 cm. wide and 2 cm. high = 5*2*2 + 3*2*2 + 5*3*2 = 20 + 12 + 30 = 62 cm^2.

learn more on surface area click :

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Surface Area of Rectangular Prisms
A rectangular prism has 2 ends and 4 sides. Opposite sides have the same area. The surface area is the sum of the areas of all six sides.

How to find the surface area of Rectangular Prisms:

Find the area of two sides (Length*Height)*2 sides
Find the area of adjacent sides (Width*Height)*2 sides
Find the area of ends (Length*Width)*2 ends
Add the three areas together to find the surface area
Example: The surface area of a rectangular prism 5 cm long, 3 cm. wide and 2 cm. high = 5*2*2 + 3*2*2 + 5*3*2 = 20 + 12 + 30 = 62 cm2.

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