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spayn [35]
3 years ago
14

What is the perfect learning environment

Mathematics
1 answer:
aivan3 [116]3 years ago
8 0

Little to no Distractions. This question is very subjective thought as many people have different preferences when it comes to a learning environment that works best for them.

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I will give brainlist to the most helpful answer to my question
sdas [7]

Answer:

See below

Step-by-step explanation:

Both horses travel 0 miles in 0 minutes. We can see this on the graph where both lines start at the 0 in the bottom left corner. For the purpose of writing the equations this also shows us that the y-intercept is 0. In a slope-intercept equation, y=mx+b, that number is the b. b is zero in both equations, so we don't need to write anything for that.

For horse A, we can see on the graph that at 4 minutes, horse A has traveled 1 mile. Also, confirming this rate, at 8 minutes, it went 2 miles. This will help us find the rate. The rate will be the number we fill in for the m in the y=mx+b equation. Horse A goes 1mile every 4 minutes. That is a rate of 1/4 miles per minute. So Horse A's equation will be

y = (1/4)x You can make it more *intuitive* possibly by using m for miles and t for time instead, like this:

m = (1/4)t

Horse B is a little bit faster, and you can see this bc the line is a little bit steeper. It goes 2 miles in 5 minutes (confirm you can see it goes 4 miles in 10 minutes)

So Horse B's equation is

y = (2/5)x

or miles = (2/5)time

Mathematically, the equations are the same whether you use x,y or m,t

If Horse A runs for 12 minutes then it will run

miles = (1/4)minutes

miles = (1/4)(12)

miles = 3

If Horse B runs for 12 minutes, then it will run

miles = (2/5)minutes

miles = (2/5)12

miles = 4.8

7 0
2 years ago
Triangular numbers can be represented with equilateral triangles formed by dots the first fire triangle numbers are 1 3 6 10 and
zhannawk [14.2K]

Answer:

There's no direct variation

Step-by-step explanation:

Required

Determine if there's a direct variation between the number and its position

I'll start by giving an illustration of how the triangle is represented using stars (*)

*

**

***

****

*****

Represent the line number with y and it's position with x

On line 1:

y = 1, x = 1

On line 2:

y = 2, x = 3

On line 3:

y = 3, x = 6

On line 4:

y = 4, x = 10

On line 5:

y = 5, x = 15

Note that, x is gotten by calculating the accumulated number of stars while y is the line number.

Direct variation is represented by

y = kx

Or

kx = y

Where k is the constant of variation

For line 1:

Substitute 1 for y and 1 for x

k * 1 = 1

k = 1

For line 2:

Substitute 2 for y and 3 for x

k * 3 = 2

Divide through by 3

k = ⅔

Note that the values of k in both computations differ.

This implies that there's no direct variation and there's no need to check further.

3 0
2 years ago
Find the area of an equilateral triangle with a side of 6 inches.
sweet-ann [11.9K]

Answer:

9\sqrt{3} in²

Step-by-step explanation:

The area (A) of an equilateral triangle is calculated as

A = \frac{s^2\sqrt{3} }{4} ( s is the length of a side )

Here s = 6, thus

A = \frac{6^2\sqrt{3} }{4} = \frac{36\sqrt{3} }{4} = 9\sqrt{3} in²

6 0
3 years ago
In a certain class, the ratio of girls to boys was 5 to 4. If there are 80 boys in the class, how many students are there in all
andriy [413]

there are 180 students in the entire class


5 0
2 years ago
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A water desalination plant can produce ×2 x 10^6 gallons of water in one day. How many gallons can it produce in 77 days
wariber [46]

Answer:

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8 0
3 years ago
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