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2 years ago

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Three runners are training for a marathon. One day, they all run about miles,each at their own constant speed. This graph show h

ow long, in minutes, it takes Runner #1 to run d miles. What is the slope

1 answer:

solniwko [45]2 years ago

6 0

Answer:

Runner 1 has the fastest pace

Step-by-step explanation:

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Please help, I've been trying for an hour and I don't know how to set up this problem.

labwork [276]

Given ratio of the width of Francois's wife's vegetable garden to its length is 5:8.

Let l1,w1 be the length and width of Francois's wife's vegetable garden.

Then $\frac{w1}{l1} = \frac{5}{8}$

Given ratio of the width of the herb garden to its length is 3:5.

Let l2,w2 be the length and width of herb garden.

That is $\frac{w2}{l2} = \frac{3}{5}$

Given that length of the herb garden is same as the width of the vegetable garden.

That is l2=w1 let this common value be x.

So, first ratio is $\frac{x}{l1}=\frac{5}{8}$

l1 = $\frac{8x}{5}$

Second ratio is $\frac{w2}{x} = \frac{3}{5}$

w2 = $\frac{3x}{5}$

perimeter of vegetable garden = 2(l1+w1) = $2(\frac{8x}{5} +x) = 2*\frac{13x}{5} = \frac{26x}{5}$

Perimeter of herb garden = 2(l2+w2) = $2(x+\frac{3x}{5} ) = 2*\frac{8x}{5} =\frac{16x}{5}$

Given that francois has 252ft of fencing material.

That is perimeter of vegetable garden + perimeter of herb garden = 252

$\frac{26x}{5} +\frac{16x}{5} = 252$

$\frac{42x}{5} =252$

$x = \frac{252*5}{42} = 30 feet$

So, $l1 = \frac{8x}{5} = \frac{8*30}{5} = 48 feet$

And $w2 = \frac{3x}{5} = \frac{3*30}{5} = 18 feet$

So dimensions of vegetable garden are 48ft, 30ft.

And dimensions of herb garden are 30ft,18ft.

4 0

2 years ago

Complete the table <br> | 2 | 5 | | 28 |<br> |6.5| |39| |

Rudiy27

Oh okay so I don't know what you are referring to

5 0

3 years ago

Write an equation that represents the line going through the points (-4, 12) and (2, 15) HELPPP ASAPPP

monitta

First we need the slope, which we can get using (y2 - y1) / (x2 - x1)

Plug in our coordinates and we get

(15 - 12) / (2 - -4)

3 / 6

1 / 2

So, our slope is 1/2.

Then, we take 1/2 of one of our x values, say, 2, and we get 1. How do we go from 1 to 15? We add 14. So our y - intercept is 14.

All this plugged into y = mx + b gives us the equation y = 1/2 x + 14

5 0

2 years ago

Evan bought 6 batteries that cost $10 each and 6 batteries that cost $4 each the total cost was the same as he would have spent

Rudik [331]

The answer to this question is:

Evan bought 6 batteries that cost $10 each and 6 batteries that cost $4 each the total cost was the same as he would have spent buying 6 batteries that cost $14 each so (16×10)+(6×4) what property dose the equation illustrate"<span>Associative Property of Multiplication"

Hoped This Helped, Alicialopez721
Your Welcome :)</span>

4 0

2 years ago

All real numbers y that are less than -8 and at most 0

dalvyx [7]

That’s mathematically impossible.

If the set of numbers are less than -8, they cannot be less than or equal to 0.

Reading a graph wrong is a common mistake. A line pointing right means greater than.

If that’s the case, this problem is an “and” problem, in algebra. The answer is both; -8
or
-8

5 0

2 years ago