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3 years ago

The graph shows the number of laps that Jan runs as her coach times her.

Mathematics

2 answers:

Lena [83]3 years ago

6 0

The slope of the line is +2

this means that Jan runs 2 laps every 1 minute

lara31 [8.8K]3 years ago

5 0

Answer:

The slope of the line is 2. It means Jan runs 2 laps every minute.

Step-by-step explanation:

From the given graph it is noticed that the line passing through the points (2,4) and (5,10).

The slope of lines is

$m=\frac{y_2-y_1}{x_2-x_1}$

The slope of given line is

$m=\frac{10-4}{5-2}$

$m=\frac{6}{3}$

$m=2$

The slope of the line is 2.

In the given graph x axis represents the time in min and y-axis represents the laps run. The slope defines the number of laps in each minute.

The slope is 2, it means Jan runs 2 laps every minute.

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How to slice using substitution method

marishachu [46]

Answer:

x=3, y=8; (3,8)

Step-by-step explanation:

To use the substitution method, first solve for a variable.

2x+y=14

2x+y(-2x)=14(-2x)

y=14-2x

Now substitute y in the other equation with 14-2x

5x-2(14-2x)= - 1

Simplify by multiplying inside the parenthesis.

5x-28+4x= - 1

Combine the x values

9x-28= - 1

9x=27

x=3

Now substitute the x value in to solve for y

2(3)+y=14

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3 0

3 years ago

A juice stand in Montreal sells a quart of orange juice for 4.40CAN. If 1USD = 1.06CAN and 4 cups = 1 quart, how much will one c

Arte-miy333 [17]

Answer:

A cup of juice will cost 1.04 US dollars

Step-by-step explanation:

Here, we want to know the cost of one cup of juice in US dollars.

The cost of a quart of juice is Canada is 4.40CAN

now, since there are 4 cups in a quart, the cost of a cup of juice will be 4.40/4 = 1.10 CAN

Moving on;

We are told that 1 USD = 1.06 CAN ;

thus x usd = 1.10 CAN

1 * 1.10 = x * 1.06

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5 0

3 years ago

What is the midpoint of a segment with endpoints at(-4,-8) and (8, 10)?

vekshin1

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

$M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4,-8) and (8, 10)

The midpoint is

$M = ( \frac{ - 4 + 8}{2} , \: \frac{ - 8 + 10}{2} ) \\ = ( \frac{4}{2} , \frac{2}{2} )$

We have the final answer as

Hope this helps you

4 0

3 years ago

A fishing boat lies 200 m due south of a large tree on the shoreline and 300 m southwest of the dock. The shoreline runs East to

Lunna [17]

Tree...........................dock
.
.
.
.
.
boat

use Pythagorean Theorem to satisfy...a^2 + b^2 = c^2

200^2 + b^2 = 300^2
b^2 = 300^2 - 200^2
b^2 = 50000 (get square root of each)
b = 223.606 (rounded to the nearest tenth.... = 223.6

4 0

3 years ago

Read 2 more answers

Each day at lunchtime, at least 53 people buy food from a food truck. Using the variable pp, an inequality that represents that

Dahasolnce [82]

P ≥ 53.
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3 0

4 years ago