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ankoles [38]
1 year ago
13

On a bike trip across the United States, Ronney notes that he covers about 190 miles every 4 days. If he continues at this rate,

use a ratio table to determine about how many miles he could bike in 6 days
Mathematics
1 answer:
Westkost [7]1 year ago
4 0

Using a ratio table to determine the number of miles that Ronney could bike in 6 days as <u>285 miles</u> is as follows:

<h3>Ratio Table:</h3>

Day                 Miles Biked

Day One            47.5

Day Two           95.0

Day Three       142.5

Day Four         190.0

Day Five         237.5

Day Six          285.0

<h3>What is a ratio table?</h3>

A ratio table is a structured list of equivalent (equal value) ratios that explain the relationship between the ratios and the numbers.

<h3>Data and Calculations:</h3>

Day                 Miles Biked

Day One            47.5 (190/4)

Day Two           95.0 (190/4 x 2)

Day Three       142.5 (190/4 x 3)

Day Four         190.0 (190/4 x 4)

Day Five         237.5 (190/4 x 5)

Day Six           285.0 (190/4 x 6)

Thus, in six days, Ronney biked <u>285 miles</u> based on the ratio table.

Learn more about ratio tables at brainly.com/question/27817533

#SPJ1

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snow_tiger [21]

Given:

The function is:

f(x)=4x^2-25x-21

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Solution:

Domain is the set of input values.

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f(x)=4x^2-25x-21

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3 0
2 years ago
What is the answer ?
kifflom [539]
The system of inequalities is the following:

i) <span>y ≤ –0.75x
ii)</span><span>y ≤ 3x – 2

since </span>0.75= \frac{75}{100}= \frac{3}{4}, we can write the system again as 

i) y \leq - \frac{3}{4}x
ii) y  \leq 3x-2

Whenever we are asked to sketch the solution of a system of linear  inequalities, we:

1. Draw the lines
2. Color the regions of the inequalities.
3. The solution is the region colored twice.


A.

to draw the line y =- \frac{3}{4}x

consider the points: (-4, 1) and (0, 0), or any 2 other points (x,y) for which y =- \frac{3}{4}x hold.

since we have an "smaller or equal to" inequality, the line is a solid line (not dashed, or dotted).

In order to find out which region of the line to color, consider a point not on the line, for example P(1, 1), which is clearly in the upper region of the line.

For (x, y)=(1, 1) the inequality y  \leq - \frac{3}{4}x, does not hold because 

1 \leq - \frac{3}{4}*1= -\frac{3}{4} is not true,

this means that the solution is the region of the line not containing (1, 1), as shown in picture 1.


B.
similarly, to draw the solution of inequality ii) y ≤ 3x – 2, 

we first draw the line y=3x-2, using the points (0, -2) and (2, 4), or any other 2 points (x,y) for which y=3x-2 holds.

after we draw the line, we can check the point P(1, 7) which clearly is above the line y=3x-2.

for (x, y) = (1, 7), the inequality y ≤ 3x – 2 does not hold

because 7 is not ≤ 3*1-2=1, so the region we color is the one not containing P(1, 7), as shown in picture 2.


The solution of the system is the region colored with both colors, the solid lines included. Check picture 3.

the lines intersect at (0.533, -0.4) because:

–0.75x=3x-2
-0.75x-3x=-2
-3.75x=-2, that is x= -2/(-3.75)=0.533

for x=0.533, y=3x-2=3(0.533)-2=-0.4

Answer: Picture 3, the half-lines included. So the graph is in the 3rd and 4th Quadrants

8 0
3 years ago
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