Mathematics, 05.11.2019 00:31 carms12

For lionel to bike 820 meters, each wheel of his bicycle must do 400 rotations. let the number of rotations for each wheel be r and the distance, in meters, lionel bikes be d. which equation corresponds to this relationship?
a.
d = 0.49r
b.
d = 0.95r
c.
d = 1.05r
d.
d = 2.05r

Answers: 2

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Answers

Answer from: valeriekbueno

D. d = 2.05r

Step-by-step explanation:

Distance, d, is a function of the number of rotations, r.

The relationship between the distance and the number of rotation is a direct proportion.

A direct proportion is represented by an equation of the form:

y = kx

where k is the constant of proportionality.

Here you are asked to use d and r instead of y and x, so you have:

d = kr

You are given one point in the graph of this relation: (400, 820).

Replace r with 400 and d with 820 and solve for k.

820 = k * 400

820 = 400k

400k = 820

Divide both sides by 400.

k = 820/400

k = 2.05

Now that we know the constant of proportionality, k, we plug it into the equation to get:

d = 2.05r

Answer from: Quest

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

$m=y/x=1/3$

the equation of the dashed line is

$y=(1/3)x$

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

$y> (1/3)x$

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

$m=(4-0)/(0-4)=-1$

the equation of the solid line is

$y=-x+4$

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

$y\leq-x+4$

step 3

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

Answer from: Quest

you are playing an adventure game on your computer. you come across a troll who won't let you pass and there is no other way to get to the other side of the river except over the bridge he is guarding.

the troll is a nerd. he takes great delight in watching people struggle with his problems. very few get them. he only gives you one chance and then he changes the puzzle. you have to solve this one.

before you are four blocks. they are numbered 11,6, -7,21.

he tells that the answer he wants is minus and between -1 and - 2. you can use +, -, ×, ÷ ( and ) as many times as you like or no times at all. you don't like the way he's looking at you, but you need to cross the bridge. what do you do?

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