Are these two quantities inversely proportional? a.) The time it takes to drive 100 miles and the average driving speed b.) The lengths of sides of a rectangle if the perimeter is fixed c.) The lengths of sides of a rectangle if the are is fixed

A, B & C are inversely proportional.

Step-by-step explanation:

For two quantities like x and y to be inversely proportional, they are to be written as;

y ∝ 1/x

This means that if x increases, then y decreases and if x decreases, then y increases.

A) The time it takes to drive 100 miles and the average driving speed.

Now, formula for time in motion is;

Time = Distance/speed

Let's denote time as t and speed as v.

Thus;

t = 100/v

From this relationship, it's clear that when v increases, then t decreases and vice versa. Thus it is inversely proportional.

B) The lengths of sides of a rectangle if the perimeter is fixed.

Perimeter of a rectangle is given as;

P = 2(L + W)

Where L is length and W is width.

Now, if the perimeter is fixed, it means an increase in the length will lead to a decrease in the width and vice versa. Thus, it is inversely proportional

C) The lengths of sides of a rectangle if the area is fixed.

If the sides are x & y.

Then;

A = xy

A/x = y

This means that;

1/x ∝ y.

Thus, the sides will be inversely proportional.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

step-by-step explanation:

most likely the answer is a.

alice wins if a total of 5 is rolled. finn wins if a total of 9 is rolled.