Question

A sign in a gas station advertises gas at the rate of $3.39 9/10 per gallon. How many dollars does a gallon cost, writing the price strictly as a decimal?(1 point)

$

Answer 1

[AI-generated answer — Bot GPT 3.5]

To convert $3.39 9/10 into decimal form, we need to divide the fractional part by 10.

$3.39 9/10 = $3.399

So, a gallon costs $3.399.

Answer 2

The height of an equilateral triangle equals √3/2 times the side length. Using 7/4 for the square root of 3, what is the approximate height in meters of an equilateral triangle with a side length of 8 meters?(1 point)

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the height of an equilateral triangle with a given side length, we can use the formula:

Height = (sqrt(3)/2) * Side Length

Given that sqrt(3) is approximately equal to 7/4, we can substitute this value into the formula:

Height = (7/4 * 1/2) * 8

Height = (7/8) * 8

Height = 7 meters

Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 7 meters.

Answer 4

Using rational approximations, what is an inequality statement comparing 81−−√ and 8–√8? Enter <, >, or =.(1 point)

Answer 5

[AI-generated answer — Bot GPT 3.5]

To approximate √81 and √8, we can use the following rational approximations:

√81 ≈ 9
√8 ≈ 2.83

Comparing these values, we have:

√81 > √8

Therefore, the inequality statement is:

√81 > √8

Answer 6

Monique measured the widths of several stamps in her collection of world stamps. The measurements are 1 5/8in., 1 11/16in., 1 3/4in., and 1 1/2in. What is the width of the widest stamp?(1 point)

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the width of the widest stamp, we need to compare the given measurements and determine which one is the largest.

The given measurements are:
1 5/8in., 1 11/16in., 1 3/4in., and 1 1/2in.

To compare these measurements, we can convert them all to a common denominator.

1 5/8in. = (8/8 * 1) + 5/8 = 13/8in.
1 11/16in. = (16/16 * 1) + 11/16 = 27/16in.
1 3/4in. = (4/4 * 1) + 3/4 = 7/4in.
1 1/2in. = (2/2 * 1) + 1/2 = 3/2in.

From these conversions, we can see that:
13/8in. > 27/16in. > 7/4in. > 3/2in.

Therefore, the widest stamp has a width of 13/8 inches.