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? 

9 answers

The price given is $3.39 9/10 per gallon. To convert this to a decimal, we need to interpret the fractional part, which is \( \frac{9}{10} \).

  1. The whole dollar amount is \( 3.39 \).
  2. The fractional part \( \frac{9}{10} \) is equal to \( 0.9 \).

Now, we can combine these two parts:

\[ 3.39 + 0.9 = 3.39 + 0.90 = 4.29 \]

Thus, the total cost of a gallon of gas, expressed strictly as a decimal, is:

\[ \boxed{3.399} \]

Could you write that a bot simpler?

Sure! The price of gas is $3.39 9/10.

To convert that:

  1. The "$3.39" is whole dollars.
  2. The "9/10" means 0.9.

Now, combine them:

  • \( 3.39 + 0.9 = 3.39 + 0.90 = 3.399 \)

So, the price of a gallon of gas in decimal form is:

\[ \boxed{3.399} \]

No, just give me the answer only pls

$3.399

The height of an equilateral triangle equals 3√2
3
2
times the side length. Using 74
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)

The height \( h \) of an equilateral triangle can be calculated using the formula:

\[ h = \frac{\sqrt{3}}{2} \times s \]

where \( s \) is the side length.

Given \( s = 8 \) meters and using \( \sqrt{3} \approx 1.732 \) (since \( 74/100 = 0.74 \), we interpret your mention of 74 as a rough decimal approximation):

\[ h = \frac{1.732}{2} \times 8 \]

First, calculate \( \frac{1.732}{2} \):

\[ \frac{1.732}{2} \approx 0.866 \]

Now multiplying by the side length:

\[ h \approx 0.866 \times 8 \approx 6.928 \]

So the approximate height of the equilateral triangle with a side length of 8 meters is:

\[ \boxed{6.93} \text{ meters} \]

The diagonal of a square equals 2–√
2
times the side length. Using 1.4 for the square root of 2, what is the approximate length in feet from one corner to an opposite corner of a square park that is 700 feet on a side?

To find the length of the diagonal \( d \) of a square, we can use the formula:

\[ d = \sqrt{2} \times s \]

where \( s \) is the side length of the square. Given that the diagonal equals \( 2 - \sqrt{2} \times s \) and we will use \( \sqrt{2} \approx 1.4 \), we first need to calculate \( 2 - \sqrt{2} \):

\[ 2 - \sqrt{2} \approx 2 - 1.4 = 0.6 \]

Now, we can substitute the side length \( s = 700 \) feet into the diagonal formula:

\[ d \approx 0.6 \times 700 \]

Calculating this gives:

\[ d \approx 420 \text{ feet} \]

Thus, the approximate length from one corner to the opposite corner of the square park is:

\[ \boxed{420} \text{ feet} \]