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kotykmax [81]
3 years ago
14

If your car gets 35 miles per​ gallon, how much does it cost to drive 400 miles when gasoline costs ​$3.30 per​ gallon?

Mathematics
1 answer:
Arlecino [84]3 years ago
7 0
To solve his equation start by finding how many gallons of gas you need to purchase for the total trip.
Set up an expression that divides the total distance of the trip by the miles received per gallon.
This gives you:
400 / 35

Divide to get 11.43 gallons.

To find the cost of this, multiply the total number of gallons needed to cover the trip by the cost of each gallon.
Set this up in another expression.
This results in:
11.43 x 3.30

Multiply the values to find the total cost.
This leaves you with:
37.72

So, the total cost for gas for a 400 mile trip on 35 miles per gallon is $37.72.

I hope this is correct and helps you! :)
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In math class, James, Hadley, and Gwen were challenged to go stand on the field in a random location and find the distance betwe
o-na [289]

The interior angles of the triangle of 61°, 73°, and 46°, and the distance from James to Hadley of 15 meters gives;

  • Gwen to Hadley ≈ 18.24 meters

  • Gwen to James ≈ 19.94 meters

<h3>How can the distances between the students be found?</h3>

The given angles are;

At James's location; 61°

At Hadley's location; 73°

At Gwen's location; 46°

The distance between James and Hadley = 15 meters

The angle facing the distance between James and Hadley is the angle at Gwen, 46°

The angle facing the distance between Gwen and James is the angle at Hadley, 73°

The angle facing the distance between Gwen and Hadley is the angle at James, 61°

The angle that faces the 15 meter length is the angle at Gwen, which is 46°

By the rule of sines, the distance from Gwen to Hadley is therefore;

\frac{15}{sin( 46 ^  \circ)}  =  \frac{Gwen  \: to \:  Hadley}{sin( 61 ^  \circ)}

Which gives;

Gwen  \: to \:  Hadley= \frac{15 \times sin( 61 ^  \circ) }{sin( 46 ^  \circ)} \approx 18.24

  • Gwen to Hadley ≈ 18.24 meters

Similarly, we have;

\frac{15}{sin( 46 ^  \circ}  =  \frac{Gwen  \: to \:  James}{sin( 73 ^  \circ)}

Therefore;

Gwen  \: to \:  James = \frac{15 \times sin( 73 ^  \circ) }{sin(46 ^  \circ)}  \approx 19.94

  • Gwen to James ≈ 19.94 meters

Learn more about the rule of sines here:

brainly.com/question/4372174

#SPJ1

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