Afamily has two cars. the first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas. during one particular week, the two cars went a combined total of 1900 miles, for a total gas consumption of 55 gallons. how many gallons were consumed by each of the two cars that week?
i need this

The first car consumed 25 gallons of fuel and the second car consumed 30 gallons of fuel.

Step-by-step explanation:

Let us assume that the first car consumed x gallons and the second car consumed y gallons that week.

So, x + y = 55 (1)

⇒ 30x + 30y = 1650 (2)

Now, the second car has a fuel efficiency of 30 miles per gallons and the first car has it of 40 miles per gallons.

So, if the two car combined went for 1900 miles then we can write

40x + 30y = 1900 (3)

Now, solving equations (2) and (3) we get,

40x - 30x = 1900 - 1650

⇒ 10x = 250

⇒ x = 25 gallons.

And from equation (1) we get,

y = 55 - x = 55 - 25 = 30 gallons.

Therefore, the first car consumed 25 gallons of fuel and the second car consumed 30 gallons of fuel. (Answer)

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

only 10/60 isn't equivalent

hope this : )