So 15 gallons of gas brought it from 1/8 full to 3/4 full.
Let's change 3/4 to the equivalent fraction 6/8 so that the denominators are the same. (3/4 = 6/8)
So 15 gallons of gas brought it from 1/8 to 6/8 Those 15 gallons must be 5/8 of the tank's capacity 6/8 - 1/8 = 5/8
So 15 is 5/8 of what number? (This will tell us the capacity of the whole tank)
15 = 5/8n
Divide both sides by 5/8 (remembering to multiply by the reciprocal 8/5)
15 ÷ 5/8 = 15 x 8/5 = 18
So the tank holds 24 gallons and (since it is 3/4 full or has 18 gallons) it needs 6 gallons to fill the tank.
Check - at first 1/8 full (1/8 of 24 = 3) So we started with 3 gallons. 15 gallons added to the 3 gallons is 18 gallons. Now the tank is 6/8 (3/4 full). The remaining 1/4 (2/8) of a tank is the difference between 18 and it's capacity (24 gallons) so it will need 6 gallons to fill it up..
Answer:
19.1 feet
Step-by-step explanation:
Length of the ladder = 20 feet
Distance from the ladder to the wall = 6 feet
Height of the ladder on the wall = x
x² + 6² = 20²
x² = 20² - 6²
x² = 364
x = 19.1 feet (Rounded to nearest tenth)
Answer:
$620
Step-by-step explanation:
20 x 10 = 200 + 420 = 620
hope this helped. :)
p.s. can I get brainliest?
Answer:
Step-by-step explanation:
Choosing a white pen from box a
Any multiple of (-2x+3y=18) would constitute an "other equation" forming a system with an infiinite number of solutions. The reason for that is that the two equations would be "dependent."
On the other hand, looking at the system
<span>-2x+ 3y= 18
</span><span>-2x+ 3y= 19
we see that there is no solution. Why? Because -2x + 3y cannot equal 18 and 19 at the same time. You'd have two non-intersecting, parallel lines.
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