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:
if its answer for x its
Step-by-step explanation:
=4
=8
Answer:
5.83 units
Step-by-step explanation:
See attached picture. You can use the Pythagorean Theorem. I added some lines to show the legs of a right triangle. AB is the hypotenuse.

The correct answer is:
[D]: "
(-5
)x − 
" .
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Explanation:_________________________________________________________ " -1/2(-3/2x + 6x + 1) −<span> 3x " ;
= (-1/2 * -3/2 x) + (-1/2 * 6x) + (-1/2 * 1) </span>− <span>3x ;
= [ (-1 *-3) /(2*2)] x + (-3x) + (-1/2) ] </span>− <span>3x ;
= [ (3/4)x </span>− 3x − (1/2) ] −<span> 3x ;
= </span>(3/4)x − 3x − (1/2) − 3x ;
= ?? ; → Combine the "like terms" ;
→ "(3/4)x − 3x − 3x " = ?? ;
→ "(3/4)x − 3x = "(-9/4)x";
→ "(-9/4)x − 3x = "(-21/4)x " = " (-5

)x " ;
→ The answer is: "
(-5
)x − 
" ;
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→ which is:
___________________________________________________ → Answer choice: [D]: "
(-5
)x − 
" .
___________________________________________________