Answer: 14 gallons of gasoline.
Step-by-step explanation:
given data:
25(x + 3) = 424
where x is the number of gallon of gasoline needed to purchase.
Solution.
25(x + 3) = 424
first we open the bracket
25x + 75 = 424
collect like terms
25x = 424 – 75
25x = 349
divide both sides by 25
25x/25 = 349/25
x = 13.96
x = 14
mathew needs to get 14 gallons of gasoline.
To divide fractions, you can use Keep, change, flip:
Keep the 3/4, change the division sign to multiplication, and flip the 1/4 to 4/1
3/4 x 4/1
=12/4
=3
Answer:
1 5/36
Step-by-step explanation:
need a common denominator which would be 36
to get from 9 to 36 you multiply by 4 so 5 would be multiplied by 4 to get the fraction 20/36
do the same with 7/12 12x3 is 36 and 7x3 is 21 so 21/36
then add 20+21=41
put over 36 41/36
Find if you can lower it which you can:
41 is bigger than 36 by 5 so your ending fraction would be 1 and 5/36 because 5 and 36 don't have a common factor.
Answer:
45 cm
Step-by-step explanation:
Let x represent the length of the longer leg. Then the hypotenuse is x+8 and the shorter leg is x-17. The Pythagorean theorem gives the relation between these values as ...
(x +8)^2 = x^2 +(x -17)^2
x^2 +16x +64 = 2x^2 -34x +289 . . . . eliminate parentheses
0 = x^2 -50x +225 . . . . . put in standard form
0 = (x -45)(x -5) . . . . . . . . factor
Solutions to this equation are x=5 and x=45. The value of x must be greater than 17, so the useful solution is x=45.
The length of the longer leg of the triangle is 45 cm.
75:3 is equivalent to 25:1 or just 25