Answer:A rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/12 . What is the number.
Step-by-step explanation:Let p/q (q ≠ 0) denote the rational number. Multiplying it by 5/2 gives (p/q)(5/2). Add 2/3 to the product and we get (p/q)(5/2) + 2/3 . The result is given to be -7/12.
∴ (p/q)(5/2) + 2/3 = -7/12 …………………………..……………………………………..(1)
Transposing 2/3 to right-hand-side and changing the sign to negative,
(p/q)(5/2) = -2/3 -7/12 = -(2/3 + 7/12) =- (2 x 4 + 7)/12 (Taking L.C.M.)
Or, (p/q)(5/2) = -(8+7)/12 = - 15/12
Multiplying both sides by 2/5,
(p/q)(5/2) x (2/5) = -15/12 . 2/5 = -(3x5)/(3x4) . 2/5 =- 5/4 .2/5
Since 2/5 is the multiplicative inverse of 5/2, 5/2 x 2/5 = 1 and we obtain
(p/q).1 = -1/4 . 2/1 = -1/2
⇒ p/q = -1/2 which is a negative rational number in which p = 1 and q = 2 ≠ 0 .
∴ the rational number = -1/2
Answer:
Orca Correct, Sea Star Wrong. Heart it if it was helpful :D
Step-by-step explanation:
11-4=7. Orca correct.
Sea star...11-4=7
Wrong its 7, not -7
Answer:
2 gallons
Step-by-step explanation:
4 quarts = 1 gallon
2 pints in a quart
2 cups in a pint
8 ounces in a cup
1/2 gal of orange juice
1/4 gal of milk
1 gal of chocolate milk
1/4 of lemonade
so in total you get 2 gallons! :)
Answer:
Step-by-step explanation:
The point slope form of a line is 
where 
. We write
Convert point slope form to slope intercept form by simplifying and rearranging.
