Mathematics, 26.09.2019 21:30 maddyf7253

Let x=the amount of water in the bucket. a bucket holds 2 2/3 gallons of water. the bucket is 5/6 full. how much water is in the bucket?

Answers: 1

Show answers

Answers

The answer is: 2 2/9 gal ; or, write as: 2.222 gal
________________________________________________
Explanation:
________________________________________________
(5/6) * (2 ⅔ ) = x ; Solve for "x"; which is our answer (in "gallons", or "gal").

_________________________________________________
→ Write "2 ⅔ " as an improper fraction;

→ 2 ⅔ = [(3*2) + 2 ] / 3 = (6+2) / 3 = 8/3 ;
________________________________________
→ Rewrite the problem, substituting "8/3" for "2 ⅔" ;
_______________________________________________
→ $\frac{5}{6}$ * $\frac{8}{3}$ ;

→ The "6" and the "8" can be reduced; since both the "6" and the "8" can be divided by "2"; → So change the "6" to a "3" ; (since "6÷2 = 3");
→ and change the "8" to a "4"; (since "8÷2 = 4") ;
_______________________________________________
→ and rewrite the equation as:
_____________________________________
→ $\frac{5}{3}$ * $\frac{4}{3}$ ;
______________________________________________
→ $\frac{5}{3}$ * $\frac{4}{3}$ =

$\frac{(5*4)}{(3*3)}$ =
___________________________________________
→ $\frac{20}{9}$ gallons =

→ 20 ÷ 9 =
_________________________________________

→ 2 2/9 gal ; or, write as: 2.222 gal
_______________________________________________

Answer from: Quest

mr. flanders’ class sold 47 doughnuts and mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

$\left\{\begin{array}{l}x+y=85\\1.35x+1.08y=104.49\end{array}\right.\rightarrow \left\{\begin{array}{l}x=85-y\\1.35(85-y)+1.08y=104.49\end{array}\right.$

$114.75-1.35y+1.08y=104.49,\\ \\114.75-104.49=1.35y-1.08y,\\ \\10.26=0.27y,\\ \\y=38,\\ \\x=85-38=47.$

Answer from: Quest

Where is the qeustion

Another question on Mathematics

Mathematics, 21.06.2019 14:50

About 60% of the normal humanbeing's body weight is composed ofwater. how much of a 125 poundperson is water weight? f 72 pounds h 76 poundsg 75 pounds i 80 pounds

Answers: 3

Answer

Mathematics, 21.06.2019 18:40

Christina can paint 420 square feet in 105 minutes. which unit rate describes the scenario?

Answers: 1

Answer

Mathematics, 21.06.2019 20:00

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. x^2 - 4x - 5 = 0

Answers: 2

Answer

Mathematics, 21.06.2019 21:30

If value of cos330° is √3/2 then find tan165°.

Answers: 1

Answer

You know the right answer?

Let x=the amount of water in the bucket. a bucket holds 2 2/3 gallons of water. the bucket is 5/6 fu...

Questions