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

Answer 1
Answer: The answer is:  2  2/9 gal  ; or, write as: 2.222 gal
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Explanation: 
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(5/6) * (2  ⅔ ) = x ; Solve for "x"; which is our answer (in "gallons", or "gal").

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→ Write "2 ⅔ " as an improper fraction;

→ 2  ⅔  = [(3*2) + 2 ] / 3 = (6+2) / 3 =  8/3  ;
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→ Rewrite the problem, substituting "8/3" for "2  ⅔" ; 
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→  (5)/(6)  *  (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") ;
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→ and rewrite the equation as:
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→  (5)/(3)  *  (4)/(3)
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     →  (5)/(3)  *  (4)/(3)  = 
  
              ((5*4))/((3*3))  = 
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      →  (20)/(9)  gallons =

             → 20 ÷ 9 =
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                →    2  2/9 gal  ; or, write as: 2.222 gal
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Why do you start with the greater number when adding on a number line

Answers

I think i am incorrect about this; but here it goes anyways..

On a number line, there is negatives and positives. As such, if there's only negatives, you must start with the lower negative due that it is much more huger than the bottom negatives.

Now then, if there's positive and negatives on there, go for the positive. The negatives are lower than positives, and it'll always stay like that.

But! If it doesn't make any sense, take a look at this.

5-, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5.

See the pattern? -5 is the lowest one out of all them, due that the negatives that are currently raising, it is going into the positives. So you must add the greater number first.

Are my answer correct

Answers

Yep, this looks good!

isnt the answer for qn 3 c?

30 girls who tried out for the lacrosse team Euclid middle school 12 were selected of the 40 boys Who tried out 16 were selected are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls

Answers

Answer:

Yes, the ratio of the number of students on the team to the number of students trying out is same for both girls and boys.

               The ratio is: 2:5

Step-by-step explanation:

It is given that:

  • Out of 30 girls who tried out for the lacrosse team Euclid middle school 12 were selected.

This means that the ratio of the number of girls on the team to the number of girls trying out is:

   12/30=2/5

  • Also, 40 boys Who tried out 16 were selected .

This means that the ratio of the number of boys on the team to the number of boys trying out is:

     16/40=2/5          

Hence, we get that the ratio is same for boys and girls i.e. 2:5

12/30=2/5
16/40=2/5
The ratio is the same because they both simplify to 2/5

Adam works as a famous chef for 3 hours two days a week, and 4 hours three days a week. His weekly salary is $549. What is his hourly rate of pay (How much does he make per hour) ?

Answers

First, I multiplied 3 by 2 and 4 by 3. Then, I added the products together and got 18 hours of work per week. Next, I divided his weekly salary ( $549) by 15. The correct answer is $30.5. So, Adam makes $30.5 per hour.( If you think my answer was helpful, please choose it as the brainliest one) Thank you




ANSWER THE PHOTO PLEASE

Answers

blue 6 yellow 18. each one simplifies to 2/3

Danika has saved enough money to pay cash for a used car. She wants to buy a car that costs five thousand five hundred dollars before taxes. If she will be charged six percent sales tax, what is the total amount she will pay for the car?five thousand one hundred seventy dollars

five thousand eight hundred thirty dollars

five thousand eight hundred fifty-one dollars

six thousand one hundred dollars

Answers

this will be your answer to your problem 5194. this is how i got my answer. 


The car costs $4900 before tax.Tax is 6%.$4900 is 100% of the price of the car.Once she adds the 6% tax she will be paying 106% of the price of the car.106% of $4900 =1.06 * $4900 = 5194