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Anni [7]
1 year ago
5

A bucket contains 11 2/3 gallons of water and 5/6 is full. How many gallons of water would be in a full bucket? Write a multipli

cation and division equation to represent the situation.
Mathematics
2 answers:
SVEN [57.7K]1 year ago
8 0

Answer:  14 gallons of water

Step-by-step explanation:

A bucket contains 11 2/3 gallons of water and 5/6 full

to fill the bucket will be 6/6 0r 1 full and contain ? gallons

using proportion

1 / (5/6) * 11 2/3 gallons of water

6/5 * 1 * 11 2/3 = 14 gallons of water

vagabundo [1.1K]1 year ago
7 0

Answer:

14 gallons

Step-by-step explanation:

If 11 2/3 gallons represents 5/6 full bucket then we can equate that

x=1 full

x=\frac {11 2/3}{5/6}=14

Therefore, the bucket requires 14 gallons

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A moving company charges $0.60 per pound for a move from New York to Florida. A family estimates that their belongings weigh abo
HACTEHA [7]
The answer would be - 4,800
3 0
1 year ago
Solve the following multiplication and division problems. a. 8 T. 1,398 lb. 14 oz. × 6 b. 349 lb. 6 oz. ÷ 130 c. 6 T. 294 lb. ÷
tester [92]

Answer:  a) 278382 oz

b) 43 oz

c) 64.1 oz

Step-by-step explanation:

a) 8 T. 1,398 lb. 14 oz. × 6

First we need to change it in 'oz'.

As we know that

1\ ton=32000\ oz\\\\1\ lb=16\ oz

so, it becomes,

8\times 32000+1398\times 16+14\ oz\\\\=278382\ oz

8 T. 1,398 lb. 14 oz. × 6 becomes

278382\times 6\\\\=1670292\ oz

b) 349 lb. 6 oz. ÷ 130

It becomes,

349\times 16+6\ oz\\\\=5590\ oz\\\\\text{ at last it becomes}\\\\=\frac{5590}{130}\\\\=43\ oz

c) 6 T. 294 lb. ÷ 3,071

First it becomes,

6\times 32000+294\times 16\ oz\\\\=196704\ oz

At last it becomes,

\frac{196704}{3071}\\\\=64.1\ oz

Hence, a) 278382 oz

b) 43 oz

c) 64.1 oz

6 0
2 years ago
Read 2 more answers
The $120 repair bill included $36 for parts and rest for labor. What percent of the bill was for labor?​
Bogdan [553]

Answer:

30%

Step-by-step explanation:

3 0
2 years ago
Tony addison obtained a 20-year, $45,000 mortgage loan from united savings with an interest rate of 8.5%. his monthly payment is
Anna007 [38]

As given,  

Loan amount is = $45000

Rate of interest = 8.5%

So, Tony's mortgage will attract an interest of:

45000\times\frac{8.5}{100} = $3825  (this is yearly)

And for 1st month it will be = \frac{3825}{12}=  $318.75  

As given, the first month's payment is $390.60 and this covers the interest Additional amount ($390.60 - $318.75 = $71.85) is a payment against the principle.

Hence, the new principle after the 1st month is $71.85 less than $45000

= 45000-71.85 = $44928.15

Hence, the last option $44928.15 is the correct answer.

4 0
1 year ago
What is the length of the hypotenuse of the triangle below?
liberstina [14]

Answer:

\boxed{B. Hypotenuse = 10}

Step-by-step explanation:

By applying <em>Pythagoras theorem</em> we can find hypotenuse of a right angle triangle.

Side of right angle triangle (a) = 5√2 cm

Side of right angle triangle (b) = 5√2 cm

Hypotenuse² = a² × b²

{Hypotenuse}^{2}  =  {(5 \sqrt{2} )}^{2}  \times  {(5 \sqrt{2} )}^{2}  \\  \\  {Hypotenuse}^{2}  = (25 \times 2) + (25 \times 2)\\  \\  {Hypotenuse}^{2}  = 50 + 50\\  \\ {Hypotenuse}^{2}  = 100\\  \\   {Hypotenuse}^{ \cancel{2}}  =  {10}^{ \cancel{2}}  \\  \\   Hypotenuse = 10

7 0
1 year ago
Read 2 more answers
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