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Lana71 [14]
3 years ago
6

18 2/5 - n = -10 1/3

Mathematics
1 answer:
Wewaii [24]3 years ago
3 0

Answer:

The answer is n=28\frac{11}{15}.

Step-by-step explanation:

Given:

18 2/5 - n = -10 1/3.

Now, to solve the equation:

18\frac{2}{5} - n = -10 \frac{1}{3}

Converting the mixed fractions to improper:

⇒\frac{92}{5} -n=-\frac{31}{3}

Moving the numbers on one side and variable to the other:

⇒\frac{92}{5} +\frac{31}{3}=n

Now, solving the factions:

⇒\frac{92\times 3+31\times 5}{15}=n

⇒\frac{276+155}{15}=n

⇒\frac{431}{15}=n

⇒28\frac{11}{15}=n

Therefore, the answer is n=28\frac{11}{15}.

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Solve 2x + 5 = 12 please help ​
kherson [118]

Answer:

first method

subtract 5 from both side

2x + 5 -5 = 12 - 5

:. 2x = 7

:. X= 2

7

divide 2 from both side

X= 2x 7

2 2

:. X= 3.5

second method

2x = 12 - 5

2x = 7

X= 2 ÷ 7

:. X= 3.5

3 0
2 years ago
What is the answer to 16*40?
Leni [432]
16x40=640

I hope I helped

3 0
3 years ago
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HELP PLEASE it's my last one but I don't know how to do it..can somebody give me the answer and then explain how
xxTIMURxx [149]
Answer: 16,940 from interest.
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6 0
3 years ago
A press release describing the 1986 nonstop, round-the-world trip by the aircraft voyager including the following data:
adoni [48]

Answer:

a.) the average speed of the aircraft in miles per hour

115.76 miles/ hour

b.) the fuel consumption in miles per pound of fuel

(assume a density of 0.70 g/mL for the fuel.)

2.8 miles/Ib of fuel

Step-by-step explanation:

A press release describing the 1986 nonstop, round-the-world trip by the aircraft voyager including the following data:

flight distance: 25,012 miles

flight time: 9 days, 3 min., 44 seconds

fuel capacity: nearly 9000 lbs.

fuel remaining at the end of flight: 14 gal.

To the maximum number of significant figure permitted, calculate:

a.) the average speed of the aircraft in miles per hour

Step 1

We convert the time to hours

flight time: 9 days, 3 min., 44 seconds

1 day = 24 hours

9 days =

24 × 9

= 216 hours

60 mins = 1 hour

3 mins =

3/60 = 1/20 = 0.05 hours

1 hour = 60 minutes

1 minute = 60 seconds

1 hour = 60 × 60 = 3600 seconds

If 3600 seconds = 1 hour

44 seconds =

= 44/3600

= 0.0122222222 hours

Total number of hours spent = (216 + 0.05 + 0.0122222222) hours

= 216.06222222 hours

Speed = Distance/Time

= flight distance: 25,012 miles

Speed = 25,012 miles/ 216.06222222hours

= 115.76294895 miles/ hour

Approximately = 115.76 miles/ hour

b.) the fuel consumption in miles per pound of fuel

(assume a density of 0.70 g/mL for the fuel.)

Step 1

We determine how much fuel is used

We have 14 gallons of fuel left over

1 gallon = 3.785 litres

14 gallons =

Cross Multiply

14 gallons × 3.785 liters/1 gallon

= 52.9958 liters

Note that density of fuel =

0.70 g/ml

1 gram / millilitre = 1 kilogram / litre

Hence, 0.7g/ml = 0.7 kg/L

Hence,the mass of fuel left = 52.9958 liters * 0.7 = 37.09706kg

1 kilogram = 2.205 pounds

37.09706kg =

37.09706kg × 2.205 pounds

= 81.7990173 lbs

Since the full capacity = 9000 lbs

The fuel used = 9000 - 81.7990173 lbs

= 8918.2009827 lbs

Hence, fuel consumption is

Distance/ amount of fuel used

25012/8918.2009827 lbs = 2.8046015164 miles/lb of fuel

Approximately = 2.8 miles/Ib of fuel

7 0
3 years ago
Find the missing side length. Leave your answer in simplest radical form.
exis [7]

Answer:

4√3

Step-by-step explanation:

For isosoles triangles the legs are congruent

v = u

--------------------

using the pythagorean theorem

(4√6)² = v² + v²

(16 * 6) = 2v²

Divide both sides by 2

16 * 3 = v²

Take the square root of both sides

4√3 = v

6 0
3 years ago
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