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rewona [7]
2 years ago
6

Adena, Julius, and Tia volunteered to read to children at the public library. Julius worked two hours less than Tia. Adena worke

d twice as many hours as Julius. Altogether they worked 58 hours. How many hours did Adena work?
Mathematics
1 answer:
mafiozo [28]2 years ago
4 0

Answer:

28 hours

Step-by-step explanation:

Adena, Julius, and Tia volunteered to read to children at the public library.

Let us represent, the number of hours worked by

Adena = x

Julius = y

Tia = z

Julius worked two hours less than Tia.

y = z - 2

z = y + 2

Adena worked twice as many hours as Julius.

x = 2y

Altogether they worked 58 hours.

x + y + z = 58.... Equation 1

We substitute 2y for x and y + 2 for z in Equation 1

2y + y + y + 2 = 58

4y + 2 = 58

Collect like terms

4y = 58 - 2

4y = 56

y = 56/4

y = 14

We are the find the number of hours Adena worked which is represented by x

Note that:

x = 2y

y = 14, hence,

x = 2 × 14

x = 28 hours

Therefore, the number of hours Adena worked is 28 hours

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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
How do i do these fractions by 1/2?
Svetlanka [38]
I need to see the directions
4 0
3 years ago
A. 48 square centimeters
NARA [144]

Answer:48

Step-by-step explanation:

8 0
2 years ago
(ar^b) ^4 = 16r^20 where a and b are positive integers work our a and b​
ivolga24 [154]

Answer:

a = 2

b = 5

Step-by-step explanation:

Given :

(ar^b)^4 = 16r^20 ; a and b are positive integers :

Opening the bracket :

a^4r^4b = 16r^20

a^4 = 16 - - - - - (1)

r^4b = r^20 - - - (2)

a^4 = 16

Take the 4th root of both sides :

(a^4)^(1/4) = 16^1/4

a = 2

From (2)

r^4b = r^20

4b = 20

Divide both sides by 4

4b/4 = 20/4

b = 5

Hence ;

a = 2

b = 5

6 0
2 years ago
Help me please please please​
Helen [10]
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2. 0.54
3. 0.1875
4. 0.25
5. 016
3 0
2 years ago
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