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2 years ago

Eloise plays soccer 2 5/6 hours on Friday and 3 3/6 hours on Saturday. How many hours does Eloise play soccer altogether?

Mathematics

2 answers:

frez [133]2 years ago

6 0

Answer:

6 1/3

Step-by-step explanation:

5/6 +3/6= 8/6 8/6 = 1 2/6

3+2+1 =6

6 2/6 =6 1/3

bulgar [2K]2 years ago

4 0

The answer in the simplest form as a mixed number is 6 1/3

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The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy

vesna_86 [32]

Answer:

The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.

Step-by-step explanation:

The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy consumption at that time.

This means that the consumption after t years is given by the following differential equation:

$\frac{dC}{dt} = kC$

In which k is the growth rate.

The solution is, applying separation of variables:

$C(t) = C(0)e^{kt}$

In which C(0) is the initial consumption.

The town consumed 4.4 trillion British thermal units (BTUs) initially.

This means that $C(0) = 4.4$

$C(t) = C(0)e^{kt}$

$C(t) = 4.4e^{kt}$

5.5 trillion BTUs annually after 5 years.

This means that $C(5) = 5.5$ . We use this to find k. So

$C(t) = 4.4e^{kt}$

$5.5 = 4.4e^{5k}$

$e^{5k} = \frac{5.5}{4.4}$

$e^{5k} = 1.25$

$\ln{e^{5k}} = \ln{1.25}$

$5k = \ln{1.25}$

$k = \frac{\ln{1.25}}{5}$

$k = 0.0446$

$C(t) = 4.4e^{0.0446t}$

After 9 years?

This is C(9). So

$C(9) = 4.4e^{0.0446*9} = 6.57$

The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.

6 0

2 years ago

A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two

saul85 [17]

Answer:

I think the answer is right.isn't The rectangle width 8 and length 11 inches

3 0

2 years ago

Read 2 more answers

How much of the circle is shaded? Write your answer as a fraction in simplest form.

Alchen [17]

What I would do is find the common denominator for both fractions. The common denominator in this case would be 24 seeing as both 3 and 8 go into 24 evenly. 1/3 would equal to 8/24 by multiplying both 1 and 3 by 8 and 3/8 would equal to 9/24 by multiplying both 3 and 8 by 3. Add 8 and 9 from the fractions 8/24 and 9/24 which would give you 17/24. To find the remaining section of the circle, subtract 17 from 24 which would give you 7/24. 7/24 doesn't reduce any further so your answer would be 7/24 of the circle is shaded.

4 0

2 years ago

Read 2 more answers

Two cones are similar. The surface area of the larger cone is 65π square inches. The surface area of the smaller cone is 41.6π s

devlian [24]

Answer:

8 inches

Step-by-step explanation:

The surface area of a cone (without the base) is given by:

Surface area = pi*r*s

Where r is the base radius and s is the slant height.

The smaller cone has a surface area of 41.6pi in2 and a radius of 6.4 inches, so the slant height is:

41.6pi = pi*r*s

41.6 = 6.4s

s = 6.5 in

If the cones are similar, the radius and the slant height increase in the same proportion, so we have that:

r'/s' = r/s = 6.4/6.5

s' = r'*6.5/6.4

So for the larger cone, we have:

65pi = pi*r'*s'

65 = r'*r'*6.5/6.4

r'^2 = 64

r' = 8 inches

5 0

2 years ago

Read 2 more answers

A car tire with a radius of 16inches is turning at a rate of 120 revolutions per minute. Find the exact linear speed of the tire

anygoal [31]

Answer:

The speed of the tyre of the car is 1002.24 feet per minute .

Step-by-step explanation:

Given as :

The radius of the car wheel = r = 16 inches

Since 12 inches = 1 feet

So, 16 inches = $\frac{1}{12}$ ×16 = 1.33 feet

The number of revolution of the wheel = 120 revolution per minute

Let The speed of the wheel = s feet per minute

The circumference of wheel = 2 × $\pi$ × radius

where $\pi$ = 3.14

or, circumference = 2 × 3.14 × 1.33

Or, Circumference = 8.352 feet

Now , Speed = circumference of wheel × number of revolution

or, Speed = 8.352 feet × 120 revolution per minute

∴ Speed = 1002.24 feet per minute

Hence The speed of the tyre of the car is 1002.24 feet per minute . Answer

4 0

2 years ago