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3 years ago

Wendy walked 8 miles in 2 hours. What was her averagerate in miles per hour?

Mathematics

2 answers:

ella [17]3 years ago

5 0

Answer:

4 miles per hour

Step-by-step explanation:

$speed = \frac{distance}{time}$

Thus,

speed = 8 miles / 2 hours =

4 miles per hour.

GrogVix [38]3 years ago

3 0

4 miles per hour would be the answer

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Hello , how to do 6(iii)?

Doss [256]

Answer:

$\displaystyle \frac{dS}{dt}=\frac{3}{50r}$

Step-by-step explanation:

Water is being pumped into an inflated rubber sphere at a constant rate of 0.03 cubic meters per second.

So, dV/dt = 0.03.

We want to show that dS/dt is directly proportional to 1/r.

In other words, we want to establish the relationship that dS/dt = k(1/r), where k is some constant.

First, the volume of a sphere V is given by:

$\displaystyle V=\frac{4}{3}\pi r^3$

Therefore:

$\displaystyle \frac{dV}{dt}=4\pi r^2\frac{dr}{dt}$

Next, the surface area of a sphere S is given by:

$\displaystyle S=4\pi r^2$

Therefore:

$\displaystyle \frac{dS}{dt}=8\pi r\frac{dr}{dt}$

We can divide both sides by 2:

$\displaystyle \frac{1}{2}\frac{dS}{dt}=4\pi r\frac{dr}{dt}$

We can substitute this into dV/dt. Rewriting:

$\displaystyle \frac{dV}{dt}=r\Big(4\pi r\frac{dr}{dt}\Big)$

So:

$\displaystyle \frac{dV}{dt}=\frac{1}{2}r\frac{dS}{dt}$

Since dV/dt = 0.03 or 3/100:

$\displaystyle \frac{3}{100}=\frac{1}{2}r\frac{dS}{dt}$

Therefore:

$\displaystyle \frac{dS}{dt}=\frac{3}{50r}=\frac{3}{50}\Big(\frac{1}{r}\Big)$

Where k = 3/50.

And we have shown that dS/dt is directly proportional to 1/r.

4 0

3 years ago

mina [271]

Answer:

Step-by-step explanation:

A. 2 meters to centimeters

1 m = 100 cm

$2 m = 2 \times 100 \\2 m = 200 cm = 2 \times 10^2$

B)108 centimeters to meters

100 cm =1 m

$1 cm = \frac{1}{100} m \\108 cm = \frac{108}{100}=108 \times 10^{-2} m$

C)2.49 meters to centimeters

1 m = 100 cm

$2.49 m = 2.49 \times 100 = \frac{249}{100} \times 100 = 249 cm$

D)50 centimeters to meters

100 cm = 1m

$1 cm = \frac{1}{100} m \\50 cm = \frac{50}{100}= 5 \times 10^{-1} m$

E)6.3 meters to centimeters

1 m = 100 cm

$6.3 m = 6.3 \times 100=\frac{63}{10} \times 100 = 630 cm$

F)7 centimeters to meters

100 cm = 1 m

$1 cm = \frac{1}{100} m\\\\7 cm = \frac{7}{100} = 7 \times 10^{-2} m$

a)4 meters to millimeters

1 m = 1000 mm

$4 m = 4000 = 4 \times 10^3 mm$

b)1.7 meters to millimeters

1 m = 1000 mm

$1.7 m = 1.7 \times 1000= \frac{17}{10} \times 1000=17 \times 10^2 mm$

3 0

3 years ago

How many solutions are there to the equation below? |x| = -31

ella [17]

Break down the problem into these two equations;

x = -31

-x = -31

Solve for the 1st equation; x = -31

x = -31

Solve for the 2nd equation; -x = -31

x = 31

Collect all solutions

x = ±31

Check the solution

When x = -31, the original equation; |x| = -31 does not hold true. Thus, we will drop x = -31 from the solution set.

Check the solution again;

When x = 31, the original equation |x| = -31 does not hold true as well. Thus we will drop x = 31 from the solution set.

Therefore,

<u>No solution exists to this equation. </u>

5 0

3 years ago

Read 2 more answers

A shopkeeper had a profit of ₹ 50 on Monday , a loss of ₹ 20 on Tuesday and of loss of

Oliga [24]

Answer:

Step-by-step explanation:

Remark

I can't use a symbol for the currency. I'll just get the answer in numbers. You can add the symbol.

Solution

First day: 50

Second day: - 20

Third day: - 18

50 - 20 - 18 = 12

4 0

3 years ago

Convert the following measurements into

Andre45 [30]

Answer:

1) 1076.4ft^2

2). 6561.68ft

3). 2.057kg

4). 1.25×10^-1

5). 6.58×10^1km

6). 278mg

6 0

3 years ago

Wendy walked 8 miles in 2 hours. What was her averagerate in miles per hour?​

Wendy walked 8 miles in 2 hours. What was her averagerate in miles per hour?