8x to the 5th power (3x)

impeded by the current the outing club took 4 hours and 24 minutes to paddle 11 km up the exeter river to their campsite last we

lilavasa [31]

Answer: if there had been no current, the rate would have been 4 km/hr.

The rate of the current is 1.5km/hr

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

Impeded by the current the outing club took 4 hours and 24 minutes(4 + 24/60 = 4.4 hours) to paddle 11 km up the exeter river to their campsite last weekend. This means that the total speed with which they travelled is (x - y) km/h

Distance = speed × time. Therefore

11 = 4.4(x - y)

Dividing through by 4.4, it becomes

2.5 = x - y - - - - - - - - - - -1

The next day the same current was with them and it took only 2 hours to make the return trip to campus. This means that the total speed with which they travelled is (x + y) km/h. The distance travelled is

11 = 2(x + y)

Dividing through by 2, it becomes

5.5 = x + y - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

8 = 2x

x = 8/2 = 4

Substituting x = 4 into equation 1, it becomes

2.5 = 4 - y

y = 4 - 2.5

y = 1.5

3 0

3 years ago

y=3x+3 y=−2x+3 how many solutions does the system have

allochka39001 [22]

Answer: One solution

Step-by-step explanation:

y = 3x + 3

y = -2x + 3

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To solve this, you need to understand a few things:

a) If two lines have the same slope but different y-intercepts, they are parallel when graphed and thus do not have any solutions

b) If two lines have the same slope and same y-intercepts, they are the same line when graphed and thus do not have infinitely many solutions

c) If two lines have different slopes (and/or y-intercepts), they have one solution

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These two lines have different slopes but the same y-intercept (condition c)

So they have one solution

5 0

2 years ago

Solve the problem:

stepan [7]

volume of the box is 675 cubic inches

A machine produces open boxes using square sheets of plastic.

It is a square sheet so length and width are same

Lets assume length as x so width is also x

The machine cuts equal-sized squares measuring 3 inches on a side from each corner of the sheet.

After turning up the sides the height of the box becomes 3 inches

We know the volume of a box formula

Volume = Length * width * height

We know length is x , width is x and height = 3

So V = x * x * 3

Given volume = 675 cubic inches

$675 = x * x * 3$

$675 = x^2* 3$

Divide by 3 on both sides

$225 = x^2$

Now we take square root on both sides

x = 15

the length of one side of the open box is 15 inches.

5 0

3 years ago

What is the value of the rational expression below when x is equal to 4

Zanzabum

$\displaystyle \frac{4+20}{4+4}= \frac{24}{8}=3$

3 0

3 years ago

Read 2 more answers

I jusy wanted to know what did you do to find out that it is 80%?

joja [24]

Answer:

fine out that what is 80%?

Step-by-step explanation:

the question is not complete

3 0

3 years ago

Read 2 more answers