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Citrus2011 [14]
3 years ago
8

a boat is trying to cross a river that is 2 miles wide, by going straight across. The speed of the boat is 25 mph, but the curre

nt is pushing the boat downstream at 17 mph. How long will it take the boat to cross the river and how far downstream from the originl starting point will the boat end up

Mathematics
1 answer:
vodomira [7]3 years ago
4 0

Answer: It will take the boat 0.11 hour to cross the river

From the original starting point, the boat end up 1.85 miles away from that point.

Step-by-step explanation: Please find the attached file for the solution

You might be interested in
I walk each day to school. By what percentage would I need to increase my usual average speed in order for the journey to take 2
lesya692 [45]

Answer:

25%

Step-by-step explanation:

Let v, t be the current average speed and the time taken to reach the school respectively.

As distance = speed x time, so,

distance, d=vt...(i)

Let V be the new average speed in order to to take 20% less time than t.

So, time taken with speed V = t-20% of t = t- 0.2t= 0.8t

As distance is constant, so

d= V(0.8t)= 0.8Vt

hBy using equation (i), we have

0.8Vt = vt

0.8 V = v

V= v/0.8=1.25v

Therefore, the percentage increase in the average speed = \frac{V-v}{v}\times 100

=\frac{1.25v-v}{v}\times 100

=25%

Hence, the percentage increase in the average speed is 25%.

8 0
2 years ago
Find out six rational numbers lying between -4/8 and -3/4
rjkz [21]

Answer:

-41/80, -45/80, -48/80, -51/80, -55/80, -59/80

Step-by-step explanation:

-4/8, -3/4 = -4/8, -6/8

               = -40/80, -60/80

∴ Rational numbers between -40/80 and -60/80 = -41/80, -45/80, -48/80, -51/80, -55/80, -59/80.

4 0
2 years ago
The average score of students in Mr. Blake's science class was 73 with a standard deviation of 11, while the average score of st
Pani-rosa [81]

Answer:

Mr Blake's science class

Step-by-step explanation:

The standard deviation is a measure of variation.

It tells us how far each of the data set in the distribution are far from the mean of the distribution.

The average score of students in Mr. Blake's science class was 73 with a standard deviation of 11, while the average score of students in Mrs. Arnold's class was 75 with a standard deviation of 10.

Since 11>10, Mr Blake's science class is more variable than Mrs. Arnold's class.

3 0
2 years ago
If a = 38 ft, b = 15 ft, c = 19 ft, and d = 19 ft, what is the area of the living room and hallway together?
Anvisha [2.4K]

Answer:

The area of the living room and hallway together = 437ft²

Question:

The complete question related to the one above found at 'Geometry in class' is stated below:

Abbey is getting new carpet in her living room and hallway.

The following diagram shows the two together.

If = 38 ft, b = 15 ft, c = 19 ft, and d = 19 ft, what is the area of the living room and hallway together?

Find attached the diagram of the question.

Step-by-step explanation:

To determine the area of the living room and hallway together, we would break the diagram into two rectangles.

Calculate the area of each and sum the two outcomes together.

Find attached the diagrams of the solution.

Given: a = 38 ft, b = 15 ft, c = 19 ft, and d = 19 ft,

Area of rectangle = length × breadth

Area of rectangle 1 = a × (d-b)

= 38 × (19-15) = 38× 4

Area of rectangle 1 = 152ft²

Area of rectangle 2 = c × b

= 19 × 15 = 285

Area of rectangle 2 = 285ft²

The area of the living room and hallway together = Area of rectangle 1 + Area of rectangle 2

= 152ft² + 285ft²

The area of the living room and hallway together = 437ft²

5 0
3 years ago
Use the midpoint formula to find the midpoint between H(3, 9) and J(9, -2).
TiliK225 [7]

Hello!

The midpoint formula is basically an average of x and y.

It is also written as: (\frac{x_{1}+x_{2}} {2},\frac{y_{1}+ y_{2}} {2}).

With the formula above, we can substitute the given points into the equation, and simplify.

(\frac{3 +9}{2}, \frac{9+(-2)}{2}) = (\frac{12}{2}, \frac{7}{2}) = (6, 3.5)

Therefore, the midpoint between points H and J is choice D, (6, 3.5).

3 0
3 years ago
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