12/4 = 12 1/4 True or False

1

Alona [7]

The speed of current will be "4.5 mph" and the rate Pratap can row in still water will be "8.5 mph".

What does "speed" mean in mathematics?

Speed is what it means. the speed of a change in an object's location in any direction.
Speed is defined as the ratio of distance to the amount of time it took to cover that distance.
Speed is a scalar quantity because it just has a direction and no magnitude.

Given:

Distance "26 miles" in time "2 hours".

Let,

Speed of water = y

Pratap speed when rowing in still water = x

As we know,

Speed = distance/time

then,

x + y = 26/2

x + y = 13

x = 13 - y

In return trip took him time "6.5 hours",

x - y = 26/6.5

x - y = 4

By substituting the value of "x", we get

13 - y - y = 4

13 - 2y = 4

2y = 13 - 4

2y = 9

y = 9/4 = 4.5 mph (Rate of the current)

By substituting the value of "y", we get

x = 13 - a

x = 13 - 4. 5 = 8.5 mph (Pratap can row in still water)

Learn more about speed

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4 0

1 year ago

Pat wants to measure the length of a table. She'll use a measuring tape. Which units should Pat use to express the length?

Alexxx [7]

Answer:

centimeters

Step-by-step explanation:

6 0

2 years ago

In 4 games, Larry averaged 23 PPG (points per game). How many points does he need to score in the last game to have an average o

ivann1987 [24]

Larry needs to score 33 points in the last game to have an average of 25 PPG.

To find the answer, we can solve the equation:

$\frac{(4)23+p}{5}=25$

(where p is how many points he needs to score in the last game)

To find the mean of a group of numbers, you add them all up and divide the total by the number of numbers there are. Since Larry averaged 23 PPG in 4 games, we can multiply 23 by 4 to get the total of the first 4 games from the data. Then, we find p, which we will add to get our final total. Then, you divide by the 5 games.

$\frac{(4)23+p}{5}=25$
$\frac{92+p}{5}=25$
${92+p}=125$
$p=33$

First, I simplified 4 x 23 to get 92. Then, I multiplied each side by 5 to get rid of the denominator. Finally, I subtracted 92 from each side to isolate p, and found that p = 33.

8 0

3 years ago

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2. CO DEEPER) Franco played computer chess for 3 hours. Lian played

Galina-37 [17]

Answer: Franco played for 30 minutes longer than Lain.

Step-by-step explanation:

3 times 60= 180

180-150=30 minutes

4 0

3 years ago

Complete the coordinate proof of the theorem.

mojhsa [17]

C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)

the length of AC can be calculated with the theorem of Pythagoras:

length AB = a - 0 = a
length BC = b - 0 = b

seeing as the length of AC is the longest, it can be calculated by the following formula:

It is called "Pythagoras' Theorem" and can be written in one short equation:

a^2 + b^2 = c^2 (^ means to the power of by the way)

in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:

a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)

Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!

3 0

3 years ago

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