All categories

3 years ago

Team tool bella canoed 15 3/4 miles in 5 1/4 hours. What was their average rate of speed in mph

Mathematics

2 answers:

Alona [7]3 years ago

8 0

Answer: The average rate of speed is 3 miles per hour.

Step-by-step explanation: Given that the team tool bella canoed $15\dfrac{3}{4}$ miles in $5\dfrac{1}{4}$ hours. We are given to find the average rate of speed in miles per hour (mph).

We will be using unitary method to solve the given problem.

Now,

$15\dfrac{3}{4}=\dfrac{63}{4},~~~~~5\dfrac{1}{4}=\dfrac{21}{4}.$

According to the question,

In $\dfrac{21}{4}$ hours, number of miles canoed by the team is

$=\dfrac{63}{4}~\textup{miles}.$

Therefore, in 1 hour, number of miles canoed by the team is given by

$\dfrac{\frac{63}{4}}{\frac{21}{4}}=\dfrac{63}{4}\times \dfrac{4}{21}=3~\textup{miles}.$

Thus, the average rate of speed is 3 miles per hour.

yarga [219]3 years ago

6 0

Team Tool Bella's average rate was 3 miles per hour.

You might be interested in

Explain how you know if a system of equations has one solution, no solutions, or infinitely many solutions. Write your answers (

Nataliya [291]

Answer:

Written Below.

Step-by-step explanation:

A system of linear equations has one solution when the graphs intersect at a point. A system of linear equations has no solution when the graphs are parallel. A system of linear equations has infinite solutions when the graphs are the exact same line.

(This uses graphing.)

Sidenote: I hope this helps! :)

7 0

3 years ago

What is the area of the following trapezoid in square feet?

tangare [24]

Answer:

82.5 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h (b₁ + b₂)

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 7.5, b₁ = 7 and b₂ = 15 , then

A = $\frac{1}{2}$ × 7.5 × (7 + 15) = 0.5 × 7.5 × 22 = 82.5 ft²

4 0

2 years ago

Read 2 more answers

Simply 4 square root of 45

maksim [4K]

Answer : 12 square root 5

4 square root 45
4 square root 9 times square root 5
4 time 3 square root 5
12 square root 5

3 0

3 years ago

Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different

N76 [4]

Answer:

(a) As time increases, the amount of water in the pool increases.

11 gallons per minute

(b) 65 gallons

Step-by-step explanation:

From inspection of the table, we can see that as time increases, the amount of water in the pool increases.

We are told that Ann adds water at a constant rate. Therefore, this can be modeled as a linear function.

The rate at which the water is increasing is the rate of change (which is also the slope of a linear function).

Choose 2 ordered pairs from the table:

$\textsf{let}\:(x_1,y_1)=(8, 153)$

$\textsf{let}\:(x_2,y_2)=(12,197)$

Input these into the slope formula:

$\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11$

Therefore, the rate at which the water in the pool is increasing is:

11 gallons per minute

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

$y-y_1=m(x-x_1)$