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artcher [175]
3 years ago
11

Melanie can run around the track 9 times in 28 minutes. At this rate, how many laps can she run in 1 hour and 15 minutes?

Mathematics
1 answer:
Dimas [21]3 years ago
7 0

Step-by-step explanation:

First step is to identify what the problem is asking for and what is given.

9 laps in 28 minutes

Searching for number of laps in 1 hour and 15 min.

1 hour + 15 min. = 75 minutes convert to minutes

9 laps / 28 minutes = x laps / 75 minutes create an equation

9/28 = x/75

9*75 = 28x cross multiply

675 = 28x

x = 675/28 = 24.12 simplify

Melanie can run 24 complete laps in 1 hour and 15 minutes.

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Can I pls get some help
Natali5045456 [20]

1,905.63 is the correct answer

5 0
2 years ago
during a 500-meter race, a runner ran the first 400 meters in 1 minute and 25 seconds.she finished the race i 2 minutes and 15 s
mart [117]

She ran the last 100 meters in 2:15 -1:25 = 0:50, so her average speed was

... (100 m)/(50 s) = 2.0 m/s

6 0
3 years ago
In one study, it was found that the correlation coefficient between two variables is -0.98. Which statement is true?
Vadim26 [7]

<u>Answer- </u>D. There is a strong negative association between the variables

<u>Solution-</u>

Properties of Correlation Coefficient

1-  Its value ranges between -1 and 1.

2- The greater the absolute value of correlation coefficient, the stronger is the linear relationship.

3- The weakest linear relationship is indicated by a correlation coefficient equal to 0.

4- A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.

5- A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.

As the given correlation coefficient is -0.98 (-ve), whose absolute value is 0.98 (closer to 1)

So there is a strong negative association between the variables.

3 0
2 years ago
Look at the image of the two hangers. Based on the image, what is one thing that must be true? What is one thing that could be t
Musya8 [376]

Answer:

One thing that must be true is that the objects will cause some leaning because their masses are unequal, judging from the volume that the objects can hold. One thing that could be true is that the triangle could be heavier than the square, leading to a leaning toward the left. The second pic cannot be true, for there are too much mass concentrated on one side to maintain equilibrium.

7 0
2 years ago
Solve x'=5t(sqrt(x)) x(0)=1
LekaFEV [45]

Answer:

2\sqrt{x}=\frac{5t^2}{2}+2

Step-by-step explanation:

Given: \frac{\mathrm{d} x}{\mathrm{d} t}=5t\sqrt{x}\,,\, x(0)=1

Solution:

A differential equation is said to be separable if it can be written separately as  functions of two variables.

Given equation is separable.

We can write this equation as follows:

\frac{dx}{\sqrt{x}}=5t\,dt

On integrating both sides, we get

\int \frac{dx}{\sqrt{x}}=\int 5t\,dt

Formulae Used:

\int \frac{1}{\sqrt{x}}=2\sqrt{x}\,\,,\,\,\int t\,dt=\frac{t^2}{2}

So, we get solution as 2\sqrt{x}=\frac{5t^2}{2}+C

Applying condition: x(0) = 1, we get C=2

Therefore, 2\sqrt{x}=\frac{5t^2}{2}+2

8 0
3 years ago
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