Darcy read 1 and 1⁄2 chapters in her textbook in 1⁄2 an hour. How many chapters did she read per hour?

BARSIC [14]

Answer:

a) Number of calories burned in $x$ hours of cycling $600x$ and Number of calories burned in $y$ hours of Swimming is $400y$ .

b)The equation in general form that relates number of hours of cycling and swimming carols needs to perform to loose 5 pounds is $6x+4y=160$ .

Step-by-step explanation:

Given:

5 pounds of body fat = 16000 calories

Number of calories burn in 1 hour of cycling = 600

Number of calories burn in 1 hour of swimming = 400

Part a:

We need to find number of calories will Carol burn in $x$ hours of cycling and number of calories will Carol burn in $y$ hours of swimming.

Solution:

Now we know that;

1 hr of cycling = 600 calories burned

$x$ hr of cycling = Number of calories burned in $x$ hours of cycling.

By using Unitary method we get;

Number of calories burned in $x$ hours of cycling = $600x$

Also we know that;

1 hr of swimming= 400 calories burned

$y$ hr of swimming = Number of calories burned in $y$ hours of swimming.

By using Unitary method we get;

Number of calories burned in $y$ hours of Swimming = $400y$

Hence Number of calories burned in $x$ hours of cycling $600x$ and Number of calories burned in $y$ hours of Swimming is $400y$

Part b:

We need to write equation in general form that relates number of hours of cycling and swimming carols needs to perform to loose 5 pounds.

Solution:

Now given;

5 pounds = 16000 calories.

So we can say that;

Total number of calories to be burn is equal to sum of Number of calories burned in $x$ hours of cycling and Number of calories burned in $y$ hours of Swimming.

framing in equation form we get;

$600x+400y=16000$

Now dividing both side by 100 we get;

$\frac{600x}{100}+\frac{400y}{100}=\frac{16000}{100}\\\\6x+4y=160$

Hence the equation in general form that relates number of hours of cycling and swimming carols needs to perform to loose 5 pounds is $6x+4y=160$ .

4 0

4 years ago

For what value of x do the expressions 2x+3 and 3x+-6 have the same value?

Black_prince [1.1K]

The answer is 2 because it’s -6/3 =2

3 0

4 years ago

Read 2 more answers

Calculate the area of the following figure correct to 2 decimal places if can show or explain work

grin007 [14]

The way we approach a question like this, is by looking at what portion of the circle we actually have to calculate the area of. We know that a circle is a shape that goes 360 degrees around a point. Therefore we know that, for example, a semicircle, or half a circle, would cover half the amount of degrees. This is important, because as well as covering half the number of degrees, it also covers half the area. For the figure in your picture, we are told that the portion missing from the circle is 90 degrees (shown by the right angle symbol in the center).
this means that 90 degrees worth of the circle is missing, so if we do 360÷90, we find that the answer equals $\frac{3}{4}$ . This means that we are dealing with $\frac{3}{4}$ of a circle. So, we simply find the area of the circle normally, and then multiply by <span> $\frac{3}{4}$ :
The formula for area of a circle is </span> $\pi r^{2}$ , so in this case, it can be said to be $\pi (10^{2} )$ , which is equal to 314.15
Now we simply take that area and multiply it by the fraction we established earlier:
314.15 x $\frac{3}{4}$ = 235.61
Therefore the area of the figure is 235.61 $cm^{2}$
I hope this helped and please remember to try and not only understand the answer, but the maths that worked it out too :))

3 0

4 years ago

The Miami airport offers several different parking options for visitors. A new short term

Lana71 [14]

Answer:

(0, 24]

Step-by-step explanation:

The horizontal extent of the graph is from 0 to 24. There is an open circle at x=0, and a closed circle at x=24. Hence, the domain of the function is ...

0 < x ≤ 24

In interval notation, this is

(0, 24]

__

We note that this is not one of your answer choices. You may want to discuss this with your teacher.

5 0

4 years ago

At the 2005 World Exposition in Aichi, Japan, tiny mu-chips were embedded in the admissions tickets to prevent counterfeiting. T

frutty [35]

Answer:

Step-by-step explanation:

The solution is in the attachment

5 0

3 years ago