Hey there!
To find the area, we multiply the length by the width! The carpet will cover the area of the room.
24×15=360
But, the carpeting is sold in square yards, not feet. There are three feet in a yard, which means that one yard is 1/3 feet. Since we have 360 square feet, we will divide it by three to get yards.
360/3=120
Therefore, the office would need 120 square yards of carpeting.
Have a wonderful day!
Answer:
They are proportional
Step-by-step explanation:
Y/X represents coordinates Y being rise X being run. So Y/X is equal to rise/run. If there was a coordinate grid, if the two points created a straight line that slant to the right I would be proportional. Since all I see is rise/run= 5 they are proportional. 5 represents the slope.
0.45 x 0.1 = 0.045 is the correct answer. Hope I helped.
Let's use ratio and proportion or rates to solve thisIf there is 5/6 cup of cinnamon in a 3/4 pound of spice mix, how many are in a pound?5/6=3/4 ?=11/ (3/4)*5/6=11/9Therefore there are 11/9 cups of cinnamon in 1.1 pounds of spice mix
Answer:

Step-by-step explanation:
<u>Function Modeling</u>
Since the air in the lungs goes periodically from a minimum value to a maximum value, we can simulate its behavior as a sinusoid. Selecting a sine or a cosine will depend on the initial condition we'll assume since the question doesn't provide one. We'll set the initial state when the lungs are at maximum air content. The sinusoid that starts from maximum is the cosine, so our model is

Where Ao is the amplitude of the oscillation, w is the angular frequency and M is the midline or y-displacement of the wave.
The values of A run from a min of 3.5 to a max of 4.5. That gives us twice the amplitude, thus

The vertical displacement or midline can be found as the shift from the center value:

We also know the cycle repeats 6 times per minute. If the time is expressed in minutes, then the frequency is f=6
Knowing that

Then

The model is

where t is expressed in minutes