The trick to solving problems with mixed units is to convert all of them into one unit or another, so:
There are 12 inches in a foot, so 72 inches = 6 feet.
To find the perimeter of a polygon, sum its sides.
Perimeter = 2 + 5 + 6 = 13 feet.
To find the area of a right triangle (which I assume the one in the picture is), we can use the following equation: A = 0.5 * base * height
There are 3 feet to one yard, so 6 feet = 2 yards.
Area = 0.5 * 2 * 1 = 1 yard^2
Answer:
For 124 chirps per minute the temperature is 68 ºF.
For 68 chirps per minute the temperature is 54 ºF.
Step-by-step explanation:
Linear functions are those whose graph is a straight line. A linear function has the following form
![f(x)=b+mx](https://tex.z-dn.net/?f=f%28x%29%3Db%2Bmx)
b is the constant term or the y intercept. It is the value of the dependent variable when x = 0.
m is the coefficient of the independent variable. It is also known as the slope and gives the rate of change of the dependent variable.
We know that
- At 104 chirps per minute, the temperature is 63 ºF.
- At 176 chirps per minute, the temperature is 81 ºF.
This information can be converted to Cartesian coordinates (x, y). Where x = the number of chirps per minute and y = the temperature in ºF.
To find a linear function that let us find the outside temperature from how fast crickets chirp we must:
![m=\frac{y_2-y_1}{x_2-x_1}=\frac{81-63}{176-104}=\frac{1}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cfrac%7B81-63%7D%7B176-104%7D%3D%5Cfrac%7B1%7D%7B4%7D)
![81=\frac{1}{4}\cdot 104+b](https://tex.z-dn.net/?f=81%3D%5Cfrac%7B1%7D%7B4%7D%5Ccdot%20104%2Bb)
Solving for b
![b=81-\frac{1}{4} (176)=37](https://tex.z-dn.net/?f=b%3D81-%5Cfrac%7B1%7D%7B4%7D%20%28176%29%3D37)
Therefore, the linear function is
![y=\frac{1}{4} \cdot x+37](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7D%20%5Ccdot%20x%2B37)
Now, using this linear function we can know the temperature when we know the chirps per minute:
For 124 chirps per minute the temperature is:
![y=\frac{1}{4} \cdot (124)+37=68](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7D%20%5Ccdot%20%28124%29%2B37%3D68)
For 68 chirps per minute the temperature is:
![y=\frac{1}{4} \cdot (68)+37=54](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7D%20%5Ccdot%20%2868%29%2B37%3D54)
Answer:
The decimal form of
.
Step-by-step explanation:
We proceed to find the decimal form of
, whose description is found below:
1) Multiplying the numerator by 100 and dividing it by 15:
Partial result: 0.06, Remainder: 10
2) Multiplying the remainder by the 10 and dividing it by 15:
Partial result: 0.066, Remainder: 10
3) Multiplying the remainder by the 10 and dividing it by 15:
Partial result: 0.0666, Remainder: 10
Since the decimal number is a infinite and periodical, we conclude that decimal form of
.
First we need to get x
<RNA = <ENV [v.o.a]
8x+12=5x+57
8x-5x=57-12
3x=45
x=15
<ENV= (5×15+57)
<ENV =132
the answer is D
Answer:
D. Randomly draw and replace a card 100 times. Then, observe how close to 20 times a club is drawn.
Step-by-step explanation:
We are given that,
Martha predicts that 'whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time'.
Now, according to the options, we see that,
If she randomly draw and replace a card 100 times and then observe how close to 20 times a club is drawn.
Her prediction is most likely to be true.
As, 20 out of 100 times is
th of the total time.
Hence, option D is correct.