Answer: The basketball will sell for $21
.
Step-by-step explanation:
Hi, to answer this question, first, we have to multiply the cost of the basketball (10) by the percent markup in decimal form (divided by 100).
Mathematically speaking:
10 x (110/100) = $11
Now, we have to add the markup amount (11) to the cost (10) to obtain the selling price:
10 +11 = $21
The basketball will sell for $21
.
Answer:
Step-by-step explanation:
Yes what is the problemo! :>
a. ![\boxed{y-602=\frac{2}{3}(x-3)}](https://tex.z-dn.net/?f=%5Cboxed%7By-602%3D%5Cfrac%7B2%7D%7B3%7D%28x-3%29%7D)
b. For every month the pine tree grows about 0.67 inches.
c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.
<h2>
Explanation:</h2>
<h3>PART A.</h3>
In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:
![P_{1}(3,602) \\ \\ P_{2}(6,604) \\ \\ P_{3}(q,606) \\ \\ P_{4}(12,608)](https://tex.z-dn.net/?f=P_%7B1%7D%283%2C602%29%20%5C%5C%20%5C%5C%20P_%7B2%7D%286%2C604%29%20%5C%5C%20%5C%5C%20P_%7B3%7D%28q%2C606%29%20%5C%5C%20%5C%5C%20P_%7B4%7D%2812%2C608%29)
It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.
The point slope form of the equation of a line is:
![y-y_{1}=m(x-x_{1}) \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{1}, y_{1}):A \ point \ on \ the \ line](https://tex.z-dn.net/?f=y-y_%7B1%7D%3Dm%28x-x_%7B1%7D%29%20%5C%5C%20%5C%5C%20Where%3A%20%5C%5C%20%5C%5C%20m%3ASlope%20%5C%5C%20%5C%5C%20%28x_%7B1%7D%2C%20y_%7B1%7D%29%3AA%20%5C%20point%20%5C%20on%20%5C%20the%20%5C%20line)
Finding (m):
![Using: \\ \\ P_{1}(x_{1},y_{1}) \rightarrow P_{1}(3,602) \\ \\ P_{2}(x_{2}, y_{2}) \rightarrow P_{2}(6,604) \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{604-602}{6-3} \\ \\ m=\frac{2}{3}](https://tex.z-dn.net/?f=Using%3A%20%5C%5C%20%5C%5C%20P_%7B1%7D%28x_%7B1%7D%2Cy_%7B1%7D%29%20%5Crightarrow%20P_%7B1%7D%283%2C602%29%20%5C%5C%20%5C%5C%20%20P_%7B2%7D%28x_%7B2%7D%2C%20y_%7B2%7D%29%20%5Crightarrow%20P_%7B2%7D%286%2C604%29%20%5C%5C%20%5C%5C%20m%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%3D%5Cfrac%7B604-602%7D%7B6-3%7D%20%5C%5C%20%5C%5C%20m%3D%5Cfrac%7B2%7D%7B3%7D)
Finally, the equation of the line is:
![(x_{1}, y_{1}) \rightarrow (3,602) \\ \\ \boxed{y-602=\frac{2}{3}(x-3)}](https://tex.z-dn.net/?f=%28x_%7B1%7D%2C%20y_%7B1%7D%29%20%5Crightarrow%20%283%2C602%29%20%5C%5C%20%5C%5C%20%5Cboxed%7By-602%3D%5Cfrac%7B2%7D%7B3%7D%28x-3%29%7D)
<h3>
PART B.</h3>
In this case, we have that:
- The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
- The y-axis represents the <em>Height of the Tree </em>in inches.
Since the slope o a line is:
![Slope=\frac{Change \ in \ y}{Change \ in \ x}=\frac{2}{3}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7BChange%20%5C%20in%20%5C%20y%7D%7BChange%20%5C%20in%20%5C%20x%7D%3D%5Cfrac%7B2%7D%7B3%7D)
Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>
<h3>PART C.</h3>
The y-intercept can be found setting
. So, from our equation:
![y-602=\frac{2}{3}(x-3)} \\ \\ \\ If \ x=0: \\ \\ y-602=\frac{2}{3}(0-3) \\ \\ y-602=-2 \\ \\ Solving \ for \ y: \\ \\ y=602-2 \\ \\ y=600](https://tex.z-dn.net/?f=y-602%3D%5Cfrac%7B2%7D%7B3%7D%28x-3%29%7D%20%5C%5C%20%5C%5C%20%5C%5C%20If%20%5C%20x%3D0%3A%20%5C%5C%20%5C%5C%20y-602%3D%5Cfrac%7B2%7D%7B3%7D%280-3%29%20%5C%5C%20%5C%5C%20y-602%3D-2%20%5C%5C%20%5C%5C%20Solving%20%5C%20for%20%5C%20y%3A%20%5C%5C%20%5C%5C%20y%3D602-2%20%5C%5C%20%5C%5C%20y%3D600)
So the y-intercept is
and<em> represents the height of the tree at the moment Ariel started to record the heights.</em>
<h2>Learn more:</h2>
Slope Intercept form: brainly.com/question/4192440
#LearnWithBrainly
We can figure out how many numbers there are from 368 to 500 by subtracting.
500 - 368 = 132
Now, we need to get it in word form. This can be done by looking at the place value of each number.. So your answer would be:
1 hundred, 3 tens, and 2 ones.
Answer:
1,448.4 mm.
Step-by-step explanation:
Volume is the length, width, and height multiplied together.
14.2 mm x 12 mm x 8.5 mm = 1,448.4 mm^2.