Answer:
-2
Step-by-step explanation:
1) Look at the y-intercept. The line crosses the y-axis at (0,7)
Follow it down, it goes down two and over one to directly intersect the grid.
Rise over run = 2/1
2/1 = 2
However, the line is negative, as it's sloping down from the left to the right, making the slope -2
Answer: 50 calories
Step-by-step explanation:
One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. The fraction that comes from fat:
= 90/150 = 3/5
One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. The fraction that comes from fat here:
= 12/120 = 1/10
The fat that are provided by a 100 calorie serving of the microwave popcorn would be:
= 3/5 × 100
= 60
The fat that are provided by a 100-calorie serving of the pretzels would be:
= 1/10 × 100 = 10
The difference from fat that are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels would be:
= 60 - 10
= 50 calories
Answer:
(a) The amount of ice cream increase as temperature increases
(b)
--- equation
--- y intercept
--- slope
Step-by-step explanation:
Given
See attachment for graph
Solving (a): The relationship between the variables
From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.
In other words;
The amount of ice cream increase as temperature increases
Solving (b): The line of best fit
First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).
From (2), we select any 2 points on the line:
![(x_1,y_1) = (15,35)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%2815%2C35%29)
![(x_2,y_2) = (0,5)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%280%2C5%29)
The slope (m) is:
![m = \frac{y_2 -y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-y_1%7D%7Bx_2%20-%20x_1%7D)
![m = \frac{5-35}{0-15}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B5-35%7D%7B0-15%7D)
![m = \frac{-30}{-15}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-30%7D%7B-15%7D)
![m = 2](https://tex.z-dn.net/?f=m%20%3D%202)
So, the line of best fit is:
![y = m(x - x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20-%20x_1%29%20%2B%20y_1)
Substitute known values:
![y = 2(x - 0) + 5](https://tex.z-dn.net/?f=y%20%3D%202%28x%20-%200%29%20%2B%205)
![y = 2(x) + 5](https://tex.z-dn.net/?f=y%20%3D%202%28x%29%20%2B%205)
![y = 2x + 5](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%205)
The y-intercept is when ![x=0](https://tex.z-dn.net/?f=x%3D0)
So, we have:
![y = 2*0 + 5](https://tex.z-dn.net/?f=y%20%3D%202%2A0%20%2B%205)
![y = 0 + 5](https://tex.z-dn.net/?f=y%20%3D%200%20%2B%205)
![y = 5](https://tex.z-dn.net/?f=y%20%3D%205)
Q is 124 and 56 because it has to add up to 180 and sense r is also 56 degrees that means S is 68 degrees because the sum of each angle has to add up to 180 degrees
Answer:
$8
Step-by-step explanation:
5 increase 60% =
5 × (1 + 60%) = 5 × (1 + 0.6) = 8