Answer:
Number of drink = 5
Number of pretzel = 9
Step-by-step explanation:
Given:
Cost of each drink = $4
Cost of each pretzel = $5
Total money = 65
Total number of drink and pretzel = 14
Find:
Number of drink and pretzel
Computation:
Number of drink = x
Number of pretzel = 14 - x
So,
x(4) + (14-x)5 = 65
4x + 70 - 5x = 65
x = 5
Number of drink = 5
Number of pretzel = 14 - x
Number of pretzel = 14 - 5 = 9
Answer:
23%
Step-by-step explanation:
To find how many failed inspection, add together all the percentages:
15 + 5 + 3
= 23
So, 23% of the products failed inspection
For this case we have by definition, that the equation of a line in the slope-intersection form is given by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m: It's the slope
b: It is the cutoff point with the y axis
We need two points through which the line passes to find the slope:
![(0, -4)\\(1,0)](https://tex.z-dn.net/?f=%280%2C%20-4%29%5C%5C%281%2C0%29)
We found the slope:
![m = \frac {y2-y1} {x2-x1}\\m = \frac {0 - (- 4)} {1-0} = \frac {4} {1} = 4](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7By2-y1%7D%20%7Bx2-x1%7D%5C%5Cm%20%3D%20%5Cfrac%20%7B0%20-%20%28-%204%29%7D%20%7B1-0%7D%20%3D%20%5Cfrac%20%7B4%7D%20%7B1%7D%20%3D%204)
So, the equation is of the form:
![y = 4x + b](https://tex.z-dn.net/?f=y%20%3D%204x%20%2B%20b)
We substitute a point to find "b":
![-4 = 4 (0) + b\\-4 = b](https://tex.z-dn.net/?f=-4%20%3D%204%20%280%29%20%2B%20b%5C%5C-4%20%3D%20b)
Finally, the equation is:
![y = 4x-4](https://tex.z-dn.net/?f=y%20%3D%204x-4)
Answer:
Option D
Answer:
<em>6000 people</em>
Step-by-step explanation:
Given the ratio of in-state to out-of-state visitors to the amusement park was 4 to 3, the total ratio will be 4+3 = 7
Total visitors in the park = 14,000 visitors
Number of people that were out of state = 3/7 * 14000
Number of people that were out of state = 3 * 2000
Number of people that were out of state = 6000
<em>Hence there were 6000 people out of state.</em>
True.
Let's say that you have two pieces of paper that both represent planes. If you cross them, you'll be able to see that the intersection of these two pieces of paper is a line.