Answer:
5 hours
Step-by-step explanation:
Step one:'
given data
Angelo charges a one time fee of $50 plus $15 per hour
let the total charge be y
and the number of hours be x
y= 50+15x----------------1
Deborah charges a one time fee of $25 plus $20 per hour
y= 25+20x----------------2
equate 1 and 2 to find x
50+15x=25+20x
collect like terms
50-25= 20x-15x
25= 5x
divide both sides by 5
x= 25/5
x= 5 hours
Answer:
- The solution is (x, y) = (-2, 0)
- A graph is attached
Step-by-step explanation:
The graph shows the solution. The first equation has a y-intercept of -4 and a slope of -2, so will go through the point (-2, 0).
The second equation has a y-intercept of +4 and a slope of 2, so will go through the point (-2, 0).
Both equations have the same x-intercept, so that x-intercept is the solution to the system of equations.
Answer:
YZ=16
Explanation:
XWY=20 XWZ=40, XWY is half of XWZ, which means ZWY =20. Now you can say that the triangles are congruent through the AAS postulate, so you know that YZ-16 because of CPCTC
Answer: Sample B: A random sample of 100 customers leaving a store
Step-by-step explanation: In mathematics and especially when gathering data, you will gather the most accurate results with a larger portion. The larger portion will ensure a more accurate reading.
As given;
2.52x10^7 people are living in <span>4.05x10^5 km^2 area. then for 1km^2, the number of people can be calculated as:
people in 1km^2 = (2.52x10^7) / (</span><span>4.05x10^5)
=0.62x10^2
or
=6.2x10^1</span>
