Answer:
(4,11)
Step-by-step explanation:
y=2x+3
y=5x-9
the first equation is equal to the second equation so
2x+3=5x-9
put like terms together
2x-5x= -9-3
-3x= -12
divide both sides by -3
.•.x=4
now, use the value of x to find the value of y like this:
y=2x+3 (x=4)
y=2(4)+3
y=8+3
y=11
therefore, the two lines intersect at the point (4,11)
Answer: 2x + 5y = -5
Step-by-step explanation:
Two lines are said to be parallel if they have the same slope.
The equation of the line given :
2x + 5y = 10
To find the slope , we will write it in the form y = mx + c , where m is the slope and c is the y - intercept.
2x + 5y = 10
5y = -2x + 10
y = -2/5x + 10/5
y = -2/5x + 2
This means that the slope is -2/5 ,the line that is parallel to this line will also have a slope of -2/5.
using the formula:
= m (
) to find the equation of the line , we have
y - 1 = -2/5(x -{-5})
y - 1 = -2/5 ( x + 5 )
5y - 5 = -2 ( x + 5 )
5y - 5 = -2x - 10
5y + 2x = -10 + 5
therefore :
2x + 5y = -5 is the equation of the line that is parallel to 2x + 5y = 10
The plumber's 2 hour and 26 min plumbing bill cost is $73
What is the plumber's per minute rate?
The plumber's per minute rate is the per half-hour rate divided by 30 minutes since the plumber charges $15 for every 30-minute job
per-minute rate=$15/30
per-minute rate=$0.50
Now, let us convert 2hours and 26 minutes to minutes, in other words, every 1 hour is 60 minutes, the two hours equal 120 minutes plus the 26 minutes gives a total of 146 minutes
Total minutes=120 min+26 min
total minutes=146 minutes
Total plumbing bill cost for 146 minutes is $0.50, the per-minute rate multiplied by the number of minutes the plumber needs to work in this case
2 hour and 26 min plumbing bill cost=146*$0.50
2 hour and 26 min plumbing bill cost=$73
Find out more about hourly rate on:brainly.com/question/4468523
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Answer:
Choice C is the answer.
Known information:
a = adult $
s = student $
We have 2 adults and 3 students.
Step-by-step explanation:
To find the total price of tickets given a # of students and adults, multiply a by the # of adults and multiply s by the # of students. Therefore, it would look like this:
2a + 3s = price
Therefore, choice C is the answer.
Hope this helps!
