Answer:
<u>Statement box:</u>
1. 5/3= slope
2.5/3 = 15/9
<u>Reason:</u>
1. Definition of slope
Step-by-step explanation:
:)
Answer:
(-1,4) is a solution to the system.
Step-by-step explanation:
For this problem, we can simply identify if this point is a solution by verifying the plugged in point values allow the left hand side to equal the right hand side.
(1) -2x - 3y = -10
-2(-1) - 3(4) ?= -10
2 - 12 ?= -10
-10 == -10
(2) -3x + y = 7
-3(-1) + (4) ?= 7
3 + 4 ?= 7
7 == 7
Since both equations are satisfied by this point, then we can say the point (-1,4) is a solution to the system. Additionally, this means this is a crossing point of the system of equations.
Cheers.
plz explain how u want ur answer
The number of days when the season pass would be less expensive than the daily pass is 5 days.
<h3>How many days would the season pass be less expensive?</h3>
The equation that represents the total cost of skiing with the daily pass : (daily pass x number of days) + (cost of renting skis x number of days)
$70d + $20d = $90d
The equation that represents the total cost of skiing with the seasonal pass : cost of season pass + (cost of renting skis x number of days)
$300 + $20d
When the season pass becomes less expensive, the inequality equation is:
Daily pass > season pass
$90d > $300 + $20d
In order to determine the value of d, take the following steps:
Combine and add similar terms: $90d - $20d > $300
70d > $300
Divide both sides by 70 d > $300 / 70
d > 4.3 days
Approximately 5 days.
To learn more about how to calculate inequality, please check: brainly.com/question/13306871
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Answer:
Step-by-step explanation:
What we have is a general equation that says this in words:
Laura's hours + Doug's hours = 250 total hours
Since we don't know either person's number of hours, AND since we can only have 1 unknown in a single equation, we need to write Laura's hours in terms of Doug's, or Doug's hours in terms of Laura's. We are told that Doug spent Laura's hours plus another 40 in the lab, so let's call Laura's hours "x". That makes Doug's hours "x + 40". Now we can write our general equation in terms of x:
x + x + 40 = 250 and
2x = 210 so
x = 105
Since Laura is x, she worked 105 hours in the lab and Doug worked 40 hours beyond what Laura worked. Doug worked 145. As long as those 2 numbers add up to 250, we did the job correctly. 105 + 145 = 250? I believe it does!!
