The slopes of the relationships are given as follows:
6. 5.
7. 1.
<h3>What is the complete question?</h3>
The problem is incomplete, as the tables are not readable, but researching it on a search engine, we find that:
- For item 6, we have points (2,8) and (6,28).
- For item 7, we have points (-6,5) and (4,10).
<h3>How to find the slope of a line given two points?</h3>
Given two points in the format (x,y), the slope of the line is given by change in y divided by change in x.
Hence, the slopes for each problem are given as follows:
6. m = (28 - 8)/(6 - 2) = 20/4 = 5.
7. m = (10 - 5)/(4 - (-6)) = 10/10 = 1.
More can be learned about the slope of a line at brainly.com/question/24808124
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Answer:
Step-by-step explanation:
Each ticket is $15. The number of tickets is what we are trying to solve for. The class spends a certain amount of money to prepare for the formal. They hope that the money they make in ticket sales is MORE than what they spend. The expression that represents the number of tickets at $15 each is 15x, where x is the number of tickets. They hope that the sales are greater than what they spend, so what we have so far is
15x >
Greater than what, though? What do they spend? They spend 600 for the food, so
15x > 600...
but they also have to print a certain, unknown number of tickets at .50 each. The expression that represents the printing of each ticket is .5x (we can drop the 0; it doesn't change the answer or make it wrong if we drop it off). So the cost for this affair is the food + the printing.
15x > 600 + .5x
Solve this inequality for x. Begin by subtracting .5 from both sides to get
14.5x > 600 so
x > 41.3
Because we are not selling (or printing) .3 of a ticket, it's safe to say (and also correct!) that they need to sell (and print) 41 tickets. If they sell 41 tickets, the profit is found by
15(41) > 600 + .5(41)
615 > 600
This means that at 41 tickets, they make a profit. At 40 tickets, the inequality looks like this:
15(40) > 600 + .5(40) and
600 > 620. This is not true, so 40 tickets isn't enough.
Answer:
-31/6
Step-by-step explanation:
77+2(3x-5)=8-3(2x+1)
77+6x-10=8-6x-3
77-10+6x=8-3-6x
67+6x=5-6x
67+6x-(-6x)=5
67+6x+6x=5
67+12x=5
12x=5-67
12x=-62
x=-62/12
simplify
x=-31/6
Answer:
letters = 46536
Step-by-step explanation:
letters + packages = 50995
letters + 4459 = 50995
letters = 50995 - 4459
letters = 46536
