Answer: x= -1, y= -6
Rami works at a carnival dart game where groups of people try to pop balloons taped to a wall by throwing darts. He records the
number of people in each group and the total number of balloons they pop. This graph represents Rami’s data.
How many people were in the group that popped 16 balloons?
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How many people were in the group that popped 16 balloons?
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1 answer:
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Answer:
The solution is 1.
Step-by-step explanation:
Logarithm:
Suppose we have a logarithmic equation in the following format:
It means that:
In this question:
Which means that:
Every number, elevated to 0, is 1. So
Which means that the solution is
-2x+14 is the same as 14 - 2x
Let's say you started off with $14. If you want to buy a soda worth $2, then you have 14-2 = 12 dollars left. If you buy two sodas, then you spend 2*2 = 4 dollars with 14-4 = 10 dollars left.
In general, buying x sodas will cost you 2*x dollars and you have 14 - 2x dollars left over. The x is simply a placeholder for a whole number. For example, if x = 3, then...
14 - 2x = 14 - 2*3 = 14 - 6 = 8
meaning buying 3 sodas cost you $6 and you have $8 left over.
If y is the amount left over, then we can say y = 14 - 2x which is equivalent to y = -2x+14
note: graphing this equation will go through the two points (0,14) and (7,0) as shown in the image below. A graph is handy to help see various points on the line. Each point represents the amount of sodas you can buy (x) and the amount left over in your pocket (y). Keep in mind that neither x nor y can be negative, so it only makes sense to restrict the graph.
Answer:
5 minutes
Step-by-step explanation:
we know that
Jason runs 440 yards in 75 seconds
using proportion
Find out how many minutes does it take him to run a 1.760 yards (one mile)
Convert seconds to minutes
Divide by 60