Answer:
x = 1/2m
Step-by-step explanation:
Sophie is correct because 295 + 65 = 360 and 360 is the # of degrees in a full circle
Answer:
The missing number on the given data set is 12.
Step-by-step explanation:
Here, the set of data = 18,16_,9,12,23
Let us assume the missing number in the data = m
The mean of the data = 15
Total number of observations = 6
Now, Sum of the data = 18 + 16 + m + 9+ 12+ 23 = 78 + m
Also, 
or, m = 12
Hence, the missing number on the given data set is 12.
Answer:
We have been given that a car can travel 476 miles on 14 gallons of gas and we are asked to write an equation relating the distance d to the number of gallons g.
We can set an equation as distance traveled is directly proportional to number of gallons used in travelling that distance.
Now we will find out K(number of miles traveled in one gallon of gas) by substituting our given values in this equation.
Therefore, we can see that car travels 34 miles in one gallon of gas.
Now we can use this information to find out how many gallons of gas does this car need to travel 578 miles.
Let us divide number of miles to be traveled by number of miles traveled in one gallon of gas to find out number of gallons of gas needed.
Therefore, car need 17 gallons of gas to travel 578 miles.
Step-by-step explanation:
The greatest number of people that William and Debra may invite and still stay within their budget is 63.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Since William and Debra have budgeted $2,500 for their reception. Therefore, their total expenses should be equal to the total expenses in the reception.
Budget = Total expenses
Budget = Reception hall Cleanup charge + $38 per person fee
Let the number of people invited to the party be represented by x,
$2,500 = $100 + $38(x)
2500 = 100 + 38x
2500 - 100 = 38x
2400 = 38x
x = 2400 / 38
x = 63.157 ≈ 63
Hence, the greatest number of people that William and Debra may invite and still stay within their budget is 63.
Learn more about Equation here:
brainly.com/question/14686792
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