The function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long, option (d) is correct.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
y represents the number of miles a motor car has left to go in the race
x represents the number of laps completed by the motor car
The total number of miles if we consider only circular speedways = 2.5x
The total number of miles:
y = 2.5x + 500 (because 500 is the constant)
Thus, the function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long option (d) is correct.
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Set up a proportion
EA / EB = ED/ EC
16 / (5x + 2 + 16) = 12 / (12 + 24)
16/(5x + 18) = 12 / 36 Cross multiply
16 * 36 = (4x + 18)*12 Remove the brackets
576 = 48x + 216 Subtract 216 from both sides.
360 = 48x Divide by 48
360/48 = x
7.5 = x
Given that E is a point between Point D and F, the numerical value of segment DE is 46.
<h3>What is the numerical value of DE?</h3>
Given the data in the question;
- E is a point between point D and F.
- Segment DF = 78
- Segment DE = 5x - 9
- Segment EF = 2x + 10
- Numerical value of DE = ?
Since E is a point between point D and F.
Segment DF = Segment DE + Segment EF
78 = 5x - 9 + 2x + 10
78 = 7x + 1
7x = 78 - 1
7x = 77
x = 77/7
x = 11
Hence,
Segment DE = 5x - 9
Segment DE = 5(11) - 9
Segment DE = 55 - 9
Segment DE = 46
Given that E is a point between Point D and F, the numerical value of segment DE is 46.
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I think the answer is 3/8 pounds. You multiply the 3/4 pounds by 1/2 because the recipie has been cut in half. Hope this helps!
