62 + 22 = 84 total light strings.
36 bulbs/string multiplied by 84 light strings = 3,024 total light bulbs
E. Each ticket costs $15 and Gina has to buy 5 tickets for her and her friends. $w is the total cost of 5 tickets that cost $15 each.
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.
Learn more about the function here:
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Answer:
-13
-
+ 4p + 3
Step-by-step explanation:
I am having a little trouble reading the number. I think 5 is the question number and not part of the problem. I think this is the problem:
(4p - 6
- 3) - (8
+ 7
- 6) You take the opposite of everything inside the second set of parentheses. You can think of it as multiplying through by -1
4p - 6
- 3 - 8
- 7
+ 6 Now we combine like terms. That is the numbers with the same variable p and the same power of p.
-13
- 8
+ 4p + 3
Answer:
acute: 7, 9
right: 8, 10
obtuse: 5, 6
Step-by-step explanation:
When you have a number of identical calculations to do, it is convenient to do them in a spreadsheet. You only need to enter the formula once and copy it as many times as needed.
The attachment shows the "sum of squares" calculation and comparison to the square of the longest side. When the sum is too small, the longest side is longer than needed for a right angle, so the triangle is obtuse. When the sum is too great, the longest side is too short for a right angle, so the triangle is acute.
We have skipped the tedious arithmetic and shown the results in the attached table.