Direct variation is is when the x and y a direct relation
without constants added or subtracted
With being times by each other
so the only one that meets the definite is the first one
y = 0.5x means y is equal to half of x. So you know that every y is directly related to half of x
Calculate the lengths of the sides of the triangle:
The triangle has three different sides, so it's a scalene triangle.
Now if c is the longest side of the triangle, and a and b are the shorter sides, then:
- if , the triangle is right
- if , the triangle is acute
- if , the triangle is obtuse
The longest side is 5.
The square of the longest side is equal to the sum of the squares of the shorter sides, so it's a right triangle.
The triangle is a right scalene triangle.
Answer: The number of child tickets is 85 and the number of adult tickets is 95.
Step-by-step explanation:
Let C = Number of child tickets
A = Number of adult tickets.
As per given, we have
C+A=180 (i)
7C+13A=1830 (ii)
Multiply 7 to both sides of equation (ii), we get
7C+7A=1260 (iii)
Eliminate (iii) from (ii) , we get
Put value of y in (i), we get
C= 85
Hence, the number of child tickets is 85 and the number of adult tickets is 95.
Answer:
$397.34 (if he sold the 20 leftover hot dogs), $297.34 if he didn't.
Step-by-step explanation:
We are going to assume that a month has 30 days.
- First, we are going to see how much money the vendor got from selling the 80 hot dogs. He sold 80 hot dogs at 20 dollars/piece = 1600 dollars.
- We need to subtract the amount of money he spent in each hot dog (12 dollars in raw material plus one dollar for packing): 13 dollars x 100 hot dogs he prepared = 1300 dollars
- He also spends a total of 80 dollars per month in truck rent, electricity and other expenses. If we divide this by the amount of days per month we have: 80/30 = 2.66
- The problem doesn't tell us that there were unhappy customers that day so that amount is zero.
- We are going to assume that the vendor sold the remaining 20 hot dogs at 5 dollars/piece. 20 x 5 = 100.
Thus, the profit for that day is:
1600 - 1300 - 2.66 + 100 = 397.34
<u>(</u><u>Note:</u><u> If the vendor did not sell the leftover hot dogs and he actually only sold 80 hot dogs, then the profit would be: 1600 - 1300 - 2.66 = 297.34)</u>
