There are several ways to solve this. First, you can divide $18 by 6, which is $3, to find the price for one gallon, then multiply this by 8 (so the total would be $24). Or, you can use this less conventional and more complicated method to try to impress your teachers with how smart you are: Multiply the price for 6 gallons by 4, to find the price for 24 gallons ($18*4=$72), then divide it by 3 (since 8*3=24) to find the price for 8 gallons. This is $72/3=$24.
From smallest to largest the angles are; Angles C , A , B
Step-by-step explanation:
Perimeter of a triangle is the sum of all the sides.
Given: In triangle ABC, the perimeter is 30 feet and
AB = 5x -7 , BC = 3x+1 and AC =4x
By definition of perimeter;
Perimeter of triangle ABC = AB + BC + AC
Substitute given values we have;
Combine like terms;
Add 6 to both sides we get;
30 +6 = 12x -6 +6
Simplify:
36 = 12 x
Divide both sides by 12 we get;
3 = x
Side of AB = 5x -7 = 5(3) -7 = 15 -7 = 8 units.
Side of BC = 3x + 1 = 3(3) + 1 = 9 + 1 = 10 units.
and
Side of AC = 4x = 4(3) = 12 units.
As, the largest angle will be opposite 12 because it is the longest side. Similarly, the smallest angle will be opposite 8, which is the shortest side.
{(0, 1), (0, 5), (2, 6), (3, 3)} is not a function because zero is repeated in (0, 1),(0, 5)
While
{(1, 4), (2, 7), (3, 1), (5, 7)} is a function because there is no repetition in domain i.e. first element of each ordered pair is unique.
Step-by-step explanation:
To decide whether a relation is a function or not, the first elements of each ordered pair (domain) are observed. In order for a relation to be a function, there should be no repetition in first elements of each ordered pair.
In the given group of points:
{(0, 1), (0, 5), (2, 6), (3, 3)} is not a function because zero is repeated in (0, 1),(0, 5)
While
{(1, 4), (2, 7), (3, 1), (5, 7)} is a function because there is no repetition in domain i.e. first element of each ordered pair is unique.