Answer:
-6 <u>></u> x
Step-by-step explanation:
3 (x-6) +2 ≥ 5x - 4
3x-18 + 2 <u>></u> 5x - 4
3x - 18 <u>></u> 5x - 6
-18 <u>></u> 2x - 6
-12 <u>></u> 2x
-6 <u>> </u>x
Answer:
Javier can buy <em>at maximum</em> about 3.7 gallons of oil.
Step-by-step explanation:
Let g represent the amount of gasoline in galloons.
We know that Javier has at most $15.00 to spend. In other words, the total cost after buying the snacks and gasoline must be <em>less than or equal to </em>15.
He already bought a snack and a drink for a total of $2.59.
And each gallon of gasoline costs $3.39.
So, we can write the following inequality:

To find how many galloons of gasoline Javier can buy, we will need to solve for g.
So, subtract 2.59 from both sides. This yields:

Divide both sides by 3.39:

So, Javier can buy <em>at maximum</em> about 3.7 gallons of oil.
And we're done!
Answer:
30
Step-by-step explanation:
This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).
The attached image shows the points and segments joining them.
PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).
PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.
The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.


The perimeter of the triangle is 5 + 12 + 13 = 30
Answer:
B. 9 feet
Step-by-step explanation:
area = side^2
side^2 = 84
side = sqrt(84)
side = 9.2 ft
Each side of a wall measures 9.2 ft.