7 1/2 is already simplified to its lowest terms
Answer:
20x^2+23x+6
Step-by-step explanation:
(4x+3)(5x+2)
(4x)(5x)+2(4x)+(5x)3+3(2)
20x^2+8x+15x+6
20x^2+23x+6
Hope that helps :)
Answer:
Part 1: The entry fee is $5
Part 2: Each minute costs 25 cents
Step-by-step explanation:
In the expression, the '+5' represents the fee added to '.25m' the cost per each minute.
Answer:
46
Step-by-step explanation:
The geometry can be modeled by a right triangle. The diagonal measure is the hypotenuse, and the height is one leg. The width is the other leg, and can be found using the Pythagorean theorem.
__
<h3>Pythagorean theorem</h3>
The relation between the leg lengths (a, b) and the hypotenuse (c) is ...
c² = a² +b²
Solving for b gives ...
b = √(c² -a²)
<h3>application</h3>
In this problem, we have c=55 and a=30. Then the width of the TV is ...
b = √(55² -30²) = √(3025 -900) = √2125
b ≈ 46.098
The width of the TV is about 46.
The way we can find out the unit rate (also known as the <em><u>SLOPE</u></em>) is by using the table as coordinates!
The slope formula is 
With the table, the TIME column can be "x"
The DISTANCE column can be "y"
____________________________
As coordinates, it would look like...
(0,0)
(20, 25)
(30, 37.5) and so on!
_____________________________
All we need to do now is use 2 of these coordinates and plug them into the slope formula in their correct places to find the unit rate!
Example:
solve!
= 12.5/10 ⇒ 1.25 ( or 5/4 in fraction form)
