For Volume is V=(base1 + base2)h and then divide by two
Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.
Combined Area = (2x + 26)*(2x + 8) = 1008
2x*(2x + 8) + 26*(2x + 8 ) = 1008
4x² + 16x + 52x + 208 = 1008
4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0. Divide through by 4.
x² + 17x - 200 = 0 . This is a quadratic equation.
Multiply first and last coefficients: 1*-200 = -200
We look for two numbers that multiply to give -200, and add to give +17
Those two numbers are 25 and -8.
Check: 25*-8 = -200 25 + -8 = 17
We replace the middle term of +17x in the quadratic expression with 25x -8x
x² +17x - 200 = 0
x² + 25x - 8x - 200 = 0
x(x + 25) - 8(x + 25) = 0
(x+25)(x -8) = 0
x + 25 = 0 or x - 8 = 0
x = 0 -25 x = 0 + 8
x = -25 x = 8
The width of the path can not be negative.
The only valid solution is x = 8.
The width of the path is 8 meters.
Answer:
630
Step-by-step explanation:
you need to do a 2 step equation, first finding the amount of students that get accepted, and then use the info you just got solving how many people actually enroll.
formula:
part part %
---------- = -----------
total total %
Answer:
Step-by-step explanation:
9X+5Y=35
2X+5Y=0
-(2X+5Y=0)
-2X-5Y=0
9X+5Y=35
7X=35
X=5
2(5)+5Y=0
10+5Y=0
5Y=-10
Y=-2
X=5 Y=-2
The value of the expression 3ac - b² - c² is -61.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The expression will be solved as below:-
3ac - b² - c² = ( 3 x 4 x -3 ) - ( 4 )² - ( -3 )²
= ( -36 - 16 - 9 )
= ( -61 )
Therefore, the value of the expression 3ac - b² - c² is -61.
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