Answer:
-15
Step-by-step explanation:
Answer:
x = 3 or x = 1
Step-by-step explanation:
Solve for x over the real numbers:
x^2 - 4 x + 3 = 0
Subtract 3 from both sides:
x^2 - 4 x = -3
Add 4 to both sides:
x^2 - 4 x + 4 = 1
Write the left hand side as a square:
(x - 2)^2 = 1
Take the square root of both sides:
x - 2 = 1 or x - 2 = -1
Add 2 to both sides:
x = 3 or x - 2 = -1
Add 2 to both sides:
Answer: x = 3 or x = 1
Deacon Middle School
5x = number of boys
4x = number of girls
where x is some unknown number for now
(number of boys)+(number of girls) = 270 students total
5x+4x = 270
9x = 270
x = 270/9
x = 30
Since x = 30, this means
number of girls = 4x
number of girls = 4*30
number of girls = 120
There are 120 girls at Deacon Middle School
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Similarly, for Meadow Middle school
number of boys = 4y
number of girls = 5y
for some number y
(number of boys) + (number of girls) = 180 students total
4y+5y = 180
9y = 180
y = 180/9
y = 20
making,
number of girls = 5*y
number of girls = 5*20
number of girls = 100
so there are 100 girls at Meadow Middle School
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In summary so far, there are...
120 girls at Deacon Middle School
100 girls at Meadow Middle School
In total 120+100 = 220 girls from both schools
This is out of 270+180 = 450 students total
Divide the two values (220 and 450) to get
220/450 = 22/45
The final answer is 22/45
It cannot be reduced further as there are no common factors (other than 1) between 22 and 45
I might not be correct but i think Perimeter=31. Since the problem tells me that the area is 42 square inches i divided the given area (42 inches) by the given side length (12 inches), and I got 3.5. I did this because the formula for area is a=lw therefore 12×3.5=42 inches. Now that I know the missing measurement of the other side length, I can plug the numbers I have into either one of these equations.
P=SIDE++SIDE+SIDE+SIDE OR P=2(length)+ 2(width). Please let me know whether or not you understand or have any other questions I will be more than happy to answer. Later when you reach 9th grade and become a freshmen you will learn theorems that will help make it a little bit easier and they will also remove A LOT of the algebraic work that's required to solve questions such as this one. My name is Takira and I go to LaGuardia High School for Performing Arts. Please let me know if you have any more questions.
