Answer:
Step-by-step explanation:
Portrait is in the shape of a rectangle.
And the area of a rectangle = Length × Width
Let the length of the portrait = l
And width of the portrait = w
Area of the portrait = lw
lw = 40
l = 
Perimeter of a rectangle = 2(Length + width)
Perimeter of the portrait = 2(l + w)
26 = 2(l + w)
l + w = 13 ----------(2)
By substituting the value of 'l' in equation (1) from equation (2)
40 + w² = 13w
w² - 13w + 40 = 0
w² - 8w - 5w + 40 = 0
w(w - 8) - 5(w - 8) = 0
(w - 5)(w - 8) = 0
w = 5, 8 feet
From equation (2)
l = 8, 5 feet
Therefore, dimensions of the portrait are (5 feet by 8 feet) Or (8 feet by 5 feet).
The correct question is
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot. <span>The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?
let
x-------> the length of the base of the rectangular prism
</span>y-------> the width of the base of the rectangular prism
<span>
we know that
volume of the prism=area of the base*height
volume=48 ft</span>³
<span>height of the prism=3/4 ft
area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft</span>²
<span>
area of the base=64 ft</span>²
<span>area of the base=x*y
64=x*y--------> equation 1
y=x+2--------> equation 2
substitute equation 2 in equation 1
64=x*[x+2]-----> 64=x</span>²+2x------> x²+2x-64=0
<span>
using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=7.062 ft
y=x+2-----> y=7.062+2-----> y=9.062 ft
the answer is</span>
the length of the base of the rectangular prism is 7.062 ftthe width of the base of the rectangular prism is 9.062 ft<span>
</span>
Answer:
idk im onlyin 7th grade
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
We have the system of equations:
And an ordered pair (10, 5).
In order for an ordered pair to satisfy any system of equations, the ordered pair must satisfy both equations.
So, we can eliminate choices A and B. Satisfying only one of the equations does not satisfy the system of equations.
Let’s test the ordered pair. Substituting the values into the first equation, we acquire:
Evaluate:
Evaluate:
So, our ordered pair satisfies the first equation.
Now, we must test it for the second equation. Substituting gives:
Evaluate:
So, the ordered pair does not satisfy the second equation.
Since it does not satisfy both of the equations, the ordered pair is not a solution to the system because it makes at least one of the equations false.
Therefore, our answer is C.
Answer:
I believe it would be 192 milligrams.
Step-by-step explanation:
They said the amount of sodium is equal to the amount of ounces meaning it would be 6ounce:96milligrams. In this case, doubling 6 would be 12, resulting in doubling 96 as well. I'm not 100% sure, this problem contains an unnecessary amount of information for a simple concept.
