Answer:
dimensions are 51x91
Step-by-step explanation:
Assuming that the gym is rectangular in shape, then...
l*w=4641
and 2l+2w=284
We have two variables and two equations so to solve this we plug one equation into another.
Solve for one variable:
l*w=4641
w=4641/l
Plug into the other equation...
2l+2(4641/l)=284
Solve
l*(2l+9282/l)=284
2l^2+9282=284l
2l^2-284l+9282=0
Factor the trinomial:
2(l−51)(l−91)=0
l−51=0 or l−91=0(Set factors equal to 0)
l=51 or l=91
now, lets plug it into one of the equations to find w
51*w=4641
w=91, l=51
or...
91*w=4641
w=51, l=91
x=y+3 and 30x+80y=640 is the system of equations for given statement where x represents the number of commercials and y represent the number of movies on which Anna's songs were played.
Step-by-step explanation:
Given,
Earning for song played in commercial one time= $30
Earning for song played in movie one time = $80
Let,
x represent the number of commercials Anna's song played.
y represent the number of movies Anna's song played.
According to given statement;
Anna's songs were played on 3 more commercials than movies
x=y+3
her total earnings on the royalties from all commercials and movies was $640.
30x+80y=640
x=y+3 and 30x+80y=640 is the system of equations for given statement where x represents the number of commercials and y represent the number of movies on which Anna's songs were played.
Keywords: linear equation, substitution method
Learn more about linear equations at:
#LearnwithBrainly
Hi there!
The formula for the perimeter of a rectangle is P = 2 (l + w).
We can simplify this formula so that we can find the solutions easier.
P = 40
40 = 2 (l + w)
divide both sides by 2
40/2 = l + w
20 = l + w
So the length + width has to equal to 20.
So your answers would be B , C , D.
Hope this helped! :)
The domain of f(x) = 1 + tan^2 x is all real numbers.
The range of f(x) = 1 + tan^2 x is 1 ≤ f(x) ≤ 2
The first one is the one that doesn’t represent a function
