Answer:
the dimension of the poster = 90 cm length and 60 cm width i.e 90 cm by 60 cm.
Step-by-step explanation:
From the given question.
Let p be the length of the of the printed material
Let q be the width of the of the printed material
Therefore pq = 2400 cm ²
q = 
To find the dimensions of the poster; we have:
the length of the poster to be p+30 and the width to be 
The area of the printed material can now be: 
=
Let differentiate with respect to p; we have
Also;
For the smallest area 
p² = 3600
p =√3600
p = 60
Since p = 60 ; replace p = 60 in the expression q = to solve for q;
q =
q = 
q = 40
Thus; the printed material has the length of 60 cm and the width of 40cm
the length of the poster = p+30 = 60 +30 = 90 cm
the width of the poster = = 
= 40 + 20 = 60
Hence; the dimension of the poster = 90 cm length and 60 cm width i.e 90 cm by 60 cm.
Answer:
y = 6x - 20
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 6, thus
y = 6x + c ← is the partial equation
To find c substitute (4, 4) into the partial equation
4 = 24 + c ⇒ c = 4 - 24 = - 20
y = 6x - 20 ← equation of line
We conclude that, if working at the same rate, to make 374 units, she needs to work for 17 hours.
<h3>
At the same rate, how many hours would she have to work to make 374?</h3>
We know that Mary makes 242 units of something in 11 hours of work, then her rate of work is:
R = (242 units)/(11 hours) = 22 units per hour.
Now, if she wants to make 374 units, then she needs to work for a time T, such that:
(22 units per hour)*T = 374 units.
Solving that linear equation for T, we get:
T = (374 units)/(22 units per hour) = 17 hours
We conclude that, if working at the same rate, to make 374 units, she needs to work for 17 hours.
If you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:
the photo is a little blurry I cannot answer the question unfortunately sorry
C-53.62 times however many she bought.
so c-(53.62x)
because you are taking how much money she spent and subracting it from how much she had
