Suppose the length of the card board was x cm by x cm
After squares of 4cm was cut from the corner, the dimension for the box will be:
length=(x-8) cm
width=(x-8) cm
height=4 cm
thus the volume will be:
V=length*width*height
V=4×(x-8)×(x-8)=144
x²-16x+64=36
this can be simplified to form a quadratic equation given by:
x²-16x+28=0
solving the quadratic equation we get:
x=2 or x=14
Thus we conclude that the original dimensions was:
length=14 cm ; width=14 cm
Step-by-step explanation:
done
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Answer:
Step-by-step explanation:
The following are linear equations for the distance that John has biked (J) and the distance that Gymn has biked (G). These two equations represent the situation being described using the values provided.
J = 22x + 10
G = 28x + 0
In these equations the variable x represents the number of hours each of the bicyclists have biked.
Answer:
The interest is $1080 and the amount is $4080.
Step-by-step explanation:
Find an interest by using the formula I=P*i*t, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this examplee P = $3000, i = 6% and t = 6 years, so
I=P*i*t
I=3000*0.06*6
I=1080
The interest is 1080, therefore the total amount is 4080.
Hope this helps!
