This is the concept of algebra, let the width be x
height=x-4
length=2x+10
the volume of the box is:
volume=length*width*height
=x(x-4)(2x+10)
expanding the above we get:
(x^2-4x)(2x+10)
=x^2(2x+10)-4x(2x+10)
=2x^3+2x^2-40x=264
solving the above we get real solution will be
x=6
thus we conclude that the width is x=6 inches
length=2*6+10=22 inches
height=x-4=6-4=2 inches
thus the dimension will be:
width=6 inches, length=22 inches, height=2 inches
Answer:
x + y = 50 (1) and 2x + 3y = 115 (2); x = 35, y = 15
Step-by-step explanation:
Since x represents the number of 2 point shots and y represents the number of 3 point shots. If the total number of shots is 50, then x + y = 50 (1)
Also, the total 2 point shots is number of 2 point shots × points per shot = 2x and the total 3 point shots is number of 3 point shots × points per shot = 3y. Since the total number of points is 115, then
2x + 3y = 115 (2)
So, the system of equations are
x + y = 50 (1) and 2x + 3y = 115 (2)
We can solve for x and y by substituting x = 50 - y into (2)
So, 2(50 - y) + 3y = 115
100 - 2y + 3y = 115
100 + y = 115
y = 115 - 100
y = 15
So, x = 50 - y
= 50 - 15
= 35
Answer:
not sure tbh
Step-by-step explanation:
Answer:
25/39
Step-by-step explanation:
For division of mixed numbers, it often works well to first convert them to improper fractions. Then the division proceeds in the usual way: "invert and multiply", or "dot, swap."
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<em>Additional comment</em>
Your graphing calculator can do this, too.
