Step-by-step explanation:
6x-7
= 6×2-7
=12-7
=5
b) 3x
=3×2
=6
Teacher will have 3 bottles of glue after he combines
<em><u>Solution:</u></em>
Given that,
The art teacher has 7 bottles of glue that are each 2/5 full
He combines them so he will have fewer bottles
<em><u>To find: bottles of glue does he have after he combines them</u></em>
From given,
Total bottles = 7
Each is 2/5 full
Therefore, multiply 7 with 2/5 to get total bottles of glues he will have after combining
Thus teacher will have 3 bottles of glue after he combines
The largest possible volume of the given box is; 96.28 ft³
<h3>How to maximize volume of a box?</h3>
Let b be the length and the width of the base (length and width are the same since the base is square).
Let h be the height of the box.
The surface area of the box is;
S = b² + 4bh
We are given S = 100 ft². Thus;
b² + 4bh = 100
h = (100 - b²)/4b
Volume of the box in terms of b will be;
V(b) = b²h = b² * (100 - b²)/4b
V(b) = 25b - b³/4
The volume is maximum when dV/db = 0. Thus;
dV/db = 25 - 3b²/4
25 - 3b²/4 = 0
√(100/3) = b
b = 5.77 ft
Thus;
h = (100 - (√(100/3)²)/4(5.77)
h = 2.8885 ft
Thus;
Largest volume = [√(100/3)]² * 2.8885
Largest Volume = 96.28 ft³
Read more about Maximizing Volume at; brainly.com/question/1869299
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23 represents the wait time at the time the store opens.
