Answer:
1.88 inches
Step-by-step explanation:
The volume is the product of length, width, and height. If w represents the width of the box, then its length is 4w and its height is w+7. The volume is then ...
V = (4w)(w)(w+7)
We want to find the value of w that makes V=126. It is convenient to use the graphing calculator to look for zeros of a function, so we can write the equation as ...
V - 126 = 0
4w·w·(w+7) -126 = 0
The only positive solution to this equation is near w ≈ 1.883.
The width of the box is about 1.88 inches.
_____
Attached is output from the DESMOS free graphing calculator. The ALEKS calculator requires a subscription. The method of solution is substantially the same, but requires a little more work on the ALEKS calculator to find the zero-crossing.
6.375
Take 3/8 and make it out of 1000, making 375/1000 or .375
The answer is 1575. I can tell you step by step how to get it if you want.
I suggest drawing a graph or simply using a calculator
The answers should be (5 - √ 41) / 2 and (5 + √ 41) / 2
;)
Create some expressions.
1# number: x
2# number: 33x
3# number: 100 + x
this all equals to 310310 when added so
x+33x+(x+100) = 310310
Solve what you know first then rearrange it.
34x + x + 100 = 310310
35x = 310310-100
35x = 310210
x = 310210/35
x = 8863.142857
Substitute the x into the expressions made and you'll find the 2# and 3# number. You've already found the 1# number since it's only x.