Answer:
Hi there!
Your answer is:
x= 18
Step-by-step explanation:
3x+70=8x-20
Isolate x on left side
3x+70=8x-20
-8x -8x
-5x +70 = -20
Isolate whole numbers on right side
-5x +70 = -20
-70 -70
-5x = -90
Isolate x by dividing both sides by -5
-5x = -90
/-5
x= 18
<h2>
Dimension of box is 2 m x 2 m x 1.33 m</h2>
Step-by-step explanation:
Let a be base side and h be the height.
Volume of box, V = a²h
The sides of the box will cost $3 per m² and the base will cost $4 per m². Cost for making is $48.
That is
4a² + 3 x 4 x a x h = 48
4a² + 12 a x h = 48
a² + 3 ah = 12
So volume is
At maximum volume we have derivative is zero,
Negative side is not possible, hence side of square base is 2m.
Substituting in a² + 3 ah = 12
2² + 3 x 2 x h = 12
h = 1.33 m
Dimension of box is 2 m x 2 m x 1.33 m
Using arithmetic and the information provided, there were 6 persons at the party.
<h3>Number of people at the party</h3>
The question is asking us to use the cost of the plates served to each person to calculate the number of people in the party from the information available in the question.
- Normal charge of a plate of food = $95
- Additional charge on each plate of food = $12.75
- Total cost of the party = $656
- Total cost of food for each person = $95 + $12.75 = $107.75
Number of people at the party can be obtained from; Total cost of food at the party/ Total cost of each plate of food
= $656/ $107.75 = 6 persons
Learn more about arithmetic: brainly.com/question/2171130
Answer:
-1108
Step-by-step explanation:
