Answer:
57 inches
Step-by-step explanation:
The height, width, and diagonal of the TV screen form a right triangle.
Use the pythagorean theorem, a² + b² = c², and solve for c, the hypotenuse/diagonal of the TV.
a² + b² = c²
30² + 48² = c²
900 + 2304 = c²
3204 = c²
56.6 = c
Round this to the nearest inch:
56.6
= 57
So, the diagonal of the TV screen is 57 inches
Given:
Cost to build a bookshelf = $20
Cost to build a table = $45
Amount available to spend = $600
Let x = number of bookshelves built.
Let y = number of tables built.
The total number of bookshelves and tables = 18.
Therefore
x + y = 18.
That is,
y = 18 - x (1)
The total amount available to build x bookshelves and y tables = $600. Therefore
20x + 45y = 600
That is (dividing through by 5),
4x + 9y = 120 (2)
Substitute (1) into (2).
4x + 9(18 - x) = 120
4x + 162 - 9x = 120
-5x = -42
x = 8.4
From (1),obtain
y = 18 - 8.4 = 9.6
Because we cannot have fractional bookshelves and tables, we shall test values of x=8, 9 and y=9,10 for profit
Note: The profit is $60 per bookshelf and $100 per table.
If x = 8, then y = 18-8 = 10.
The profit = 8*60 + 10*100 = $1480
If x = 9, then y = 18-9 = 9.
The profit = 9*60 + 9*100 = $1440
The choice of 8 bookshelves and 10 tables is more profitable.
Answer: 8 bookshelves and 10 tables.
Answer:
what to do will I show the image
Answer:
50 + 25 + (8*5) - (7 + 4)
Step-by-step explanation:
50 + 25 + (8*5) - 7 + 4 = 50 + 25 + 40 - 7 + 4
= 115 - 7 + 4
= 108 + 4
= 112
Unit price = price for one donut
if 12 donuts cost $8.50, then one donut would be:
$8.50/12 = 0.7083, or about $0.71
