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:
A 3 and 8
Step-by-step explanation:
if a/b=c/d, the extremes are "a" and "d". The means would then be "b" and "c"
Answer:
look at step by step
Step-by-step explanation:
A) That is the number of bacteria that originally started in the culture
B) That is the rate at which the bacteria will reproduce
C) 1000 represents the number of bacteria at the beginning of the second culture.
The first study started with more bacteria, and will grow faster because of this
Let
x--------------> total volume of a glass
we know that
(4/7)x-70=(2/4)x------------> (4/7)x-70=(1/2)x--------> 2*(4/7)x-2*70=x
(8/7)x-140=x
<span>multiplied by 7 the expresion
</span>7*(8/7)x-7*140=7*x-----------> 8x-980=7x--------> x=980 cm³
the answer is
<span>the total volume of the glass is 980 cm</span>³
