Area = Length x Width
Substituting the given values:
16S^2 t = 8St^2 x Width
Manipulating for Width:
Width = 16S^2 t / <span>8St^2
Rewriting the squared terms in simplified form :
</span>Width = 16 x S x S x t / <span>8 x S x t x t
</span>Cancelling the like terms
Width = 16 x S / <span>8 x t
</span>Cancelling the numeric terms :
Width = 2S / <span>t</span>
Answer:
and 
Step-by-step explanation:
We require 2 equations with the repeating numbers placed after the decimal point.
let x = 0.1212...... (1) ← multiply both sides by 10
100x = 12.1212.... (2)
subtract (1) from (2) thus eliminating the repeating numbers
99x = 12 ( divide both sides by 99 )
x = 
= ← in simplest form
-------------------------------------------------------
let x = 0.037037....... (1) ← multiply both sides by 1000
1000x = 37.037037..... (2)
subtract (1) from (2) to eliminate the repeating numbers
999x = 37 ( divide both sides by 999 )
x = 
= ← in simplest form
9514 1404 393
Answer:
4,556
Step-by-step explanation:
Revenue from the sale of n books is ...
R = 24.25n
Production cost for n books is ...
C = 53533 +12.50n
These are equal for ...
24.25n = 53533 +12.50n
11.75n = 53533
n = 53533/11.75 = 4556
The publisher must produce 4556 books so sales will equal production cost.
Answer:
3/8
Step-by-step explanation:
Find and apply the LCD. In this case we have the three denominators 8, 10 and 5, which in factored form are 2(4), 2(5) and 1(5). The factors that make up the LCD are 2, 4 and 5, or 40. Note that 8, 10 and 5 all divide evenly into 40.
So our expression, 7/8-(-1/10)+(-3/5), can be rewritten as:
35/40 + 4/40 - 24/40, which simplifies first to 39/40 - 24/40, and then to:
15/40.
This 15/40 reduces to 3/8.
