Firts, Let
be the repeated decimal that we are trying to convert , so
equation (1)
Next, lets find how many digits are repeating:
It is pretty cleat that 90 is repeating, and 90 has two digits. So we are going to multiply our equation by 100 to move the decimal point two places:
(2)
Subtract equation (1) from equation (2):
Solve for
We can conclude that 10.9090909091... expressed as a rational number, i<span>n the form pq where p and q are positive integers with no common factors, is </span>
.
Answer:
True. The graph will shift down if we subtract a number from "b"
Step-by-step explanation:
"b" represents the y-intercept, or how high up on the y axis the graph intersects.
If we don't change anything except for the y-intercept, then the graph should only move up or down.
Because we are decreasing the value of "b" the y intercept will decrease, dragging the graph of y down.
Answer:
1900
Step-by-step explanation:
Answer:
28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms
Step-by-step explanation:
Given :A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r).
To Find : If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms?
Solution:
Total Strands = 80
White Strands = 35%
No. of white strands = 
Blue Strands = 25%
No. of blue strands = 
Red Strands = 40%
No. of Red strands = 
Hence 28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms
I'm assuming you meant to write a^4 = 625.
If that is the case, then note how 625 = 25^2, and how a^4 is the same as (a^2)^2
So we go from this
a^4 = 625
to this
(a^2)^2 = 25^2
Apply the square root to both sides and you'll end up with: a^2 = 25
From here, apply the square root again to end up with the final answer: a = 5 or a = -5
As a check:
a^4 = (-5)^4 = (-5)*(-5)*(-5)*(-5) = 25*25 = 625
a^4 = (5)^4 = (5)*(5)*(5)*(5) = 25*25 = 625
Both values of 'a' work out
