Answer:
W=7
Step-by-step explanation:
-3W+27=6
Subtract 27 from both sides to isolate the variable.
-3W=-21
Divide by -3 to solve for W
w=7
Answer:
So total number which is not divisible by 11 = 89999-8181 = 81819
Step-by-step explanation:
We have to find the total numbers which are not divisible by 11 from 10000 to 99999
Total number from 10000 to 99999 = 99999-10000+1=90000
Just after 10000 the number which is divisible by 11 is 10010
And just below 99999 the number which is divisible by 11 is 99990
Using AP formula
, here a is first term, d is common difference and n is number of terms
So 
n-1 = 8180
n= 8181
So total number which is not divisible by 11 = 90000-8181 = 81819
Answer:
The cost of producing the article is -3500 (Negative cost)
Step-by-step explanation:
The given parameters are
The ratio of the profit to material cost to production labor = 5:7:13
The amount of the material cost = 840 + Labor cost
Let the total cost = X
Therefore, we have;
The fraction of the total cost that is material cost = 7/(5 + 7 + 13) = 7/25
Therefore, the material cost = 7/25 × X
The fraction of the total cost that is labor cost = 13/(5 + 7 + 13) = 13/25
Therefore, the labor cost = 13/25 × X
However, the amount of the material cost = 840 + Labor cost, which gives;
7/25 × X = 13/25 × X + 840
7/25 × X - 13/25 × X = 840
-6/25 × X= 840
X = 840/(-6/25) = 840×(-25/6) = -3500
The cost of producing the article = -3500.
Answer: probability = 0.506
Step-by-step explanation:
The data we have is:
Total people: 205 + 160 + 40 = 405
prefer cats: 205
prefer dogs: 160
neither: 40
The probability that a person chosen at random prefers cats is equal to the number of people that prefer cats divided the total number of people:
p = 205/405 = 0.506
in percent form, this is 50.6%
Answer:
ok so we know the amount we know the interest amount but we do know know the period of time so the equation would look like this
28000(0.4)T=I
T=Time
I=interest