Answer:
509.85/55= $9.27 old payment per thousand
610.50/55= $11.10 new payment per thousand
(11.10/9.27)-1= 0.197= 19.7% increase
There are 38 five point questions and 30 two points questions.
Step-by-step explanation:
Given,
Worth of points in test = 250
Number of questions = 68
Let,
x represent the number of 5 points questions
y represent the number of 2 points question
According to given statement;
x+y=68 Eqn 1
5x+2y=250 Eqn 2
Multiplying Eqn 1 by 2

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 3

Putting x=38 in Eqn 1

There are 38 five point questions and 30 two points questions.
Keywords: linear equation, elimination method
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Answer:
I would say the last one
Step-by-step explanation:
The third works the same way but 46/17 is hard to calculate without a calculator
Answer: -11m-8
Step-by-step explanation: first you would distribute (m+1) into -8 causing it to be -3m-8m-8 you then combine like terms getting you -11m-8
Answer:
It will take the apprentice 24 days working alone
Step-by-step explanation:
Let the number of days it takes the apprentice be x
It will take the landscaper x/3 ( since he is three times faster)
The rate for both will be 60/6 = 10 sq m per day
Rate for apprentice is 60/x
rate for the boss is 60/x/3 = 180/x
Adding the rates together;
60/x + 180/x = 10
240/x = 10
240 = 10x
x = 240/10
x = 24 days