35 pencils would cost $2.80,
$1.60 / 20 = $.08
Each pencil costs $0.08 each
.08 * 35 = 2.80
Answer:
With the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.
Step-by-step explanation:
A group conducted a poll of 2083 likely voters.
The results of poll indicate candidate A would receive 47% of the popular vote and and candidate B would receive 44% of the popular vote.
The margin of error was reported to be 3%
So we are given two proportions;
A = 47%
B = 44%
Margin of Error = 3%
The margin of error shows by how many percentage points the results can deviate from the real proportion.
Case I:
A = 47% + 3% = 50%
B = 44% - 3% = 41%
Candidate A wins
Case II:
A = 47% - 3% = 44%
B = 44% + 3% = 47%
Candidate B wins
As you can see, with the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.
Answer:
Price of Caleb's groceries before tax = $64
Step-by-step explanation:
Let the price of groceries before tax be =$ 
Sales tax charged = $1.60
Sales tax rate =2.5%
Sales tax charged in terms of will be = 2.5% of the Original price of grocery =
So, we have,
Dividing both sides by 
∴ 
∴ Price of Caleb's groceries before tax = $64
Answer:it will the take 5 mitutes
Step-by-step explanation:
Let x represent the distance at which both companies charge the same amount.
Let y represent the cost of x miles when using company A.
Let z represent the cost of x miles when using company B.
Company A charges a flat fee of $4 plus $2 per mile. It means that
y = 4 + 2x
Company b does not charge a flat fee but charges $2.80 per mile driven. This means that
z = 2.8x
To determine the distance before both plans will be be the same, we would equate both equations. It becomes.
4 + 2x = 2.8x
2.8x - 2x = 4
0.8x = 4
x = 4/0.8 = 5
