Answer:
She has approximately 3 pieces ( 2.625)
Step-by-step explanation:
To get the number of pieces, we need to divide the length of the wire by the individual length of the pieces.
To get the division done, it would be easier to convert what we have into improper fractions
For the piece of wire, the length which is 4 and 3/8 centimeters long will be 35/8 centimeters
while;
the individual length of each of the piece which is 1 and 2/3 centimeters long will be 5/3 centimeters
The number of pieces is thus 35/8 divided by 5/3 = 35/8 * 3/5 = 21/8 = 2.625 which is approximately 3 pieces
Answer:
The percentage increase in worker wages in hourly rate of pay is 16.5%
Step-by-step explanation:
Given as :
The Initial wages earn by worker = $ 5.15 per hour
The Final wages earn by worker = $ 6 per hour
Let The percentage increase in her hourly rate of pay = x %
Now, According to question
x % = 
or, x =
× 100
or, x =
× 100
or, x = 0.165 × 100
∴ x = 16.5%
So , Percentage increase in wages = x = 16.5 %
Hence The percentage increase in worker wages in hourly rate of pay is 16.5% Answer
The rate at 14% and 5% are $12, 883 and $2191 respectively.
<h3>How to determine the rate</h3>
Given that;
Invested amount = $ 15, 074 at 14% and 5%
Let rate at 14% = x
rate at 5% = y
We have rate at 9% exceeds that of 5% by $1694. 07
Hence,
0. 14x = 0. 05y + $1694. 07 ⇒ equation 1
x + y = $15, 074 ⇒ equation 2
Make 'x' the subject
x = 
Substitute in equation 2

Expand the expression

Collect like terms

Make 'y' the subject
y = 
y = 
Substitute the value in equation 2
x + y = $15, 074
x = $15, 074 - y
x = 
x = $12, 883
Therefore , the rate at 14% and 5% are $12, 883 and $2191 respectively.
Learn more about simultaneous equations here:
brainly.com/question/16863577
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