(a)
We are given
A worker on the production line is paid a base salary of $230.00 per week
so, base salary =230
Let's assume number pencils produced as x
plus $0.78 for each unit produced
now, we can find equation for earnings

now, we are given
her earnings of $446.84 for a week when she produced x units
so, we can set E(x)=446.84
and then we can solve for x







so, number of pencils = 278........Answer
(b)
If the worker had produced twice that number of units
so, number of pencils =2*278=556
now, we can find earnings

now, we can plug x=556

.................Answer
Answer:
3/4
Step-by-step explanation:
The total number of children is 8 and the number of girls is 6. This can be represented as 6/8.
You would then need to simplify...
6/2=3
8/2=4
which which lead you to 3/4!
The closer Diana gets to the building, the smaller the angle becomes
Diana is 17.6 feet closer to the building
<h3>How to calculate the distance from the building</h3>
To calculate the distance between her and the building, we make use of the following tangent ratio

Where:

- h represents the height of the building; h = 130
- d represents the distance from the building
So, we have:

Make d the subject

Evaluate tan(40)


Initially, Diana is at a distance of 172.53.
The difference in both distance is:


Hence, Diana is 17.6 feet closer to the building
Read more about trigonometry ratios at:
brainly.com/question/4326804
The slope is the change in Y over the change in X
The change in y is -2-0 = -2
The change in X is 3-9 = -6
The slope is -2/-6, which simplifies to 1/3
Answer:
<h2>There remains 7/6 of pie.</h2>
Step-by-step explanation:
Givens
The remaining parts are 1/3 of one pie and 5/6 of the other pie.
To find how much pie is remaining, we just need to sum those fractions.

Therefore, there remains 7/6 of pie. They ate just 1/6.