She will get $1.42 in change
10-8.58=1.42
A 2.09% increase.
This is just some simple multiplication. A 23% increase is the same as multiplying by 1.23, and a 17% decrease is like multiplying by 0.83, since 100-17=83. Just multiply 1.23*0.83, which equals 1.0209, or a 2.09% increase.
The x value will be 109°. The straight line formed a 180° angle. Solving the equation yields the angle.
<h3>What are supplementary angles?</h3>
Supplementary angles are two angels whose sum is 180°. When a straight line intersects a line, two angles form on each of the sides of the considered straight line.
Those two-two angles are supplementary angles in two pairs. That is, if two supplementary angles are adjacent to each other, their exterior sides form a straight line.
The straight line formed a 180° angle. The resulting equation is as follows:
⇒x+42°+29°=180°
⇒x=109°
Hence, the value of the x will be 109°
The complete question is:
AB is a straight line.
Work out the size of angle x.
Not drawn accurately
42°
Х
29°
А
B
To learn more about supplementary angles, refer to:
brainly.com/question/12919120
#SPJ1
Billy get 5.9% raise after completing first year.
<h3>What is PERCENTAGE?</h3>
A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
Here, Billy's initial salary = $ 42,500
After raise, salary become $ 45,000
Change in salary = Raised salary - Initial salary
= 45000 - 42500
= $ 2500
% Change = change / initial salary X 100
= 2500 / 42500 X 100
= 0.0589 X 100
≈ 5.9 %
Thus, Billy get 5.9% raise after completing first year.
Learn more about Percentage from:
brainly.com/question/14979505
#SPJ1
The question asks for the rate of toys per hour.
So we shall divide the total toys assembled by the total hours.
Its a five day week.
The number of hours allotted per day are 8.
So total allotted during the week are 8 × 5 = 40 hours.
Number of toys made during the week are 400.
Hence the number of toys assembled per hour per person
= number of toys / number of hours
= 400 / 40
= 10 toys per hour per person.
The average number of toys assembled per hour per person is 10.
