Answer:
a. y = 10.25x - 60
b. $60
c. 6 hours
Step-by-step explanation:
To find slope of table we use rise/run aka change in y/change in x
- Get two y values, and two x values, ex: (13,73.25),(40,350), now find the change in y and x respectively, (350-73.25)/(40-13) = 276.75/27 = 10.25
- The slope is 10.25, now we find the y-intercept or the amount of money she starts at, using the equation, y = mx+b, m being the slope, b being the y-intercept, y/x being the axes.
- We plug in a x,y value on the same row, along with the slope we just found. 350 = (10.25)(40) + b, 350 = 410 + b, b = -60.
- Therefore the equation is y = 10.25x - 60
To find the amount of money she spent on her uniform, we can look at the value she started with.
- We find the y-intercept, which is already found in the previous question (a).
- The y-intercept or amount she payed for her uniform is $60
To find the amount hours, we can plug in values for y, to solve for x. 'y' is the axis for earnings, so if we set 'y' to 0, that would mean that 'x' amount of hours would make -60 become 0
- Set up the equation: 0 = 10.25x-60
- Solve for x: 60 = 10.25x, x ~= 5.85 hours
- Note that you have to round up to 6 hours because Erin is paid hourly, and working for only 5 hours is not enough, thus the answer would be 6 hours.
Answer:
He can purchase a maximum of 6 large candles.
Step-by-step explanation:
If he purchases 6 large candles and 14 small candles:
$5.00 x 6 = $30.00
$3.50 x 14 = $49.00
$49.00 + $30.00 = $79.00
Answer:
1/3
Step-by-step explanation:
3×x=1
x= 1/3
Answer:
1080
Step-by-step explanation:
just multiply all the numbers to get the area of the whole shape.
Answer:
In order to do so, we need to use basic algebra. The angles in a kite add up to 360 degrees. so we form the following equation.
x + y + y + 16 = 360
x + y + y = 344 <----(360 -16)
Each letter or variable represents an angle measure. the measures of the three angles left. The 16 degrees is on the bottom of the kite and the angle opposite is the top angle. the two side angles will be the same measure that's why they are both y.
x + 2y = 344
The two side angles will be 90 or greater because there is only 1 acute angle. 90 is the smallest number that can be chosen. so we do the following.
Step-by-step explanation:
x + 2(90) = 344
x + 180 = 344
x = 344-180
x = 164
THE MAXIMUM WHOLE NUMBER MEASURE OF THE ANGLE OPPOSITE OF THE 16 DEGREE ACUTE ANGLE IS 164 DEGREES*