Answer:
together rate = 1/20 min/job
one comp. rate = 1/(x-9) min/job
2nd comp. rate = 1/x min/job
-------------------------------
Equation:
rate + rate = together rate
1/x + 1/(x-9) = 1/20
---
20(x-9) + 20x = x(x-9)
40x-9*20 = x^2-9x
---
x^2-49x + 180 = 0
Factor:
(x-45)(x-4) = 0
Realistic solution since 4-9 is negative:
x = 45 minutes
then
x-9 = 36 minutes (faster computer time to do the job)
Step-by-step explanation:
Answer:
Quite simple. There are 52 weeks in a year. She gets paid 26 times, every other week.
38,350 / 26 = her salary from last year per check.
46,462 / 26 = her new salary per check
(46,462 - 38,350) / 26 = the difference per week
Answer:
The height of the triangle is 6.4cm
Step-by-step explanation:
- If the triangle has a side that measures 12.5cm, it means that two of its sides are equal in length.
Which is equivalent to the description of an isosceles triangle.
To find the height, use the equation of the area.
Area = (Base * height) / 2
- We know the value of the area and its shorter side that could be the base.
40cm = (12.5 cm * h) / 2
- Clearing the height would give that:
80cm / 12.5cm = h
h = 6.4cm
The height of the triangle is 12.5cm
Answer:
Since angle G is
✔ the largest
angle, the opposite side, JH, is
✔ the longest side
.
The order of the side lengths from longest to shortest is
✔ HJ, GH, and GJ
.
Step-by-step explanation:
