Answer:
together rate = 1/20 min/job
one comp. rate = 1/(x-9) min/job
2nd comp. rate = 1/x min/job
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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
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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:
Given:
The wheel chair ramp is parallel to the ramp.
To find:
The value of x and y.
Solution:
If two lines are parallel, then the alternate interior angles are congruent.
4x° + 6y° = 86° --------- (1)
Similarly,
5x° + 6y° = 94°
Subtract 5x° from both sides.
5x° + 6y° - 5x° = 94° - 5x°
6y° = 94° - 5x° --------- (2)
Substitute (2) in (1).
4x° + 94° - 5x° = 86°
94° - x° = 86°
Subract 94° on both sides.
94° - x° - 94° = 86° - 94°
- x° = 86° - 94°
- x° = -8°
Multiply by -1 on both sides, we get
x = 8
Substitute x = 8 in (2).
6y° = 94° - 5(8)°
6y° = 54°
Divide by 6 on both sides, we get
y = 6
The value of x is 8 and y is 6.
Answer:
12 dollars each
Step-by-step explanation:
do the math
(a+b)(a²-ab+b²)
(2x+1)((2x)²-(2x)(1)+1²)
(2x+1)(4x²-2x+1)
C is answer
Answer: 15 ounces
Step-by-step explanation:
It is given that a company claims the average cereal in boxes of breakfast cereal = 15 ounces
And we know that the mean amount is nothing but the average amount of any data.
Mean is synonym word of average .
The statistical mean is the mean or average that is used to find the central tendency of the data in any question.
Thus, the expected mean amount of cereal per box = 15 ounces.
