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sergey [27]
3 years ago
5

A store has two different brands of laundry detergent. Brand A can do 105 loads of laundry and costs $21.99. Brand B does 80 loa

ds of laundry and costs $17.99. Which laundry detergent is the better buy and what is that detergent's unit price?
Answers:
A. Brand A $0.20
B. Brand A $0.21
C. Brand B $0.22
D. Brand B $0.23​
Mathematics
2 answers:
ycow [4]3 years ago
6 0
B. Brand A 0.21 is the better buy
coldgirl [10]3 years ago
3 0

Answer:

B. Brand A $0.21

Step-by-step explanation:

                                    (round to nearest cent)

Brand A: 21.99/105 = .2094 = .21 ( .2094 rounds to .21)

Brand B: 17.99/80 = .2248 = .22    ( .2248 rounds to .22)

Therefore Brand A is a better buy for $0.21 per load

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Find all solutions to the equation (x² + 5x + 6)(x² − 3x − 4) = 0.
Soloha48 [4]

Answer:

The solutions are:

x=-2,\:x=-3,\:x=-1,\:x=4

Step-by-step explanation:

To find the solutions to the equation \left(x^2+5x+6\right)\left(x^2-3x-4\right)=0 you need to:

  • Factor \left(x^2+5x+6\right)

Break the expression into groups

x^2+5x+6=\left(x^2+2x\right)+\left(3x+6\right)

Factor out x from (x^2+2x)

x^2+2x=x\left(x+2\right)

Factor out 3 from 3x+6

3x+6=3\left(x+2\right)

x^2+5x+6=x\left(x+2\right)+3\left(x+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+2\\\\x^2+5x+6=\left(x+2\right)\left(x+3\right)

  • Factor \left(x^2-3x-4\right)

x^2-3x-4=\left(x^2+x\right)+\left(-4x-4\right)\\\\x^2-3x-4=x\left(x+1\right)-4\left(x+1\right)\\\\x^2-3x-4=\left(x+1\right)\left(x-4\right)

Therefore

\left(x^2+5x+6\right)\left(x^2-3x-4\right)=\left(x+2\right)\left(x+3\right)\left(x+1\right)\left(x-4\right)=0

Using the Zero Factor Theorem:

5 0
4 years ago
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Ira Lisetskai [31]
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Read 2 more answers
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