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shepuryov [24]
3 years ago
15

Bess and Gina earn $45 per week for delivering flowers. Bess worked for x weeks and earned an additional total bonus of $20. Gin

a worked for y weeks. Which expression shows the total money, in dollars, that Bess and Gina earned for delivering flowers?
Mathematics
1 answer:
Inessa05 [86]3 years ago
8 0

Answer:

First option: 45x + 20 + 45y

Step-by-step explanation:

The missing options are:

45x + 20 + 45y\\65x + 45y\\45x - 20 + 45y\\\\45x + 65y

 We know that "x" represents the number of weeks Bess worked and "y" the number of weeks Gina worked.

According to the data  given in the exercise, Gina and Bess earn $45 per week for delivering flowers, this is:

45x+45y

Since earned an additional total bonus of $20, then the total money in  in dollars that Bess and Gina earned for delivering flowers can be shown with the following expression:

(45x+20)+45y=45x+20+45y

Notice that this expression matches with the one shown in the first option.

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Bond [772]

Answer:

  1. 3log(10) -2log(5) ≈ 1.60206
  2. no; rules of logs apply to any base. ln(x) ≈ 2.302585×log(x)
  3. no; the given "property" is nonsense

Step-by-step explanation:

<h3>1.</h3>

The given expression expression can be simplified to ...

  3log(10) -2log(5) = log(10^3) -log(5^2) = log(1000) -log(25)

  = log(1000/25) = log(40) . . . . ≠ log(5)

  ≈ 1.60206

Or, it can be evaluated directly:

  = 3(1) -2(0.69897) = 3 -1.39794

  = 1.60206

__

<h3>2.</h3>

The properties of logarithms apply to logarithms of any base. Natural logs and common logs are related by the change of base formula ...

  ln(x) = log(x)/log(e) ≈ 2.302585·log(x)

__

<h3>3.</h3>

The given "property" is nonsense. There is no simplification for the product of logs of the same base. There is no expansion for the log of a sum. The formula for the log of a power does apply:

  \log(a)\log(b)=\log(a^{\log(b)})=\log(b^{\log(a)})

Numerical evaluation of Mr. Kim's expression would prove him wrong.

  log(3)log(4) = (0.47712)(0.60206) = 0.28726

  log(7) = 0.84510

  0.28726 ≠ 0.84510

  log(3)log(4) ≠ log(7)

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Answer:

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Step-by-step explanation:

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11) 8

12) 24 x 10⁴

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Answer:

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Step-by-step explanation:

7 times 12 is 84. 4 times 21 is 84. The digits have a sum of 3.

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