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xxTIMURxx [149]
3 years ago
14

Jackie is thinking of one number and Adrian is thinking of another. Camila thought if I take these two numbers, they have a prod

uct of 567 and a difference of six. Jackie’s number is higher than Adrian’s. What are Jackie’s and Adrian’s numbers?
Mathematics
1 answer:
ladessa [460]3 years ago
4 0

Answer:

  • Jackie: 27
  • Adrian: 21

Step-by-step explanation:

Integers with a product of 567 are ...

  567 = 1·567 = 3·189 = 7·81 = 9·63 = 21·27

The last of these pairs of factors have a difference of 6, so they are the answers.

Jackie's number is 27; Adrian's number is 21.

_____

You could let "a" represent Adrian's number and write the equation ...

  a(a +6) = 567

  a^2 +6a +9 = 576 . . . . . complete the square

  (a +3)^2 = 24^2 . . . . . . . write as squares

  a = -3 +24 = 21 . . . . . . . . take the positive square root; subtract 3

Adrian's number is 21; Jackie's number is 27.

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Answer:

Total time spent by Tiwa to set up the computer and install software = 6 hours

Step-by-step explanation:

Given:

Time spent by Tiwa to set up  her computer = 1\frac{1}{2}\ hours

Time spent to install the software is 3 times the time she took to set up the computer.

To find the total time Tiwa took to set up her computer and install the software.

Solution:

Time spent by Tiwa to install the software can be given as:

⇒ 3\times 1\frac{1}{2} \ hours

<em>In order to multiply mixed numbers we first change them to fractions.</em>

We multiply the denominator to the whole number and add the numerator to it. Then we write the number as numerator of a fraction with the same denominator.

So, 1\frac{1}{2}=\frac{3}{2}

So, we have:

⇒ 3\times \frac{3}{2}\ hours

⇒ \frac{9}{2}\ hours

Total time spent by Tiwa to set up the computer and install software can be given as:

⇒ \frac{3}{2}\ hours+\frac{9}{2}\ hours

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⇒ \frac{3+9}{2}\ hours

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4 0
3 years ago
(3Q) Find the amplitude and period of f(t)= -tan.0t
Vanyuwa [196]

Answer:

It has no amplitud and the period is 5pi/2

Step-by-step explanation:

Given a function of the following type:

f(t) = AtanB(t + C)

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In this case, we have f(t)= -tan0.4t. Then:

B = 0.4

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Therefore, the answer is: It has no amplitud and the period is 5pi/2

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3 years ago
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4 years ago
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Answer:

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