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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:

Given:  Principal(P) = $ 5000 , T = 3.5 years and R = 5%.

Using the formula of Simple Interest (I) given by;

I = \frac{P\times R \times T}{100} .......[1] , where P is the Principal amount of money to be invested, R be the rate of interest and T be the time.

Substitute the given values of P ,  R and T in [1] we have;

I = \frac{P \times R \times T}{100} = \frac{5000\times 5 \times 3.5}{100}

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3 years ago
Exercise 1: In the right triangle below, calculate the measurement of the unknown side. Show your work.
vekshin1

Answer:

Exercise 1:

base [b]=8cm

perpendicular [p]=6cm

hypotenuse [h]=?

<u>By</u><u> </u><u>using</u><u> </u><u>Pythagoras</u><u> </u><u>law</u>

h²=p²+b²

h²=6²+8²

h=√100

h=10cm

<u>So</u><u> </u><u>another</u><u> </u><u>side's</u><u> </u><u>length</u><u> </u><u>is</u><u> </u><u>1</u><u>0</u><u>c</u><u>m</u>

<u>Exercise</u><u> </u><u>2</u><u>:</u>

base [b]=6m

perpendicular [p]=bm

hypotenuse [h]=8m

By using Pythagoras law

h²=p²+b²

8²=b²+6²

b²=8²-6²

b=√28=2√7 0r 5.29 or 5.3

So height of kite is√<u>28</u><u>o</u><u>r</u><u> </u><u>2√7 0r 5.29 or 5.3 m</u>

Step-by-step explanation:

[Note: thanks for translating]

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A temperature record in Antarctica was -120.the temperature recorded in the Sahara desert was 129.how many degrees warmer is 129
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129 is 249 degrees warmer than -120 because -120+120=0 and then you add 129 to 0 which is 129. that means you add 120 and 129 to get 249

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Answer:

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Step-by-step explanation:

i) 813 = 800 + 10 + 3 = (8 \times 10^{2} ) + ( 1\times 10^1 ) + ( 3 \times 10^0 )  

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