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strojnjashka [21]
3 years ago
13

An advertising agent goes on vacation to three countries, India, New Zealand and Australia. He spends three times the number of

days in New Zealand than he does in Australia and five days longer in India than in Australia. If his total vacation duration is 40 days, how many days did he spend in Australia? (5 marks)
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
7 0

Answer: 7 days.

Step-by-step explanation:

Let the number of days agent spent in Australia be x.

Then, Number of days he spent in New Zealand = 3x

and number of days he spent in India = x+5

According to the question we have the following eqauation,

x+3x+x+5=40\\\\\Rightarrow\ 5x+5=40\\\\\Rightarrow\ 5x=40-5\\\\\Rightarrow\ 5x=35\\\\\Rightarrow\ x=\dfrac{35}{5}=7

Hence, he spent 7 days in Australia.

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What is the area of a circle with a diameter of 16?
tigry1 [53]

Answer:

<h2>64π</h2>

Step-by-step explanation:

A = π r2

diameter : 2 = r

16 : 2 = 8

A = 8²π

A = 64π

3 0
3 years ago
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A farmer feeds her four horses 64 bales of hay each week. How many bales of hay would the farmer need in order to feed six horse
jekas [21]

Answer:

96 bales

Step-by-step explanation:

\frac{64}{4} = \frac{x}{6}

You must multiply 6 by 64, which is 384.

Then you divide that by 4, which is 96.

Therefore, the answer is 96.

Also, I lined up the bales in the same row and horses in the same row, so this way can help. It can also help if it's in the same column though, but I hope this helped you!

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a model train has a scale of 1 in: 7 ft. If the real train is 14 ft. tall, how tall is the model train?
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4 0
3 years ago
A sugar molecule with 45 atoms has twice as many atoms of hydrogen as
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The vertex of a parabola is at (8,-1)and its y-interpret is-17. Which function represents the parabola
Ilia_Sergeevich [38]

Answer:

D

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The equation of a parabola in vertex form is

y = a(x - h)² + k

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