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Law Incorporation [45]
3 years ago
15

Find the value of two numbers if their sum is 21 and their difference is 5

Mathematics
1 answer:
kykrilka [37]3 years ago
6 0

Answer: x = 13 and y = 8

Step-by-step explanation:

Two numbers must add to 21. We don't know them yet, so let's just use a placeholder for both of them for now.

x + y = 21

Their difference is five, meaning that if we subtract one from the other, we get five. Again, we don't know the numbers yet, so we'll add a placeholder for now.

x - y = 5

We can now solve a system of equations for x.

x = y + 5

y + 5 + y = 21

2y + 5 = 21

2y = 16

y = 8

x - 8 = 5

x = 13

So x = 13 and y = 8

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I don't know how to do this problem:
mariarad [96]

Answer:

3^3×3

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Explanation:

First you should solve the expression you've got there.

(3^6×3^-4)^2

3^6= 3×3×3×3×3×3 the answer is 729

3^-4 A negative exponent means repeated division by the base. So for example 2^-4=1/(2^4)

=1/(2×2×2×2)= 1/16

3^-4= 1/(3^4)

=1/(3×3×3×3)

= 1/81 If you look up the answer in your calculator the answer that will show up will be 0.01234567901

So!

(729×0.01234567901)^2= 9^2

9^2= 81

Now you can look at the following expressions and whichever gives the answer 81 will be correct.

hope it helps!

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3 years ago
It takes Ty 4 hours 30 minutes to read his favorite book, reading at a constant rate of 100 pages
AysviL [449]

Answer:

540 pages

Step-by-step explanation:

100 pages = 50 mins

??? pages = 270 mins (converted 4hrs 30 mins to minutes)

Now you could cross multiply to find what the number of pages are:

100 pages x 270  mins = 50 mins x ??? pages

27000 = 50 mins x ??? pages

27000/50 = ??? pages

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So there are 540 pages in his favourite book.

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3 years ago
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Answer:

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Step-by-step explanation:

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