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blsea [12.9K]
2 years ago
13

One number is five less than a second number. Three times the first is 14 more than 4 times the second. Find the numbers.

Mathematics
1 answer:
Evgen [1.6K]2 years ago
8 0

Answer:

Second number = -29

First number  = -34

Step-by-step explanation:

Second number = x

First number  = x - 5

3*(x-5) = 4x + 14

3x - 3*5 = 4x + 14

3x - 15  = 4x + 14

      -15 =  4x +14 - 3x

      -15 = x + 14

-14 - 15 = x

x = -29

Second number = -29

First number  = -29 - 5 = -34

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Answer:

24 inches.

Step-by-step explanation:

Given:

During a week the water level in a pond decreased by 4 in. Per day,

For two days, it decreased by half that amount = 4\times\frac{1}{2}=2\ inches\ per\ day

Question asked:

How much did the water level decrease in the pond in one week?

Solution:

As we know, there are 7 days in a week.

<u>For 5 days,</u>

Each day water level decreased by = 4 inches

In 5 days, water level decreased by = 4\times5=20\ inches

<u>For exceptional 2 days:</u>

Each day water level decreased by = 2 inches

In 2 days, water level decreased by = 2\times2=4\ inches

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Can you solve this? I need help. I don't understand.
ZanzabumX [31]

Answer:

2 sqrt(5) OR 4.5

Step-by-step explanation:

You have to know Pythagorean theorem to solve this question.

a^2 + b^2 = c^2

To use this theorem you have to have a right triangle. There are two right triangles in your image. The lower (larger) one has two sides labeled, so you can use Pythagorean thm to find the third side. There's a short cut, bc some right triangles have easy-to-memorize lengths of the sides. 3-4-5 is one of these number sets. A multiple of this is 6-8-10. We could've solved:

b^2 + 8^2 = 10^2

But it would've come out the same. The unlabeled side is 6.

We can use the 6 and the 4 on the smaller right triangle and use the Pythagorean thm again to solve for x.

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16 + x^2 = 36 subtract 16 from both sides.

x^2 = 20

Take the square root of both sides.

sqrt (x^2) = sqrt 20

x = 2 sqrt(5) which is approximately 4.472.

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