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Allisa [31]
3 years ago
5

Twenty-five subtracted from one-half a number is 10.What is the number?

Mathematics
1 answer:
pochemuha3 years ago
6 0

Answer:

70

Step-by-step explanation:

The simplest way to find the number is work backwards. If you know the final answer is 10, start with 10 and make the number x. Then set up the original equation.

0.5x-25=10

Then start working backwards(isolate).

0.5x-25=10

      +25  +25

in other words, 10+25=0.5x. (the 25 cancels out because -25+25=0)

10+25=35, so 35=0.5x.

Now, instead of dividing by 2, multiply by 2(opposite again).

35=0.5x

/0.5(aka *2)     /0.5(cancels out)

now you are left with 70=x, so the number is 70.

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Find three consecutive odd integers such that the sum of the first and the third is 34,
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Answer:

15,17,19

Step-by-step explanation:

assume the first number is X which means the third number will be X+4 so X+ X+4=34

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6 0
3 years ago
From base camp, a hiker walks 3.5 miles west and 1.5 miles north. Another hiker walks 2 miles east and 0.5 miles south. To the n
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Answer:

The hikers are 5.9 miles apart.

Step-by-step explanation:

Let O represents the base camp,

Suppose after walking 3.5 miles west, first hiker's position is A, then after going 1.5 miles north from A his final position is B,

Similarly, after walking 2 miles east, second hiker's position is C then going towards 0.5 miles south his final position is D.

By making the diagram of this situation,

Let D' is the point in the line AB,

Such that, AD' = CD

In triangle BD'D,

BD' = AB + AD' = 1.5 + 0.5 = 2 miles,

DD' = AC = AO + OC = 3.5 + 2 = 5.5 miles,

By Pythagoras theorem,

BD^2 = BD'^2 + DD'^2

BD = \sqrt{2^2 + 5.5^2}=\sqrt{4+30.25}=\sqrt{34.25}\approx 5.9

Hence, the hikers are 5.9 miles apart.

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