Three times the sum of a number and 17 is at least 22 translate

1 answer:

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Hi there!
We are given a question that asks us to translate some given information into numerical format, or numbers. We can do that by first finding key words. Such words are sum and at least. Sum indicates addition, while at least indicates a greater than or equal to sign, or ≥. Now that we have found our key info, we can move on.
The question states that 3 times the sum of a number and 17. The 'sum of a number and 17' part can be represented by the expression x + 17, where x is some number. Next, three times means that we need to multiply 3 to the expression x + 17, giving us 3(x + 17). Finally, the question gives us that the whole expression 3(x + 17) is 'at least', or greater than or equal to, 22. Hence, we get the inequality 3(x + 17) ≥ 22, which is also our answer. Hope this has come of assistance to you and have a great day!

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you are traveling to an island that is accesible only by boat. you plan to take one boat there and a different boat back. You'll

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$\text{Answer: }\text{Distance traveled by steamboat}=20\text{ knots}\\\text{Distance traveled by yacht }=20+20=40\text{ knots}$

Step-by-step explanation:

Since we have given that

Time taken by steamboat makes the trip=5 hours

Time taken by yacht makes the trip =2.5 hours

Since we have also given that

the yacht is 20 knots faster than the steamboat,

So let the speed of steamboat be x

Let the speed of yacht be x+20

Now, we have given that both boats will travel the same distance ,

So,

$\text{Distance traveled by steamboat}=\text{ Distance traveled by yacht}\\\\x\times 5=(x+20)\times 2.5\\\\5x=2.5x+50\\\\5x-2.5x=50\\\\2.5x=50\\\\x=\frac{50}{2.5}\\\\x=20\text{ knots}$