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marysya [2.9K]
3 years ago
5

Solve for x 3 x − 8 ≤ 23 AND − 4 x + 26 ≥ 6 Please help thank you!!

Mathematics
1 answer:
MAXImum [283]3 years ago
8 0

To solve for x, you need to isolate/get the variable "x" by itself in the inequality:

3x - 8 ≤ 23       Add 8 on both sides

3x - 8 + 8 ≤ 23 + 8

3x ≤ 31         Divide 3 on both sides to get "x" by itself

\frac{3x}{3} \leq \frac{31}{3}

x\leq \frac{31}{3}     (x is any number less than or equal to 31/3)

-4x + 26 ≥ 6          Subtract 26 on both sides

-4x ≥ -20      Divide -4 on both sides [When you multiply/divide by a negative number to both sides of an inequality, you flip the sign </>]

\frac{-4x}{-4} \geq \frac{-20}{-4}   (two negative signs cancel each other out and become positive)

x ≤ 5     (x is any number less than or equal to 5)

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When converted to a household measurement, 9 kilograms is approximately equal to a
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Answer:

D) 19.8 lbs

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9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

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3 years ago
What is the final balance for the investment?
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3 years ago
A boat can travel 21mph in still water. If it travels 270 miles with the current in the same length of time it travels 108 miles
erica [24]

Answer: the speed of the current is 9 mph.

Step-by-step explanation:

Let x represent the speed of the current.

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Time = distance/speed

Time spent by the boat in travelling 270 miles is

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In the same length of time, it travels 108 miles against the current. It means that the total speed with which the boat travelled against the current is (21 - x) mph.

Time = distance/speed

Time spent by the boat in travelling 108 miles is

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Since the time is the same, then

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270(21 - x) = 108(21 + x)

5670 - 270x = 2268 - 108x

108x + 270x = 5670 - 2268

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3 years ago
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vagabundo [1.1K]
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