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2 years ago

Simplify 2(x – 4) – 3(x+2)

Mathematics

1 answer:

Liono4ka [1.6K]2 years ago

5 0

Answer: =−x−14

Step-by-step explanation:

2(x−4)−3(x+2)

Distribute:

=(2)(x)+(2)(−4)+(−3)(x)+(−3)(2)

=2x+−8+−3x+−6

Combine Like Terms:

=2x+−8+−3x+−6

=(2x+−3x)+(−8+−6)

=−x+−14

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3 years ago

Two trains start from Fort Worth traveling at the same speed. The trip for Train W takes 20 hours, while the trip for Train Z ta

MrMuchimi

Answer:

The equation that best models this situation is :

b. $\frac{x}{20}=\frac{x+400}{25}$

Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 2,000 miles

Step-by-step explanation:

Given:

Time taken for Train W to complete a trip = 20 hours

Time taken for Train Z to complete a trip = 25 hours

The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.

both trains have same speeds and start from same location.

To find the distance in total each train travels.

Solution:

<em>Let length of the trip of Train W be </em>= $x$ miles

Speed of Train W can be given as :

⇒ $\frac{Distance}{Time}$

⇒ $\frac{x}{20}\ miles/h$

<em>So, the length of the trip of Train Z will be</em> = $(x+400)$ miles

Speed of Train Z can be given as :

⇒ $\frac{Distance}{Time}$

⇒ $\frac{x+400}{25}\ miles/h$

Since the speeds are same, so the equation to find $x$ can be given as:

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Solving for $x$

Multiplying both sides by 100 to remove fractions.

⇒ $100\times \frac{x}{20}=100\times \frac{x+400}{25}$

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Using distribution.

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⇒ $x=1600$

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Answer:

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