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GenaCL600 [577]

3 years ago

10

What is the simplified form of the expression 3a + 7 - a - 7

2 answers:

Sonja [21]3 years ago

6 0

You can simplify expressions by simplifying parentheses by using the distributive property and combing like terms.

Combining like terms is the process of adding up numbers with the same variable(s) and exponent. If a term does not have an exponent then an exponent of 1 is implied.

There is no parentheses in the expression 3a + 7 - a - 7
But, there are like terms in the expression.

Which are the like terms?

3a and a are both like terms. They both have the same variables and they both have the same exponent.

7 and -7 are like terms, too.

3a + 7 - a - 7
2a

So, 2a is the simplified version.

Tems11 [23]3 years ago

6 0

Hi so -7 and +7 cancel out to be 0. 3a-a is 2a. So it's 2a+0. You don't need the +0 so it's just 2a

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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:

⇒ $\frac{x}{20}=\frac{x+400}{25}$

Solving for $x$

Multiplying both sides by 100 to remove fractions.

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

⇒ $5x=4(x+400)$

Using distribution.

⇒ $5x=4x+1600$

Subtracting both sides by $4x$

⇒ $5x-4x=4x-4x+1600$

⇒ $x=1600$

Thus, Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = $1600+400$ = 2,000 miles

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