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2 years ago

2r + 8 - r = -7 Combine like terms

Mathematics

2 answers:

professor190 [17]2 years ago

4 0

Answer: -15

Step-by-step explanation: 2r+8-r=-7

1r +8 = -7

1/1 -15/1

leva [86]2 years ago

4 0

Answer: r = -15

Step-by-step explanation:

2r - r = -7 -8

r = -15

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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:

Let length of the trip of Train W be = $x$ miles

Speed of Train W can be given as :

⇒ $\frac{Distance}{Time}$

⇒ $\frac{x}{20}\ miles/h$

So, the length of the trip of Train Z will be = $(x+400)$ 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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Jenny borrowed money from her mother to help pay for some bills. Her mother told her that she could borrow $1,200 at an interest

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Answer:

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Step-by-step explanation:

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Parallel to y = 4x - 6 through (6,-3)

kolbaska11 [484]

Answer:

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Step-by-step explanation:

Parallel lines have the same slope, so lets use 4 as the slope.

Plug in the slope, and the two points into point-slope form to find the y-intercept:

y+3=4(x-6)

1) Distribute the 4 to x and -6:

y+3=4x-24

2) Subtract 3 from both sides:

y=4x-27

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erastovalidia [21]

Answer:

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Step-by-step explanation:

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