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3 years ago

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At 3:25 p.m., two trains left Kalamazoo, Michigan. One train traveled westward at a constant rate of 82 miles per hour, while th

e other traveled eastward at a constant rate of 66 miles per hour. If they are now 11 miles apart, what time is it now?

1 answer:

olchik [2.2K]3 years ago

3 0

You would add 1 hour per mile apart so maybe 1:25 am but i might be wrong

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A Simple Random Sample reflects that ________ individual in the population has an ________ chance of being selected.

monitta

Answer:

any, equal

Step-by-step explanation:

A Simple Random Sample reflects that any individual in the population has an equal chance of being selected.

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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:

⇒ $\frac{x}{20}=\frac{x+400}{25}$

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

3 0

3 years ago

PRECALC HELP<br> please help with the image above (translation up and down)

garik1379 [7]

Answer:

fourth option

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Thus

f(x) = (x - 11)³ ← has been translated right by 11 units

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus

f(x) = (x - 11)³ + 4

represents a translation 11 units right and 4 units up

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3 years ago

Or what value of x does 4x=(1/8)^x+5?<br> –15<br> –3<br> 3<br> 15

liq [111]

Answer:

<h2>x = -3</h2>

Step-by-step explanation:

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3 years ago

Marcus bought 2 candy bars for $0.79 each, a drink for $1.49, and a bag of chips for $3.29. Sales tax was included. How much mon

Oksana_A [137]

Answer:

Marcus spent $6.36.

Step-by-step explanation:

First off, the fact that tax is included makes it easier for you, you don't need to worry about any multiplying!

Alright, so, he bought 2 candy bars for $0.79 EACH - that's 2 * $0.79 = $1.58.

Next, a drink for $1.49 and a bag of chips for $3.29. That's $1.49 + $3.29 = $4.78.

Now you add those two numbers up: $1.58 + $4.78 = $6.36.

Therefore, Marcus spent $6.36!

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2 years ago

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