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3 years ago

If you need one gallon of gas for 20miles how many gallon do you need for 364 miles?

Mathematics

1 answer:

ad-work [718]3 years ago

7 0

Divide total miles by miles per gallon:

364 miles / 20 miles per gallon = 18.2 gallons

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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

3 0

3 years ago

5x-15=50 (Show your work)

Zigmanuir [339]

5x - 15 = 50
Add 15 to both sides
5x = 65
Divide both sides by 5
x = 13

Hope this helped :)

3 0

3 years ago

Read 2 more answers

Two in-line skaters, Nell and Kristin, start from the same point and skate in the same direction. Nell skates at 16 miles per ho

Paha777 [63]

First, we count how far reached the Nell:
3,5 * 16 = 56 miles

Secondly, we count how far reached the Kristin:
3,5 * 18 = 63 miles

Now we expect the difference in the distance between them:
63 - 56 = 7 miles

The results that Kristin about seven miles driven more than Nell.

8 0

2 years ago

In how many ways can the letters in the word "math" be arranged?

BlackZzzverrR [31]

Number of ways = 4! = 4 x 3 x 2 x 1 = 24

Answer: 24

8 0

2 years ago

HELP ME!!!!! Which of the following is the solution to the inequality below!!!!

melamori03 [73]

$\bf -3(x-3)\ \textgreater \ 5-5x\implies -3x+9\ \textgreater \ 5-5x\implies 2x\ \textgreater \ -4
\\\\\\
x\ \textgreater \ \cfrac{-4}{2}\implies x\ \textgreater \ -2$

3 0

2 years ago