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Natali5045456 [20]
3 years ago
9

3. Mrs. Noah’s bill, before tax, is $50. The sales tax rate is 3%. Mrs. Noah decides to leave a 2% tip for the gate keeper based

on the pre-tax amount. How much will the total bill be, including tax and tip?
Mathematics
1 answer:
Olegator [25]3 years ago
5 0

Answer:  The total bill will be $52.5

Step-by-step explanation:

Hi, to answer this question, first we have to multiply the amount of the bill before tax (50) by the sale tax rate in decimal form (divided by 100)

Mathematically speaking:

50 x (3/100) = 50 x 0.03 = $1.5 (sales tax amount)

Next, we have to multiply the amount of the bill before tax (50) by the tip percentage in decimal form:

50 x (2/100) = 50 x 0.02 = $1 (tip amount)

Finally, we have to add both amounts to the original bill:

50+1.5+1 = $52.5

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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 :

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⇒ \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}

⇒ 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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