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2 years ago

The sales tax rate in New Mexico is $5.125%.

Mathematics

1 answer:

madreJ [45]2 years ago

6 0

Answer:

<em>The tax is $1.54 and the price after tax is $31.54</em>

Step-by-step explanation:

<u>Percentages</u>

The procedure to add a percentage ratio p to a given quantity q is:

* Calculate the increase as i = p*q/100

* Add the increase to the original quantity to get the final quantity f=q + i

It's given the sales tax rate in New Mexico is p=5.125%. A pair of pants in New Mexico costs q=$30 before tax.

* The increase (tax) is i = (5.125*30)/100 = $1.54

* The price after tax is f = $30 + $1.54 = $31.54

The tax is $1.54 and the price after tax is $31.54

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Find the number that makes the ratio equivalent to 2:6.<br><br> 8:

Citrus2011 [14]

A ratio is used to describe how two or more quantities are related. For example, we might say that a fruit drink calls for sugar crystals to be mixed with water in a ratio of 2:6. This means that for every 2 scoops sugar crystals, there will need to be 6 ounces of water. If there were 200 scoops of sugar crystals, there would need to be 600 ounces of water.

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3 years ago

Juliet rented a car for one day from a company that charges $80 per day plus $0.15 per mile driven. If she was charged a total o

svlad2 [7]

Answer:

B) 120

Step-by-step explanation:

m = miles

$98=$80+$0.15m

$98-$80=$80-$80+$0.15m

$18=$0.15m

$18/$0.15=$0.15m/$0.15

120=m

Juliet drove 120 miles for $98.

(this is a good explanation, I guess)

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3 years ago

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Darya [45]

Answer:

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2 years ago

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omeli [17]

101.66 ÷ 4.42 = 23 square feet

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3 years ago

Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance be

zheka24 [161]

<h2>Hello!</h2>

The answer is:

$FirstCarSpeed=41mph\\SecondCarSpeed=55mph$

To calculate the speed of the cars, we need to write two equations in order to create a relation between the two speeds and be able to isolate one in function of the other.

So, let be the first car speed "x" and the second car speed "y", writing the equations we have:

For the first car:

$x_{FirstCar}=x_o+v*t$

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

$x_{SecondCar}=x_o+(v+14mph)*t$

Now, we already know that both cars met after 2 hours and 45 minutes, meaning that positions will be the same at that moment, and the distance between A and B is 264 miles, so, we can calculate the relative speed between them:

If the cars are moving towards each other the relative speed will be:

$RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph$

Then, since we know that they covered a combined distance which is equal to 264 miles of distance in 2 hours + 45 minutes, we have:

$2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours$

Writing the equation, we have:

$264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph$

We have that the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

$SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph$

Hence, we have that:

$FirstCarSpeed=41mph\\SecondCarSpeed=55mph$

Have a nice day!

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3 years ago

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