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ZanzabumX [31]
3 years ago
11

You gave the server at a restaurant a 22% tip and ended up paying $41.48. What was the price of your meal before you applied the

tip?
Mathematics
1 answer:
const2013 [10]3 years ago
7 0

Answer: The price of meal before the tip = $34.

Step-by-step explanation:

Given : The percentage of tip = 22% = 0.22 ( we divide a percentage by 100 to convert it into decimal)

Total amount paid ( including tip) =  $41.48

Formula for Total bill = Price of meal + Tip amount , where Tip amount= 22% of Price of meal.

Let x be the price of meal, then

Total bill =x + 0.22 x (x )

⇒ $41.48= x(1+0.22)  [ By distributive property]

⇒ $41.48 = x (1.22)

⇒ x= ($41.48) ÷ 1.22

⇒ x= 34

Hence, the price of your meal before you applied the tip = $34.

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vlabodo [156]
A great way to figure this out is to actually multiply it.  2/5 x 5/1      You can simplify numbers diagonally, so the two fives can both cancel out into ones. now we have 2/1 x 1/1, which is the same as 2x1    This equals 2, which is less than five.
One great thing to know is that anything multiplied by a number less than one (a fraction or a decimal) will always be smaller than the original number.

Answer: 2
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3 years ago
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Is the product of a positive number and a negative number a positive ​
quester [9]

Answer:

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3 years ago
At the park there is a pool shaped like a circle. A ring-shaped path goes around the pool. Its inner diameter is 22yd and its ou
jeka94
First, we need to think about what we're actually solving for: the area of the path. To find this, we can find the area of the whole thing, minus the area of the pool.

The diagram would look something like the picture I attached. We know that to find the area of a circle, you do πr^2. The radius is half of the diameter, so halve the diameters:

22/2 = 11 yards
32/2 = 16 yards

Then solve for the area of both circles.
π11^{2}= 121π ≈ <span>380.13 (area of the pool)</span>
π16^{2}= 256π ≈ <span>804.25 (area of the whole thing)
</span>
Next, subtract the area of the pool from the area of the whole thing to find the area of the walkway:
804.25 - 380.13 = 424.12 (area of the walkway)

Finally, divide the area of the walkway by 6 to see how many gallons of paint you'll need:

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3 years ago
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riadik2000 [5.3K]

Answer:

x=20; y=50 or (20, 50)

Step-by-step explanation:

Substitution means plugging in one variable's value that consists of the opposite variable. Because y=3x-10 is already specified, you can plug it into the second equation's y value. After doing that, it looks like this:

-4x+2y=20→-4x+2(3x-10)=20

Then you would distribute the 3 across the parentheses next to it, like this:

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Then, add like terms, like this:

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Now, you can plug 20 (x) into either equation, but the first one seems simpler so you would pick that. It would look like this:

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Solving would look like this:

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