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qwelly [4]
3 years ago
5

At a restaurant you only have 20 dollars to spend on dinner. in addition to the cost of the meal you must pay only 5% sales tax

and leave a 15% tip what is the most expensive item you can order?
Mathematics
1 answer:
aev [14]3 years ago
4 0
Alright so to do this you need some basic algebra
you have to pay an extra 20% of whatever you buy
thus we can make the following equation
.2x+x=20  (since 20 is the amount of money you have)
combining the like terms,
1.2x=20
and finally, dividing both sides by 1.2
x=$16.67
don't forget to check!
.05*16.67=.83 (sales tax makes the total $17.5)
.15*16.67=2.5 (tip makes the total $20)
whaddya you know, it works!
most expensive item you can buy will cost $16.67
hope this helped!
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Answer:

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Step-by-step explanation:

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What is the approximate value of the hypotenuse? 10 inches 10. 25 inches 20. 25 inches 81 inches.
S_A_V [24]

Answer:

bts

Step-by-step explanation:

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8 0
2 years ago
Please help with only the circled ones (1-8)
mixas84 [53]

When you have an exponent divided by another exponent, you subtract the exponents (only when it has the same base)

For example:

\frac{x^8}{x^3} =x^{8-3}=x^5

\frac{x^3}{x^2} =x^{3-2}=x^{1}  


When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive

For example:

x^{-2}=\frac{1}{x^2}

\frac{1}{x^{-5}}=\frac{x^5}{1} = x^5

\frac{y^{-2}}{x^{-1}} =\frac{x^1}{y^2} =\frac{x}{y^2}


1. \frac{10^{15}}{10^3} =10^{15-3} = 10^{12}


2. \frac{(-3)^4}{(-3)^{-3}} =(-3)^{4-(-3)}=(-3)^{4+3} = (-3)^7


3. \frac{8}{8^3} =8^{1-3} = 8^{-2}=\frac{1}{8^2}


4. \frac{a^{12}}{a^2} =a^{12-2}=a^{10}


5. \frac{m^{-2}n^{16}}{m^{4}n^2} =(m^{-2-4})(n^{16-2})=(m^{-6})(n^{14})=\frac{n^{14}}{m^{6}}

This is one of the ways you could have done it


6. \frac{p^5q^{-10}}{p^6q^{-2}} =(p^{5-6})(q^{-10-(-2)})=(p^{-1})(q^{-8})=\frac{1}{p^1q^8} =\frac{1}{pq^8}


7. \frac{63x^{18}}{9x^{2} }   Divide 63 and 9

\frac{7x^{18}}{x^{2}} =(7)(x^{18-2})=(7)(x^{16})=7x^{16}


8. \frac{28r^4}{-7r^{15}} =(\frac{28}{-7} )(r^{4-15})=(-4)(r^{-11})=(-4)(\frac{1}{r^{11}} )=\frac{-4}{r^{11}}


[More information with exponents]

If you multiply an exponent directly with another exponent, you multiply the exponents together

For example:

(x^{2})^4=x^{2(4)}=x^8

(x^{3})^5 =x^{3(5)}=x^{15}


If you multiply a variable with an exponent by a variable with an exponent, you add the exponents

For example:

(x^{2}) (x^6)=x^{2+6}=x^8

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3 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.
TiliK225 [7]
3x+50=6x-10
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6 0
3 years ago
The data below represent a demand schedule.
ser-zykov [4K]

By using the midpoint approach, the price elasticity of demand between each of the given prices are:

  1. 5.50
  2. 2.25
  3. 1.17
  4. 0.63

<h3>What is the price elasticity of demand?</h3>

The price elasticity of demand measures the responsiveness of the quantity demanded by a consumer with respect to a specific change in price of the product, all things being equal (ceteris paribus).

By using the midpoint approach, the price elasticity of demand between each of the given prices is given by:

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (15 - 5)/[(15 + 5)/2]/(25 - 30)/[(25 + 30)/2]

Price elasticity of demand = 1/-0.1818

Price elasticity of demand = 5.50.

<h3>Part B.</h3>

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (25 - 15)/[(25 + 15)/2]/(20 - 25)/[(20 + 25)/2]

Price elasticity of demand = 0.5/-0.2222

Price elasticity of demand = 2.25.

<h3>Part C.</h3>

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (35 - 25)/[(35 + 25)/2]/(15 - 20)/[(15 + 20)/2]

Price elasticity of demand = 0.33/-0.2857

Price elasticity of demand = 1.17.

<h3>Part D.</h3>

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (45 - 35)/[(45 + 35)/2]/(10 - 15)/[(10 + 15)/2]

Price elasticity of demand = 0.25/-0.4

Price elasticity of demand = 0.63.

Read more on price elasticity here: brainly.com/question/24384825

#SPJ1

3 0
2 years ago
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