Zoe paid 18.60 in sales tax and tips for dinner. The sales tax is 11% and she tipped 20%. What was the price of Zoe’s dinner before sales tax and tip?

Answers

Answer 1
Answer:

Answer:

$60 was the price of Zoe's dinner, before sales tax and tip.

Step-by-step explanation:

  • Sales tax = 11% * original price = 0.11 * x= 0.11x
  • Tips for dinner = 20% * original price = 0.20 * x = 0.2x
  • 0.11x + 0.2x = 18.60
  • 0.31x = 18.60
  • x = 60
  • $60 was the price of Zoe's dinner, before sales tax and tip.
Answer 2
Answer:

Answer:

$60 was the price of Zoe's dinner, before sales tax and tip.

Step-by-step explanation:

1. Sales tax = 11% times original price = 0.11 times x= 0.11x

2. Tips for dinner = 20% times original price = 0.20 times x = 0.2x

3. 0.11x + 0.2x = 18.60

4. 0.31x = 18.60

5. x = 60

6. $60 was the price of Zoe's dinner, before everything else


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Point J is on line segment IK. Given JK=x+6, IJ=9, and IK=2x, determine the numerical length of JK.

Answers

The numerical length of JK is 21 units.

Given that, point J is on line segment IK.

We need to determine the numerical length of JK.

What is a line segment?

In geometry, a line segment is a part of a line that is bounded by two distinctend points and contains every point on the line that is between its endpoints.

Given JK=x+6, IJ=9, and IK=2x.

Now, IK=JK+IJ

⇒2x=x+6+9

⇒2x=x+15

⇒x=15

Now, JK=x+6=21

Therefore, the numerical length of JK is 21 units.

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The distance of the line segment is solved and length of JK = 21 units.

Given data:

Since point J is on the line segment IK, the sum of lengths JK and IJ should be equal to the length of the whole line segment IK.

IJ + JK = IK

IJ = 9

IK = 2x

Now, substitute the values and solve for JK:

9 + JK = 2x

To find JK, we need to isolate it on one side of the equation. Subtract 9 from both sides:

JK = 2x - 9

Now, we are also given that JK = x + 6, so we can set these two expressions equal to each other:

2x - 9 = x + 6

Subtract x from both sides:

2x - x = 6 + 9

x = 15

Now, substitute the value of x back into the expression for JK:

JK = 2(15) - 9

JK = 30 - 9

JK = 21

Hence, the numerical length of JK is 21 units.

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Whats 3P2 ?please need for math

Answers

Permutation:\ \ \ 3P2= (3!)/((3-2)!) = (2\cdot3)/(1) =6

Rathan thinks all factors of even numbers are even. Which explains whether Rathan is correct? He is correct because the product of 2 and any number is even.
He is correct because the product of two even numbers is even.
He is incorrect because the product of an even number and an odd number is even.
He is incorrect because the product of two odd numbers is odd

Answers

The answer to this would be C, the third of the options. This is the only response that fully answers the question. For example, two factors of 42 would be 6 and 7, and both are not even, so given the absolute nature of Rathan's belief, there is no exception that can be made to make him correct. I hope this helps, and if it was sufficient to make you understand fully set it to the brainliest answer. Have a nice day! =)

The correct answer is:

He is incorrect because the product of an even number and an odd number is even.  

Explanation:

When you multiply any number by an even number, whether it is even or odd, the product will be even.

This means that an even number can have an odd factor, and Rathan is incorrect.

IT'S TIMED NEED HELP ASAP!! Find the measure of angle C

Answers

Answer: 250 degrees

Step-by-step explanation:

Answer:

x=(1)/(7)

15(1/7)+5= 7.14 (rounded o the nearest hundredths)

I hope this is good enough:

if a number is a natural number, then it is also a whole number? what is the Inverse, the Converse, the Contrapositive, and the Bi-Conditional? and what is the Truth value for each one?

Answers

     I believe you're learning geometry. Anyways, here are examples of natural numbers: 1, 2, 3... Meanwhile, here are examples of whole numbers: 0, 1, 2, 3... Natural numbers are all the positive whole numbers. Whole numbers are quantities that are both positive and neutral, and don't include any fractions or decimals. 

Ray is purchasing a laptop that is on sale for 25% off. He knows the function that represents the sale price of his laptop is c(p) = 0.75p, where p is the original price of the laptop. He also knows he has to pay 8% sale's tax on the laptop. The price of the laptop with tax is f(c) = 1.08c, where c is the sale price of the laptop.Determine the composite function that can be used to calculate the final price of Ray's laptop by solving for f[c(p)].
f[c(p)] = 1.83p
f[c(p)] = 1.83cp
f[c(p)] = 0.81p
f[c(p)] = 0.81cp

Answers

Answer: f(c(p))=0.81p

Step-by-step explanation:

Given: Ray is purchasing a laptop that is on sale for 25% off.

The function that represents the sale price of his laptop is c(p) = 0.75p, where p is the original price of the laptop.

The percent of tax on laptop=  8%

The price of the laptop with tax is f(c) = 1.08c, where c is the sale price of the laptop.

The composite function that can be used to calculate the final price of Ray's laptop will be:-

f(c(p))=1.08(0.75p)\n\n\Rightarrow\ f(c(p))=1.08*0.75p\n\n\Rightarrow\ f(c(p))=0.81p

Given:
c(p) = 0.75p
f(c) = 1.08c

f[c(p)] = 1.08*0.75p
f[c(p)] = 0.81p  The 3rd option is my answer.