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GarryVolchara [31]
3 years ago
7

The Kelly's are having a dinner at a local restaurant. Mr. Kelly wants to give the server is 15% gratuity, and the sales tax is

6.5%. He will use the amount of the bill to find each additional amount. By what percent does the cost of the meal increase with tax and gratuity?
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
7 0

Answer:5

Step-by-step explanation: because it is

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Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point
Maksim231197 [3]

Answer: (6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0) are the required points.

or  (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]

Taking square on both the sides , we get

(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0

Using quadratic formula : x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}

so, (6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0) are the required points.

since \sqrt{3}=1.732

so, (6+7(1.732),0)\text{ and }(6-7(1.732),0) are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

3 0
3 years ago
A street that is 564ft long is covered in snow. City workers are using a snowplow to clear the street. A tire on the snowplow ha
Goshia [24]

Answer:

the diameter of the tire is

5.23

Step-by-step explanation:

3.14/47 by 13

3 0
3 years ago
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Explain why this matrix equation has no solution: A 11 17 −8 13 = 0 0 0 0.
qwelly [4]

The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it.

Given to us

A + [11   17   -8    13] = [0   0   0   0]

<h3>What is the value of matrix A?</h3>

We know that the given matrix will give values as zero if the same matrix is been deducted from it, therefore,

A + [11   17   -8    13] = [0   0   0   0]

A = [0   0   0   0] - [11   17   -8    13]

A = [-11   -17   +8    -13]

Thus, the matrix is equal to [-11   -17   +8    -13].

<h3>why this matrix equation has no solution?</h3>

The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it, therefore, [11   17   -8    13] is been added to it.

Thus, the sum of the two matrices has no solution.

Learn more about Matrices:

brainly.com/question/11367104

5 0
2 years ago
Solve for x. <br> 2/3(x-7) = -2
kari74 [83]

Answer:

x = 4

Step-by-step explanation:

5 0
3 years ago
A building contractor cut a 3 1 4 foot piece off a 12 foot piece of wood. The remaining piece of wood was then cut into 7 equal
Alexus [3.1K]
(12-3.25)/7=1.25ft  ( or 1' 3" )
5 0
3 years ago
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