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dedylja [7]
3 years ago
5

A restaurant bill before tax is $15.50. How much is a 15% tip for this bill? How much money should be left for the whole bill?

Mathematics
1 answer:
ahrayia [7]3 years ago
4 0

Answer:

The tip would be approximately $2.33.  The total amount of money that should be left on the bill is $17.73.

Step-by-step explanation:

To determine the tip: 15.50 times 0.15 = 2.325 ≈ 2.33

To determine the total: 15.50 plus 2.33

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Please help I'm lost.
vova2212 [387]

Part 1: Answer:

(x+1)(x+1)(x-6) = x^3 - 4x^2 - 11x - 6

Step-by-step explanation:

To make r a root, include (x-r) as a factor. (-1+1)(-1+1)(-1-6) is zero even though (-1-6) isn't.

(6+1)(6+1)(6-6) is zero.


Part 2 Answer:

Standard form: y = -x^4 + 12

Degree 4

left end goes down, right end goes down.

Step by step: apply the definitions of standard form, polynomial degree, and "end behavior". In other words, read the textbook.


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Step by step:

x^2-11x = -24

x^2-11x+24 = 0

(x-3)(x-8) = 0

x = 3 or x = 8


Part 4a Answer:

quotient 2x^2 + x - 3

remainder 1


Step by step:

2x^2 + x - 3

___________________

x-4 ) 2x^3 - 7x^2 - 7x + 13

2x^3 - 8x^2

__________

0 + x^2 - 7x + 13

x^2 - 4x

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0 - 3x + 13

- 3x + 12

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1


Part 4b answer:

quotient 2x^2 - 6x + 2

remainder -20


Step by step: you have to know exactly what you are doing. Refer to textbook or Wikipedia.


dividend 2x^3 +14x^2 - 58x

divisor x+10

leading coefficient of divisor must be 1

write coefficients of dividend at top

write coefficients of dividend at left


| 2 14 -58 0

-10 | -20 60 -20

___________

| 2 -6 2 -20

Coefficients of quotient are 2 -6 2

Remainder is -20

quotient = 2x^2 - 6x + 2



7 0
3 years ago
What is the volume of this triangular Pyramid photo attached
storchak [24]

To find the volume of a triangular pyramid, the formula is:

V=\frac{1}{3}(Area\text{ }of\text{ }thebase)(height)

So we start by finding the area of the base, which is in the shape of a right triangle in this case.

The area of a right triangle is equal to 1/2 x base x height.

\begin{gathered} A=\frac{1}{2}bh \\  \\ A=\frac{1}{2}(5)(6) \\  \\ A=15\text{ square feet} \end{gathered}

We use this area to find the volume.

\begin{gathered} V=\frac{1}{3}Ah \\  \\ V=\frac{1}{3}(15)(6) \\  \\ V=30\text{ cubic feet} \end{gathered}

The volume of the triangular pyramid is 30 cubic feet.

3 0
1 year ago
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