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Yuki888 [10]
3 years ago
15

Gabriela has dinner at a cafe and the cost of her meal is \$45.00$45.00. Because of the service, she wants to leave a 15\%15% ti

p.
What is her total bill including tip?
Mathematics
2 answers:
iren [92.7K]3 years ago
7 0

Answer: Her total bill including tip is $51.75

Step-by-step explanation:

Hi, first, we have to multiply the cost of the meal by the tip percentage in decimal form (percentage divided by 100).

Mathematically speaking:

45 x (15/100) = 45 x 0.15 = 6.75 tip amount

Finally, add the amount of the tip to the meal's cost.

45 +6.75 = $51.75

Her total bill including tip is $51.75

Feel free to ask for more if needed or if you did not understand something.

Andrej [43]3 years ago
3 0
$51.75 is ur answer $45 plus $6.75 15% =0.15 the answer is 51.75 hoped this helped add ne and may I get braniest
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Assoli18 [71]

4.  Supplementary angles together make a straight line (two right angles).  So BOE is supplementary to BOC

Answer: ∠BOE

5. Distance and midpoint between (4,-2), (6,8)

d = \sqrt{ (6-4)^2 + (8 - -2)^2} = \sqrt{2^2+10^2}=\sqrt{104}=2 \sqrt{26}

midpoint

\left(\dfrac{4 + 6}{2}, \dfrac{-2 + 8}{2} \right) = (5, 3)

Answer: distance 2√26, midpoint  (5, 3)

6.That's a rectangle oriented parallel to the axes, width parallel to the x axis of 7 - -3 = 10 and length along y of  1 - - 4 = 5, so an area of 10(5)=50

Answer: 50

5 0
3 years ago
Use Midpoint and Slope Formulas to complete the tables below.1. Find the midpoint of RP, given the coordinates R (5, 8) and P (3
poizon [28]

The midpoint formula for a segment is:

x_m,y_{_m}=\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)}{2}

apply to points R and P

\begin{gathered} x_m,y_m=\frac{(5+3)}{2},\frac{(8+6)}{2} \\ x_m,y_m=\frac{8}{2},\frac{14}{2} \\ x_m,y_m=(4,7) \end{gathered}

using the definition of slope find the slope of the segment

m=\frac{y_2-y_1}{x_2-x_1}

apply to points R and P

\begin{gathered} m=\frac{8-6}{5-3} \\ m=\frac{2}{2} \\ m=1 \end{gathered}

to lines are parallel when the slopes are the same

\mleft\Vert m=1\mright?

two lines are perpendicular when the product of the slopes is equal to -1

\begin{gathered} m\cdot\perp m=-1 \\ 1\cdot\perp m=-1 \\ \perp m=-\frac{1}{1} \\ \perp m=-1 \end{gathered}

7 0
1 year ago
Solve y ' ' + 4 y = 0 , y ( 0 ) = 2 , y ' ( 0 ) = 2 The resulting oscillation will have Amplitude: Period: If your solution is A
Vlad [161]

Answer:

y(x)=sin(2x)+2cos(2x)

Step-by-step explanation:

y''+4y=0

This is a homogeneous linear equation. So, assume a solution will be proportional to:

e^{\lambda x} \\\\for\hspace{3}some\hspace{3}constant\hspace{3}\lambda

Now, substitute y(x)=e^{\lambda x} into the differential equation:

\frac{d^2}{dx^2} (e^{\lambda x} ) +4e^{\lambda x} =0

Using the characteristic equation:

\lambda ^2 e^{\lambda x} + 4e^{\lambda x} =0

Factor out e^{\lambda x}

e^{\lambda x}(\lambda ^2 +4) =0

Where:

e^{\lambda x} \neq 0\\\\for\hspace{3}any\hspace{3}\lambda

Therefore the zeros must come from the polynomial:

\lambda^2+4 =0

Solving for \lambda:

\lambda =\pm2i

These roots give the next solutions:

y_1(x)=c_1 e^{2ix} \\\\and\\\\y_2(x)=c_2 e^{-2ix}

Where c_1 and c_2 are arbitrary constants. Now, the general solution is the sum of the previous solutions:

y(x)=c_1 e^{2ix} +c_2 e^{-2ix}

Using Euler's identity:

e^{\alpha +i\beta} =e^{\alpha} cos(\beta)+ie^{\alpha} sin(\beta)

y(x)=c_1 (cos(2x)+isin(2x))+c_2(cos(2x)-isin(2x))\\\\Regroup\\\\y(x)=(c_1+c_2)cos(2x) +i(c_1-c_2)sin(2x)\\

Redefine:

i(c_1-c_2)=c_1\\\\c_1+c_2=c_2

Since these are arbitrary constants

y(x)=c_1sin(2x)+c_2cos(2x)

Now, let's find its derivative in order to find c_1 and c_2

y'(x)=2c_1 cos(2x)-2c_2sin(2x)

Evaluating    y(0)=2 :

y(0)=2=c_1sin(0)+c_2cos(0)\\\\2=c_2

Evaluating     y'(0)=2 :

y'(0)=2=2c_1cos(0)-2c_2sin(0)\\\\2=2c_1\\\\c_1=1

Finally, the solution is given by:

y(x)=sin(2x)+2cos(2x)

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3 years ago
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My name is Ann [436]

(1) The train travels 4 miles per gallon.

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Explanation:

(1) The miles that train travels per gallon is given by

Miles= \frac{800}{200}

Dividing, we have,

Miles= 4

Thus, the train travels 4 miles per gallon.

(2) To determine the slope, let us consider two points from the graph.

The coordinates are (0,0) and (800,200)

Thus, substituting the coordinates in the slope formula, we get,

m=\frac{200-0}{800-0}

Simplifying, we have,

m=\frac{200}{800} =\frac{1}{4}

Thus, the slope of the graph is m=\frac{1}{4}

3 0
3 years ago
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ch4aika [34]

Answer:

3.18, 3.21, 3.23

Step-by-step explanation:

You just nee to find some decimals that round up to 3.2

8 0
2 years ago
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