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Naddika [18.5K]
2 years ago
9

Sam and his family go out to eat for his birthday. The total bill is $123.79. If his dad leaves the waitress a 15% tip, how much

will the waitress receive?
Mathematics
2 answers:
Art [367]2 years ago
8 0

Answer:

$18.5685 or $18.56

Step-by-step explanation:

The answer is $18.56 because 123.79 multiplied by 15% is $18.56

Brrunno [24]2 years ago
8 0

Answer:

about $18.75

Step-by-step explanation:

15% of 123.79 is 18.5685

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Solve the system of equations. ​
lys-0071 [83]

Step-by-step explanation:

Solve the system via elimination (add the equations):

-10y + 9x = -9

+ (10y + 5x = -5)

-----------------------

14x = -14

x = -1

Plug in the value for 'x' into the second equation:

-10y + 5(-1) = -5

Solve for y:

-10y - 5 = -5

--> -10y = 0

--> y = 0

x = -1

y = 0

6 0
3 years ago
Solve y′′=sin(x) if y(0)=0 and y′(0)=5.<br><br> y(x)=?
Ksenya-84 [330]

Answer:

y(x)=6x-sin(x)

Step-by-step explanation:

Rewrite the differential equation as:

\frac{d^{2} y }{dx^{2} } =sin(x)

Integrate both sides with respect to x:

\int\ \frac{d^{2} y }{dx^{2} } dx = \int\ sin(x) dx

\frac{dy}{dx} =-cos(x)+C_1

Integrate one more time both sides with respect to x:

\int\ \frac{dy}{dx} = \int\ -cos(x)+C_1 dx

y(x)=-sin(x)+C_1x+C_2

Now that we find the solution, let's find its derivate:

y'(x)=C_1-cos(x)

Evaluating the initial conditions:

y(0)=C_1(0)+C_2-sin(0)=0\\C_2=0

y'(0)=C_1-cos(0)=5\\C_1=5+1=6

Replacing the value of the constants that we found in the differential equation solution:

y(x)=6x-sin(x)

6 0
3 years ago
Your height is 5 feet and 1 5/8 inches. Your friend’s height is 5.6 feet. Who is taller?
Alex Ar [27]
Not your friend you cause if you add 5 ft+1 5/8 it’s gonna be more than 5.)
7 0
3 years ago
Stella is having a birthday party at the amusement park. It costs $35 for pizza and $12.50 per friend for the amusement park. St
Nikitich [7]

Answer:

5 friends

Step-by-step explanation:

The inequality is 35+12.50x is less than or equal to 100.

4 0
3 years ago
Jake ate 4½ pounds of candy during the week after Halloween. How much candy did he eat per day on average.
ElenaW [278]

Answer: 9/14 of a pound each day.

Step-by-step explanation:

We can convert the mixed fraction into an improper fraction:

4 1/2 → 9/2

Now we divide by 7, since there are 7 days in a week:

9/2 ÷ 7

When we divide, by a number, it can be placed in the denominator:

9/2*7 = 9/14

There's no other way to simplify it, so that's our final answer.

8 0
2 years ago
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