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ICE Princess25 [194]
3 years ago
10

Belinda’s mother took the family out to dinner. The food bill came to $72.00. The sales tax is 6% of the cost of food. As a tip,

Belinda’s mother left 20% of the original food bill. What was her total cost?
Mathematics
1 answer:
makkiz [27]3 years ago
3 0
To calculate final cost you need to add tax and tip. Because you tip on the food bill without tax, you just add these two.

72 * 0.2 = 14.4 -> tip
72 * 0.06 = 4.32 -> tax

72 + 14.4 + 4.32 = 90.72

So the total cost was $90.72

You can find that faster:

72 * 1.26 = 90.72

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> more than
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Solve for x.<br><br><br><br> 2x/3 + 1 = 3<br><br> x = 1 <br> x = 6<br> x = 3<br> x = 2
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4 years ago
If csc x = −5, find csc(−x) find the period and horizontal shift
ella [17]

Answer:

\csc (-x) = - \csc x = - ( - 5) = 5

Period is 2π

Horizontal shift = 0

Step-by-step explanation:

We know that \sin (-x) = - \sin x and as \csc x = \frac{1}{\sin x}, so, we can write \csc (-x) = - \csc x

Therefore, the if \csc x = - 5 then \csc (-x) = - \csc x = - ( - 5) = 5 (Answer)

Now, the period of \csc x is 2π, hence the period of \csc (- x) is also 2π.  (Answer)

Again. \csc ( - x) = \csc (-x + 0), hence, the horizontal shift of \csc (- x) is 0. (Answer)

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3 years ago
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Eduardwww [97]
In the first question,
Since D is the midpoint of line segment AC.
therefore, AD=DC.

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Therefore, AD is congruent to DC.

Finally, in triangles DEA & DEC
Since, ED line segment is a common side between those triangles and the measure of angle EDA is as the same of angle EDC which are equal to 90 degrees and AD is congruent to DC.
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3 years ago
A theatre has 15 seats in the first row, 20 seats in the second row, 25 seats in the third row, and so on. Write the linear equa
viktelen [127]

Answer: The answer is (n = 5r + 10).


Step-by-step explanation: Given that in a theatre, there are 15 seats in the first row, 20 seats in the second row, 25 seats in the third row, etc.

We are to write the linear equation that represents the number of seats 'n' in each row 'r'.

Now,

Number of seats in the 1st row = 15 = 5 × 3 = 5 × (1+2),

number of seats in the 2nd row = 20 = 5 × 4 = 5 × (2+2),

number of seats in the 3rd row = 25 = 5 × 5 = 5 × (3+2), etc...

Therefore, number of seats 'n' in the r-th row is given by the following linear equation -

n = 5 × (r+2), i.e., n = 5r + 10.

Thus, the required linear equation is n = 5r + 10.


7 0
3 years ago
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