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aleksklad [387]

3 years ago

9

Anna enjoys dinner with her family at a restaurant in Washington, D.C. She leaves a 15% tip on the price of her meal. She also h

as to pay a 10% sales tax on her meal, which is calculated on the pre-tip amount. She spends a total of $27.50 for dinner, including tax and tip. What is the cost of her dinner without tax and tip? Show your work.

1 answer:

AnnZ [28]3 years ago

3 0

Answer:

$22

Step-by-step explanation:

tax and the tip increase the price paid for the meal

she paid 15 + 10 = 25% more than the price of her meal

p = original price

1.15 x p = 27,50

p = 27.50 / 1.15 = 22

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Quesheip Use the number line below, where RS = 6y +2, ST=5y + 9, and RT= 13y - 1 a What is the value of y? b Find RS, ST, and RT

Simora [160]

Answer:

$y = 6$

$RS = 38$

$ST = 39$

$RT = 77$

Step-by-step explanation:

Given:

$RS = 6y +2$

$ST=5y + 9$

$RT= 13y - 1$

Solving (a): The value of y

From the given parameters, we understand that

$RT = RS + ST$

Substitute values for RS, ST and RT

$13y - 1 = 6y + 2 + 5y + 9$

Collect Like Terms

$13y - 6y - 5y = 1 + 2 + 9$

$2y = 12$

Divide both sides by 2

$y = \frac{12}{2}$

$y = 6$

Solving (b):

<em>The value of RS</em>

Substitute 6 for y in $RS = 6y +2$

$RS = 6 * 6 + 2$

$RS = 36 + 2$

$RS = 38$

<em>The value of ST</em>

Substitute 6 for y in $ST=5y + 9$

$ST = 5 * 6 + 9$

$ST = 30 + 9$

$ST = 39$

<em>The value of ST</em>

Substitute 6 for y in $RT= 13y - 1$

$RT = 13 * 6 - 1$

$RT = 78 - 1$

$RT = 77$

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