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9966 [12]
4 years ago
11

The Rodriguez family went to dinner at at Pasta Palace. Mr. Rodriguez ordered a meal for $6.25; Mrs. R ordered a meal for $7.50;

the 2 children ordered individual pizzas for $4.99 each. The sales tax rate was 7.25% and they left a 15% tip. How much was the total bill.
Mathematics
1 answer:
lidiya [134]4 years ago
4 0
Cost of the meal ordered by Mr. Rodriguez = $6.25
Cost of the meal ordered by Mrs. Rodriguez = $7.50
Cost of each pizza ordered by the two children = $4.99
Then
The cost of the 2 pizzas ordered by the 2 children = (2 * 4.99) dollars
                                                                                 = 9.98 dollars
So
The total cost of the orders = (6.25 + 7.50 + 9.98) dollars
                                             = 23.73 dollars
Percentage of tip on the bill = 15%
Then
Amount of tip paid = (15/100) * 23.73 dollars
                              = 355.95/100 dollars
                              = 3.56 dollars
Percentage of tax paid on the bill = 7.25%
Amount of sales tax that was paid = (7.25/100) * 23.73 dollars
                                                       = 172.04/100 dollars
                                                       = 1.72 dollars
So
The total bill that was paid = (23.73 + 3.56 + 1.72) dollars
                                           = 29.01 dollars
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5 0
2 years ago
Quiana has 5 times more text messages from Yolanda than from Pierre. Quiana has 30 text messages from Yolanda. Which equation ca
VladimirAG [237]

Answer:

p=\frac{30}{5}

Step-by-step explanation:

Quiana has 5 times more text messages from Yolanda than from Pierre, we also know that she actually has 30 text messages from Yolanda. In other words, 30 texts from Yolanda is 5 times more text messages than from Pierre.

Thus, if we call p the number of texts messages from Pierre we would have that

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And if we solve this equation we would get that Quiana has 6 text messages from Pierre

4 0
3 years ago
Find a cubic function f(x) = ax^3 + bx^2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 a
Ahat [919]

Answer:

f(x) = (3x³ + 9x² - 27x + 15)/32

Step-by-step explanation:

f'(x) = 3ax² + 2bx + c

Maximum or minimum: f'(x) = 0

Maximum: f'(-3) = 0 and f(-3) = 3

Minimum: f'(1) = 0 and f(1) = 0

f'(-3) = 0 leads 27a - 6b + c = 0       (1)

f'(1) = 0 leads 3a + 2b + c = 0           (2)

f(-3) = 3 leads -27a + 9b -3c + d = 3    (3)

f(1) = 0 leads a + b + c + d = 0        (4)

(1) - (2):   24a - 8b = 0, or 3a - b = 0, b = 3a

(3) - (4)   -28a + 8b - 4c = 3    (5)

(1) * 4 + (5):  80a - 16b = 3,

use b = 3a, get 80a - 16*3a = 3, 32a = 3, a = 3/32, b = 3a = 9/32

From (2): c = -3a - 2b = -9/32 - 18/32 = -27/32

From (4): d = -a - b - c = -3/32 - 9/32 + 27/32 = 15/32

So

f(x) = (3x³ + 9x² - 27x + 15)/32

3 0
2 years ago
A line has a slope of 9/4 and a y-intercept of -14.
scoray [572]
The answer correct is C.

We can use the linear equation y=mx+b to help. y is the dependent variable, m is slope, x is the independent variable, and b is the y intercept.

In this case, the values of x and y were not given, so we still have y=mx+b. We can substitute 9/4 for m and -14 for b to get y=9/4x-15, which is C.
6 0
3 years ago
What is the slope of the line that passes through the points (7.-12) and (-9,36)?​
REY [17]

Answer:

Step-by-step explanation:

m = slope where

m = rise / run

rise = y2 - y1  

run = x2 - x1

where  

the given point P1 = (7, -12)

and is in the form of (x1,y1)  

and

the given point P2 = (-9,36)  

is  in   the   form  of   (x2,y2)

then

m =  ( y2 - y1 ) / ( x2 - x1 )

m = ( 36 - (-12) ) / ( -9 -7 )

m = ( 36 + 12 ) /  ( - 16 )

m =  48 /  - 16

m = - 3

the slope is negative 3

slope = - 3

4 0
3 years ago
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