Answer: x=23 degrees
Step by step: 90-67=23
The total bill for the Cunningham family was $29.26.
Step-by-step explanation:
Step 1; First we total up the cost of the food alone. Mr. Cunningham spent $7.50, Mrs. Cunningham spent $6.25, the 2 children spent $4.99 each which equals $9.98 for both. So the total of the food alone was $23.73.
Step 2; The sales tax rate was 7.25% of the $23.73. So we multiply 0.0725 (7.25%) with the $23.73 which equals $1.72. So the total bill was for $23.73 + $1.72 which equals $25.45.
Step 3; The Cunningham family left a 15% tip. This was 15% of the toal bill which was $25.45. So we multiply 0.15 (15%) with $25.45 which equals $3.81. So the total bill was food cost + service tax + tips which is $23.73 + $1.72 + $3.81 = $29.26
A variable is the letter next to a number such as x. (ex. 6y) the y would be the variable.
a product is the number you get at the end of the expression
Area of a rectangle = length x width
Answers:
24 quarters
22 nickels
==========================================================
Work Shown:
q = number of quarters
n = number of nickels
q+n = 46 coins total which solves to n = 46-q
25q = value of all the quarters in cents
5n = value of all the nickels in cents
25q+5n = value (cents) of all the coins of both types
25q+5n = 710 cents total = $7.10
-------------
Apply substitution.
25q+5n = 710
25q+5(46-q) = 710
25q+230-5q = 710
20q+230 = 710
20q = 710-230
20q = 480
q = 480/20
q = 24
They have 24 quarters
This yields 25*q = 25*24 = 600 cents = $6.00 so far.
Use that value of q to find n
n = 46-q
n = 46-24
n = 22
They also have 22 nickels.
They have an additional 5n = 5*22 = 110 cents = $1.10
In total, they have 6.00+1.10 = 7.10 dollars which confirms we have the correct coin counts. Also, q+n = 24+22 = 46.
