simplify : the exact value of sin 240
Explanation: sin(240)=sin(60+180)=-sin60
Final answer: the required vaalue of the sin 240 is -0.87
Answer:tickets in Germany cost $8.93
tickets in France cost $8.85
Step-by-step explanation:
Let x represent the cost of a movie ticket in Germany.
Let y represent the cost of a movie ticket in France.
Four movie tickets in Germany plus 3 movie tickets in France cost &62.27. This means that
4x + 3y = 62.27 - - - - - - - - 1
three tickets in Germany plus 4 tickets in France cost $62.19
This means that
3x + 4y = 62.19 - - - - - - - - -2
Multiplying equation 1 by 3 and equation 2 by 4. It becomes
12x + 9y = 186.81
12x + 16y = 248.76
Subtracting,
- 7y = - 61.95
y = - 61.95/7
y = 8.85
Substituting y = 8.85 into equation 1, it becomes
4x + 3×8.85 = 62.27
4x + 26.55 = 62.27
4x = 62.27 - 26.55
4x = 35.72
x = 35.72/4 = 8.93
Step-by-step explanation:
a = 5
b= 9
a + 4b = ?
5 + 4×9 =
5 + 36 = 41
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Answer: she wants to rent the car for 11 days.
Step-by-step explanation:
Let x represent the number of additional days that Pamela wants to rent the car for.
Customers can pay $40 to rent a compact car for the first day plus $6 for each additional day. This means that the total cost of using this special for x days would be
40 + 6(x - 1) = 40 + 6x - 6
= 34 + 6x
Also, they can rent the same car for $30 the first day and $7 for every additional day beyond that. This means that the total cost of using this special for x days would be
30 + 7(x - 1) = 30 + 7x - 7
= 23 + 7x
Since she found out that the two specials are equivalent for x days, then
34 + 6x = 23 + 7x
7x - 6x = 34 - 23
x = 11
