Let x denote the count of $5 bills and y signify the count of $10 bills. It can be stated that "the number of $10 bills is twice the number of $5 bills." Thus, y is 2 times x. We can formulate an equation, y = 2x (equation 1). The total value of all bills amounts to $125, allowing us to create another equation: 5*(number of $5 bills) + 10*(number of $10 bills) = 125. That leads to the equation 5(x) + 10(y) = 125 (equation 2). By substituting y = 2x into equation 2, we get 5(x) + 10(2x) = 125. This simplifies to 5x + 20x = 125. Combining like terms yields 25x = 125. Dividing both sides by 25 results in x = 5. By substituting x = 5 in the first equation, we find y = 2(5) = 10. Consequently, there are 5 $5 bills and 10 $10 bills.
The given road capacity is 3,500 vehicles per hour, and the expected number of vehicles arriving is 14,000. To calculate the time required for these vehicles to access the arena:
14,000 vehicles divided by 3,500 vehicles per hour equals 4 hours.
If the event is scheduled to commence at 7 p.m., the roads should close at: 7 p.m. minus 4 hours, which results in 3 p.m.
Answer:
3
/2
Step-by-step explanation:
Given that AC = BC, this is an isosceles triangle.
Since CD is perpendicular to AB, we find AD = DB = 0.5AB = 3/2
Now considering triangle ACD,[TAG_17]]
we will use Pythagoras' theorem,
AC = 
AC = 3/2
:-)
Answer:
-1.7x -3
Step-by-step explanation:
−4.2x+3 +2.5x−6
I prefer to align them one above the other.
−4.2x+3
2.5x−6
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-1.7x -3
To find a122 in the sequence beginning with 5, 8, 11, we recognize this series is arithmetic.
