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.
Each tweet could cost anywhere from 1 to 140 pennies, which can be expressed as an inequality [1 ≤ x ≤ 140]. Since it's impossible to tweet 0 characters or exceed 140. If required in pounds, simply divide by 100. A) 1 ≤ x ≤ 140 B) The cost per character is a penny, and tweeting fewer than 1 character or more than 140 is not permitted.
Result: OPTION D.
Step-by-step reasoning:
The total cost for Lindy can be calculated employing the expression given in the task:
Here, "d" signifies the drinks ordered and "t" represents the toppings on a medium pizza she selects.
Since she and her friends order 4 drinks alongside a medium pizza that includes 3 toppings, you can derive the total cost by substituting these values into the provided expression.
The values are:
Upon substituting into the expression and performing the calculations, the result is:
The volume of a rectangular prism:
insert
The volume of a cylinder:
insert:
Response: C. The cylinder possesses a larger volume.
Let Sanku be x. If Madhu's age is three times his, Madhu would be 3x. The age difference is 14, leading to the equation 3x - x = 14, which simplifies to 2x = 14, thus x = 7, indicating Sanku is 7 years old, while Madhu is 21.
