1.29(30) +2 Step-by-step explanation: Begin by calculating 1.29 multiplied by 30, which results in 38.7. Next, add 2 to this sum to arrive at 40.7. Consequently, the total expense amounts to $40.70.
(5r - 4)(r² - 6r + 4)
uses the distributive property for multiplication.
This expands to 5r(r² - 6r + 4) - 4(r² - 6r + 4)
which results in 5r³ - 30r² + 20r - 4r² + 24r - 16
as you combine like terms and simplify.
The outcome is 5r³ - 30r² - 4r² + 20r + 24r - 16
leading to a final expression of 5r³ - 34r² + 44r - 16. Choice A.
Answer:
150 short-sleeve shirts were ordered
100 long-sleeve shirts were ordered
Starting with the equation 4(3b + 2)² = 64, if we divide both sides by 4 we obtain
(3b + 2)² = 16. By taking the square root of both sides,
we derive two cases: (3b + 2) = 4 and (3b + 2) = -4.
Solving each equation for b yields:
3b = 2 or 3b = -6,
leading to b values of 2/3 and -2. Ultimately, the results specify that b = 2/3 and b = -2.