Leia cuts congruent triangular patches with an area of 45 square centimeters from a rectangular piece of fabric that is
18 centimeters long and 10 centimeters wide. How many of the
patches can Leia cut from 32 pieces of the fabric?

[15 points]find the least common multiple of the expressions: 1. 3x^2, 6x - 18 2. 5x, 5x(x +2) 3. x^2 - 9, x + 3 4. x^2 - 3x - 10, x + 2 explain if possible

Atechnician compares repair costs for two types of microwave ovens (type i and type ii). he believes that the repair cost for type i ovens is greater than the repair cost for type ii ovens. a sample of 6767 type i ovens has a mean repair cost of $79.79$⁢79.79. the population standard deviation for the repair of type i ovens is known to be $19.18$⁢19.18. a sample of 5555 type ii ovens has a mean repair cost of $75.24$⁢75.24. the population standard deviation for the repair of type ii ovens is known to be $21.40$⁢21.40. conduct a hypothesis test of the technician's claim at the 0.050.05 level of significance. let μ1μ1 be the true mean repair cost for type i ovens and μ2μ2 be the true mean repair cost for type ii ovens. step 2 of 4 : compute the value of the test statistic. round your answer to two decimal places.

Five times a number decreased by nine is equal to twice the number increased by 23. which equation could be used to solve the problem? 5x – 9 = x + 23 5x – 9 = 2x + 23 5x – 9 + 2x = 23 5x + 23 = 2x + 23