Bruno claims that the solution to the linear equation -3(2 x + 6) + 25 = 1 is x = 1. He shows the steps below to justify his solution. Step 1:
Step 2:
Step 3:
Step 4:
-312 x + 6) + 25 = 1
-6 x - 18 + 25 = 1
-6x + 7 = 1
-6x= -6
x=1
Which of the following statements shows correct reasoning regarding the solution?
O The solution is correct since the solution x = 1 follows from the equality of numbers asserted in each of the previous steps.
O The solution is incorrect since Step 2 should be - 6 x - 43 = 1, so the correct solution is x = -71
O The solution is incorrect since Step 1 should be -6x + 18 + 25 = 1, so the correct solution is x = 7
o
The solution is correct since the solution x = 1 follows from the constant shown on the right side of the original equation.

Cone w has a radius of 8 cm and a height of 5 cm. square pyramid x has the same base area and height as cone w. paul and manuel disagree on how the volumes of cone w and square pyramid x are related. examine their arguments. which statement explains whose argument is correct and why? paul manuel the volume of square pyramid x is equal to the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is three times the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. paul's argument is correct; manuel used the incorrect formula to find the volume of square pyramid x. paul's argument is correct; manuel used the incorrect base area to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect formula to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect base area to find the volume of square pyramid x.

Someone answer asap for ! max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a. the median of max’s data is 250 b. more than half of the data points max recorded were 177 centimeters. c. a data point chosen at random is as likely to be above the mean as it is to be below the mean. d. every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Solve each quadratic equation by factoring and using the zero product property. x^2 - 8x + 30 = 3x