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question 1

(-3x) + 40 = 38

question 2

5(x + 6) = 50

question 3

(1/4)x + 24 = 36

question 4

(-3/4) x + 2 = (½ )x + 6

question 5

3x + 14 = 6x +11

question 6

using substitution, determine if the given value is the solution to the equation.
(2/3)x + 20 = 100 ; x = 120
yes
no

question 7

(-16x) - 34 = 30 ; x = 4
yes
no

question 8

3x - 72 = (-2) + x; x=70

yes

no

question 9

tony and kara were keeping track of the ball game. at the end of the game, tony thought that the home team had scored 5 runs, but kara thought that they scored 3 runs. the announcer said that the home team's final score was the same as the solution to the equation: 45x - 16 = 5x +104.
who has the correct score?

tony

kara

neither

question 10

michelle wanted to buy a small bag of popcorn. there were two signs by the popcorn bin. one sign said that the large popcorn bag cost $1.50. the other sign listed the small popcorn bag but the price was missing. the price of the small popcorn bag is the same as the solution to the equation: 4(x + 7) = 30.
what is the price of the small popcorn bag?

Arectangle has an area of 54 square feet. if the length is 3 feet more than the width, find the dimensions of the rectangle.

For what type of equity loan are you lent a lump sum, which is to be paid within a certain period of time? a. a line of credit b. equity c. a second mortgage d. an amortization

Overproduction of uric acid in the body can be an indication of cell breakdown. this may be an advance indication of illness such as gout, leukemia, or lymphoma.† over a period of months, an adult male patient has taken nine blood tests for uric acid. the mean concentration was x = 5.35 mg/dl. the distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.87 mg/dl. (a) find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. what is the margin of error? (round your answers to two decimal places.) lower limit upper limit margin of error (b) what conditions are necessary for your calculations? (select all that apply.) σ is unknown n is large σ is known normal distribution of uric acid uniform distribution of uric acid (c) interpret your results in the context of this problem. there is not enough information to make an interpretation. the probability that this interval contains the true average uric acid level for this patient is 0.05. the probability that this interval contains the true average uric acid level for this patient is 0.95. there is a 95% chance that the confidence interval is one of the intervals containing the population average uric acid level for this patient. there is a 5% chance that the confidence interval is one of the intervals containing the population average uric acid level for this patient. (d) find the sample size necessary for a 95% confidence level with maximal margin of error e = 1.10 for the mean concentration of uric acid in this patient's blood. (round your answer up to the nearest whole number.) blood tests