Algebra Questions

Oil Rig Oil Pipeline Water N 16 Miles Land Refinery An Oil Rig is located a 8 miles from a straight coastline An Oil Refinery is located 16 miles down the coastline The cost of putting in a pipeline from the Oil Rig to the Oil Refinery depends on whether it is on land or in the water Rather than coming directly to the shoreline and then turning at a Right Angle suppose that the Oil Pipeline met the shore at a point b 4 miles from the Right Angle If the cost is 8000 per mile for land and 15000 per mile for water what is the cost of the Pipeline

A teacher wishes to distribute 42 identical pieces of cand among 4 students based on how many pages of a book they read last month The table below lists the total number of pages read by each student Child Pages Sam 630 Garrett 180 Apportion the candy using Jefferson s method Sam s final apportionment Garrett s final apportionment Damien s final apportionment Jason s final apportionment Damien 205 Jason 355 only type the number of candy

Based on the enrollment figures from the previous year a community college expects the total enrollment in mathematics courses broken down by course to be that given in the table below The college employs 15 mathematics professors and they each teach five sections The mathematics department chair decides to apportion the classes among the six courses according to the expected enrollment Apportion the classes using Hamilton s method Round all values to three decimal places when showing work Course DMA Algebra T Course Enrollment 862 561 11 Quota Hamilton s Final Apportionment

e the laws of exponents to simplify 7 8 3 7 44 48 Simplify your answer Type exponential notation with positiv

Given the functions a H x 4 5x x B t 4 4t Find H B 2 G t H B t G t H 4 3 B 2 G t H t 2 3 B t

To determine the number of trout in a lake a conservationist catches 156 trout tags them and throws them back into the lake Later 22 trout are caught 11 of them are tagged How many trout would the conservationist expect to be in the lake

Function 7 Find each value if f x 2x 4 and g x x 4 f 12 b f 6 12 2612 4 24 4 f 20 g 5 c f 2b F 6 21 63 41 26 262514 12 4 f g a 9 F 1016 g g t d f 4 5 flugts h g b

Find the product 4x 4 4x 4 16x 16 4x 4 4x 4 16x 16 Simplify your ans

Find the product 3b b 7 b 3 3b b 7 b 3 Simplify your answ

Perform the indicated operation Express the answer as a polynomial in standard form Square 6p 5

Perform the indicated operation n 5 n 5 n 5 n 5 n 5 n 5 11

Perform the indicated operation 5w w 4 w 2 5w w 4 w 2 Simplify your answe

Perform the indicated operation x 6y x 6y x 6y x 6y

Perform the indicated operation x 4 2x 3 x 4 x 4 2x 3 x 4

Perform the indicated operation 4p p 3 31 7

Find the following product Express the answer as a poly 5x 4 2 r 32

Find the product y 4 3y 2y 1 x 4 3y 2x 1 Simplify your

Multiply using the rule for finding the product of the y 1 y 1 1 1

Find the product 7y y 8 5y y 1 7y y 8 5y y 1 Simplify your answer

Find the product 1 1 x 6x 12 x 2 1 x 6x 12 x 2 Simplif

Find the product 7x 4 x 5x 1 17x 1 x 5x 1 1 Simplify your ar

Find the product x 6 x2 5x 1 2 x 6 x 5x 1 Simplify your ans

Find the special product 2 3 2 2 3 X 2

The gender and year of each of the 221 students in a high school band were recorded The data are summarized in the table below Freshman Sophomore Junior Senior 20 34 27 14 24 Male Female 59 21 22 Suppose a student from the high school band is chosen at random Answer each part Do not round intermediate computations and round your answers to the nearest hundredth a What is the probability that the student is a sophomore given that the student is male b What is the probability that the student is a junior

Use the FOIL method to find the product 5a b 8a 5b FLY

Find the product x 4y x 4v Simplify your ans

Find the special product x 8 x 8 Simplify your answer

Find the special product 3a 7b C

Find the product 4n 3p 4n 3p 4n 3p 4n 3p Simplify your answ

Find the product using the FOIL method x 6 x 3 x 6 x 3

Find the product of the sum and difference of two term 2x 1 2x 1 2x 11 2x 11 Simplify your answer

Find the product x 5 x 5 EXLEX Simplif

Use the FOIL method to find the product 4x 7 5x 1

Find the product using the FOIL method q 8 q 5

Find the product y 3 y 7 y 3 y 7 Simplify your answ

Use the distributive property to find the product 2m 3y 2m 5y 2m 3y 2m 5y Simplify your answer

Use the distributive property to find the product 1 5n 10n 15

Use the distributive property to find the product 3a 4a 2a 4

NO 4 Elena bikes 20 minutes each day for exercise Write an equation to describe the relationship between her distance in miles D and her biking speed in miles per hour when she bikes a at a constant speed of 13 miles per hour for the entire 20 minutes b at a constant speed of 15 miles per hour for the first 5 minutes then at 12 miles per hour for the last 15 minutes

A box has 19 candies in it 2 are caramel 7 are peppermint and 10 are taffy Each candy falls into only one of these categories Keiko wants to select two candies to eat for dessert The first candy will be selected at random and then the second candy will be selected at random from the remaining candies What is the probability that the first candy selected is peppermint and the second candy is taffy Do not round your intermediate computations Round your final answer to three decimal places

A news organization surveyed 70 adults Each said he or she gets news from only one source Here is a summary of their sources of news Source of news Number of adults Radio 23 Internet 13 Newspaper 24 Television 10 Three of the adults from the survey are selected at random one at a time without replacement What is the probability that the first two adults get news from television and the third gets news from the radio Do not round your intermediate computations Round your final answer to three decimal places m

Factor the perfect square completely 2 2 9x 6x 1

Homage to My Hips by Lucille Clifton My Papa s Waltz by Theodore Roethke Those Winter Sundays by Robert Hayden My Last Duchess by Robert Browning Read Lucille Clifton Homage to My Hips and then listen as Author Lucille Clifton reads Homage to My Hips Click Play Answer the questions that follow 1 What is unusual about the subject matter of this poem Considering that some people are embarrassed to mention their hips what attitudes does the speaker express here W adjectives might describe the speaker 2 How do the words enslaved want to go want to do mighty and spell define the poem s ideas about the relationship between mentality and physicality 3 To what degree is this a comic poem What about the subject and the diction make this poem humorous Read Theodore Roethke My Papa s Waltz and click to listen as a Grandfather talks about My Papa s Waltz Now listen as Author Theodore Roethke reads My Papa s Waltz

Factor the following difference of two squares completely 6 m 100n C

Factor the following difference of two squares completely 2 49z 81

Factor the difference of two squares completely 2 x 81

Factor the perfect square completely 4 z 22z 121

Factor the perfect square completely 6w 24w 24

Factor the following polynomial completely x 4x 4 2

Use the distributive property to find the product 5x 6x 7