# Basic Math Questions and Answers

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Basic MathThe shaded regions in the circle graphs shown to the right show the percentage of children in the United States whose parents are college graduates in one parent and two parent households Use the information shown to solve parts a and b on Percentage of U S Children Whose Parents Are College Graduates 7 In One Parent Households a What are the odds in favor of a child in a one parent household having a parent who is a college graduate The odds in favor of a child in a one parent household having a parent who is a college graduate are 7 93 Simplify your answer b What are the odds against a child in a one parent household having a parent who is a college graduate The odds against a child in a one parent household having a parent who is a college graduate are Simplify your answer 23 In Two Parent Households

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Basic MathOne cup of breakfast cereal was found to contain the nutrients shown here Carbohydrates Minerals Vitamins Water Protein 0 0 6 1 0 2 2 0 4 6 a Find the ratio of water to protein b Find the ratio of carbohydrates to protein c Find the ratio of vitamins to minerals HH 8 Grams 18 d Find the ratio of protein to vitamins and minerals 20 21 0 22 Preview Preview Preview Preview

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Basic MathSelect the correct description of each term the point where all three medians meet the point where all three altitudes meet the point where all three perpendicular bisectors meet a segment connecting the midpoint of the side of a triangle to the opposite angle a line segment perpendicular to a side at the midpoint of that side a segment from a vertex porn centroid othocenter circumcenter Choose Choose centroid circumcenter othocenter altitude perpendicular bisector median Choose

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Basic Math1 Calculate the gross earning Round your answer to the nearest cent Worker Swan Number of units produced 846 Rate per unit 0 58 Gross earning

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Basic MathComplete the following table assume the overtime for each employee is a time and a half rate after 40 hours Do not round intermediate calculations Round your overtime rate and gross earnings to the nearest cent Employee Tagney M T 14 8 W 9 Th 9 F 5 Sa 1 Total regular Total overtime hours hours Regular rate 7 60 Overtime rate Gross earnings

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Basic MathComplete the following table Round your gross pay to the nearest cent Employee Bernie Roy M 9 T 6 W 9 Th F 7 6 Hours Rate per hour 8 95 Gross pay

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Basic MathA line shaft rotating at 300 rpm is connected to a grinding wheel by the pulley assembly shown If the grinder shaft must turn at 1050 rpm what size pulley should be attached to the line shaft If the grinder shaft must turn at 1050 rpm a 300 rpm C in pulley should be attached to the line shaft 6 pulley x pulley Grinding wheel G

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Basic Math4 State whether the graph of has infinite discontinuity jump discontinuity point discontinuity or is continuous The function is continuous The function has infinite discontinuity The function has point discontinuity The function has jump discontinuity

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Basic Math6 An airplane is taking off headed due north with an air speed of 173 miles per hour at an angle of 18 relative to the horizontal The wind is blowing with a velocity of 42 miles per hour at an angle of S47 E Find a vector that represents the resultant velocity of the plane relative to the point of takeoff Let i point east j point north and k point up Show work

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Basic MathA frustum of a pyramid is a part of the pyramid with two parallel bases The lateral faces of the frustum are trapezoids Use the area formula for a trapezoid to derive a formula for the lateral area of a frustum of a regular square pyramid with base edge lengths b and b2 and slant height A B b2 b 2 b b l b b h 2 4 2 61 62 b b l 21 e

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Basic Mathmatches the graph you drew A 5 3 y 0 1 OA Graph A B Graph B C Graph C D Graph D B 5 3 10 V 0 1 C 5 3 10 0 1 5 3 D 5 0 1

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Basic Math23 25 Find the value of each variable 23 Kite 25 trapezoid X 11 x 2 y 5 x 5 Perimeter 85 cm 37 cm 18 cm 8m 24 26 A trapezoid X y Perimeter of ABCD B 4 37 cm H EB 1 33 cm 53 128 D

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Basic MathIf you randomly select a letter from the phrase Brandon loves to eat at Red Robin what is the probability that you select a vowel Your answer must be in the form of a reduced fraction

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Basic MathTry it Sam ran 63 756 feet in 70 minutes What is Sam s rate in miles per hour There are 5 280 feet in one mile Converting Step 1 What is Sam s rate as stated 63 756 feet 70 minutes Step 2 What factor is used to convert feet per minute into miles per minute 5 280 feet 1 foot 1 mile 1 minute Check 63 756 ft 70 min

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Basic Math19 A space vehicle is orbiting Jupiter in a circular orbit What radian measure corresponds to a 4 25 orbits b orbi 2 a The radian measure corresponding to 4 25 orbits is Type an exact answer in terms of Type an integer or a simplified fraction 19 b The radian measure corresponding to orbit is 2 Type an exact answer in terms of Type an integer or a simplified fraction

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Basic MathUse Synthetic Division to determine each quotient and remainder if necessary If possible use the quotients to write the dividend in factored form no imaginary values and list all the zeros If NOT possible with given divisor write DNE for all applicable answers Complete work must be shown for credit x3x 62 12x 8 x 1 Quotient Factored Form Zeros Select an answer

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Basic MathThe table below summarizes results from an experiment in which subjects were classified as asthmatic or nonasthmatic and then given a treatment After the treatment they were again classified as asthmatic or nonasthmatic Using the appropriate frequencies find the value of the test statistic Round to three decimal places if necessary Tip USE x lb c 1 b c After Treatment 0 701 Asthmatic Nonasthmatic Before Treatment Asthumatic Nonasthmatic 9 2 15

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Basic MathWhich statement best describes how many chlorine atoms are needed when making Barium chloride 2 chlorine atoms are needed because each chlorine atom accepts one of bariums two valence electrons to obtain a full octet and makes chlorine a negatively charged anion 1 chlorine atom is needed because chlorine accepts one electron from barium to obtain a full octet and makes chlorine a negatively charge anion 1 chlorine atom is needed because chlorine accepts one electron from barium to obtain a full octet and makes chlorine a positively charged cation 2 chlorine atoms are needed because each chlorine atom accepts one of bariums two valence electrons to obtain a full octed and makes chlorine a positively charged anion

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Basic MathGraph the following function by moving the green and blue dots if necessary y x 5 3 Start Over 10 9 8 7 6 5 4 3 2 1 10 9 8 y 7 6 5 4 3 2 1 5 1 2 3 4 5 6 7 8 3 1 2 3 4 5 6 7 8 9 10 X

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Basic MathA rectangle that is x feet wide is inscribed in a circle of radius 12 ft a Express the area of the rectangle as a function of x b Find the domain of the function c Graph the function with a graphing calculator d What dimensions maximize the area of the rectangle a Express the area of the rectangle as a function of x A x x 576 x Simplify your answer b Find the domain of the function Choose the correct answer below OA x 24 x 24 OC x x 576 OE x x2576 OG x x 24 c Choose the correct graph below The window settings for each graph are shown below it OA OB 0 24 0 310 d What dimensions maximize the area of the rectangle The width of the rectangle with maximum area is and the length is Do not round until the final answer Then round to three decimal nlaces as needed 0 24 0 310 OB x10 x 24 OD x x 24 OF x10 x 576 OH x x 0 O C 0 24 0 620 OU OD 0 24 0 620 12 ft

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Basic MathWhich statement is true about a dot plot O A A dot plot shows the median of a data set O B A dot plot shows the first quartile but not the second quartile of any given data set A dot plot shows the frequency of the individual values of any given data set A dot plot shows the frequency of an interval of values of any given data set A dot plot gives information about the average of any given data set O C O D OE

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Basic MathIf you work for an hourly wage your gross pay is a function of the number of hours that you work What is the independen variable What is the dependent variable a The independent variable is the gross pay The dependent variable is the hourly wage b The independent variable is the gross pay The dependent variable is the number of hours C The independent variable is the number of hours The dependent variable is the gross pay d The independent variable is the hourly wage The dependent variable is the gross pay

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Basic Mathn 6 ft 4 ft 9 ft Mr Rachuba has a trapezoidal shaped pool in his back yard see diagram above Unfortunately there is a large tree nearby that drops leaves into the pool One day Mr Rachuba counts 187 leaves floating on the surface of his pool What is the density of lea on his pool in leaves ft2 Round your answer to the nearest leaf ft

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Basic Math0 of 1 A man bought a length of rope at the hardware store He used one third of it to make a bow painter a rope located at the front of the canoe for his canoe and then used one fourth of the remaining piece to tie up a roll of carpet He now has 30 feet of rope left What was the length of the rope he had originally purchased Since it is often helpful to visualize a problem obtain your answer pictorially by adding additional marks and labels to the following drawing Used for Painter feet of rope He had originally purchased Type an integer or a simplified fraction

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Basic MathYou have a coupon for an electronics store that allows you to deduct 50 when purchasing a new television Additionally the day you go shopping there is a 5 discount storewide If you are going to use the coupon you need to apply it to the television set price before applying the 5 discount If a television costs I dollars what expression represents what will you ultimately spond to purchase thotolovcion

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Basic MathAn open top box is to be constructed from a sheet of tin that measures 30 inches by 18 inches by cutting out squares from each corner as shown an then folding up the sides Let V x denote the volume of the resulting box X Answer 3 Points X X Step 1 of 2 Write V x as a product of linear factors 1 30 inches XI XI X X w 18 inches Keypad Keyboard Shortcut

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Basic MathLesson 4 Equatic Equations and Their Solutions weighs 132 5 grams An empty shipping box weighs 250 grams The box is then filled with T shirts Each T shirt this situation where W is the weight in grams of the filled box and T the number of shirts The equation W 250 132 5T represents the relationship between the quantities in in the box 1 Name two possible solutions to the equation W 250 132 5T What do the solutions mean in this situation 201 Consider the equation 2 900 250 132 507 In this situation what does the colution to this equation tell us

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Basic MathSugar Changed the World Part 3 Word Choice and Multimedia Quiz Active 1 2 3 113 Read the passage from Sugar Changed the World Why were the English the first to build factories to mill cloth Because of the wealth they gained the trade connections they made and the banking systems they developed in the slave and sugar trade Indeed the cheap cloth from the factories was used to clothe the slaves English factories you might say were built run and paid for by sugar TIME REMAINING 53 58 Which excerpt from the passage best states the authors claim O Why were the English the first to build factories to mill cloth O Because of the wealth they gained the trade connections they made and the banking systems they developed in the slave and sugar trade O Indeed the cheap cloth from the factories was used to clothe the slaves O English factories you might say were built run and paid for by sugar

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Basic MathThe table shows information recorded about the location and speed of an airplane during an overseas flight a Determine the altitude in miles b Determine the ground speed in miles per hour c Determine the headwind in miles per hour 9 d Determine the temperature in degrees Fahrenheit using the formula F C 32 a The altitude is about 6 06 miles Round your answer to the nearest hundredth as needed b The ground speed is about 438 07 miles per hour Round your answer to the nearest hundredth as needed miles per hour c The headwind is about Round your answer to the nearest hundredth as needed Altitude Ground Speed Outside Air Temperature Head Wind 9760 m 705 km h 42 C 187 km h

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Basic MathFind the image of 2 1 obtained by translating 3 units down followed by a reflection over the y axis 2 1 3 2 1 4 3 2 1 1 1 Enter the number that belongs in the green box Enter

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Basic MathLatesha wants to show that a b a b a ab b is a polynomial identity What should Latesha do O Multiply the two factors on the right side of the equation and show the result is equal to the left side after combining like terms O Substitute values for a and for b and show that both sides of the equation are equivalent O Factor a ab b as a b O Multiply both sides of the equation by a b O There is no correct answer given

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Basic MathFind the perimeter and area of the polygon shown below 1 8 ft 15 ft O 18 ft 17 fl P 58 feet A 338 square feet P 76 feet A 338 square feet O O P 76 feet A 330 square feet P 91 feet A 390 square feet

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Basic MathFor a candy making competition Tanya made 3 kinds of candies She made 3 times as many orange candies as pineapple candies She made 30 more lemon candies than pineapple candies The ratio of orange candies to lemon candies was 2 to Which equation could be used to find the number of pineapple candies Tanya made for the competition O 3n 2n 30 3n n 30 2 3n 1 n 30 2 77 30 2

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Basic MathLearning Target 14 I can apply properties and theorems involving angles inscribec Determine the measure of the identified arc or inscribed angle Type in the va number only nothing else Example 71 X 58 W Y

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Basic Math5 Mylyssa can deposit 2 400 into a money market account earning 6 4 simple interest annually or Mylyssa can deposit 2 400 into a savings account earning 5 25 compound interest annually Which of the following is NOT true A The initial deposit after five years will total 3 168 00 in the money market account or 3 099 71 in the savings account B The initial deposit after ten years will total 3 936 00 in the money market account or 4 003 43 in the savings account C The initial deposit after fifteen years will total 5 170 62 in the money market account or 4 704 00 in the savings account D The initial deposit after twenty years will total 5 472 00 in the money market account or 6 678 11 in the savings account

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Basic MathA spherical float has a volume of air within it of radius r and the outer radius of the float is r2 Express in factored form the difference in areas of the outer surface and the inner surface The difference in area is Type your answer in factored form

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Basic MathConsider the graph of the function f x x 6x 8x x 2x 8 Which is a removable discontinuity for the graph Select all that apply Select all that apply x 4 x 2 X 0 X 2 x 4

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Basic MathA company used 8 g of pure gold to coat a pair of shoes How many ounces of gold were used The company used about oz of pure gold Round to the nearest hundredth as needed 1 pound 0 45 kilogram 1 ounce 28 grams 1 gallon 3 8 liters 1 quart 0 95 liter

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Basic Math1 A jet ski is travelling 75 degrees North of East at a constant speed of 43 miles per hour The water is moving at a rate of 12 miles per hour due East Represent the movement of the jet ski considering the wind How far has the jet ski moved horizontally and vertically after 12 minutes

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Basic Mathcan be used to find the difference of the polynomials 10m 6 7m 4 O 10m 7m 6 4 O 10m 7m 6 4 10m 7m 6 4 O 10m 7m 6 4 O

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Basic MathIf p represents the statement a cube has six sides then which of the following statements is represented by p Choose each correct answer Select all that apply A cube has less than six sides A cube does not have six sides A cube has four sides A cube has more than six sides

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Basic MathA zoo offers unlimited drink refills to visitors who purchase its souvenir cup The cup and the first fill cost 10 and refills after that are 2 each The expression 10 2r represents the total cost of the cup and r refills 1 A family visited the zoo several times over a summer That summer they paid 30 for one cup and multiple refills How many refills did they buy 2 A visitor has 18 to spend on drinks at the zoo today and buys a souvenir cup How many refills can they afford during the visit 3 Another visitor spent 10 on this deal Did they buy any refills Explain how you know

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Basic MathA few years ago Sarah acquired a parcel of land valued at 16 500 Today that same parcel of land has a value of 18 975 Find the percent increase in the property s value Round your answer to the nearest hundredth if necessary

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Basic MathThere is a rainbow Choose the correct answer below O A There are clouds OB There is not a rainbow OC There are never rainbows O D Sometimes there are not rainbows

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Basic MathAll changes sa 5 Which of the following statements best summarizes the SSS Similarity Postulate O For two triangles to be proven similar using the SSS Similarity Postulate the triangles must have three sets of corresponding sides that are proportional For two triangles to be proven similar using the SSS Similarity Postulate the triangles must have three sets of corresponding angles that are congruent For two triangles to be proven similar using the SSS Similarity Postulate the triangles must have three sets of corresponding sides that are congruent For two triangles to be proven similar using the SSS Similarity Postulate the triangles must have three sets of corresponding angles that are proportional

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Basic Mathemployee relationships Patty is president and has three vice presidents Shelly Laura and Kerry Shelly has no managers Laura has no managers Kerry has three managers Harpo Bertie and Donna Choose the correct tree below OA K H B S B Ke S HBD O C HBD OD HBD S

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Basic MathSelect the correct answer When two pumps are used they can fill a tank in 60 minutes When the first pump is used alone the tank will be filled in 150 minutes When x represents the time it takes the second pump to fill the tank when used alone the situation is represented by this equation 10 How long would it take the second pump working alone to fill the tank OA O B OC O D 75 minutes 90 minutes 100 minutes 120 minutes

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Basic MathAnswer the question below Type your response in the space provided A cube with a volume of 64 cubic meters is scaled by a factor of 5 What is the volume of the modified cube in cubic meters Note do not include the units in your answer

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Basic MathA research firm claims that the distribution of the days of the week that people are most likely to order food for delivery is different from the distribution shown in the pie chart You randomly select 487 people and record which day of the week each is most likely to order food for delivery The table to the right shows the results At a 0 05 test the research firm s claim Click the icon for the pie chart of the distribution Ho The distribution of the days people order food for delivery is as shown in the pie chart H The distribution of the days people order food for delivery is as shown in the pie chart Which hypothesis is the claim Ho OH Calculate the test statistic 2 X8 412 Round to three decimal places as needed Determine the P value P 0 209 Round to three decimal places as needed Decide whether to reject or fail to reject the null hypothesis Then interpret the decision in the context of the original claim Fail to roiect He At the 5 significance level there Sunday Monday Tuesday Wednesday Thursday Friday Saturday Day enough evidence to conclude that the distribution of the days people order food for delivery differs from the expected distribution Frequency f 46 11 22 47 43 166 152