Basic Math Questions and Answers

hts in a mathematics class are calculating the dimensions of a local billboard They know that the perimeter of th billboard is 130 feet and that the length of the billboard is 5 feet longer than twice the width of the billboard Which student has chosen the correct formula to use to solve this problem Choose the correct answer below Julio has decided that O A 130 2x 2 2x 5 will give the correct values OB O C O D Delia has written 130 x 2x 5 Samnong has written 130 x 2x 5 for his formula Joel has used the formula 130 2x 2 2x 5

Paul Rey bought two new Dunlop tires at Goodyear for 96 19 per tire Goodyear charged 3 15 per tire for mounting 3 05 per tire for valve stems and 3 90 per tire for balancing If Paul paid no sales tax what was his total cost for the two tires Round your answer to 2 decimal places Total cost

A survey was done that asked people to indicate whether they run or ride a bike for exercise Out of those who were surveyed what is the percentage of bikers who do not run Run Do not run Bike 724 121 Do not bike 103 052

A mirror should be centered on a wall The mirror is 36 inches wide and the wall is 18 feet wide Which equation helps determine the distance x on each side of the mirror A X 3 x 18 B X 18 3 X 36 x 18 3 x 3 18

29 Grande Prairie to Medicine Hat Alberta 15 10 hrs and 45 minutes to drive Suzie s SUV is travelling at a constant rate of speed from Grande Prairie to Medicine Hat a What are the independent and dependent variables Independent variable Time Dependent variabe Distance Covered km b How could you represent Suzie s starting coordinates and end coordinates Suzie s starting coordinates 0 0 NEED TO MAKEA 1013 Suzie s ending coordinates 5 10hr GRAPH

Angelique is buying towels for her apartment She finds some green towels x that cost 5 each and blue towels y that cost 7 each She wants to buy at least 7 towels but does not want to spend more than 49 How many of each towel can she purchase Enter the system of inequalities that represents the situation Then select the graph of the system and select one possible solution The system of inequalities is A S 10 10 Fi 1 E and TO B 0 6 NO 4 21 430

A plane is going to fly 300 miles at a planned speed of 530 mph The flight will have an aver headwind of w miles per hour the entire time meaning the plane is flying directly against t The time T in hours of the flight is a function of the speed of the headwind w in mph and modeled by T W a To the right is the graph of y T w What does T 110 mean in this situation b 300 530 w function At what value of w does the graph have a vertical asymptote Explain how you know and what this asymptote means in the situation 100 300 400

Introduction to Exponential Functions According to the Mini Lesson which of the following are TRUE regarding f x a b Check all t apply Assume a 0 The Range of the exponential functions is f x 0 The Range of the exponential functions is All Real Numbers The Domain of the exponential functions is a 0 The Horizontal Asymptote is the line y 0 The Domain of the exponential functions is All Real Numbers The Horizontal Asymptote is the point 0 a The Horizontal Asymptote is the line 0

Jax is making his famous fruit punch for a party If one serving is 8 fluid ounces and Jax wants to have at least 36 servings for the party which of the following represents a the amount of fruit punch he needs to make in fluid ounces A B C D x 8 x 36 x 228 x 288 www www www www

ect the correct answer from each drop down menu Lisa is repairing fences on a piece of ranch land She needs to arrive at point A from point 8 in the diagram But the land there is low and sometimes floods Before she decides to risk it she wants to know how much distance she ll save if she goes straight from B to A instead of taking the dry path from B to C to A Angle BCA is a right angle AC BC 21 feet and AB BC 24 feet B If Lisa travels straight from B to A she ll walk feet which will save her feet compared with traveling

Jimmy invests 500 in an account with a 3 interest rate making no other deposits or withdrawals What will Jimmy s account balance be after 10 years if the interest is compounded 2 times each year 673 43 580 27 173 43

k t ince transactions for Payroll com by completing the check stubs provided Leave no cells blank be certain to enter 0 wherever required Round your answers to 2 decimal places a November 8 2019 deposited 784 90 b November 8 2019 check No 190 payable to Staples for office supplies 805 28 No 190 Date To For Balance Amt Deposited Total Amt this check Balance Forward Check Stubs No 191 Date To For c November 15 2019 check No 191 payable to Best Buy for computer equipment 3 850 09 Amount Check Stubs Balance Amt Deposited Total Amt this check Balance Forward Amount

The element plutonium 239 is highly radioactive Nuclear reactors can produce and also use this element The heat that plutonium emits has helped to power equipment on the moon If the half life of plutonium 239 is 24 360 years what is the value of k for this element

Vectors u and v are shown on the graph 1 6 S 4 2 1 2 3 V 10 11 12 13 14 Part A Write u and v in component form Show your work 3 points Part B Find u v Show your work 2 points Part C Find 5u 2v Show your work 5 points

After four years in college Josie owes 6000 in student loans The interest rate on the federal loans is 3 and the rate on the private bank loans is 3 6 The total interest she owes for one year was 204 00 What is the amount of each loan Federal loan at 3 account Private bank loan at 3 6 account

Which of the following statements is are true for all positive integers 1 n 2n is divisible by 3 2 52 1 is divisible by 24 O Both statements are true O None of the statements are true Only the first statement is true Only the second statement is true

Find the surface area of the composite figure 5 cm 10 cm 4 cm 5 cm SA 12 cm 10 cm 8 cm 4 cm cm 2 Enter

Given v 14 5 what are the magnitude and direction of v Round the magnitude to the thousandths place and the direction to the nearest degree 13 077 200 13 077 20 14 866 200 14 866 20 Sm

O 91 mL hr O 0 083 mL hr O83 mL hr O 83 gtt hr Question 24 3 gm 300 mg 30 mg O 30 000 mg mg

6 A physician orders 4 teaspoons daily of specific drug in four equally divided doses a How many milliliters of the drug should be administered daily b How many cc of the drug should be administered daily c How many fluid ounces of the drug should be administered daily d How many fluid ounces of the drug should the patient receive in each divided dose

which is composed of polynomial constant and exponential pieces

If a family borrows 23 742 for an addition to their home and the loan is to be paid off in monthly payments over a period of 10 years how much should eac payment be Interest has been included in the total amount borrowed Round your answer to the nearest cent if necessary Each payment should be

Jamie runs a math tutoring program For each student she charges an enrollment fee of 63 00 plus 18 00 per hour of tutoring If h represents the number of hours a student participates in tutoring which inequality symbolizes when a student s average cost per hour of tutoring is no more than 22 20 OA B OC OO E 63 00 18 00h h 63 00 18 00 h 63 00 18 00 h 18 00h 22 20 h 22 20 22 20 22 20 63 00 18 00h 22 20

Joseph is going to invest in an account paying an interest rate of 5 6 compounded annually How much would Joseph need to invest to the nearest hundred dollars for the value of the account to reach 8 300 in 10 years

Which of the following correctly shows the set D of all positive odd numbers less than 10 in roster notation Select the correct answer below OD 0 1 3 5 7 9 OD is the set of all positive odd numbers less than 10 O DID is the set of all positive odd numbers less than 10 1 257 01

Consider the following prisms whose bases are both squares 12 0 0 15 8 8 Naomi tried to use Cavalieri s principle to show that the two figures have the same volume The base areas are the same Therefore corresponding cross sections have the same area So the volumes must be the same What is the first mistake Naomi made Choose 1 answer 12 The base areas are not the same It isn t true that corresponding cross sections have the same area She did not establish that heights are the same

Decibels are a measure of sound on a logarithmic scale where the number in front of the zero represents the number of powers of 10 can think of as the number of zeros As an example a whisper is around 10 dB power ratio of 10 1 zero while a jet engine is around 120 dB power ratio of 1 000 000 000 000 12 zeros Convert the value of a washing machine at 80 decibels into a power ratio

Select the correct answer from each drop down menu Annie has a compost pile that produces 12 pounds of compost a day from yard waste Which function expresses the amount of compost c as a function of the number of days d The function representing the relationship between the amount of compost and the number of days is input as V with the

Question 22 Factor x 5x 6 O x 3 x 2 O x 6 x 1 O x 3 x 2 O x 6 x 1

A 60 ft long swimming pool is to be constructed The pool will be 3 ft deep at one end and 12 ft deep at the other To the nearest degree what will be the measure of the acute angle the bottom of the pool makes with the wall at the deep end 078 083 081 080 84

Which two of the objects shown below could we slice perpendicular to their bases faces to create triangle cross sections Choose 2 answers Cone Cube Cylinder

The definitions below can help us classify any real number as rational or irrational RATIONAL NUMBERS Can be written as a fraction terminating repeating decimals Square roots of perfect squares t 0 6 7 0 123456 0 33 an 20 1 75 HOMEWORK Classify each given value as rational or irrational Explain your choice in the last column VALVE RATIONAL OR IRRATIONAL EXPLANATION 12 121 TED IN CLASS IS ratinonal irrational rational rational irrational rational irrational irrational IRRATIONAL NUMBERS Cannot be written as a fraction non terminating non repeating decimals Square roots of non perfect squares can be written as fraction 12 can t be written as non infinite ded 20 can be written as ID is a fraction it s a non terminating it s a repeating decimal non terminating non repeating decimal

A horse eats about 3 lbs of food for every 100 lbs of body weight This can be represented by the function f x 3x for x hundred lbs Graph the function and use the graph to find the amount of food a 400 lb horse would eat Use the graphing tool to graph the function Click to enlarge graph Next Question

In 2011 the U S Department of Transportation reported with 95 confidence that the average length of a motor vehicle trip in the United States was 9 72 miles with a margin or error of 0 22 miles With 95 confidence the authors of the report are claiming that the true average length of a motor vehicle trip in the United States is between miles and The level of confidence for this estimate is

1 URE For f x x 6 and g x x 7 find the following functions a fog x b gof x c fog 3 d gof 3 a fog x Simplify your answer

Sheila works in a bookstore and sold 100 books She sold 28 more paperback books than hardback books How many of each type of book were sold Sheila sold 36 hardback books and 64 paperback books Sheila sold 72 hardback books and 28 paperback books Sheila sold 64 hardback books and 36 paperback books Sheila sold 28 hardback books and 72 paperback books

What does this math statement tell us AABC AXYZ B A X Z A Triangles ABC and XYZ are congruent this means their side lengths are equal to each other B Triangles ABC and XYZ are similar this means their side lengths are proportional to each other C Triangles ABC and XYZ are different they have different angles and their sides aren t

The prescribed dosage of a drug is 10 mg kg daily meaning that 10 milligrams of the drug should be administered daily for each kilogram of a patient weight How many 400 milligram tablets should be given each day to a patient who weights 175 pounds Use the fact that 1 lb is approximately 0 45 kg

Easton is working two summer jobs making 18 per hour tutoring and 9 per hou learing tables Last week Easton worked 4 times as many hours tutoring as he worked hours clearing tables hours and earned a total of 162 Graphically solve a ystem of equations in order to determine the number of hours Easton worked utoring last week a and the number of hours Easton worked clearing tables last veek y 20 19 18 17 16 45 14 13 12 11 10 9 Click twice to plot each line Click a line to delete it

1 There are 7 125 000 000 people on earth Represent this number in scientific notation a x 10 2 Heinz ketchup sells 1 1E10 packets of ketchup every year Represent this number in standard form 3 The distance to Mars is 38 000 000 miles away from Earth Represent this number in scientific notation a x 10 4 The width of a single piece of paper is 5E 5 meters thick Represent this number in standard form 5 A single M M weighs 0 0007776 kilograms Represent this number in scientific notation ax 10 Type the caret when representing an exponent Example 10 should be typed as 10 3 Question 1 type your answer Question 2 type yo

Write the equation of the line in fully simplified slope intercept form 12 11 10 987 d y 543 4 21 12 11 10 9 8 7 6 5 4 3 2 1 2 3 4 5 6 7890 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 12 x

ABCD QRST Find the missing side length m B 10 C 13 12 A 22 5 15 D m Rm S 5 2 4 8 9 6 T Enter

Andy who loves to cook makes apple cobbler for his family The recipe serves 6 calls for 2 pounds of apples 3 cups of flour cup of margarine 3 cups of sugar and 2 teaspoons of cinnamon Since guests are coming Andy wants to make a cobbler that will serve 15 increase the recipe 2 times How much of each ingredient should Andy use Use of apples Use of sugar Use of flour Use of cinnamon Use of margarine pounds cups cups teaspoons cup

Consider two fire towers in the Canadian wilderness Tower B is 40 miles due East of tower A The guards notice a fire that appears at a bearing of 70 degrees from Tower A and a bearing of 310 degrees miles from the tower B the closer of from Tower B The fire is at a distance the two towers Hint Draw a picture

est They Zoologists are studying two newly discovered species of Insects in population of Insect A to be 1 3 million and the current population of Insect B to be 2 1 million As development is encroaching on the section a rain forest where these insects live the zoologists estimate the populations of Insect A to be reducing at a rate of 3 8 and insect B to be reducing at a rate of 4 6 If Prepresents the population of each species of insect in millions and trepresents the elapsed time in years then which of the following systems of equations can be used to determine how long it will be before the populations of the two species are equal OA O B SOC OD P 1 3e 0 038t P 2 1e 0 0461 P 1 3e 0 38t P 2 1e 0 461 P 1 3e0 0381 P 2 1e0 0461 P 1 3e0 381 P 2 1e0 46t

emand TWO iness students decided to open a small company together to sell the own brand of sheakers After doing some research they estimated that the wholesale price of their product p in dollars would be related to the monthly supply X in hundre airs by the equation 5 x p 4700 ow fast is the quantity demanded changing when the unit price per pair of sneakers is 40 dollars the monthly supply is x 15 and the unit price is increasing at a rate of 4 dollars per month ote Enter your solution as a decimal rounded to four 4 decimal places without units

Suppose you wish to install a drip sprinkler system and need to run a drip water line to five areas as shown in the given graph The numbers show the distances in feet What is the smallest number of feet of drip hose necessary to install 80 A The smallest number of feet of drip 126 ft B The smallest number of feet of drip 111 ft The smallest number of feet of drip 216 ft 43 40 70 72 40 45 46 48

A ball bounces to a height of 6 7 feet on the first bounce Each subsequent bounce reaches a height that is 81 of the previous bounce What is the height in feet of the sixth bounce Round your answer to the thousandths place 1 892 ft

Meals with Clients Breakfast 20 per person Lui Total meals expensed must not exceed allowed expenses based on rates given Question Decide if total meal reimbursement requests should be approved Meal Employee Breakfast Client Lunch Client Dinner Total Approval Status Andrew of People 2 3 3 Brianna Cost 26 53 75 45 150 04 252 02 Carlos

A saleswoman wants to visit eastern cities New York City Boston Cleveland and Washington D C Driving distances are as shown in the figure below What is the shortest trip starting in New York that visits each of these cities if r1 486 r2 473 Find a solution using any method A 1814 mi B 1813 mi C 1810 mi D 1811 mi Cleveland 712 667 Wash D C Boston 235 197 NYC