Basic Math Questions and Answers

4 What is 3 10 as a percent O A 300 OB 30 O C 3 OD 0 3

The legislature in a state has 40 seats Apportion these seats to the five counties below using Hamilton s method County Population Seats Received Adams 481 000 Grant 333 000 Colton 290 000 Davis 335 000 Hayes 149 000

For the data shown answer the questions Round to 2 decimal places X 13 6 7 6 15 2 27 7 15 6 29 6 2 4 12 8 5 4 19 4 Find the mean Find the median Find the sample standard deviation

1 Sketch Density Curves Sketch density curves that describe distributions with the following shapes a Symmetric but with two peaks that is two strong clusters of observations b Single peak and skewed to the left

Zhao puts z dollars into an investment with an interest rate of 3 percent per year and y dollars into an investment with an interest rate of 8 percent per year She invests a total of 3200 and her interest earnings after one year are 181 From this information we can create two equations one for the total investment and one for the interest earned State both equations and then solve the system to determine how much Zhao invested in each The equation that describes the total investment is The equation that describes the interest earned is Amount invested at 3 percent interest is 5 Amount invested at 8 percent interest is S 4

Problem 4 In the manometer shown in the figure below both fluids are at 20 C If surface tension effects are negligible what is the density of the oil in kg m Oil 6 cm Water T 8 cm 1 10 cm

A rocket ship travels at 2 0 x 104 miles per hour If a satellite is 4 9 105 miles from Earth how long will it take the rocket to make the trip from Earth to the satellite Hint Divide t distance to the satellite by the speed Write your answer in scientific notation It will take Use scientific notation Use the multiplication symbol in the math palette as needed

In one year a government collected about 6150 per person in taxes If the population was 24 000 000 how much did the government collect in taxes that year The government collected Round to the nearest hundredth as needed Use scientific notation Use the multiplication symbol in the math palette as needed

A professional athlete signed a contract that would pay her 1 7 x 10 per month How much money will the athlete make at the end of 2 years Hint Multiply the amount per month by the number of months in 2 years Write your answer is scientific notation The athlete will make in 2 years Use scientific notation Use the multiplication symbol in the math palette as needed

Evaluate the following expression using exponential rules Write the result in standard notation 2 4 10 6 8x10 6

1 A student received a 75 on an exam If there were 20 questions on the exam which ratio would show the number of questions answered correctly to the total number of questions O A 20 15 OB 20 5 O C 5 20 O D 15 20

13 Edgar Anderson earns 300 a week plus a 15 commission only on sales he makes after his first 1000 in sales If Mr Anderson s sales for one week are 2 500 what is his gross pay for that week O A 675 B 575 O C 525 O D 450

1 Lavina wants to buy a rocking chair for 160 She ll pay 10 down and pay the rest in six monthly installments What will be the amount of each monthly payment O A 26 O B 16 O C 27 O D 24

3 Paul can type 60 words per minute and Jennifer can type 80 words per minute How does Paul s typing speed compare to Jennifer s O A Paul can type 1 3 as fast as Jennifer O B Paul can type 3 4 as fast as Jennifer O C Paul can type 11 3 times as fast as Jennifer D Paul can type 1 4 as fast as Jennifer

18 Of the runners in a marathon through Northeastern Pennsylvania 94 12 finished the race If 2 125 runners started the race how many finished the race O A 1 854 OB 2 227 O C 2 000 O D 1 500

15 Kent worked in the housewares section of a department store This year he set a record high for vacuum sales with 567 vacuums sold The previous high was last year when 540 vacuums were sold What is the percent of increase in sales from last year to this year O A 5 B 20 O C 105 O D 50

16 If a university wants to maintain a 14 1 ratio between students and teachers how many teachers would be needed to accommodate 896 students OA 64 teachers OB 28 teachers O C 100 teachers O D 14 teachers

20 Solve for the variable in 6 18 1 36 O A 12 O B 3 O C 9 O D 6

17 Percent means per O A 100 OB 10 O C 1000 O D 1

7 Xavier worked 10 hours on Monday and 15 hours on Wednesday His total pay was 280 00 What is his rate per hour O A 7 50 O B 15 00 O C 11 20 O D 18 25

11 What are the means of the following proportion 3 15 12 60 O A 15 and 12 O B 12 and 60 O C 3 and 15 O D 3 and 60

A student received an 82 on an exam If there were 50 questions on the exam which ratio would show the number of questions answered correctly to the total number of uestions DA 82 50 OB 59 50 OC 25 50 OD 41 50

12 Change the fraction 1 5 to a percent O A 20 O B 45 O C 50 O D 12

8 Complete the following equation using or 120 1 O A O B O C

5 Angelo earns 2 080 each month His total deductions are 30 of his pay How much is deducted from his pay each month O A 624 00 B 69 33 O C 693 33 D 62 40

for the question 2 During a paint sale a hardware store sold 33 gallons of flat paint and 57 gallons of high gloss paint What s the ratio of gallons of high gloss sold to the total gallons sold OA 57 33 OB 57 90 O C 33 90 D 33 57

12 Tucker 1 2 7 A furniture manufacturer makes tables chairs and sofas In one month the company has available 300 units of wood 225 units of upholstery and 350 units of labor The different products require the following amounts of resources Table Chair Sofa 4 1 3 Wood Upholstery 2 Labor 0 4 3 2 5 The manufacturer wants a production schedule for the month that uses all these resources Write out a mathematical model for this production and use trial and error i educated

Question 8 Write an equation for the line graphed below 7 6 5 4 3 2 1 7 6 5 4 3 2 1 1 2 3 4 5 6 7 2 3 4 5 6 7 forum

9 The Smiths took out a 30 year mortgage How many monthly payments will they have to make on this mortgage O A 360 OB 36 O C 12 O D 120

2m O A 900 cu m B 9 cu m C 6 cu m D 12 cu m 1 5 m 3m 11 What s the volume of a block of ice measuring 3 meters long 1 5 meters wide and 2 meters high

4 How many yards are in 5 miles O A 8 800 yd O B 1 760 yd O C 26 400 yd O D 5 280 yd

20 The English measurement system is primarily used by what country O A England OB United States O C Italy OD Ireland

10 If a thermometer indicates 40 degrees Celsius what s the temperature in degrees Fahrenheit O A 72 F B 54 F O C 104 F D 22 F

18 What s the conversion factor used to convert miles to yards O A 1 mile 1 760 yards O B 1 mile 1 000 yards 1 O C 1 mile 5 280 yards O D 1 mile 3 600 yards

15 Change 75 millimeters to decimeters O A 750 dm O B 7 500 dm O C 7 5 dm O D 75 dm

2 What s the elapsed time between 3 40 A M and 2 00 P M O A 11 hr OB 1 hr 40 min O C 10 hr 20 min OD 8 hr 20 min

16 How many yards are in 7 miles O A 252 O B 36 960 O C 700 O D 12 320

17 Which prefix means 1 10 of a unit in the metric system O A Hecto O B Milli O C Deci O D Centi

O O O Lyrics were in the vernacular It did not typically feature instrumental accompaniment It was developed by monks and nuns It was typically performed in church

12 How many cubic feet are in 3 cubic yards O A 5 184 cu ft OB 81 cu ft O C 27 cu ft O D 9 cu ft

7 The Patels took out a 15 year mortgage How many monthly payments will they have to make on this mortgage O A 360 B 60 O C 90 D 180

1 The gross weight of a package and its contents is 11 pounds 5 ounces If the packaging weighs 1 pound 15 ounces what s the net weight of the contents O A 10 lb 6 oz OB 9 lb 6 oz O C 12 lb 20 oz O D 10 lb 5 oz

5 41 F equals how many degrees Celsius O A 5 C O B 9 C O C 56 C O D 5 C

8 If a thermometer indicates 30 degrees Celsius what s the temperature in degrees Fahrenheit O A 24 F B 86 F C 54 F D 17 F

6 What s the sum of 5 feet 9 inches and 12 feet 3 inches O A 18 ft 1 in OB 17 ft 1 in O C 17 ft O D 18 ft

Which style do these musical characteristics describe Music that used vernacular language rather than Latin for its lyrics Music that was performed by poet musicians called troubadours trouveres or minnesingers Multiple Choice Organum Motet Medieval secular music

Tell me what you want to do 11121314151617181 91 10 11 12 13 14 1 Review View Help A particular brand of portable stereo has the following extended demand curve Qd 10 000 200P 0 03Pop 0 6Y 0 2A where P is the price of the stereos Pop is the population Y is the disposable income and A is the advertising expenditure Type answer below 15 16 a Explain the impact size and direction of the independent variables on the quantity of portable stereos 8 marks 17

Using the property tables for refrigerant 134a determine the phase by choose one belo when T 12 C and P 2 bar A Compressed liquid B Saturated liquid C Saturated liquid vapor mixture D Saturated vapor E Superheated vapor when P 120 kPa and T 0 C when P 70 kPa and u 210 90 kJ kg when T 0 C and v 0 05 m kg

5 1 5 pts Write a temperature story that represents the computation 2 4 Make sure your story ends with a meaningful question

A closed piston cylinder device contains 0 5 kg of air initially at 300 K and 100 kPa The air now slowly compressed in an isothermal process to a final pressure of 250 kPa a Determine the volume in m of the air at the initial state b Determine the temperature in K of the air at the final state c Determine the volume in m of the air at the final state