Basic Math Questions and Answers

An ice cream waffle cone can be modeled by a right circular cone with a base diameter of 6 6 cm and a volume of 54 45 cubic centimeters What is the height of the cone in centimeters 1 3 75 2 5 3 15 4 24 75

Noel has an initial account balance of 4 000 For the next five months her account balance increases by 1 000 per month After that her account balance b decreases by 1 000 per month t Which statements are true for this situation The equation that models the account balance is b 11 000r 5 000 9 000 O The equation that models the account balance is b 11 000r 9 000 9 000 The equation that models the account balance is b 11 000t 9 000 4 000 Noel s account balance will be 7 000 in 3 months and 7 months Noel s account balance will be 7 000 in 7 months and 11 months

Lollipops are selling for 5 00 a pound Tootsie Rolls are selling for 2 50 a pound Wendy wants to spend exactly 80 to get a total of 30 pounds of candy How many pounds of each should she get Answer pounds of

Multiply and Divide Rationals Quiz Level G Anaya is viewing her bank account online She sees 3 entries for Monday each for 10 50 Write an expression to represent the total change in Anaya s account on Monday 10 50 3 10 50 3

9 Determine the amplitude A period P and phase shift PS of the function f x 8sin 2 x 4 10 OA 8 P n PS 4 10 O A 8 P n PS 4 10 O A 8 P n PS 4 10 O A 8 P n PS 4 10

The value of a laptop t years after it is purchased is given by the decreasing function V where V t is measure in dollars The rate of change of the laptop s value in dollars per year is proportional to the laptop s value Which of the following differential equations with the correct description of constant k could be used to model the value of the laptop 1 point dVV where k is positive dt dv k dt V where k is negative V kV where k is negative It kt where k is positive

Find the total selling price 3 Mi Lynn Sato gave the sales clerk a 50 bill and a 5 bill and received 2 40 in change If the sales t rate in her community was 5 25 what was the item s total selling price

At the gift shop they sell small greeting cards and large greeting cards The cost of a small greeting card is 2 15 and the cost of a large greeting card is 5 40 How much would it cost to get 2 small greeting cards and 5 large greeting cards How much would it cost to get a small greeting cards and y large greeting cards Total cost 2 small greeting cards and 5 large greeting cards Total cost a small greeting cards and y large greeting cards

Jenny Tarver purchases a 1 599 99 treadmill a 49 99 pair of walking shoes a 79 99 leather handbag 6 pairs of socks at 8 99 per pair and 2 pairs of running shorts at 19 99 each at the County Store in Bay Shore New York The state sales tax rate is 4 the county rate is 4 25 and the city transportation tax rate is 0 25 What is the sales tax on her purchases

Find the total selling price Remember that this price does not include the tax Johnny Most paid 255 25 total for a new solar panel If the sale tax rate is 9 in his community what was the panel s selling price

Find the surface area of the composite figure 6 cm 4 cm 15 cm 3 cm 5 cm SA cm 6 cm Enter

The number of people who visited a state park over the last nine years is recorded in the table 5 198 Year Visitors 1 452 2 360 3 348 Complete the statements describing the situation 4 302 The visitor data is best modeled by a function Based on the model the state park management should plan for 6 124 7 204 8 308 9 398 than 400 visitors next year

5 PacBell 6 34 8 b C 6 55 d 5 Jose 1 99 4 Nel Cng 1 What is the coupon rate and maturity date for this bond a 5 The coupon rate is 6 the maturity date is 2034 8 1 The coupon rate is the maturity date is 2034 5 The coupon rate is 6 the maturity date is 2099 81 The coupon rate is 6 55 the maturity date is in 5 years

Quadrilateral ABCD is a kite What is AE D 13 12 A MU C B

32 Determine if the function is a polynomial function If the function is a polynomial function state the degree and the leading coefficient If the function is not a polynomial state why x x 1 x 2 This is not a polynomial function because it is not written in the form f x ax bx rx sx t This is not a polynomial function because the factors are not all linear O This is not a polynomial function because there is no leading coefficient

Many large farms use center pivot irrigation which involves a sprinkler rotating around a central point as shown in the figure A particular system uses a sprinkler 120 meters long and rotates per hour What is the total area in square meters that the sprinkler will water in 5 hours S O 120 meters Enter your answer as a value rounded to the nearest whole number

The CEO of a company wants to determine if taking the employees to a company retreat would boost their morale He decides to use a random number table to survey a simple random sample of 50 of the 250 employees Which of the following correctly labels the population of employees O000 250 O 001 250 O 0 250 1 250

Select the correct answer from each drop down menu A store owner must decide whether to continue stocking a particular brand of jeans in the upcoming year The graph shows the unit sales of this item in the years since the store started stocking it Sales of Jeans Pieces Sold thousands 12 10 8 S 2 3 The data is best modeled by a Based on the graph the store owner Year Complete the statements describing this situation function 15 6 continue stocking this particular brand of jeans

Two straight fences meet at point A and a field lies between them A horse is tied to a post P by a rope of length r metres Point D is on one fence and point E is on the other such that PD PE PA r and DPE 0 radians This is shown in the following diagram The length of the arc DE shown in the diagram is 28 m 7d Hence find the size of D E 2 marks A new fence is to be constructed between points B and C which will enclose the field as shown in the following diagram IN 800 m B fence Point C is due west of B and AC 800 m The bearing of B from A is 195

Two friends are sitting on a seesaw at the park The height h t of the left seat in inches above the ground Is modeled by a sine function Let t represent the time in seconds since the friends started seesawing t h t 0 24 O A 4 seconds 1 48 O B 6 seconds OC 3 seconds OD 2 seconds 2 24 3 0 4 24 f the friends start seesawing with the plank in a level position how long does it take for the friend in the left seat to move upward downward and then back to the initial position 5 48 6 24

An object is moving at a speed of 95 kilometers every 7 5 weeks Express this speed in feet per day Round your answer to the nearest whole number Note you must use these exact conversion factors to get this question right Distance length Time 1 foot ft 12 inches in 1 yard yd 3 feet ft 1 mile mi 5280 feet ft 1 meter m 100 centimeters cm 1 kilometer km 1000 meters m 1 inch in 2 54 centimeters cm 1 foot ft 0 305 meters m 1 mile mi 1 609 kilometers km 1 minute min 60 seconds sec 1 hour hr 60 minutes min 1 day day 24 hours hr 1 week week 7 days days 1 month month 30 days days 1 year year 365 days days

You are shopping for dinner for your family in a fast food restaurant but you are concerned about fat An informative menu gives you the following information Chicken sandwich Onion rings Hamburger 24 30 Item Grams of fat Fries 35 12 a How much total fat is in an order of 5 hamburgers 1 chicken sandwich 4 orders of fries and 4 orders of onion rings x 9 b Use a formula to express the total grams of fat F in an order of h hamburgers c chicken sandwiches forders of fries and o orders of onion rings F

Select the correct answer Cassidy is planning to obtain a loan from her bank for 210 000 for a new home The bank has approved Cassidy s loan at a fixed annual intere rate of 2 7 compounded monthly for 15 years Use the formula to determine Cassidy s approximate monthly payment P F p 1 1 1 OA Cassidy s approximate monthly payment will be 1 721 15 OB Cassidy s approximate monthly payment will be 1 474 58 OC Cassidy s approximate monthly payment will be 5 717 26 OD Cassidy s approximate monthly payment will be 1 420 11

Guests are arriving for a show when the theater manager realizes he forgot to turn on the air conditioning The guests are very hot and uncomfortable At 2 04 p m the manager turns on the air conditioning It is 85 F in the theater a At 2 15 p m the manager announces that he has bad news Using average rate of change he predicts the theater will not cool off to a comfortable 70 F until 3 00 p m What calculations did the theater manager make What was the temperature at 2 15 p m Hint a 201 b As the air conditioner continued cooling the manager recorded these actual temperatures Time of day p m 2 04 2 15 2 24 2 32 2 37 2 53 3 01 3 18 3 27 3 40 Temperature F 85 78 76 73 72 71 70 70 79 What was the average rate of change after 3 00 p m until the temperature reached 70 F Why was the manager so far off in his prediction Hint b

Question 24 U Does the following graph have a maximum or minimum at its vertex What is the max min value Choose 2 2 3 O Minimum 3 pts Maximum

Rt L The electric current i in a circuit containing a resistance and an inductance see the figure below is given by In where I is the current at t 0 R is the resistance t is the time and L is the inductance Find how long in s it takes the current to reach 0 4 of the initial value of 0 751 A if 1 0 751 A R 7 61 2 and L 1 26 H E R The current changes from 0 751 A to 0 4 of 0 751 Ain Round to the nearest thousandth as needed S

Q2 2 Anna wants to mail a flag pole to her friend The flag pole is 5 feet long She has a box that is 1 ft by 1 ft by 4 ft Will the flag pole fit in the box Yes O O No Defend your answer using the Pythagorean theorem

Dan purchased a baseball glove for 63 50 If the sales tax is 8 25 what will be the total amount he will pay for the glove Dan heard about a quick way to find the total price of an item He was told that if sales tax is 8 25 he should simply multiply the price of the item by 1 0825 Check the first problem by using this method Carlos decides to buy two t shirts for 15 00 each and some socks that cost 5 99 each Which equation below shows the total cost y given in terms of the number of socks that were purchased p if a 8 5 sales tax was applied A 2 15 00 8 5 5 99 y B y 5 99p 15 00 085 C 1 85 5 99p 30 00 y D y 1 085 5 99p 30 00 0

15 Identify whether each segment is an altitude an angle bisector a median or a perpendicular bisector SEE EXAMPLE 1 D A C a BD C CE E B 15 b FJ d KL L F 16 What is the value of KL SEE EXAMPLE 2 H K G H

Consider the two triangles shown below 5 DD 7 7 Note The triangles are not drawn to scale Are the two triangles congruent Choose 1 answer A B 5 Yes No There is not enough information to say

1 point Edfinity understands most of the standard mathematical functions It can compute base 10 logarithms with log and natural logarithms with In If your course involves trigonometric functions it can evaluate those as well Note for trig functions Edfinity always uses radian mode Here s the list of the functions which Edfinity understands many of which you will not need for your course To try one we will use the In function natural logarithm Compute 2 ln 5e 3 Answer You can enter this as 2 ln 5 e 3 or more simply as 2ln 5e 3 Those who have studied logarithms before we could enter this as 2 In 25 9 which also works Sometimes you need to use s to make your meaning clear E g 1 2 3 is 3 5 but 1 2 3 is 2 Why Try entering both to see the difference In addition to s you can also use s and 1 2 3 may also recognize that

The lengths of 2 consecutive sides of the parallelogram shown are 10 inches and 15 inches The 2 sides include an angle of 60 A 10 60 B 15 To the nearest tenth of a square inch what is the area of the parallelogram E 140 5 sq in G 139 4 sq in D 21 6 sq in 129 9 sq in C

Select the correct answer from the drop down menu A company sells its product to distributors in boxes of 10 units each Its profits can be modeled by this equation where p is the profit after selling n boxes P n2 300n 100 000 Use this equation to complete the statement L The company breaks even meaning the profits are 0 only when it sells boxes

the problem 13 Amy has 6 blue 2 red and 3 green books to arrange on a shelf In how many distinguishable ways can the books be arranged if books of the same color are identical A 4620 ZONESIA X B8640 C 728 D 51 840 AS26 2015

David performed the following mathematical operation 2x 3 x 3 2x 9x 9 He was left with a remainder of zero Which of the following statements must be true A 3 must be a root of the polynomial 2x 9x 9 OB must be a root of the polynomial 2x 9x 9 2 C 3 must be a root of the polynomial 2x 9x 9 D 2 3335 must be a root of the polynomial 2x 9x 9 4

A sample of bacteria is growing at an hourly rate of 15 according to the continuous exponential growth function The sample began with 11 bacteria How many bacteria will be in the sample after 21 hours Round your answer down to the nearest whole number Provide your answer below 7 bacteria 8 9 x y x

A renter wanted to paint a small wall in her apartment She bought a can paint that was supposed to cover 110 square feet The height of the wall was 8 1 3 feet high What length of wall could she paint with this one can of paint 11 2 3 feet O 101 2 3 feet O10 1 3 feet O13 1 5 feet

Question 27 Justin has 3 skateboards and plans to purchase 2 more skateboards each month Does this situation model a linear or exponential function O Exponential

When Kylie commutes to work the amount of time it takes her to arrive is normally distributed with a mean of 47 minutes and a standard deviation of minutes What percentage of her commutes will be shorter than 45 minutes to the nearest tenth Stotiction Calculator

The spinner below is spun once Find each probability as a fraction in simplest form 10 9 12 1 7 6 2 6 P shaded Xr NM 1 2 3 Plunshaded or even 4 1 2 11 12 8 P prime and less than 10 14 12 2 1 5 6 7 8 m ym ym Gina Wilson All Things Algebra LLC 2020

Technology required 8 Y 83 102 87 115 91 107 93 122 97 125 97 127 101 120 104 127 1 Use graphing technology to create a scatter plot and find the 2 What does the best fit line estimate for the y value when a is

Mateo teaches a continuing education class at the library on Tuesday nights He estimates that 75 of his students are satisfied or very satisfied with the class Last week he asked a random sample of students to take a survey on their experience in the class However the results showed that only 70 indicated that they are satisfied or very satisfied with the class He decides to randomly survey more of his students How will Mateo know whether his model is valid or not O A It is valid if the result from all the surveys and the model get farther apart O B It is valid if the result from all the surveys and the model stay the same It is impossible to determine whether the model is valid It is valid if the result from all the surveys and the model get closer together OC O D

Lydia bought a shirt at 20 off its retail price of 40 She paid 5 tax on the price after the discount How much did Lydia pay for the shirt A 42 B 36 60 OC 34 OD 33 60

Select ALL the correct answers Marley owns a music store The first week a new album was released he sold 800 copies at his store Each week after the release the number of copies sold decreased by 11 Select all the functions that can be used to find the number of copies sold fn n weeks after the release f 1 800 f n f n 800 0 11 n O 1 800 f n 0 89 f n 1 for n 2 1 Of n O 1 O f n 0 11 f n 1 for n 2 1 800 0 89 n 11 f n 800 f n 1 for n 2 800 0 89m

A slide at the park is 12 5 feet long The bottom of the ladder to the bottom of the slide is 8 feet How tall is the ladder on the slide Answer as a decimal rounded to the nearest hundredth Do not include units 12 5 ft 8 ft

The line graph shows the number of awakenings during the night for a particular group of people Use the graph to estimate at which age women have the least number of awakenings during the night and what the average number of awakenings at that age is Women have the least number of awakenings during the night at the age of Type a whole number The average number of awakenings at that age is Type a whole number Number of Awakenings During the Night 7 6 5 4 3 N 20 40 men H women 60 80

Directions Drag each tile to the correct box The three tables below show the ratios of ingredients needed to make watercolor paint Baking Soda tbsp Vinegar tbsp 6 8 15 18 Syrup tsp 4 10 14 Cornstarch tsp 10 25 35 Put the specified ratios in order from least to greatest Red Dye to Blue Dye 20 24 Baking Soda to Vinegar Red Dye mL 8 12 16 Syrup to Cornstarch Blue Dye mL 14 21 28

Line m and line n are parallel and 7 units apart If AABC is reflected across line m and then reflected across line n the image AA B C can also be written as a translation AABC units to the right C B AM N y X

The marketing department of the Fitrite shoe company surveyed people who had never bought Fitrite shoes The top 4 reasons for not buying Fitrite shoes are shown Reason Have never been able to find them Too expensive Don t come in my size 87 I buy the kind with the Ruff the Shoeperdog mascot 12 Number OA placement and promotion OB placement and product C price and product D price and promotion 65 22 Based on these results which two of the four Ps of marketing should the company emphasize to attract new customers

A company that produces widgets has a fixed cost of 400 and a unit cost of 80 per widget Each widget sells for 96 Use the interactive figure to find your answer Click here to launch the interactive figure a How many widgets must the company produce and sell in order to break even What is the cost and revenue at the break even point The company must produce and sell widgets The cost and revenue both equal b What is the company s profit or loss when 50 widgets are produced and sold OA The company makes a profit of B The company incurs a loss of c If the company incurs a loss of 240 how many widgets did they produce and sell The company produced and sold widgets