Basic Math Questions and Answers

Complete the statement If two polygons are similar then their corresponding 1 are congruent and their corresponding 2 are proportional O 1 Sides 2 Areas 1 Angles 2 Areas O1 Angles 2 Sides 1 Sides 2 Angles

Directions Find the next five terms then write a conjecture 1 13 18 23 28 Conjecture 2 512 256 128 64 Conjecture

The US Bureau of Labor Statistics predicts the US economy will add more than 7 371 900 million jobs from 2012 to 2022 More importantly of the occupations predicted to add jobs 1 044 600 of those new jobs will likely come from the four highest paying occupations The number of new jobs predicted for each of the four highest paying occupations was used to compute the probabilities below Occupation Probability 0 504 0 866 0 872 General and operations managers 0 234 Consider the new jobs associated with these four high paying occupations if we randomly select one of the new jobs what is the probability that the occupation is registered nurses 0 766 Management analysts 0 128 Software developers applications 0 134 Registered nurses

State whether the following scenarios would produce positive negative zero or undefined slopes a George s financial investment increasing in value b Gwen applying the brakes to stop at a red light c Volume in the gas tank compared to distance travelled d Filling up the gas tank at a gas station compared to distance travelled at the gas station Petra is paid 15 hour at her job She is looking for other positions and is offered a job where she will be paid 10 hour plus a bonus of 25 day if she sells above quota Assume that at either job she will work an 8 hour day and that she is able to sell above quota every day a Complete the table of values for 8 hours or one day Start both jobs at time 0 hours Apply the bonus of 25 at the new job at time of 0 hours Time hors Cu nt 0 1 N 3 Chapter 10 Assignmen 4 5 6 7 8

steps must be shown to receive full credit Clearly state or mark your answer If you images graphs or drawings to include please include those as image files as we learr it already Click here to Print View the full workcheck document PDF form Lesson 5 1 10 points 1 Find x and WE given that WC is a median Find x if WD x 1 and WE 2x 2 Y W

Describe the increasing and decreasing intervals for the graph below 7 6 5 s Decreasing interv 6 5 4 2 1 1 2 If you cannot see the image Click Here e Increasing interva Select never 2 infinity infinity 2 U 2 infinity infinity 3 U 3 infinity 1 y 3 2 3 4 567 49

3 Model with Math Clare had t seashells After she bought 8 more seashells she had 24 seashells Write and solve an equation to find the number of seashells Clare started with 4 Model with Math The outside temperature dropped 20 F from the time Arianna ate breakfast until the time she ate dinner When she ate dinner the temperature was 35 F Write and solve an equation to find the outside otwhen Arianna ate breakfast

Mr Frankel bought 9 tickets to a puppet show and spent 57 He bought a combination of for 3 each and adult tickets for 9 each How many of each type of ticket did he buy 3a 9

10 What is the missing statement in step 4 Read the proof Given AE LEC BDL DC Prove AAEC ABDC Statement 1 AE LEC BD 1 DC 2 ZAEC is a rt 4 BDC is a rt 2 L 3 AEC BDC 4 5 AAEC ABDC Reason 1 given 2 definition of perpendicular 3 all right angles are congruent 4 reflexive property 5 AA similarity theorem

Question A pool party is occurring at the Robertson s house this next holiday They want to invite 64 friends and family Only 26 friends and 9 family members reply to the invite The Robertson s are a family of 5 Their pool is 35 feet long and is 10 feet deep when filled to capacity They are worried children under 5 will struggle in the pool so they only fill the pool to 5 feet The day of the party 53 people show up The son Billy is 4 5 feet tall If Billy s height is half the width of the pool what is the volume in cubic feet of water the Robertson s filled the pool with Do not include units in your answer Round your answer to the nearest whole cubic foot For example if the answer is 19 cubic feet put 19

When triangle ABC is reflected across line AB the image is triangle ABD Why is angle ACD congruent to angle ADB A D B C A Corresponding parts of congruent figures are congruent B Congruent parts of congruent figures are corresponding C Segment AB is a perpendicular bisector of segment DC D An isosceles triangle has a pair of congruent angles

A local school has 6 clubs The number of students in each club is shown in the bar graph below Use this bar graph to answer the questions Number of Students 12 10 8 6 4 2 0 French Glee Chess Club Latin Drama Math a which club has the most students French Glee Chess How many students does that club have student s b How many more students are in the Glee Club than in the Chess Club more student s Latin Drama O Math

X fig 1 Given Line segment WZ bisects line segment XY Line segment XY bisects line segment WZ To prove Triangles WAX and ZAY are congruent Statements 1 Segment WZ bisects XY 2 Segments XA and AY are congruent 3 Segment XY bisects WZ 4 Angles WAX and YAZ are congruent 5 Triangles WAX and ZYA are congruent Reasons 1 given 2 When a segment is bisected the resulting segments are congruent 3 given 4 Vertical angles of intersecting lines are equal 5 Triangles with two sides and an included angle equal

6x 55 x 1 Rewrite the equation by completing the square Your equation should look like a c 2 dor x c d 2 What are the solutions to the equation Choose 1 answer A B D x 3 8 x 3 8 x 8 3 x 8 3 20 RON 200 42801

A newscaster earns 33 200 and wants to invest 10 of his her monthly salary to save for retirement in 30 years If he she invests this money at 2 compounded monthly how much mone will he she have at retirement a How much will be saved each year b What will be the monthly deposit c What will be the amount in the account after 30 years

Select the correct answer from the drop down menu Grant Valley School has hired a fleet of buses and vans to transport 96 students to a picnic Each bus can seat 31 people and each van can sea people The school authorities want to have three teachers traveling in each bus and one teacher in each van It will take to accommodate 107 people including the students and teachers with no seats left vacant

Payah kun said the Eldest Magician meaning That is quite right and he breathed upon the great rocks and lumps of earth that All the Elephant there was had thrown up and they became the great Himalayan Mountains and you can look them out on the map Then the Moon rose big and full over the water and the Eldest Magician said to the hunchbacked old man who sits in the Moon spinning a fishing line with which he hopes one day to catch the world Ho Fisher of the Moon are you playing with the Sea The Crab That Played with the Sea Puduard Kinling How does the use of imagery create meaning The imagery emphasizes the compassion and authority of the Eldest Magician O The imagery explains how the animals are responsible for creating nature O The imagery reveals the power that the old man has over the moon O The imagery highlights the importance of earth Moon and Sea

The sets below represent test scores for two students in Mrs Silvio s trigonometry class Michelle 71 68 84 88 Valerie 78 82 76 80 Which statement correctly describes the relationship between the two students test scores 3 Valerie s mean test score is greater and 1 Michelle s mean test score is greater her interquartile range is greater and her test scores have a greater interquartile range 2 Michelle s population standard deviation is greater but her range is smaller 01 02 4 Valerie s mean test score is greater but her population standard deviation is smaller Submit Answer

4 Tyler and Han are trying to solve this system by substitution Tyler s first step is to isolate x in the first equation to get x 5 3y Han s first step is to isolate 3y in the first equation to get 3y 5 x x 3y 5 9x 3y 3 Show that both first steps can be used to solve the system and will yield the same solution

U 10 B m 12 E Which equation results from applying the secant and tangent segment theorem to the figure 12 a 12 10 10 12 a 10 a 10 12 10 12 a

The following graph describes the height in meters of a rider on a ferris wheel after time t in minutes What is the radius of the ferris wheel Th t 120 110 100 90 80 70 60 50 40 30 20 10 10 20 a 30 m b 50 m c 105 m d 25 m 10 15 20 25

Peaches are being sold for 2 per pound The customer created a model to represent the total cost of peaches bought If x represents the number of pounds of peaches bought and y represents the total cost of the peaches which best describes the values of x and y O The values of both x and y can be any real number O The values of both x and y will be real numbers greater than or equal to 0 O The value of x and y will always be zero O The value of x can be any real number greater than or equal to 0 but the value of y must be an integer greater than or equal to 0

Kendra is trying to decide whether to go to Abby s house to watch a movie or to go to Samuel s house to play board games They live about the same distance away and there is no cost for either event If she chooses to go to Abby s house what is the opportunity cost 1 point There is no opportunity cost because there is not cost associated with either option Economics do not apply to this kind of decision O The difference in value to Kendra of the two options O The net value to Kendra of going to Samuel s house to play games O The net value to Kendra of going to Abby s house to watch a movie

16 Select the correct answer The Cohen family started their wheat farm in 1995 The equation models the number of bushels of wheat they produced each year where tis the number of years since 1995 C t 7 000 500 ln t 1 The Mason family also started their wheat farm in 1995 The graph models the number of bushels of wheat they produced each year where tis the number of years since 1995 4 24 16 8 M t 4 12 000 OB 8 000 4 000 OC OD 4 000 8 000 12 000 16 24 Which statement is true about the quantity of wheat the two farms will produce as the years pass t OA The Mason farm s wheat production will continue to increase each year without bound while the Cohen farm s wheat production will approach a stable amount The Cohen farm s wheat production will continue to increase each year without bound while the Mason farm s wheat production will approach a stable amount The wheat production of both farms will continue to increase each year without bound The wheat production of both farms will approach a stable amount as the years pass

Sarah wants to put three paintings on her living room wall The length of the wall is 15 feet longer than its width The length and width of the paintings are 3 feet and 4 feet respectively x ft 4 ft OA 15 x ft Which inequality can be used to solve for x the height of the wall if the combined area of the wall and the paintings is at most 202 square feet B C 3 ft D Submit Tes x2 15x 238 0 x2 190 0 x2 15x 166 0 x2 15x 166 0 1

Eva invests 8000 in a new savings account which earns 4 8 annual interest compounded semi annually What will be the value of her investment after 7 years Round to the nearest cent

ATV manufacturer makes two models of a particular TV that are nearly identical except one is a dilation of the other a 48 in c If it is a proper dilation what should the approximate length of the smaller TV be 37 3 inches 39 6 inches 36 5 inches 27 in d 35 2 inches PP in 21 in

Score 10 180 1 18 answered Question 10 Find the unit price If necessary round your answer to the nearest cent You would enter an answer like 0 49 pound the value like 0 49 in the first box and the appropriate unit like pound in the second box 6 kg for 6 29 Question Help Worked Example 1

At Handy Hardware Shop s annual spring cleaning sale every ratchet set in the shop gets marked down Austin purchased 2 ratchet sets during the sale one for himself and one to give to his dad on Father s Day Each ratchet set cost 8 less than its full price He paid a total of 56 What is the cost of each ratchet set at full price

Select the correct answer from each drop down menu Mr Montoya instructs the students in his math class to draw a rectangle with a certain area Catlynn draws a rectangle with a length of 18 centimeters and a width of 6 centimeters This proportional situation represents The constant of variation k is equal to If Sergio draws a rectangle with a length of 27 centimeters the width of the rectangle must be variation centimeters

The faster Suzie swims the quicker she The time speed W dependent Independent swimming race 46 depends on the speed time speed 4 an answer in each box as tank if you pay c dollars for g gallons of gas

Emma buys a gift basket online for 30 off the list price She has to pay 6 50 for shipping The total charge is 47 00 What is the list price of the gift basket Show your work using the Equation Editor tool

Type the correct answer in each box An industrial laser cuts steel plates that are 11 93 meters long The laser can have an error value of at most 0 02 meters The inequality x The range of acceptable lengths for the steel plates is VI can be used to find the range of acceptable lengths for the steel plates x 2222226

The width of a rectangle is 5t 5 5 feet and the length is 5 5t 8 feet Find the perimeter of the rectangle The perimeter of the rectangle is feet Simplify your answer Use integers or decimals for any numbers in the expression

Translate the sentence into an equation Four more than the product of a number and 8 is 5 Use the variable b for the unknown number 0 O 8 OXO 0 0

Rectangle ABCD translates 4 units down and 2 units to the right to form rectangle A B C D The vertices of rectangle ABCD are labeled in alphabetical order going clockwise around the figure If AB 3 units and AD 5 units what is the length of B C OA 11 units OB OC OD 9 units 3 units 5 units

Ashley drove to her father s house which was 164 miles away It took her 2 hours to get there After seeing her father for 2 hours she went to her cousin s house to stay overnight which was 125 miles from her father s house How many minutes does it take Ashley to get to her cousin s house if she drives at the same speed as when she traveled to her father s house Do not include units in your answer and round to the nearest hundredth For example if the answer is 19 546 minutes enter 19 55 Provide your answer below

A cylindrical tank contains water to a height of 2 m The tank measures 5 m high and 3 m in radius Find the work needed to pump all the water to a level 2 m above the rim of the tank The specific weight of water is 9810 N m Give the exact answer in function of

Points C D and G lie on plane X Points E and F lie on plane Y E D G X F B Y Which statements are true Select three options O There are exactly two planes that contain points A B and F O There is exactly one plane that contains points E F and B O The line that can be drawn through points C and G would lie in plane X The line that can be drawn through points E and F would lie in plane Y The only points that can lie on plane Y are points E and F

Elyds S Use the diagram below for questions 1 3 Name Date E Q 21 ft D IT Use the circle below for questions 4 and 5 Use the circle below for questions 8 10 S 52 R B 6 Find the diameter of a circle with an area of 226 98 square inches d 1 Which of the following is a tangent A PV B US C RT 2 Which of the following is a chord A PV B US C RT Bell 8 Find mED 3 Which of the following is an inscribed angle A ZPVU B ZUST C ZQUS D ZUSR 4 Find the circumference Round to the nearest hundredth 9 Find mEA Unit 10 Test Circles D PQ 5 Find the area Round to the nearest hundredth 10 Find mBDC D PQ C 1134 A 7 Find the circumference of a circle with an area of 530 93 square meters C mED mEA mBDC

Question Sue has of a bag of cherries Jim gives her another bag of cherries Now how many cherries does Sue have Give your answer as a simplified fraction not a mixed number Do not include units Provide your answer below

Blue Tide Swim Shop is having its annual summer sale when every item in the store gets marked down During the sale rashguards sell for 5 less than full price Miguel purchases rashguards and pays a total of 60 Which equation can you use to find how much money f each rashguard costs at full price 3f 5 60 5 f 3 60 5f 3 60 3 f 5 60 How much does each rashguard cost at full price

A swimming pool is in the shape of the following figure The homeowner wishes to create a canvas cover for the pool How many square feet of canvas would be required to cover the pool 14 ft 16 ft 17 ft

In a scale drawing of an airplane 1 Inch represents 4 feet Scale 1 in 4 ft Answer the following a In the scale drawing the length of the airplane is 9 inches What is the length of the real airplane feet b The wingspan of the real airplane is 40 feet What is the wingspan of the airplane in the scale drawing inches

f x ab in red g x c d in blue and h x pq in green graphed below where a b c d p q are constants For each statement below enter all of the possible constants letters a b c d p or q as a list of letters in any order without any separating commas For example a possible answer could be apdq which is equivalent to paqd or any other order of these four constants but a d p q would not be graded correctly because it includes commas a Which of these constants are definitely positive b Which of these constants are definitely greater than 1 c Which of these constants could possibly be between 0 and 1 d Which of these constants could possibly be greater than the value of c e Which two of these constants are definitely equal Click on graph to enlarge y f x a b x

4 For the information given find the values of x y and r Clearly indicate the quadrant of the terminal side of 0 then state the values of the six trigonometric Functions of 0 30points 3 a cos 0 and sin 0 0 7 b tan 0 2 and sin ASO

Use the information above to complete the missing values in the table below for 2 500 invested at 4 interest Question 2 Year 2020 2038 2074 O Less than 75 years Value of Investment 2 500 5 000 10 000 Questions 1 and 2 Some types of investments such as Certificates of Deposit earn interest based on a percentage rate People often estimate the doubling time of investments to predict how much money the investment will be worth in the future An investment that earns 4 interest will double in value about every 18 years 2 pts Which of the following is the best estimate for the amount of time it would take the investment to reach 100 000 Between 90 and 105 years

Two weather stations are aware of a thunderstorm located at point C The weather stations A and B are 34 miles apart 28 2 miles How far is weather station A from the storm 38 6 miles 21 59 9 miles A 53 B

An empty swimming pool needs to be filled to the top The pool is shaped like a cylinder with a diameter of 6 m and a depth of 1 5 m Suppose water is pumped into the pool at a rate of 12 m per hour How many hours will it take to fill the empty pool Use the value 3 14 for and round your answer to the nearest hour Do not round any intermediate computations

Marika is training for a track race She starts by sprinting 100 yards She gradually increases her distance adding 4 yards a day for 21 days Which explicit formula models this situation A an 21 n 1 4 OB an 100 n 1 4 C an 4 n 1 100 D an 100 n 1 21 www