Basic Math Questions and Answers

mine the area of the triangle The figure is not drawn to scale of the unknown side is 17 yd number oter of the triangle is e number

Wallin has just purchased a new house that is in need of new flooring The cost of Pergo Select Helsinki Birch laminate flooring is 5 87 per foot if Nancy installs the flooring herself or 9 87 per square foot if she has the flooring installed by the flooring company Use the ements given on the floor plans of Nancy s house to determine the cost for the flooring in the living dining room if cy installs it herself y has it installed by the flooring company cy installs it herself the cost for flooring is KETE 30 Bath 5x9 Kitchen 15 14 Bedroom 10x14 Stairs

was just purchased a new house that is in need of new flooring Use the measurements the floor plans to the right to answer the following question The cost of carpeting is or square foot This price includes the cost of installation Determine the cost for Nancy to scarpeting installed in all three bedrooms NIDO for installing carpet in all three bedrooms is 29 Laundry 29 20 Bath S x12 Bedroom 13x20 Bedroom 10x14 Bath 6x14 Bedroom 10x14 Kitchen 14x14 Second floor 40 Stain Stairs Living 24

he were to walk around the outside edge of the basketball court how far would he walk he had to place floor tiles that each measured 1 foot by 1 foot on the basketball court how many tiles would hi he were to walk around the outside edge of the basketball court how far would he walk would walk feet

length of the unknown side is 40 km whole number perimeter of the triangle is 90 km whole number area of the triangle is CETES km

area of the triangle The figure is not drawn to scale length of the unknown side is 40 km a whole number perimeter of the triangle is a whole number CEITE the triangle and c determine 9 km 41 km

the circle is 907 92 cm ger or decimal rounded to the nearest hundredth as needed ference of the circle is

of the triangle The figure is not drawn to scale th of the unknown side is le number hown side of the triangle b determine the perimeter of the triangle and c determine BETTE 9 km B

e area of the circle is an integer or decimal rounded to the nearest hundredth as needed STES

a Fill in the blank The sum of the lengths of the sides of a two dimensional figure is called the perimeter b Fill in the blank The region within the boundaries of a two dimensional figure is called the

me area of the quadrilateral is 24 me perimeter of the quadrilateral is sin

onsider the following equation Step 3 of 3 Plot the point on the line with the x coordinate x 8 Answer 3x 4y 4 0 slope intercept form Points can be moved by dragging or using the arrow keys Any lines or curves will be drawn once all required points are plotted and will update whenever a point is moved 5 Enable Zoom Pan Keypad Keyboard Shortcuts K

area of the quadrilateral is 6

pletes the sentence below In a right triangle the side that is opposite the right angle is called the

Find the equation of the line in standard form that passes through the following points Simplify your answer 9 10 and 9 2

Consider the following equation Step 1 of 2 Find the x and y intercepts if possible Answer 6y 2x 12 Selecting a button will replace the entered answer value s with the button value If the button is not selected the entered answer is used x intercept y intercept absent Dabsent

Ratios 3 ft 1 yd 32 5 laps 1 As part of an annual fundraiser to help raise money for diabetes research Heather joined a bikeathon The track she biked on was 1408 yd long Heather biked 32 5 laps Her sponsors agreed to donate an amount of money for each mile she biked How many miles did she bike First fill in the blanks on the left side of the equation using three of the ratios shown Then write your answer on the right side of the equation X 1 yd 3 ft 5280 1408 yd 1 lap 1 lap 1408 yd 5280 1 5280 ft 1 mi 1 mi 5280 ft 1408 1 21 45760 22 miles ft clo X yd 23 in 24 mi Espan 25 D BE

13 14 15 16 Melissa invested 3000 in a fund for 2 years and was paid simple interest The total interest that she received on the investment was 120 As a percentage what was the annual interest rate of her investment If necessary refer to the list of financial formulas X 3

3666mpanying bar graph shows the resident population and the land area of a particular country for selected years from 1800 through 2000 Use the information to find the population density of a certain country for the year 1900 to the nearest tenth expressed in people per square kilometer Click here to view the bar graph The population density in 1900 was approximately Round to the nearest tenth as needed Bar Graph and Data Resident p 100 50 Year 1800 1900 1800 1900 1940 Year Population 5 308 483 71 408 587 1 in 1 yd2 1980 6 5 cm 0 09 m 0 8 m 2000 Land Area square miles 864 746 2 895 118 1 0

Prove FG 140 2 Given FROG FG 15 25 3 1 4 5 6 7 8 2x 6 F Statement FROG FG 152 25 FR RO OG FG 33 3x 8 3x 25 2 11 R FG 15x25 82 4 2x 6 8x 4 2x 6 15x 25 Substitution 12x 8 15x 25 O Reason Given G Combine like terms Division Property of Equality Given T Substitution Segment Addition Postulate Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality X 47

1 Find the distance between A and B 6 S AB T M A 2 d 644 th 321 3 2 C1 1 506 3 16 N B 4 5 6 7 8 x Round your answer to the nearest hundredth

A physician orders 7 teaspoons daily of a certain drug in four equally divided doses Refer to the appropriate entries in the table of English and Metric Equivalents for Capacity to convert given units to the unit indicated Complete parts a through d Click to check the table of English and Metric Equivalents for Capacity SIXE a How many milliliters of the drug should be administered daily Round to two decimal places as needed b How many cc of the drug should be administered daily Round to two decimal places as needed c How many fluid ounces of the drug should be administered daily Round to two decimal places as needed d How many fluid ounces of the drug should the patient receive in each divided dose Round to two decimal places as needed English and Metric Equivalents for Ca English and Metric Equivalents for Cap 1 teaspoon tsp 5 milliliters mL 15 milliliters mL 1 tablespoon tbsp 1 fluid ounce fl oz 1 cup c 1 pint pt 1 quart qt 30 milliliters ml 0 24 liter L 0 47 liter L 0 95 liter L 3 8 liters L 1 gallon gal Hint 1 cc 1 cm 1 mL

Convert the given unit of weight to the unit indicated 17 2 kg to g

olve the following exponential equation using the common base method 8 4 x 6

4 a Are G and H graphs isomorphic Please explain with reasons 10 pts C Answer D G G graph S H graph b Is H graph planer Please explain with reasons 5 pts Answer c Find the chromatic number of H graph 5 pts Answer

Upper and lower bounds Find the upper and lower bounds of these numbers given that they have been rounded to the degree of accuracy shown 65 17 7 9200 40000 7 21 Level of accuracy Nearest whole number 1 d p Nearest 100 1 s f 2 d p Lower bound Upper bound 00000

a and b have been rounded to 2 d p a 4 04 b 7 15 Work out the smallest possible answer for a b a b 2 3 d p 2 Work out the biggest possible answer for b a 2

Beginning Balance 1200 19 Jul ACH Outgoing Transfer 720 20 Jul Incoming App Transfer 2000 23 Jul ACH Incoming Transfer 25 112 24 Jul E bill Pay Utilities A 3833 00 B 4057 00 C 1193 00 D 2393 00 What is the ending balance on this account after these transfers are completed

6 Find Maclaurin series for F x te dt and use it to evaluate F 1 to an accuracy of 3 decimal places Note 6 720 7 5040

Let f x y and h x differ an tiable functions are given such that f f x y dy h x and h x dx 12 According to the below graph if A 2 A 2A 3A represents the area of the given regions what is the result of the integral f x y dx dy hod LAHT 2A 1A 21 4 25 2 3 C 18 DJ E 20

9 15 Usco antiderivatives a x 1 x dx 2023x b Je dx c sinr cos x dx TUGS USHIG22 TUGS USHIG22

It takes 15 minutes for a cup of coffee at 130 F to cool to 100 F in a 70 F room The function T that describes the amount the coffee cools after t minutes can be modeled by T t Ts To T e kt where T t represents the Temperature of the coffee in degrees Fahrenheit t represents the number of minutes after the coffee is poured and set to rest T represents the surrounding temperature in degrees Fahrenheit To represents the initial temperature of the coffee as it is poured and set to rest and k represents a constant A What is the total amount of time needed for a 130 F cup of coffee poured and set to rest to reach 80 F in a 70 F room B Over time to what temperature does the coffee cool Explain your reasoning 7 S

11 Question 11 of 35 1 point Question Attempt 1 of 1 2 Unit Here are some facts about units of volume fluid ounce cup pint quart gallon Fill in the blanks P3 72 fl oz x 0c Symbol 11 oz K 4 gt Fact 1c 800x 1pt 2c 1gt 2pt 1 gal 4 gt 75 46

Final Exam Question 13 of 36 1 point Question Attempt 1 of 1 2 3 4 5 6 7 a Find the volume of water that the tank holids in cubic inches Use the table of conversion facts as needed b The particular species Deshaun plans to raise requires at least 1850 in of water per fish If there is any amount less than this no matter how much less the pet store will not accept Deshaun s fish What is the largest whole number of fish that he can keep in the aquarium 10 c The pet store will pay 3 49 for sach fish If he fully populates his aquarium and sells all the fish how much money will he collect 1 Deshaun has a new aquarium The tank is in the shape of a rectangular prism 7 ft long 3 ft wide and 4 fi deep He plans to raise fish and sell them to a local pet store The pet store will inspect the aquarium to make sure that the fish are being kept in a healthful environment One of the main concerns is that each fish has enough water Deshaun looks up the amount of water needed for the species of fish he plans to raise He finds the answer but it is given in cubic inches 11 Conversion facts for length 12 inches in 1 foot 1 I yard d I yard 36 inches in 12 13 A Submit Ass

1 2 grams 4 5 7 8 10 11 12 13 The half life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass Starting with 130 grams of a radioactive isotope how much will be left after 6 half lives Use the calculator provided and round your answer to the nearest gram

K 11 12 13 14 15 16 17 18 19 20 21 22 Rachel invested 800 in a fund for 2 years and was paid simple interest The total interest that she received on the investment was 80 As a percentage was the annual interest rate of her investment If necessary refer to the list of financial formulas

1 2 The next model of a sports car will cost 13 9 less than the current model The current model costs 46 000 How much will the price decrease in dollars What will be the price of the next model Decrease in price Price of next model X 0

1 2 a Write 0 027 as a percentage b Write 5 34 as a decimal a 0 027 3 b 5 34 4 X 5 6

Question 2 of 38 1 point 3 7 There are 13 apples in a basket 5 of these apples are green The rest of them are red a What is the ratio of all apples in the basket to red apples 0 b What is the ratio of red apples to green apples 0 8 0 0 X 9

1 2 3 4 Round 1 4 to the nearest whole number X 5 5

The label on a bottle of medicine reads Each 5 mL teaspoonful contains glucose 1 87 g levulose 1 87 g and phosphoric acid 21 2 mg a Find the amount of phosphoric acid in the recommended dosage of two teaspoons b If the bottle contains 3 ounces find the quantity of phosphoric acid in the bottle 1 oz s 30 mL 1 tsp s 5 mL a There are mg of phosphoric acid in two teaspoons Simplify your answer Type an integer or a decimal

A triangle is made such that the hypotenuse is 25 cm and one of the shorter sides is 5 cm longer than the other Find the dimensions of the triangle

5 A SJHS student swam 56m with the current and 48m against the current in the same length of time What is the swimmer s speed in still water if the current is 4km h 313x 15 10 T

B Give the characterizing property of the following sets i C 7 9 11 13 14 19 ii D 7 11 13 17 19 23

1 A List the elements of each of the following sets i A x x is a perfect square and 0 x 30 ii B x x is an integer and 1 x 5

2 Given the following two polynomials P x 4x 12 and P 3x 6 Carm out the following operations a P P2 P P2 2P1 P x P2 and P P divide using algebraic long division method b Factorization of P and P2 c Simplification of using factorization done in b P 120 Marksl

Give the common difference of the sequence 10 9 8 7 Note the three dotes mean the sequence of numbers does not end at the value 7 it keeps on going to infinity Answer Question 12 Not yet answered Marked out of 10 00 The closed formula for the partial sum 1 2 3 4 n is O a n n 1 2 O b n n 1 3 O c n n 1 3

The expression x a means that we have x as a base and a as an exponent Simplifying 2x 3 2x 3 we have Answer

Metric Equivalents for Capacity along with dimensional analysis to convert the given unit to the unit indicated 13 mL to tsp Click to check the table of English and Metric Equivalents for Capacity 3 mL tsp Round to two decimal places as needed English and Metric Equivalents for Cap English and Metric Equivalents for Capacit 1 teaspoon tsp 5 milliliters mL 15 milliliters mL 30 milliliters ml 1 tablespoon tbsp 1 fluid ounce fl oz

The average rainfall amounts for two of the world s wettest places are given average rainfall and by how many inches Round to the nearest inch Lloro Colombia 13 300 millimeters and Cherrapunji India 464 inches Click the icon to view a table of English and Metric Equivalents The average rainfall is greater in Data table The average rainfall is greater by approximately English and Metric Equivalents 1 in 2 54 cm 1 ft 30 48 cm inches X