Mathematical Reasoning Questions and Answers

Kasey sold 5 times as many raffle tickets as Rae. If Kasey sold 45 tickets in all, which equation can be used to find a, the number of tickets Rae Sold? 45a = 5 45+ a = 5 5a=45 5+a=45

Riley buys ice cream and oranges at the store. She pays a total of $37.15. She pays a total of $3.62 for the ice cream. She buys 7 bags of oranges that each cost the same amount. How much does each bag of oranges cost?

Write the converse, inverse, and contrapositive of the statement below. If the band does not play rock music, then the band has a guitarist. Choose the correct converse. A. The band plays rock music or the band has a guitarist. B. If the band has a guitarist, then the band does not play rock music.C. If the band does not have a guitarist, then the band plays rock music. D. If the band plays rock music, then the band does not have a guitarist. Choose the correct inverse. A. If the band does not have a guitarist, then the band plays rock music. B. If the band plays rock music, then the band does not have a guitarist. C. The band plays rock music or the band has a guitarist. D. If the band has a guitarist, then the band does not play rock music. Choose the correct contrapositive. A. If the band has a guitarist, then the band does not play rock music. B. If the band does not have a guitarist, then the band plays rock music. C. The band plays rock music or the band has a guitarist. D. If the band plays rock music, then the band does not have a guitarist.

The Jones family took a 24 mile canoe ride down the Indian river in two hours. After lunch the return trip back up the river took three hours. Find the rate of the canoe in still water and the rate of the current. Rate of the canoe in still water: mph help (numbers) Rate of the current: mph help (numbers)

Let p and q represent the following statements. p: Brad Pitt is governor. q: Paris is not the capital of Arkansas. Express the following statement symbolically. Paris is the capital of Arkansas.

Which verb agrees with the subject of the sentence? Between the pages of a book, cozy beneath the calm blankets of gray, gently another quiet, rainy day. A. depart B. end C. passes

Which is the best way to combine the following sentences using an adjective clause? Ms. Salech's cat was brown and black. It was feared by all the children. A. Ms. Salech's cat which was feared by all the children was brown and black. B. Ms. Salech's cat was brown and black which was feared by all the children. C. Ms. Salech's cat, which was feared by all the children, was brown and black.

Which sentence below uses an incorrect homophone? A. Many sailors take their boats out to the sea. B. I sea you staring at me. C. I like to see the sunset before I go to bed each night. D. Pirates sailed on the sea for months at a time.

Which is the best way to combine the sentences below using a participle phrase? Michelle looked diligently for the letter. She was filled with a longing to find the lost letter. A. Michelle looked as long as she could to find the lost letter. B. Looking diligently was all Michelle could do to find the lost letter. C. Longing to find the lost letter, Michelle looked diligently for it.

Jill is a salesperson who needs to visit towns A, B, and C. On the map below, AB = 18.7 km and BC = 2AB. Assume Jill travels along the road shown. a. Find the distance Jill travels if she starts at Town A, visits Towns B and C, and then returns to Town A.

Yeats uses what imagery in lines 2-4 of He Wishes for the Cloths of Heaven"? A. Yeats uses light/dark imagery -- "silver light," "dim and dark," "night and light," "half-light." B. Yeats uses imagery that appeals to the sense of touch -- "cloths." C. Yeats uses imagery that appeals to the sense of hearing -- "blue and the dim and the dark cloths." D. Yeats uses a simile -- the cloths of heaven are like his dreams.

What does the following dialogue reveal? 1- "My aunt will be down presently, Mr. Nuttel," said a very self-possessed young lady of fifteen; "in the meantime you must try and put up with me." A. a character's personality B. events from the past C. a prediction of the future

What is the rhyme scheme of the second stanza of Robert Frost's poem? A. abcd B. abab C. baab D. abba

Dakota writes the following as an example of using the Law of Detachment. What is her error? If my favorite team wins more than 55 games, they win the championship. My team won the championship, so they won more than 55 games.

Color your age green Add 5 more to that number. What number are you on now? Color how many years you've been at this school blue. Add 10 to that number. What number are you on now? Color the first number of your street address purple. Add 6 to that number. What number are you on now? Is it odd or even? Color how many people you have in your family. that live with you Subtract 1 What number are you on now? Add 15 to that answer, now what number? Color your room number yellow. Add 20 to that. What number are you on now? Color the number 120 red Subtract how many pets you have from that (if any) What number are you on now?

Enter the fractions and decimals in order from least to greatest. The fractions and decimals in order from least to greatest are

Translate the argument into symbolic form. Then determine whether the argument is valid or invalid. You standard valid or invalid form. Mike got sick, or we need an extra hand. Today we do not need an extra hand. Today Mike got sick. Click the icon to view tables of standard valid and invalid forms of arguments. Let p represent "Today Mike got sick.," and let q represent "Today we need an extra hand." Select the correct choice below and fill in the answer box with the symbolic form of the argument. (Type the terms of your expression in the same order as they appear in the original expression.) A. The argument is valid. In symbolic form the argument is B. The argument is invalid. In symbolic form the argument is

Given that the intercepts of a graph are (-4,0) and (0,6), choose the statement that is true. Select the correct choice below. A. The y-intercept is -4, and the x-intercept is 6. B. The x-intercept is -4, and the y-intercept is 6. C. The x-intercepts are -4 and 6. D. The y-intercepts are -4 and 6.

Let p be the statement "she wears perfume," and q be the statement "she will find a boyfriend." A. The argument is valid. In symbolic form, the argument is B. The argument is invalid. In symbolic form, the argument is

In a photo album, there are 80 pictures. Each picture is in the shape of a square, a rectangle, or a circle. There are 12 times as many rectangles as circles. There are 10 more squares than circles. How many of each type of picture is in the photo album?

The position of an object moving along a line is given by the function s(t)= -9t² +90t. Find the average velocity of the object over the following intervals. (a) The average velocity of the object over the interval [1, 5] is 36 (b) The average velocity of the object over the interval [1,4] is 45. (c) The average velocity of the object over the interval [1, 3] is 54. (d) The average velocity of the object over the interval [1, 1+h] is

Suzette and Margo want to prepare crêpes for all of the students in their French class. A recipe makes 20 crêpes with a certain amount of flour, milk, and 2 eggs. The girls already know that they have plenty of flour and milk to make 50 crêpes, but they need to determine the number of eggs they will need for the recipe because they are not sure they have enough. Considering the amount of eggs necessary to make the crêpes, what is the constant of proportionality? What does the constant or proportionality mean in the context of this problem? How many eggs are needed to make 50 crêpes?

Two different telephone carriers offer the following plans that a person is considering. Company A has a monthly fee of $20 and changes of $0.05/min for calls. Company B has a monthly fee of $5 and charges $0.10/min for calls. Which company is a better deal if you talk on the phone 2 hours a month? Which company is a better deal if you talk on the phone 10 hours a month?

At the band's peak of popularity, a signed Black Diamond poster sold for $500. Three years later, the band was almost forgotten, and the poster was worth only $10. a. What is the annual rate of depreciation for the poster? b. Write a function that will allow you to calculate how much the poster is worth after x years. State the meaning of each part of the equation in the context of the problem.

What does Cheever do when he finds Elizabeth Proctor in possession of a doll with a needle in it? A. He accuses her of stealing the doll from Abigail. B. He arrests her on the charge of witchcraft. C. He asks her where the doll came from. D. He tells her to burn the doll immediately.

The cost of a large flat-screen television is decreasing 20% per year. a. If a 50-inch flat-screen now costs $1200, what will it cost in three years? b. Using the same rate, what did it cost two years ago? c. Write the equation of a function to model this situation.

Nicole Burley purchases 6 quarts of motor oil at $1.79 per quart, 8 spark plugs at 4 for $7.99, 2 wiper blades at $13.99 each, 4 packs of polishing rags at 2 for $3.99, a can of polish for $7.55, and an oil filter for $5.99 in Cleveland, Ohio, where the sales tax rate is 7.5%.

Jotham needs 5 liters of a 40% alcohol solution. He has a 10% and a 60% solution available. How many liters of the 10% and how many liters of the 60% solutions should he mix to make the 40% solution?

Ralph Chang purchases a scanner for $85.85, 12 boxes of toner at $14.55 each, 24 ballpoint pens at $1.14 each, 2 boxes of memo pads at $4.19 a box, 12 report covers at $2.89 each, and an extension cord for $25.95 at Ned's Office Store in Los Angeles. The sales tax rate is 8.25%.

Individuals have a stronger voice in public policy when they A. limit their political activity to voting in presidential elections B. participate actively in interest groups or political parties C. spend great amounts of time studying news and data D. write criticisms of officials on social networking sites

Mrs. Jones is handing out candy to trick-or- treaters. She gives out candy bars to kids in costume and small packages of gummies to kids without a costume. The candy bars cost $0.80, and the gummies cost $0.25. At the end of the night, 100 children visited Mrs. Jones's home, and she gave out $69.00 in candy. How many children who visited Mrs. Jones's home were wearing a costume? F. 20 G. 50 H. 69 J. 80 K. 92

A restaurant sells burgers and fries. If two burgers and one order of fries cost $5.10, and one burger and two orders of fries cost $4.80, how much is one burger and one order of fries? A. $3.00 B. $3.30 C. $3.60 D. $4.00 E. $4.95

Solve for w. |6w-18|=-6 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

In Example 3, you determined 17 1-ton bags of mulch were needed to cover the playground. The company's delivery truck can at most 8000 pounds. One bag of rubber mulch costs $375. There is a $45 delivery charge for each trip the truck makes. What is the total cost for purchasing and delivering the bags of rubber mulch needed for the playground?

What technology format could be used to generate nine random numbers between 1 and 850? Choose the correct answer below. A. RandInt(nine, 1,850) OB. RandInt(9,850) C. RandInt(1,850,9) OD. RandInt(1,850) ....

The miles per gallon rating for 30 cars are shown below (lowest to highest). Construct a Stem-and-Leaf plot of the data. 19, 19, 19, 20, 21, 21, 25, 25, 25, 26, 26, 28, 29, 31, 31, 32, 32, 33, 34, 35, 36, 37, 37, 38, 38, 38, 38, 41, 43, 43

An internet provider charges a $150 set-up fee and a $50 monthly fee. Find the cost C(t) of having a contract with this provider for t months. If a person has paid $850 to the internet provider, how many months has he had a contract with them? Find the cost C(t) of having a contract with this provider for t months. C(t)= (Simplify your answer.)

A survey of 240 10th grade students in a local High School found that there were 140 girls and 100 boys in the grade. Of the 140 girls, 100 preferred gym class while 40 preferred art class. Of the 100 boys, 40 preferred gym class while 60 preferred art class. Construct a data table for this data and answer this question: Out of the entire survey, what is the probability of choosing a girl?

The table shows the items listed in order from least price to greatest price. How does organizing the information this way relate to the graph in Analyze It? Where would an item with a price of $34.50 be in the table?

spin balance machine rotates a 25-inch-diameter tire 480 revolutions per minute. A computerized A) Find the road speed in miles-per-hour (mph) at which the tire is being balanced (1 mile = 5280 feet).

Select the three adjectives. Don't select any articles (a, an, or the). Venus rotates in the opposite direction of the other seven planets; thus, on Venus the sun rises in the west and sets in the east.

Select the three prepositional phrases. Spanning 17,098,242 square kilometers of land and water, Russia is the largest nation on earth, followed by Canada, the United States, China, and Brazil.

Write the following rate as a unit rate. 68 miles to 4 hours

Write the following rate as a unit rate. 50 miles to 2 hours miles per hour

Two pipes can fill a tank in 60 minutes if both are turned on. If only one is used, it would take 58 minutes longer for the smaller pipe to fill the tank than the larger pipe. How long will it take for the smaller pipe to fill the tank? (Round your answer to the nearest tenth.)

Lionfish are considered an invasive species, with an annual growth rate of 65%. A scientist estimates there are 7,000 lionfish in a certain bay after the first year. Part A: Write the explicit equation for f (n) that represents the number of lionfish in the bay after n years. Show all necessary math work. (4 points) Part B: How many lionfish will be in the bay after 6 years? Round to the nearest whole number and show all necessary math work. (3 points) Part C: If scientists remove 1,300 fish per year from the bay after the first year, what is the recursive equation for f (n)? Show all necessary math work. (3 points) X54 CS E = 95 Source

Maggie is having the flooring replaced in her kitchen, living room, and master bedroom. The kitchen is getting slate tile. The tile cost $1.73 per-square-foot plus an installation fee per-square-foot. The area of the kitchen is 120 square feet, and the total cost for the flooring with installation comes to $740.40. The living room is getting hand-scraped hardwood flooring. The hardwood cost $4.98 per-square-foot plus an installation fee per-square-foot. The area of the living room is 200 square feet, and the total cost for the flooring with installation comes to $1,688.00. The master bedroom is getting berber carpet. The carpet cost $2.48 per-square-foot plus an installation fee per-square-foot. The area of the master bedroom is 180 square feet, and the total cost for the flooring with installation comes to $928.80. Place the flooring type in order from the least to greatest installation fee per-square-foot.

A farmer has a field of 70 acres in which he plants potatoes and corn. The seed for potatoes costs $20/acre, the seed for corn costs $60/acre, and the farmer has set aside $3000 to spend on seed. The profit per acre of potatoes is $150 and the profit for corn is $50 an acre. How many acres of each should the farmer plant?

A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted price of $1.25 per slice of pizza. Tristan purchased a membership to this pizza shop. How much would Tristan have to pay the pizza shop if he bought 9 slices of pizza this month? What would be the monthly cost for a slices of pizza?

During a one-month promotional campaign, Fran's Flix gave either a free DVD rental or a 12-serving box of microwave popcorn to new members. It cost the store $1 for each free rental and $2 for each box of popcorn. In all, 34 new members were signed up and the store's cost for the incentives was $61. How many of each incentive were given away? There were There were free rentals given away to new members. boxes of popcorn given away to new members.