Basic Math question and answers for July 01, 2024
- Q Leos total bill at the blue lobster came to $45.90. he wanted to leave a 20% tip. How much money would he need to pay in total?
- Q Seema deposited $800 in a saving account earning 2.05% compounded annually. To the nearest cent, how much will she have in 17 years? Do not include the dollar sign in...
- Q A certain company's main source of income is a mobile app.The company's annual profit (in millions of dollars) as a function of the app's price (in dollars) is modeled byP(x)...
- Q The population of Bloom Falls, Mass. (population 937) is slowly moving to a bigger city. Every year the population drops by 4.5%. What is the population after 3 years?894 people1,069...
- Q An electrician charges an hourly rate of $50, but also charges a fixed fee for making house calls regardless of time spend on the job. One day, the electrician earned...
- Q Find an expression which represents the difference when (10x-8y) is subtracted from (-4x-9y) in simplest terms.
- Q Simon has 160 meters of fencing to build a rectangular garden.The garden's area (in square meters) as a function of the garden's width 2 (in meters) is modeled byA(z) =...
- Q Ian is going to the amusement park, where he has to pay a set price of admission andanother price for tickets to go on each of the rides. The total...
- Q Tanya has a garden with a trench around it. The garden is a rectangle with length 2 1/2m and width 2 m. The trench and garden together make a rectangle...
- Q Suppose Solid X and Solid Y are similar. The volume of Solid X is 5145 cm, and the volumeof Solid Y is 10,935 cm. If Solid X has a height...
- Q One pipe can fill a swimming pool 2.8 times faster than a second pipe. If both pipes are open, the pool can be filled in 3 hours. Choose the equation...
- Q Use the even-odd properties of the trigonometric functions to find the exact value of the given expression. Do not use a calculator.cos (-60)Select the correct choice below and fill in...
- Q Starting at noon, Kennedy observed the amount of snow on her lawn during a blizzard. She wrote an equation to represent 8, how many inches of snow were o lawn:...
- Q If two triangles have the same area, what additional information is needed to show that they are congruent?One triangle's altitude is congruent to the other triangle's altitude.The triangles are both...
- Q Sebastian signed up for a streaming music service where there's a fixed cost for monthly membership and a cost per song downloaded. His total cost per month is given by...
- Q 49. Validate the biconditional statement.A game can be classified as a card game if and only if it is played with a deck of cards.The biconditional statement is false because...
- Q Joseph is in the business of manufacturing phones. He must pay a daily fixed cost of $1000 to rent the building and equipment, and also pays a cost of $50...
- Q A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between them is 165. To the nearest tenth, what is the...
- Q The quadratic y = (x - 3)(x + 5) is horizontally translated left by 4 units. Which of the following givesthe equation of the transformed quadratic?(A) y = (x-7)(x +...
- Q The population of Dublin, Ohio, in 2013 was 43,607 people. The area of theCity of Dublin in 2013 was 24.79 square miles. Find the population density ofDublin in 2013 rounded...
- Q Residents of Valentine, a small city in Nebraska, meet for a citycouncil meeting once a week. Meetings are supposed to last no morethan 3 hours. However, many residents are complaining...
- Q The number of astronomy papers published increases by 5% every year. If 27,000 astronomy papers were published in a particular year, how many will be published 2 years later?
- Q At the gym, Diana always spends more minutes running than lifting weights.Part AWhich equations describe the relationship between the number of minutes Diana runs, r, and the number of minutes...
- Q On a spelling test. Michelle spelled 17 words correctly. There were 20 words on the test. What percent of the words did she spell correctly.
- Q Caleb was given a gift card for a coffee shop. Each morning, Caleb uses the card to buy one cup of coffee. The original amount of money on the gift...
- Q A basketball player has a free throw percentage of 0.75. In the first half of a game, he made 12 attempts. How can a spinner be created to simulate data...
- Q What can the unit fraction 1 meter/3 feet be used for?To convert 25 inches to meters.To convert 15 meters to inches.To convert 5 meters to centimeters.This cannot be used to...
- Q Owen's math teacher finds that there's roughly a linear relationship between theamount of time students spend on their homework and their weekly quiz scores. Thisrelationship can be represented by the...
- Q 16. If one student can complete the decoration for the prom in five days working alone, another student can do it in three days, and a third can do it...
- Q The path of a marble rolling off of a desk can be modeled by the parametric equations: x(t)=2.5t y(t)=-16t^2+3 In these equations, the horizontal and vertical positions of the marble...
- Q Write the negation of the conditional statement.If she can't take out the trash, then I will.If she can take out the trash, then I can't.She can't take out the trash,...
- Q The population of Columbus, Ohio, in 2013 was 822,553 people. The area of the City ofColumbus in 2013 was 223.1 square miles. Find the population density of Columbus in2013 rounded...
- Q For the example below, prorate the given expenses to find the monthly cost.Sara pays $5300 for tuition and fees for each of the two semesters, plus an additional $320 for...
- Q Suppose it takes a force of 42 N to hold a spring that has been stretchedfrom its natural length of 15 cm to a length of 18 cm.How much work...
- Q Emma is driving on a long road trip. She wrote an equation to represent how manygallons of gas she has left in her tank, g = 14.5-0.45h, where g represents...
- Q The value of a painting can be predicted by the expression 120(1.08)t, where t is the .number of years since 2014.What does the value 120 represent?A. the predicted value of...
- Q A park ranger measures the change in height of all trees of a similar species and age over a month. Halfthe trees are within a quarter of a mile from...
- Q A company manufactures electronic pedometers. One out of 60 pedometers Is faulty, but the company cannot pinpoint the faulty ones until a consumer complains. Say that the company makes a...
- Q When the function f(x) is divided by 32 - 5, the quotient is 2x + 7x + 3 and the remainder is -3. Find the function f(x) and write the...
- Q ATM passwords at a local bank consists of four digits. Paula remembers the first two digits of her password, but forgot the last two. What is the probably that Paula...
- Q Julia just lit a new candle and then let it burn all the way down to nothing. The candle burned at a rate of 0.75 inches per hour and its...
- Q The number of users on a social networking site was 45 thousand in February when they officially went public and grew to 60 thousand by October. If the site is...
- Q Ana dives into a pool off of a springboard high dive.Her height (in meters above the water), a seconds after diving, is modeled byh(x) = -5(x + 1)(x ? 3)How...
- Q By completing the square, the expression x + 12x + 87 equals (x + A) + Bwhere A =and B =
- Q A dance company charges $300 for a package of 20 dance lessons. Research shows that 20 percent of people attend all the lessons. The rest miss an average of 12...
- Q Squirrels are running wild on the campus, so Building and Grounds decides to tag 100 of them. In the spring, 50 squirrels are caught and 5 of them are tagged....
- Q In filing his income tax, Raul reported annual contributions of $300 to a public radio station, $180 to a public TV station, $200 to a local food bank, and $300...
- Q Enter values in the t-table for the piecwise function that is shown on the graph. Make sure that you are using the correct equation based for the x-value.
- Q Because of the increasingly important role played by coal as a viable alternative energy source, the production of coal has been growing at the rate of3.5e^0.05tbillion metric tons/year, t years...
- Q Suppose you invest $1,000 in an account paying 7% compounded annually. Assuming no other deposits or withdrawals, how many years would it take for the amount in the account to...
- Q Amanda needs to buy some pencils. Brand A has a pack of 36 pencils for $8.52. Brand B has a pack of 48 pencils for $9.98. Find the unit price...
- Q If the distance between the points (-5, ? 3) and (x, 45) is 50 then the possible values for x are:List all possible values, separated by commas.
- Q Find the work done by a force F = 8i - 6j + 8k that moves an object from the point (0, 9, 9) to the point (7, 11, 19)...
- Q Abby gets a job at a dress store that pays a salary of $90 per week plus $5 for each dress she sells..a.) Write an equation to model this scenario....
- Q Suppose that out of 100,000 male high school baseball players, only one-half percent make it to the Major Leagues.Find the expected number of male high school baseball players who make...
- Q In physics, work is defined as F D where F is the force applied over a distance of D.A box is dragged across 20 meters with a force of 60...
- Q Consider the Quadratic function f(x) = 2x - 9x - 35.Its vertex is ___, ____; its largest x-intercept is = _____, its y-intercept is y = ____
- Q Consider the Quadratic function f(x) = 3x-14x -24.Its vertex isits largest x-intercept is a =its y-intercept is y =
- Q An economist wondered if people who go to the movies on weekdays go more or less often on Fridays than any other day. She figured that if it were truly...
- Q A couple purchases a home with a $320,000 mortgage at 4% for 30 years with monthly payments. What will the remaining balance on their mortgage be after 10 years?$1527.73$252,108.84$213,333.33$221,866.67Can't be...
- Q Flight FL190 had 120 passenger seats, but 30% of these seats were empty.Therefore, passenger seats were occupied on the flight.430367084
- Q Find all real solutions of equation 3x + 6x - 5 = 0.Does the equation have real solutions? Input Yes or No:If your answer is Yes, input the solutions:
- Q Tiffany wants to calculate the volume of her globe. The globe is in the shape of a sphere, as represented in the picture.She measured the circumference of the globe along...
- Q Graph y = |x-2|-3.[Hint: what is the vertex? How do you the vertex to plotthe remaining points?]
- Q A jet ski is travelling 75 degrees North of East at a constant speed of 43 miles per hour. The water is moving at a rate of 12 miles per...
- Q A radioactive isotope is decaying at a rate of 18% every hour. Currently there are 100 grams of the substance.Part C: When will there be 10 grams left? Justify your...
- Q A rectangle has vertices (-1, 1), (-4, 1), (?1, 3), and (-4, 3). If the rectangle is reflected over the y-axis, what algebraic rule can be used to find each...
- Q Lucia finds that (3x+3x+5)+ (7x?9x+8) 10x?12x+13. What error did Lucia make?She found the difference instead of the sum.She combined the terms 3x and 7x incorrectly.She combined the terms 3x and...
- Q What is the length of the the midsegment of a trapezoid with bases of length 13 and 29?
- Q 70% of the voters favor Ms. Stein. If 300 voters are chosen at random, what is the expected number of voters who indicate favoring Ms. Stein?
- Q At your high school, you are trying to determine the probability that a student takes Spanish given that the student is taking Marketing? How would you determine this probability? Explain...
- Q When looking at the association between the events "owns a car" and "owns a pet," if the events are independent, then the probability P(owns a pet | owns a car)...
- Q Justin is pouring a concrete walkway around his grandmother's rectangular garden. He wants the walkway to be 3 feet wide all the way around. If his grandmother's garden is 25...
- Q Marle Spector is the star basketball player on the University of Florida's women's basketball team. Marle has sprained her ankle and the team doctor estimates that there is a 50%...
- Q A machinist creates a solid steel part for a wind turbine. The part has a volume of 1,015 cubic centimeters. Steel can be purchased for $0.29 per kilogram and has...
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