Basic Math Questions and Answers

Solve for the roots in simplest form using the quadratic formula: 3x² + 144 = 42x

Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Lou's car had 6.5 gallons in the 14-gallon tank on the coldest day of the year. Lou filled the tank with gas that cost $3.50 per gallon. How much did Lou spend on gas? He spent $ on gas.

Adysen built a porch that contained 2 different colors of bricks to create a neat pattern. She purchased red bricks at $2 each and the grey bricks for $3 each. Write a system of equations that could be used to find the number of each type of brick Adysen purchased if she spent $160 on 60 bricks.

A city has a population of 340,000 people. Suppose that each year the population grows by 6%. What will the population be after 8 years? Use the calculator provided and round your answer to the nearest whole number. people

Combine the like terms to create an equivalent expression: 5k + (-2k) - (-1) 3k-1 + . NIS

Sylvia correctly solved a rational equation and found the valid solutions were x = 2 and x = -5. Which of the following could be the equation? OA. ¹ OB. 1 2 OC. 5+9 OD. 2₁ I = - - C-E 3 2 *+ *

Lee Holmes deposited $16,900 in a new savings account at 8% interest compounded semiannually. At the beginning of year 4, Lee deposits an additional $41,900 at 8% interest compounded semiannually. At the end of 6 years, what is the balance in Lee's account? (Use the Table provided.) (Do not round intermediate calculations. Round your answer to the nearest cent.)

Lamar buys a cylindrical can of silly string and wants to know approximately how much silly string he has. Find the volume of the can if the radius is 5.0 in and the height is 8 in. . Round answers to the nearest hundredth, if necessary. O 251.32 in ³ O 429.81 in ³ O 628.32 in ³ O 806.74 in ³

William just got hired for a new job and will make $78, 000 in his first year. William was told that he can expect to get raises of $3,000 every year going forward. How much money in salary would William make in his 29th year. working at this job?

Solve the quadratic by factoring. 2z²+4= -5z+1

Solve the quadratic by factoring. x²-12x+21= -6

The sides of a rhombus have length 12 ft. The longer diagonal has length 18 ft. Find the area of the rhombus. . Write your answer as a number only. . Round answer to the nearest tenth (one decimal place) if needed.

When 24 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

McDonald's major distribution partner, The Martin-Brower Company, needs at least $1 million to build a new warehouse in Medicine Hat 2 years from today. To date, it has invested $480,000.00. If it continues to invest $45,000.00 at the end of every quarter into a fund earning 6% quarterly, will it have enough money to build the warehouse 2 years from now? How much money will it have? The Martin-Brower Company's $480,000.00 will have grown to have enough money 2 years from now. and its $45,000.00 deposits will have grown to Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 2 times. You have 3 attempts left before new version will be requested. Your overall recorded score is 25%. You have unlimited attempts remaining. Show Past Answers for a total of Thus, it ?

Graph the function f(x) = log₁ (x). You can only graph integer points, for example you cannot plot the point -1, -1, 1). There is one point that can be moved above and below the axis as needed. Do not move either point off of the graph as you will not be able to click on the point again.

There are 1,236 volleyball players at a tournament. The players are divided equally into groups of 15. How many players will not be in a group? 4 players 6 players 8 players 10 players

A manufacturer of lie detectors is testing its newest design. It asks 500 subjects to lie deliberately and another 700 to tell the truth. Of those who lied, the lie detector caught 300. Of those who told the truth, the lie detector accused 300 of lying. E is the event that the machine wrongly lets a liar go. Find the following values. fr(E) = N = What is the relative frequency of the machine wrongly letting a liar go? (Round your answer to two decimal places.) If E is now the event that the machine falsely accuses someone who is telling the truth, find the following values. fr(E) = N = MY NOTES What is the relative frequency of the machine falsely accusing someone who is telling the truth? (Round your answer to two decimal places.) ASK YOUR TEACHER PRACTICE ANOTHER

Consider the following. (Assume that the coins are distinguishable and that what is observed are the faces or numbers that face up.) Three coins are tossed; the result is at most one tail. Which of the following sets of elements are included in the sample space? (Select all that apply.) O HHT O HTH OTTH THT O TTT 0 HHH D THH HTT List the elements of the given event. (Select all that apply.) O HTH O THT TTT HHH O HTT HHT OTHH OTTH Dead It Watch It

Rhombus LMNO is shown with its diagonals. Angle MNO measures 119°. What is the measure of angle LMN? M P N

The diameter of circle C is 7 cm. 2 BCA (the non shaded region) has a measure of 1.36 radians. Find the length of arc BDA. Show your setup and your work for full credit. Round your answer to two decimal places.

Identify the dividend, divisor, and quotient. a. 900 ÷ 3 = 300 dividend: 120 600 ÷ 5 - dividend: divisor:...... 3........ quotient: .... divisor: quotient:

rections: Please create an expression representing the verbal sentence and solve. 1) Sonia is making a quilted wall hanging that is 38 inches wide. If each quilt square is 42 inches wide, how many squares will she need to complete one row of the wall hanging?

Use the LCD to rewrite 1/6 and 3/8 with the same denominator.

One type of uranium has a radioactive decay rate of 0.4% per day. If 40 pounds of this uranium is available today, how much will still remain after 50 days? Use y=40(0.996), and let x be 50. After 50 days. lb of uranium will still remain (Round to the nearest hundredth as needed)

Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chests every 4 hours. Complete the table using equivalent ratios. Treasure chests 8 10 Hours 4 6 Stuck? Review related articles/videos or use a hint. Report a problem

Sketch the graph of a polynomial function given the following description: • Even degree • Positive leading coefficient • x-intercepts at -4, 0, 3, 6

10. Shannon plans to start up a small business manufacturing baseball caps (for men) of New York Mets. Her initial cost is $4500. Each cap costs $11.99 to manufacture. (a) [2 points] Write a cost function C, where x represents the number of caps manufactured. (b) [2 points] Find the revenue function R if each cap in part (a) sells for $31.99. (c) [5 points] Give the profit function P in simplified form. (d) [6 points] How many caps must be produced and sold for Shannon to earn a profit?

The following formula represents Newton's gravitational force, F, where G represents the gravitational constant, m₁ and m₂ represent the masses of two objects, and drepresents the distance between the two objects. Solve the given formula for d. F2 OA. d = Gmy ₂ OB. F d=√√G my my m₁ m₂ F2 OC. d = G OD. d=V G m₁ m₂ F F = = G my m₂ d² Jhry

The landscaping at a park features 15 azalea bushes at the entrance to the park as well as a garden of azalea bushes inside the park. In the garden, the azalea bushes are planted in rows containing the same number of bushes, as shown below. Write and solve an equation to determine how many rows of azalea bushes, r, are planted in the garden if there are 119 total azalea bushes at the park. OA. 8r+15= 119; r = 13 rows OB. 15r+8=119; r = 7 rows OC. 8r-15 = 119; r = 17 rows OD. 15r-8=119; r = 9 rows

Save-Mor Merchandisers had net sales of $442,300 for the year. If the beginning inventory at retail was $254,900 and the ending inventory at retail was $175,400, find the inventory turnover at retail. (Round your answer to the nearest tenth.) O 1.6 times O 1.8 times O 2.1 times O2.6 times

Jared wanted to find three consecutive even integers whose sum was 4 times the first of those integers. He let k represent the first integer, then wrote and solved this equation: k + (k+ 1) + (k + 2) = 4k. Did he get the correct answer? Complete the explanation. Jared did not get the correct answer. The solution to his equation is k= giving and 3 and 5 are not even integers. He should have used the equation k+ (k+ ) + (k+ )=4k, which gives k = answer as the three integers. However, and the correct

3) Calculate the slope using the slope formula (Slope of a line: m = ) for the set of points. (- www 11.75, - 6 and (-7,4²3) 32-91 (T2 - 11)

Solve the quadratic by factoring. Answer: x²-3x-16=-6 Submit Answer

9. The amount of students who've used "feeling sick" to get out of class can be predicted by the expression 150(1.95)', where t is the number of years since 1996. A. What does the value "150" represent in the expression?

Use the long division method to find the result when 3x³ + 7x² + 14x + 10 is divided by x + 1.

Determine if the expression 7p5 - + p is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial. P 10

Rewrite the polynomial in the form ax + by + c and then identify the values of a, b, and c. y + 1/3 - x

The following relationship is know to be true for two angles A and B: sin(A) cos(B) + cos(A)sin(B) = 0.927966 Express A in terms of the angle B. Work in degrees and report numeric values accurate to 2 decimal places. A =

In a large population, 51 % of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated? Give your answer as a decimal (to at least 3 places) or fraction,

Factor completely. x² - 9

A plane flies 250 kilometers with a bearing of N 28° W from A to B. The plane then flies 500 kilometers southwest from B to C. C is directly west of A. Find the bearing of the flight from B to C. Round to the nearest 10th.

Error Analysis A contractor purchases 5 dozen pairs of padded work gloves for $69.60. He incorrectly calculates the unit price as $13.92 per pair for the expense report. What is the correct unit price? What is the error?

Billy made a sphere out of modeling clay. The sphere has a radius of 2 inches. Approximately how much modeling clay did Billy use? 4.2 cubic inches 25.1 cubic inches 33.5 cubic inches 50.3 cubic inches

Calculate the inventory turnover at cost for Ricky's Department Store. The starting inventory at cost was $483,800 and the ending inventory at cost was $238,000. Cost of goods sold for the year totaled $2,610,660. (Round your answer to the nearest tenth.) 3.6 4.9 7.2 10.9

Using deductive reasoning, which statement is true given the following information? Fred hates all bugs. Cicadas are insects. All bugs are insects. Select the correct answer below: Fred loves cicadas. Fred likes cicadas. Fred hates cicadas.

Use the long division method to find the result when 3x³ - 29x² - 16x - 8 is divided by 3x + 1. If there is a remainder, express the result in the form

Which equation has the same solution as x² + 18x - 19 = -4?

Here is another riddle: • The sum of two numbers is less than 2. • If we subtract the second number from the first, the difference is greater than 1. What are the two numbers? 1. The riddle can be represented by a system of inequalities. Write an inequality for each statement.

Leo is making lemonade. He puts the juice from 6 lemons into 2 liters of water. Fill in each statement. For every 1 lemon, Leo uses If he uses 12 lemons, he would need!

Jacob wants to buy a house. He has $11,500 to invest in an account that compounds interest continuously What interest rate would he need to get in order to have $18,000 at the end of 6 years? Round your answer to the nearest tenth of a percent.