Basic Math Questions and Answers

There are at least 12 people on a bus. a. Write and graph an inequality to show the number of people who may be on the bus. b. Three people get on the bus at the next stop and no one gets off. Write an inequality that represents the number of people who may be on the bus now. Explain your thinking.

If f:A → B then A is the If f:A → B then B is the Suppose that S = the set of squirrels in NY's Central Park and let X be the function on S that tells you the weight of the squirrels. In particular, X(a Central Park squirrel) = that squirrel's weight in grams. If we write 400 grams ≤X<≤500 grams this refers to the set of Suppose that S = the set of squirrels in California and let X be the function on S that tells you the weight of the squirrels. In particular, X(a California squirrel) = that squirrel's weight in grams. If we write 400 grams ≤x≤500 grams this refers to the set of

Sam and Carlos are bowling with plastic pins in Sam's living room. Remarkably, Sam knocks down 8 pins on every bowl, and Carlos knocks down 9 pins on every bowl. At the end of the day, Sam and Carlos have knocked down the same total number of pins. What is the least number of total pins that Sam and Carlos could have each knocked down? 36 72 144 56

Given the functions below, find the domain of (f.g)(x). f(x) = -4/-x+4 g(x) = -8/-2x-6 Select the correct answer below: All real numbers except -3 and -7/4 All real numbers except -3 and-3/2 All real numbers except -3 and -2 All real numbers except -3 and -5/4 All real numbers except -3 and 4

Chris is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice to spice ration is 15 : 1. He currently has 40 grams of the spice blend, and he can go buy more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, Chris spends 4.50 dollars on rice. How many servings can Chris make with the current amount of spice he has? 10 6 4 8

A skyscraper has an observation deck. There are always 5 employees on the deck. At any time, there must be fewer than 40 people on the deck. a. Write an inequality that represents the number of visitors, v, who can be on the deck at any time. Show your work. b. Graph the inequality you wrote in problem 3a.

Luke and Yoda were picking strawberries. Yoda picked 36 strawberries. He picked 6 times as many strawberries as Luke picked. Which equation will help us find how many strawberries (L Luke picked? LX 36 = 6 6XL = 36 36 x 6 = L

Write the indicated amounts using Arabic numbers and proper abbreviations. Use decimals instead of fractions and include a space between the number and the abbreviation.

You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $3.19 a pound, which is cheaper than your usual neighborhood store, which sells it for $3.59 a pound. Is it worth the extra drive? First, determine what information you need to answer this question, then click here to display that info (along with other info). How much chicken will you be buying? 3 pounds How much far are the two stores? My neighborhood store is 2.4 miles away, and takes about 7 minutes. The store across town is 8.5 miles away, and takes about 26 minutes. How kind of mileage does your car get? It averages about 19 miles per gallon in the city. How many gallons does your car hold? About 14 gallons How much is gas? About $3.77/gallon right now. Going to the close store is cheaper Going to the further store is cheaper The cheaper option saves you $ Give your answer to the nearest cent.

Given each pair of points, identify the slope. Next, identify which slope (-12, 13), (-15, 8) Slope: (8,3), (-10, 9) Slope: (-3, 4), (13,- 15) Slope: (-7, 7), (-14, 10) Slope: Which slope is the steepest?:

Divide: 6x³+2x²+22x / 2x² + 5 3x +1+ (7x - 5 / 2x²+5) 3x + 1 3x +1+ (7x + 5 / 2x²+5) 3x - 1+ (7x-5 / 2x²+5)

A patient suffering from a cold is given a prescription for 2 teaspoons of cough suppressant every 6 h for 8 days. The patient will be using a teaspoon to measure the dose of medication. If the medication is supplied in pint bottles, how many bottles will the patient need during the 8 days?

Over the last three evenings, Keiko received a total of 128 phone calls at the call center. The second evening, she received 4 times as many calls as the third evening. The first evening, she received 8 more calls than the third evening. How many phone calls did she receive each evening? Number of phone calls the first evening: Number of phone calls the second evening: Number of phone calls the third evening:

Andrew started biking to the internet cafe traveling 14 mph, after some time the bike got a flat so Andrew walked the rest of the way, traveling 6 mph. If the total trip to the internet cafe took 10 hours and it was 92 miles away, how long did Andrew travel at each speed?

Find the set A ∩ B. U=(1, 2, 3, 4, 5, 6, 7) A = (1, 2, 3, 4) B=(1, 2, 5) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. A∩B (Use a comma to separate answers as needed.) B. A∩B is the empty set.

Divide: 4x³-43x+21 / (x - 3) 4x² + 12x - 7 4x² - 31x + (-72 / x - 3) 4x² - 12x - 7 4x² + 31x + (-72 / x - 3)

Jerry made 8,700 mL of tomato soup. He packed 1.6 L of the soup for his kids' lunches. He then froze half of the remaining soup. How many milliliters of soup did Jerry freeze? Jerry froze mL of soup

Bill wants to attend a college with a current tuition of $10,000 a year. He will graduate from high school in five years. Roughly how much will Bill need to save for one- year's tuition to account for an annual rate of inflation of 3%? $638.30 $667.50 $656.50 $633.30

Enter the unlock number to escape! Use scratch paper if needed. * Nearpo Anna is preparing 30 days of dessert for her pet beetle. She starts by mixing 3.67 grams of pureed ants with a 1.43-gram blueberry. She then divides the mixture into 30 equal parts, one for each day. The International Federation of Beetle Keepers recommends that a beetle should have 0.15 grams of such a dessert each day. Over the course of a seven-day week, how many more grams of dessert will Anna's beetle have eaten than the recommended amount?

A party supply store sells cups in packages of 6 and plates in packages of 8. You are hosting a party and you want to have the same number of each item. What is the least number of plates (packages) Shaniya needs to buy?

Albertsons grocery planned a big sale on apples and received 960 crates from the wholesale market. Albertsons will bag these apples in plastic. Each plastic bag holds 1/6 of a crate. If Albertsons has no loss to perishables, how many bags of apples can be prepared? Bags of apples

Divide: 6x³ + x² -12x + 5 / (3x - 4) 2x² + 3x + (5 / 3x-4) 2x² - 3x + (5 / 3x-4) 2x² + 3x + 5 2x² - 3x - (5 / 3x-4)

Kira, Joe, and Hans sent a total of 98 text messages during the weekend. Kira sent 6 more messages than Joe. Hans sent 2 times as many messages as Joe. How many messages did they each send? Number of text messages Kira sent: Number of text messages Joe sent: Number of text messages Hans sent:

Graph the line with the equation y =1/3 x - 6.

A local Papa Gino's conducted a food survey. The survey showed that 2/11 of the people surveyed preferred eating pasta to hamburger. If 5,434 responded to the survey, how many actually favored hamburger? (Do not round intermediate calculation and round your final answer to the nearest whole number.)

This question is designed to be answered without a calculator. Let f be a continuous function whose graph passes through points (4, 0), (5, 1), (8, 2), (13, 3), and (20, 4). A trapezoidal approximation of the area under the graph of y = f(x) over the interval [4, 20] with 4 subintervals is 32. 38. 42. 50.

Simplify the expression. 15x⁴y⁷ / 3xy⁴

Perform the indicated operation and simplify the results. Divide 6m² + 2m by 2m

Use the distributive property to multiply. [Hint: Do not use space in your answer.] x² (3x³ – 8x² − 6x)

Your cell phone has 983.5 MB of free space. You save a 1.4-MB picture and download two songs that are the same size. cell phone now has 974.9 MB of free space. What is the size of each song?

Perform the subtraction and find the difference. 11x³ - 8x² + 2x - (11x³ - 11x² + 15x) Ax² + Bx A = B =

You can also find 12 1/2 - 60 1/3 = - 72 5/6. What information does that give you about the path in the Example?

Use long division to find the quotient and remainder. (3x² - 14x - 5) ÷ (x - 5) What is the quotient? What is the remainder?

Use long division to find the quotient and remainder. (4x² + 12x + 8) ÷ (4x + 4) What is the quotient? What is the remainder?

Use long division to find the quotient and remainder. (5x² +24x +1)÷ (x + 5) What is the quotient? What is the remainder?

Use long division to find the quotient and remainder. (x³ - 7x² + 13x - 6) ÷ (x − 2) What is the quotient? What is the remainder?

Use long division to find the quotient and remainder. (x² + 2x - 15) ÷ (x - 2) What is the quotient? What is the remainder?

Use synthetic division to divide. (9x³ - 9x² +50x +15) ÷ (3x − 1) What is the quotient? What is the remainder?

An issue of Taunton's Fine Woodworking included plans for a hall stand. The total height of the stand is 69 inches. If the base is 47 inches, how tall is the upper portion of the stand?

The boiling point of water was measured at different locations of varying barometric pressures. A regression line of the data is y = 1.9x + 155.3, where y is the boiling point in degrees Fahrenheit and x is the pressure in inches of mercury. Which statement best describes the meaning of the slope in the regression line? A. For every 1 inch of mercury the pressure increases, the boiling point is expected to increase by 1.9 °F. B. For every 1 inch of mercury the pressure increases, the boiling point is expected to increase by 155.3 °F. C. For every 1.9 inches of mercury the pressure increases, the boiling point is expected to increase by 1.9 °F. D. For every 1.9 inches of mercury the pressure increases, the boiling point is expected to increase by 155.3 °F.

If f(x) = 2x² - 7x+1, find each of the following. (a) f(0) (b) f(-5) (c) f(2) (a) f(0) = 1 (b) f(-5) =

At the beginning of the year, Pina Colada Company had total assets of $968,000 and total liabilities of $586,000. Answer the following questions. (a) If total assets increased $135,000 during the year and total liabilities decreased $69,000, what is the amount of stockholders' equity at the end of the year?

The lowest point of the dry lake bed in the Example has an elevation of -18 3/4 ft. What number represents the change in elevation from the start of the path to the lowest point in the dry lake bed? Show your work.

Personal care aide is an occupation that is growing quickly. Assume that, in a certain region, there will be a need for 152,452 personal care aides in 2024, a growth of about 29% over 2014 levels. How many personal care aides were there in this region in 2014?

A friend has a 78% average before the final exam for a course. That score includes everything but the final, which counts for 25% of the course grade. What is the best course grade your friend can earn? What is the minimum score would your friend would need on the final to earn a 75% for the course?

Consider the following operations on the number 1.59 x 10-² Without using a calculator, decide which would give a significantly smaller value than 1.59 x 107, which would give a significantly larger value, or which would give essentially the same value. 1.59 x 10 +2.00 x 100 1.59 x 10-22.00 x 10-6 1.59 x 102x2.00 x 10-6 1.59 x 102 +2.00 x 10-6

Create an equation for the following real-life problem. Adrian needs to rent a car while on vacation. A-plus rentals charges $60 per day plus $0.60 per mile. The rental cost for Mavis Rentals is $70 per day and $0.50 per mile. The equation represents the mileage at which each of the rentals will be the same cost.

Sand falls from a conveyor belt at a rate of 15m3/ min onto the top of a conical pile. The height of the pile is always three-eighths of the diameter of the base. How fast is the height changing when the pile is & m high?

This problem is a checkpoint for solving linear equations (integer coefficients). It will be referred to as Checkpoint 1. Solve each equation. a. 3x+7=-x-1 C. 4x-2+x=-2+2x b. 1-2x+5=4x-3 d. 3x-4+1=-2x-5+5x

In this example, we should not report all the digits from the final calculation. By including all the numbers we imply that we were able to measure the dimensions with greater precision than actually possible with a standard inch ruler. We should round and report the diagonal calculation with two significant figures since the length and width values were given with two significant figures. If we round off in the middle of our calculation and square root 190, we will be removing valuable information that would otherwise provide a more accurate diagonal value. By rounding down midway we end up with a value that is less than the true diagonal value. You could argue that we are going to report our final answer with two significant figures anyway and end up at the same number, but it is a bad habit that can lead to unreliable data in other situations.