Basic Math Questions and Answers

Sketch the points A, B, C, and D on a set of coordinate axes below. Then, find the distance from A to B and from C to D. a. A(3,1,0) B(-1,2,-5) Distance between A and B: b. C(5,-4,-6) D(8,- 7,4) Distance between C and D:

Last week you went shopping and spent exactly $180 on shirts and jeans. The shirts each cost $15 and the jeans each cost $30. Which of the following are constants in this situation? I. The total amount spent. II. The number of shirts purchased III. The cost per shirt IV. The cost per jean V. The total number of items purchased Choose the most accurate answer. I and V III and IV I and III and IV II and V ll only lonly

The number of hours in 80 minutes is 80/60. Which statements are true? The number of hours in decimal form is 1.3. The amount of time is a full hour and 1/3 hour. The number of hours is a terminating decimal. The number of hours is between 1 and 1.35. Dividing 6 by 8 will give the correct decimal value.

In 1996 the value of a 1957 Ford Mustang was appreciating at 10% per year. Al's father bought one back then for $4000 and he's kept it in immaculate shape. Al is bragging that it must be worth at least $50,000 now. What do you think of Al's claim? If it continues to appreciate at 10% per year, when will the car be worth $50,000?

A handywoman charges $20 to come to your house to give an estimate for a job and then another $35 for every hour she works on the job. Which of the following are constants in this situation? I. The total cost of the job II. The cost of the estimate III. The amount of time the handywoman works on the job IV. The hourly rate the handywoman charges Choose the most accurate answer. I and III II and IV I and IV II and III ll only IV only

Craig earns the same amount of money each month. His telephone bill is 1/20 of his monthly earnings, and he pays a total of $720 each year for his telephone service. How much does Craig earn each month, in dollars?

Suppose that K is the function that computes how many kilograms are in a pounds. Find the algebraic rule for K. (If you do not know how many pounds are in one kilogram, you can look it up on Google.) K(x) Evaluate K (109) and interpret the result. Something that weighs kilograms. = pounds would weigh about

The Cooking Club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating three pies to the club. Each pie was then cut into six pieces and sold. There were a total of 72 pieces to sell. How many pies did the club make?

A band is trying to decide how to price tickets for its next concert. Their market research suggests that, if they price the tickets at $20 per ticket, then they will sell 1000 tickets. For each $2 increase in ticket price, the number of tickets they will sell decreases by 5. Write a formula for N(p), the number of tickets they will sell if they price the tickets at p dollars per ticket.

Researchers counted 8,912 monarch butterflies on one branch of a tree at a site in Mexico. They estimated that the total number of butterflies at the site was 1,000 times as large. About how many butterflies were at the site in all? Explain your thinking, and include a statement of the solution.

The package insert for a medication reads a patient should receive 5 mL of medication for every 50 kg of body weight. If a patient weighs 66 lb, what is the amount of medication, in milliliters, the patient should be administered?

Marni bought two kinds of nuts-cashews and almonds. She spent $42, and for that money she bought 2 pounds of cashews and 3 pounds of almonds. Which of the following are variables in this situation? 1. The cost of cashews ($ per pound) 11. The cost of almonds ($ per pound) III. The total cost ($) IV. The total amount of nuts purchased (pounds) Choose the most accurate answer. I and II and III III and IV I and IV I and II I and II and IV

4. To simplify an expression involving decimals, such as 2x(1.1 +2.9+ 3.8), you should: Either is ok, but adding first is usually easier Never add first Add first Either is ok, but distributing first is usually easier Distribute first

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?