Basic Math Questions and Answers

A city planning commission must determine whether or not to approve the construction of a new building. The company wants to build in an area of the city that has a height limitation of 310 feet. The plans show that the first floor of the building is 20 ft high and each of the next 15 floors have a height of 11 ft, including the space between each floor needed for electrical, plumbing, and other systems. If the plan meets all other city code requirements, should the city commission approve the building plan? Explain. According to the plan, the building will have a height of the building plan. feet, which is the height limitation for the area. So, the city commission approve

Part A: Solve the equation 5(x + 2) = 6x + 3x - 14, and show your work. Part B: Use this list of properties to justify each step of your math work. Justifications may be used more than once if needed Distributive Property Subtraction Property of Equality Combine Like Terms Multiplication Property of Equality Division Property of Equality Given Addition Property of Equality

The sides of a right triangle are given, where 3x is the base, x - 1 is the height and =40c3² 3x + 1 is the measure of the leg of the triangle. If the perimeter is 56m, calculate the pengths of the triangle and then calculate the area.

The closest distance from Venus to Earth is about 40.000.000 kilometers. The closest distance from Jupiter to Earth is about 6.0 × 108 kilometers. How many times closer to Earth is Venus than Jupiter? Write your answer in standard notation.

If total employee benefits are calculated as a percentage of their gross pay, which of the following employees recieves the largest percentage of their gross pay in employee benefits? (Must show work) Emily: Gross pay $32,600, total job benefits $33,600 Jack: Gross pay $33,700, total job benefits $34,700 Judy: Gross pay $33,400, total job benefits $33,900 Marcel: Gross pay $32,900, total job benefits $34,000

Abrar is creating a model of the Pyramid of Giza using clay. Abrar's model will have a square base with side lengths of 15 inches and the height of the pyramid 10 inches. What will be the volume of Abrar's model? 750 cubic inches 2250 cubic inches 1000 cubic inches 1500 cubic inches

The Health Club offers a silver membership and a gold membership. The table contains information about the one-time registration fee and the monthly fee for each membership. After how many months is the gold membership a better value than the silver membership? Answer in a complete sentence.

Pedro is building a spice rack with 4 shelves that are each 0.55 meter long. At the hardware store, Pedro finds that he can only buy the shelving in whole meter lengths. Exactly how many meters of shelving does Pedro need? Since he can only buy whole-number lengths, how many meters of shelving should he buy? Justify your thinking.

Barry's employer pays $1,945 in health insurance and $234 in life insurance per year. He also gets $4,213 in paid time off per year. His monthly gross pay is $5,020. What are Barry's total job benefits per year?

Which statement is true about a translation? A. A translation takes a line to a parallel line or itself. B. A translation takes a line to a perpendicular line. C. A translation requires a center of translation. D. A translation requires a line of translation. A B C D

Assume that in the year 2019, 766,300 people attended the Christmas Eve celebration at Walt Disney World. In 2020, attendance for the Christmas Eve celebration is expected to increase by 32%. What is the total number of people expected at Walt Disney World for this event? Total number of people

The brain volumes (cm³) of 20 brains have a mean of 1059.4 cm³ and a standard deviation of 127.1 cm³. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of 1273.6 cm³ be significantly high? Significantly low values are cm³ or lower. (Type an integer or a decimal. Do not round.)

Use differentials and the graph of f to approximate the following. (Round your answers to three decimal places.)

Consider the function f(x) = 4x³ - 10x² - 2x - 9. Step 2 of 2: Interpret the meaning of f'(6) = 310. The slope of the curve at x = 6 is 310. The slope of the secant line from f(0) to f(6) is 310. The average rate of change from x = -6 to x = 6 is 310. The value of the function evaluated at x = 6 is 310.

A store ordered 650 candles at a total wholesale cost of $7,349.02. The soy candles cost $12.79 each and the specialty candles cost $10.05 each. How many of each type of candle were ordered? The store ordered ___soy candles and ___specialty candles.

A local farmer is planting crops on his 30 acre farm. He wants to plant at least 10 acres of com and at least 5 acres farmer believes he can make a profit of $80 per acre profit on the com and a profit of $60 per acre on the soybeans. The farmer wants to maximize profit. Which of the following is NOT a constraint in this situation? x + y ≤ 30 x ≥ 10 y25 P= 80x + 6y

The radius and height of a right-circular cylinder are increasing at the rate of 0.5 in./sec and 0.6 in./sec, respectively. When the radius is 8 in. and the height is 13 in., How fast is the volume of the cylinder increasing? (Round your answer to two decimal places.)

Select the correct equation with the following characteristics: A polynomial function with only one real zero and 4 imaginary zeros. y=-x³+4x³ y = − x²(x − 9)² y=(x-4)² (x² - 4x + 3) y = (x³ + 1) (x²+4)

Jenny bought 3.5 pounds of peanuts for $12.60. Her friend buys 6.25 pounds of walnuts for $23.75. Which is less expensive per pound? By how much? a. peanuts; $0.20 b. peanuts; $0.40 c. walnuts; $0.20 d. walnuts; $0.40

ALGEBRA Find the value of x and BC if B is between C and D. CB = 4x-9, BD = 3x + 5, and CD = 17 CB = 2x, BD = 4x, and BD = 12

A 150-pound person uses 6.7 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 230 calories? A person must walk for at least minutes in order to use at least 230 calories.

Identify the Gerund in the following sentence: Getting up early in the morning is sometimes a challenge. A. getting B. is C. challenge

The bus routes in a city run on average every 15 minutes. The route times can vary by three minutes. Which absolute value equation can be used to find the maximum and minimum wait times at a bus stop?

In isosceles triangle DAC, AD is congruent to AC. Kiran knows that the base angles of an isosceles triangle are congruent. What additional information does Kiran need to know in order to show that AB is a perpendicular bisector of segment CD? DB=BC Segment AB bisects <DAC Segment AB is perpendicular to segment DC All of these None of these

Suppose f(x) represents trucks built for input x in labor units. Step 1 of 2: Interpret the meaning of f(200) = 800.

Cones and Candy sells candy as well as snow-cones. Roberto uses paper cone cups to fill the snow cones that have a volume of 12.8 cubic inches. If the height of the cone is 4 inches what is the diameter? Use 3.14 to approximate pi. 3 inches 3.5 inches 1.75 inches 1 inch

Find the equation for an exponential function that passes through the pair of points given below. (Round all coefficients to four decimal places when necessary.) through (1, 4) and (4, 0.5)

Express the gross salary G of a person who earns $22 per hour as a function of the number x of hours worked. The gross salary G of a person who earns $22 per hour expressed as a function of the number x of hours is (Type an expression using x as the variable.)

A gas at temperature T, pressure P with volume V satisfies the gas equation PV = KT where K is a constant that depends on the gas. a. Express volume in terms of pressure and temperature. b. Express pressure in terms of volume and temperature. WebWork tip: Keep letters upper case: p is not the same as P. Need help? Links to the Online Math Lab: OML links for High School Math Review

The number of home runs per game in Major League Baseball can be approximated by the function f(x) = 0.017x + 0.61, where x is the number of years after 1977 and corresponds to one year of play. Step 1 of 2: What is the value of f (22) and what does it represent? What does f (22) represent? The average change between 1977 and 1999 for the expected number of home runs per game is f(22). The rate of change in expected home runs per game was f(22) in 1999. The total change between 1977 and 1999 for expected home runs per game is f(22). The expected home runs per game was f(22) in 1999.

Anthony drew a pentagon with each side measuring 6 inches. Carol drew a hexagon with each side measuring 5 inches. Which shape has a greater perimeter? Write an equation to help explain your answer.

Solve the equation using the quadratic formula. 2x²-13x-2=0 The solution set is.

For the equation given below, complete parts a through c. - 9x + y = 0 a. Put the equation in slope-intercept form by solving for y. b. Identify the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is. B. The slope is undefined. Identify the y-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The y-intercept is B. There is no y-intercept.

Water flows from a storage tank at a rate of 300 - 7t liters per minute. Find the amount of water that flows out of the tank during the first 14 minutes.

Susan Marciano invested part of her $13,000 bonus in a fund that paid a 10% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $910. The amount invested at 10% is $ The amount invested in stock is $

Use the Law of Detachment to draw a logical conclusion from the two given statements. If not possible, choose not possible. If it is sunny, then I will have a picnic. Today it is sunny. I will have a picnic today. I am having a picnic, it must be sunny. If it is not sunny, then I will not have a picnic. not possible

Determine whether the equation defines y as a function of x. y= 1/X Does the equation define y as a function of x? Yes No

A total of $7000 is invested: part at 6% and the remainder at 10%. How much is invested at each rate if the annual interest is $520?

Supply a valid technology formula for the given function. 2^-5x 24-5*x 2^(-5*x) 2^x-5 (2^-5)*x

Marina rend a drone and model airplane at the Auto-Models for Teens. The following system represents the hours she rented the drone and the model plane and the total amount spent for rental. In the system, d represents the number of hours she rented the drone and a represents e number of hours she rented the model airplane. Which of the following statements are true? True or False d+ a = 8 80d +50a = 580 Marina rented the drone and model airplane for a total of 8 hours. The charge to rent a drone is $80 per hour. Te charge to rent model airplane is $610 per hour. Merina spent $130 at Auto-Models for Teens on renting the drone and model airplane. Mrina rented the drone for 7 hours. Mrina rented the model airplane for 2 hours.

Cooper's wallet is full of $5 and $10 bills. He has 25 bills totaling $230. How many of each bill does he have? Let x represent the number of five-dollar bills and let y represent the number of ten-dollar bills. A) Write a system of equations for this problem: B) Solve the problem on paper. C) What is the solution to the system of equations:

A metallurgist has one alloy containing 38 % copper and another containing 58 % copper. How many pounds of each alloy must he use to make 51 pounds of a third alloy containing 55 % copper? (Round to two decimal places if necessary.)

Solve the inequality. Graph the solution set. - 5+x≤1

Which sentence below correctly uses the infinitive to read? A. The only way we could assemble the unit correctly was to read the entire set of instructions. B. The teacher told the students to, if they wanted to understand a text, read it closely for meaning. C. If taking a test, it is important to, before answering a question, read the instructions carefully, D. Sal didn't have time to, since the class was over, read the assignment that was due tomorrow,

Classrooms on one side of the drama building are all numbered with consecutive even integers. If the first room, the room with the smallest classroom number, on this side of the building is numbered y, write an expression in y for the sum of the first seven classroom numbers in a row. Then simplify this expression. The sum of the first seven classroom numbers in a row is

Sally invested some money at 15 % interest. Sally also invested $172 more than 3 times that amount at 14%. How much is invested at each rate if Sally receives $1398.35 in interest after one year? (Round to two decimal places if necessary.)

Which type of nonfiction should be used to share your research on a prominent scientist and her contributions to the study of genetics? A. memoir B. personal essay C. biography

Determine an equation to represent the surface area of a cylinder in terms of the height given that the radius is equal to ½ of the height.

Let (-5, 6) be a point on the terminal side of θ. Find the exact values of sin θ, csc θ, and cot θ.

A local Barnes and Noble bookstore ordered 80 marketing books but received 44 books. What percent of the order was missing?