Basic Math Questions and Answers

In an electric circuit, the current varies inversely as the resistance. The current is 40 amps when the resistance is 12 ohms. Write a indirect variation equation for the relationship between current-c versus the resistance=r.

The larger of two numbers exceeds twice the smaller by one. Three times the smaller exceeds the larger by six. If y is the larger number, which of the following systems of equations represents the word problem? y=2x+1 and y+6= 3 x y=2(x+1) and y+6= 3 x y=2x+1 and 3 x + 6 = y

Mercury is 57,000,000 km from the sun. Neptune is 4.5 x 10⁹ km from the sun. What is the difference between Mercury's and Neptune's distance from the sun? 4.443 x 10⁹ 4.43 x 108 4.443 x 1010 4.443 x 108

Nick is making bread dough. • Nick wants to make the recipe using 1 cup of flour. • The recipe requires 3/4 cup of flour and 1 1/8 teaspoons of salt. To maintain the ratio, how much salt is required when 1 cup of flour is used?

How does increasing the reserve requirement affect the money supply? It decreases the money supply because less money is on reserve in banks. It increases the money supply because more money is available for loans. It increases the money supply because more money is on reserve in banks. It decreases the money supply because less money is available for loans.

Simplify the expression 1/x² + 3x + 2 - 1/x²-3x - 4 and give your answer in the form of P/Q Your answer for P is: Your answer for Q is :

Tuition for one year at a state university is about $13,500. Stephen would like to attend this university and will save money each month for the next 5 years. His grandparents will give him $7,000 for his first year of tuition. Which plan shows the minimum amount of money Stephen must save to have enough money to pay for his first year of tuition? A Save $541.67 per month for the next 5 years. B Save $225.00 per month for the next 5 years. C Save $116.67.00 per month for the next 5 years. D Save $108.33 per month for the next 5 years.

Four expressions are shown in the box. Expression 1: 3.4 x 105 Expression 2: 8.7 x 10 Expression 3: 2.1 x 106 Expression 4: 9.5 x 10³ Which expression represents the largest value? Expression 1 Expression 2 Expression 3 Expression 4

Solve the equation 3/x+1 - 3/2 = 8/3x+3

There are approximately 7.5 x 1018 grains of sand on Earth. There are approximately 7* 1027 atoms in an average human body. Are there more grains of sand on Earth or atoms in an average human body? Atoms in the human body Grains of sand on Earth

In ΔMNO, the measure of ∠0-90°, MN = 27 feet, and OM = 20 feet. Find the measure of ∠M to the nearest degree.

Multiply and simplify: x² - 2x - 8/x² - 16*x² - 25/x² + 7x + 10 Numerator preview: Denominator preview: Enter the numerator and denominator separately in the boxes below. If the denominator is 1, enter the number 1. Do not leave either box blank. Answer:

Multiply and simplify: 4d/w. 3w/2r Be sure to use parentheses as needed when entering your answer.

The loudness, L, of a sound, (measured in decibels, dB) is inversely proportional to the square of the distance, d, from the source of the sound. When a person 5 feet from a jetski, it is 100 decibels loud. How loud is the jetski when the person is 49 feet away?

Simplify the expression 5/x2+1/x² + x and give your answer in the form of f(x)/g(x) Your answer for the function f(x) is: Your answer for the function g(x) is:

Garrison deposited $480 in an account that earns 3% interest compounded annually. How much interest will the account earn after 72 months?

Find the future value and interest earned if $8804.56 is invested for 8 years at 4% compounded (a) semiannually and (b) continuously. (a) The future value when interest is compounded semiannually is approximately $ (Type an integer or decimal rounded to the nearest hundredth as needed.) The interest earned is approximately $ (Type an integer or decimal rounded to the nearest hundredth as needed.) (b) The future value when interest is compounded continuously is approximately $ (Type an integer or decimal rounded to the nearest hundredth as needed.) The interest earned is approximately $ (Type an integer or decimal rounded to the nearest hundredth as needed.)

In ΔSTU, the measure of ∠U=90°, US = 5.9 feet, and TU = 2.6 feet. Find the measure of ∠T to the nearest tenth of a degree.

Carly deposited $800 in an account that earns 2.5% compounded annually. How much will Carla have in her account at the end of 8 years if she makes no withdrawals or deposits? The answer is $

The sum of the digits of a two digit number is 14. The difference between the tens digit and the units digit is 2. If x is the tens digit and y is the ones digit, which system of equations represents the word problem? x+y=14 and x-y=2 x+y=14 and y-x=2 xy-14 and x-y=2

Suppose you deposit $4000 at 8% interest compounded continuously. Find the average value of your account. during the first 4 years.

A fireman invests $40,000 in a retirement account for 2 years. The interest rate is 6%. The interest is compounded monthly. What will his final balance be? The answer is $

If 1700 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume = (include units)

A farmer has 380 feet of fencing and wants to fence off a rectangular field that borders the back of his property. The back of the property already has a fence. What is the largest possible area of the field in square feet?

Suppose a universal set consists of natural numbers that are at most 16. Two subsets are created from the universal set; Set A contains the multiples of 3 and Set B contains the odd numbers. Correctly place each element of the universal set in the Venn diagram to the right.

Suppose 30 cars start at a car race. In how many ways can the top 3 cars finish the race? The number of different top three finishes possible for this race of 30 cars is (Use integers for any number in the expression.)

A mall has four escalators, one elevator, and three stairwells to travel from the second floor to the first floor. They have six doors on the first floor to exit the mall. If Jane is on the second floor, how many ways can she exit the mall?

If you were going to use the distributive property as the first step in the equation, 4 − 2 (x + 1) = 10, what would your next step be? 4-2x+1=10 4-2x-2 = 10 4-2x-1-10 -2x+5 = 10

In Exercises 1-4, find the indicated measure. 1. area of a circle with a radius of 6.8 feet 2. area of a circle with a diameter of 19.2 centimeters 3. radius of a circle with an area of 1017.9 square meters 4.diameter of a circle with an area of 707 square inches

Select the correct answer. The designers of a standardized test are interested in knowing how long people take, on average, to complete the writing portion of the test. They decide to conduct an observation study at a testing facility. To avold blas in their study, they create a list of the test takers scheduled to take the test this week. Then, they randomly select 50 test takers from the list to be part of the study. In this situation, what does the list of test takers represent? A. the frame B. a control group C. a sample D. the population

At a hockey game, a vender sold a combined total of 228 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

Divide and simplify: x + 4/3x + 12/ x + 5/8x + 40 Enter the numerator and denominator separately in the boxes below. If the denominator is 1, enter the number 1. Do not leave either box blank. Answer:

(d) A wind turbine has a capacity of 3 MW. Assuming the turbine operates at 50 percent of its capacity all day and every day for a week, calculate how many kWh of electricity the wind turbine will produce by the end of the week. Show your work (e) if a typical house uses 10,900 kWh per year, calculate how many bouses could have their full energy needs provided for one year by the turbine above if it continued to operate as described for one year. Show your work

You have 268 feet of fencing to enclose a rectangular region. What is the maximum area of the region? A. 17,956 square feet B. 4,485 square feet C. 4,489 square feet D. 71,824 square feet

Coast Guard Station Able is located L = 120 miles due south of Station Baker. A ship at sea sends an SOS call that is received by each station. The call to Station Able indicates that the ship is located N55°E; the call to Station Baker indicates that the ship is located S60°E. Use this information to answer the questions below. (a) How far is each station from the ship?

A contractor finds that Crew A takes 9 1/2 hours to construct a retaining wall and Crew B can do the same job in 7 1/2 hours. If Crew A and Crew B work together, how long will it take them to construct the retaining 2 wall? a) Let h = the time to complete the job. Write the equation you would use to solve this problem. b) Now solve your equation. Give your answer first as a reduced fraction, and then a decimal rounded to 3 places. Working together, the two crews will construct the wall in which as a decimal is hours. hours (fraction),

Middle Creek High is selling tickets to a choral performance. On the first day of ticket sales the school sold 12 adult tickets and 3 child tickets for a total of $198. The school took in $172 on the second day by selling 3 adult tickets and 13 child tickets. Find the price of an adult ticket and the price of a child ticket. Make sure to set up the system first, and answer the question using proper units and a sentence. Enter your answer as a=# and c=#. Submit your work. *

A pendulum is swinging next to a wall. The distance from the bob of the swinging pendulum to the wall varies in a periodic way that can be modeled by a trigonometric function. The function has period 0.8 seconds, amplitude 6 cm, and midline H = 15 cm. At time t = 0.5 seconds, the bob is at its midline, moving towards the wall. Find the formula of the trigonometric function that models the distance H from the pendulum's bob to the wall after t seconds. Define the function using radians.

A baby weighs 14 pounds at 5 months and 21 pounds at 10 months. Assume the relationship is linear and that the baby gains the same number of pounds per month. Let x represent the number of months and y represent the weight in pounds. Write an equation in slope-intercept form that models the situation.

A grocery store sells a bag of 7 oranges for $4.48. If Khloe spent $6.40 on did she buy? oranges, how many did she buy?

24. A shelf that is 18 cm wide is held up by a triangular bracket. The bracket makes a 37.5° angle with the bottom of the shelf. What is the height of the bracket? Hint: draw a diagram and think about trigonometry a.13.81 cm b.12.94 cm c.10.96 cm d.14.28 cm

If you invest $23010.00 at an interest rate of 2.90% per year compounded semi-annually, what will the total value of your investment be after 9 years? Hint: use compound interest formula a. $29801.62 b. $29816.29 C. $23853.03 d. $35779.54

The weight of 3-month-old Bullmastiffs follow approximately a normal distribution with a mean of 120 pounds and a variance of 25 pounds. If your 3-month-old Bullmastiff is 130 pounds, how many standard deviations above or below the mean is your pet (i.e., find the Z-score)? 0 1 1.5 2

An amount of $32,000 is borrowed for 11 years at 3.75% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back? Use the calculator provided and round your answer to the nearest dollar.

A certain forest covers an area of 2300 km. Suppose that each year this area decreases by 6.5%. What will the area be after 14 years? Use the calculator provided and round your answer to the nearest square kilometer.

Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $51,800?

The weight of golden hamsters follows a normal distribution with a mean weight of 4.3 ounces and a standard deviation of 0.25. What is the probability that a randomly chosen hamster weighs less than 4.6 ounces? 0.655 0.788 0.885 0.945

What are the coordinates of the point on the directed line segment from (-8, 1) (2, -7) that partitions the segment into a ratio of 3 to 1?

6. Kelly works two jobs. She usually works at a retail store for 7 hours during the day and is paid $12 per hour by the store. In the evening she works at a restaurant as a manager for 5 hours and is paid $20 per hour. How much does she make on average per hour for the day?

A seventh grade English Language Arts teacher wants to order books for all the seventh grade classes. He wants to determine the favorite type of book among the seventh grade students. Which sample would be the most appropriate for this survey? A 7 girls in each of his classes B every fifth student in the seventh grade C 1 out of 7 students in his middle school D all of the boys in one of his seventh grade classes