Basic Math question and answers for June 29, 2024
- Q An electrician charges a $20 house call fee plus $30 per hour of work. Which equation represents this relationship?A. y=20+30B. y=20x + 30C. y = 30x + 20D. y =...
- Q Frederick's salary varies directly with the hours he works. Last week he earned $328.30 and worked33.5 hours. If he works 35 hours this week, what will be his salary?A $314.23B...
- Q One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 10 hours. How lo it take the pipe to fill the...
- Q Add and/or subtract and then simplify completely:3p/p-81 + p/p+9
- Q Subtract and simplify:7x + 5/5x - 1x + 5/5xNumerator preview:Denominator preview:Enter the numerator and denominator separately in the boxes below. If the denominator is 1, enter thenumber 1. Do not...
- Q Add and/or subtract and then simplify completely:4p + 3/p - 6p+8 + 1/P-4Numerator preview:Denominator preview:Enter the numerator and denominator separately in the boxes below. If the denominator is 1, enter...
- Q Simplify the expression2x - 3 / x - 3 + 3 - x / x - 3and give your answer in the form off(x) / g(x)Your answer for the function...
- Q A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3121 tickets overall. It has sold 222 more $20 tickets than $10...
- Q Evaluate the sine, cosine, and tangent of the angle without using a calculator. (If an answer is undefined, enter UNDEFINED.)-135sin ? =cos ? =tan ? =
- Q A lemonade seller calculates that it costs $20 to produce 100 glasses of lemonade and $35 to produce 400 glasses of lemonade. Assume the relationship between the cost and the...
- Q Suppose that y varies directly with x, and y=8 when x = 20.(a) Write a direct variation equation that relates x and y.Equation:(b) Find y when x = 7.y =
- Q For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 10 N acts on a certain object, the acceleration of...
- Q Simplify the expression5x -6x-8x/6x - 15x + 6and give your answer in the form off(x)/g(x).Your answer for the function f(x) is:Your answer for the function g(x) is:
- Q Suppose you had $6.00 to buy bananas and apples. Bananas cost $0.49 per pound and apples cost $0.34 per pound. Write a linear equation that represents the different amounts of...
- Q (a) A star is 5.37 light-years from Earth. If 1 light-year is about 5.9 trillion miles, how many miles is the star from Earth?The star is about miles from Earth.(Simplify...
- Q 4. Brady deposited $600 into a new savings account that earns 2.5% simple interest. If Brady makes no other deposits or withdrawals, how much interest will the account have earned...
- Q The classrooms at Lincoln Middle School are painted every summer. If 7 gallons of paint are needed to paint 4 classrooms, how many gallons of paint are needed to paint...
- Q Surface area is:a. the amount of matter contained in a three-dimensional object.b. the area covering the surfaces of a three-dimensional object.C. the amount of space occupied by a three-dimensional object.d....
- Q A local bank offers an investment option with a simple interest rate of 3.60% per annum. If you invest$3200.00, how much interest will you earn in 7 years?a. $967.68b. $806.40c....
- Q Find the average rate of change of g(x) = -x + 5x+1 from x=2 to x = 7,
- Q Solve this problem by using a two order system.A man invests $5,200, part at 4% and the balance at 3%. If his total income for the two investments is $194,...
- Q Decide whether the sampling method could result in a biased sample. Explain your reasoning. A representative of a mall surveys every fifth person walking into an electronics store to ask...
- Q Tony invested his savings in two investment funds. The $6000 that he invested in Fund A returned a 3% profit. The amount that he invested in Fund B returned a...
- Q McKenna plans on attending a four-year university that costs $16,000 per year.Her parents have agreed to contribute $2,000 each year.Her grandparents have a college savings account that will be worth...
- Q (a) Complete the square by writing - 16-11 in the form (x-h) + k. Note: the numbers hand k can be positive or negative.
- Q Danielle and her family are discussing how to pay for her college education. The cost of tuition at the college that Danielle wants to attend is $12,000 per year. Danielle's...
- Q Charles's pay varies directly with the number of words he writes for Two Cities Magazine. The first story he wrote was 4,929 words and he was paid $345.03. How much...
- Q Lupita deposited $5,000 into a savings account that earns 2% interest compounded annually. Rounded to the nearest cent, how much interest will Lupita have earned after 48 months?The answer is...
- Q The mass of a textbook is approximately 0.00165 metric ton. How is this number written inscientific notation?F 165 x 10^-5G 1.65 x 10^-3H 16.5 x 10^-4J 0.165 x 10^-2
- Q John is 5 years older than Mary. In 10 years, twice John's age decreased by Mary's age Is 35, and John's age will be twice Mary's current age. Find their...
- Q James is investing $15,000 in the bank. The investment has an interest rate of 6% compounded monthly. After ten years, how much will James have made?The answer is $Make sure...
- Q Frank earns $40,000 one year and receives a 6% raise in salary. What is his new salary?Frank's new salary is $. (Simplify your answer.)
- Q A guy wire that is used to support a pole is attached at a height of 55 ft and at an angle of 62.1 above the ground. How far from...
- Q A kitchen is shaped like a rectangle with dimensions of 11(1/2) ft by 9(1/2) ft. The floor of the room is made of square tiles with a side length of...
- Q A principal is ordering pizza for a school pizza party. He knows that 9 pizzaswill feed 25 students. If there are 300 students in the school, how manypizzas will he...
- Q Ahmad and his wife are each starting a saving plan. Ahmad will initially set aside $650 and then add $135 every month to the savings. The amount A (in dollars)...
- Q In a given year, residents of a country spent approximately $50.4 billion on their pets. Of this amount, $18.9 billion was for veterinarian bills. What percent of the total was...
- Q State the order and type of each transformation of the graph of the functionf(x) = (5(x - 1))3 - 2 as compared to the graph of the base function.right 1...
- Q Three sources of finan-cial aid are government grants, private scholarships,and the colleges themselves. Susan, a financial aiddirector of a private college, surveyed the records of100 sophomores and found the following:49...
- Q The fox population in a certain region has a continuous growth rate of 6 percent per year. It is estimated that the population in the year 2000 was 9900.(a) Find...
- Q At the movie theater all snacks are priced the same, and all movie tickets are priced the same. Jaden, Ben, and Amal bought four snacks and three movie tickets, costing...
- Q The Kuiper Belt is estimated to be about 3, 000, 000 meters wide. Which value represents the estimated width of the Kuiper Belt, in meters, in scie3.0 x 10 meter30...
- Q 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...
- Q 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...
- Q Mercury is 57,000,000 km from the sun. Neptune is 4.5 x 10? km from thesun. What is the difference between Mercury's and Neptune's distancefrom the sun?4.443 x 10?4.43 x 1084.443...
- Q 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...
- Q 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...
- Q Simplify the expression1/x + 3x + 2 - 1/x-3x - 4and give your answer in the form ofP/QYour answer for P is:Your answer for Q is :
- Q Tuition for one year at a state university is about $13,500.Stephen would like to attend this university and will savemoney each month for the next 5 years. His grandparents will...
- Q Four expressions are shown in the box.Expression 1: 3.4 x 105Expression 2: 8.7 x 10Expression 3: 2.1 x 106Expression 4: 9.5 x 10Which expression represents the largest value?Expression 1Expression 2Expression...
- Q Solve the equation3/x+1 - 3/2 = 8/3x+3
- Q 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...
- Q In ?MNO, the measure of ?0-90, MN = 27 feet, and OM = 20 feet. Find the measure of ?M to the nearest degree.
- Q Multiply and simplify:x - 2x - 8/x - 16*x - 25/x + 7x + 10Numerator preview:Denominator preview:Enter the numerator and denominator separately in the boxes below. If the denominator is...
- Q Multiply and simplify:4d/w. 3w/2rBe sure to use parentheses as needed when entering your answer.
- Q 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...
- Q Simplify the expression5/x2+1/x + xand give your answer in the form off(x)/g(x)Your answer for the function f(x) is:Your answer for the function g(x) is:
- Q Garrison deposited $480 in an account that earns 3% interest compounded annually. How much interest will the account earn after 72 months?
- Q 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...
- Q In ?STU, 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.
- Q 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...
- Q 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...
- Q Suppose you deposit $4000 at 8% interest compounded continuously. Find the average value of your account. during the first 4 years.
- Q 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 $
- Q 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...
- Q 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...
- Q 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...
- Q 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...
- Q 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...
- Q 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=104-2x-2...
- Q In Exercises 1-4, find the indicated measure. 1. area of a circle with a radius of 6.8 feet2. area of a circle with a diameter of 19.2 centimeters3. radius of...
- Q 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...
- Q 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....
- Q Divide and simplify:x + 4/3x + 12/ x + 5/8x + 40Enter the numerator and denominator separately in the boxes below. If the denominator is 1, enter the number 1....
- Q (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...
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