Basic Math Questions and Answers

Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number of pairs of socks purchased, and let y represent the number of blouses purchased. Which equation models the purchases she made with $43.92? x+y = 15.98 x+y= 43.92 43.92x-2.99y = 12.99 2.99x+12.99y = 43.92

An internet provider charges a $150 set-up fee and a $70 monthly fee. Find the cost C(t) of having a contract with this provider for t months. If a person has paid $1130 to the internet provider, how many months has he had a contract with them? Find the cost C(t) of having a contract with this provider for t months. C(t)= (Simplify your answer.)

Convert 96°F to degrees Celsius. If necessary, round your answer to the nearest tenth of a degree. Here are the formulas. C= (F-32) F=C+32

The state of Michigan recorded an all-time high snowfall of 355.9 inches during the winter of 1978-79. Its lowest snowfall of 81.3 inches was recorded during the winter of 1930-31. How much more snowfall did Michigan receive during the winter of 1978-79 than in 1930-31?

For a ride on a rental scooter, Dante paid a $2 fee to start the scooter plus 12 cents per minute of the ride. The total bill for Dante's ride was $9.92. For how many minutes did Dante ride the scooter? minutes X 5 P

Frank invests $2,500 in an account that has an annual interest rate of 5.4% compounded continuously. Hannah invests $3,000 in an account that has an annual interest rate of 3.2% compounded quarterly. Which of the following statements is true when comparing the amount of money in the two accounts after 10 years? After 10 years Hannah has about $164 more than Frank. After 10 years Frank and Hannah have the same amount of money in their accounts. After 10 years Frank has about $164 more than Hannah. After 10 years Frank has about $500 more than Hannah.

Graph r(x) = -8. Use the graphing tool to graph the function.

The tangent line to the graph of y = g(x) at the point (4, 3) passes through the point (9, 4). Find g(4) and g'(4).

A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Each car holds 5 students and each bus hold 45 students. If x represents the number of cars and y represents the number of busses determine which of the following systems of equations model this scenario. x+y=195 7x + 5y = 45 x+y=7 5x + 45y = 195 x+y = 45 5x + 7y = 195 x+y = 745 x + 5y = 195

Using a calculator, simplify the following to the ten-thousandths place: A) log(768) B) In (135) 2.8853 4.9052 C) log4(225) 3.907 D) log (225) 5.4161

Is this equation an identity? 19p+ 16 = 2p + 17p + 16 yes no

Write the inequality using interval notation and illustrate the inequality using the real number line. -4≤x≤8

The population of Winnemucca, Nevada, can be modeled by P=6191(0.98)' where t is the number of years since 1990. What was the population in 1990? 6191 By what percent did the population change each year? [Select]

Determine if the following relation is a one-to-one function. S={(-6, -6), (4,4), (3,7), (7,3)} Is S a one-to-one function? Yes No

Use the Remainder Theorem and the Factor Theorem to determine whether (x+3) is a factor of the polynomial f(x) = 2x³ + 6x²+x+3. O It is not a factor because f(-3) = 0. O It is a factor because f(-3)-0. O It is a factor because f(3) = 0. It is not a factor because f(3) = 0.

How much water must be evaporated from 32 ounces of a 7% salt solution to make an 8% salt solution? To obtain a solution that is 8% salt,ounce(s) of water must be evaporated. (Simplify your answer)

Find the inverse of the one-to-one function. f(x) = 6x+5

The following table shows worldwide sales of a certain type of cell phone and their average selling prices in 2012 and 2013. Year q(p) = 2012 Selling Price ($) 395 Sales (millions) 702 2013 335 1,050 (a) Use the data to obtain a linear demand function for this type of cell phone. (Let p be the price, and let q be the demand). 29p 5 +2993 Use your demand equation to predict sales if the price is lowered to $235. 1630 ✔ million phones (b) Fill in the blank. For every $1 increase in price, sales of this type of cell phone decrease by 8 IVIT I X million units.

Given f(x) = 32x-3 +1 and g(x) = 4x, what is the x value(s) where f(x)=g(x)? O x-1.067 and x = 10 O x-0.267 and x -2.5 Ox=2 Ox-1.2 and x = 3.1

Ellie needs more than 10 packs of thread to make friendship bracelets for her classmates. She already has 6 packs of thread. She models this situation with the inequality 6 p> 10, where p is a number of packs of thread. Which values in the set (4, 5, 6, 7) are solutions of Ellie's inequality? Show your work,

Solve the inequality, and write the solution set in interval notation if possible. Write numbers as simplified fractions or integers. |4w-5| +6<3

The 2015 senior class from Puma High School raised funds for an end of the year party at Club Sizzle. It costs $4,000 to rent out Club Sizzle plus $20 per student for food and drinks. If the senior class raised $11,000 how many students can attend the end of year party?

- Multiply using the distributive property. a. 3(90+5) = 3. c. 4(a + b) = 4. e. 7(y + 3) = g. s(6+x) = i. 8(5+ b) = = +3. +4. ||

Assume that the growth of the membership of a country club was linear from 1996 to 2000 with a membership of 167 in 1996 and a rate of growth of 729 per year. a. Write an equation for the membership P of this country club as a function of the number of years x after 1996. b. Use the function to estimate the membership in 2002.

Find the derivative of the function. f(x)= = 10 √√x + 8cos x Step 1 Rewrite the function f(x) using an exponential expression for the radical. f(x) = 10x. + 8cos x

A local hamburger shop sold a combined total of 481 hamburgers and cheeseburgers on Saturday. There were 69 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?

Solve for x. x2+x-2=0 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution."

Factor the polynomial f(x) = x5 + 2x³ - 8x² - 16 and find its real zeros using the Zero Product Property. f(x) = (x³ - 8) (x² + 2); real zero at x = 2 f(x) = (x - 2) (x²+2x+4) (2²-2), real zeros at z = 2, ± √2 f(x) = (x − 2)(x² + 4x + 4) (²+2): real zeros at x = -2( multiplicity 2), 2 f(x) = (x - 2) (x² + 2x + 4) (x² + 2): real zero at x = 2

Identify the equation as a conditional equation, a contradiction, or an identity. Then give the solution set. 3(8-8w)+2=-5w+3-19w Part 1 of 2 The equation is a conditional equation. a contradiction. an identity.

our final answer(s). The Toyota Camry and the Honda Civic were the top-selling passenger cars in the United States in 2016. Honda Civic sales were 22 thousand less than Toyota Camry sales, and 756 thousand of these two cars were sold. How many of each model of car were sold?

Solve for u. u²-6u+9=0 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution."

An employee has two options for positions in a large corporation. One position pays $13.30 per hour plus an additional unit rate of $0.95 per unit produced. The other pays $12.10 per hour plus a unit rate of $1.15. (a) Find linear equations for the hourly wages W in terms of x, the number of units produced per hour, for each option. option 1 W₁ = option 2 W₂ (b) Use a graphing utility to graph the linear equations and find the point of intersection. (x, y) = (

Given the parent function f(x) = x³, choose the function g(x) that first reflects f(x) over the x-axis and then shifts f(x) up by 2 and left by 1. g(x) = (x + 1)³ +2 g(x) = -(x + 1)³ +2 g(x) = -(2-1)³ + 2 g(x) = -(x - 1)³ - 2

Which polynomial has a zero at x=5, a zero with multiplicity two at x=-1, two imaginary zeros, and a y intercept at (0,4)? O f(x) = (x - 1)(x + 1)(x + 5) (x² - 4) O f(x) = (x + 1)²(x - 5) (x²+4) O f(x) = -(x + 1)(x - 1)(x - 5) (x² + 4) O f(x) = (x - 1)²(x + 5) (x² + 1)

The distance from Boston, Massachusetts, to Phoenix, Arizona, is approximately 1,690 mi. Estimate to find how long it would take to drive from Boston to Phoenix if you average 58 mi./hr. 0 20 1 C₂

Trent can deliver his newspapers in 60 minutes. It takes Lois 20 minutes to do the same route. How long would it take them to deliver the newspapers if they work together? It will take minutes.

Ethanol fuel mixtures have "E" numbers that indicate the percentage of ethanol in the mixture by volume. For example, E10 is a mixture of 10% ethanol and 90% gasoline. How much E2 should be mixed with 5250 gal of E10 to make an E8 mixture? The amount of E2 needed is gal. X 5

Which of the following is not a law of exponents? When dividing like bases subtract the exponents 1 to any power is 1 Anything to the 0th power is 1, except 0 When adding like bases multiply the exponents.

Bradley High School was the winner in Saturday's track meet with the help of 20 individual-event placers earning a combined 68 points. A first place finish earns 5 points, a second place finish earns 3 points, and a third place finish earns 1 point. Bradley had a strong second-place showing, with as many second place finishers as first- and third- place finishers combined. If x = # of first-place finishers, y = # second-place finishers, and z = # of third-place finishers which of the following systems represents this scenario? Ox+y+z= 68 5x + 3y +z = 68 Z = x + y Ox+y+z= 20 5x + 3y + z = 68 y=x+z Ox+y+z=20 5x + 3y + z = 68 x = y + z

Write the equation of the line with slope 5 and y-intercept 1/2 The equation of the line is

A Hamilton multitouch watch was originally priced at $475. At a closing of the Alpha Omega Jewelry Shop, the watch is being reduced by What is the new selling price?

Critique Reasoning A cube-shaped box has a volume of 27 cubic inches. Bethany says each side of the cube measures 9 inches because 9 x 3=27. Is Bethany correct? Explain your reasoning. MP.3

Lacoste Middle School surveyed its student population about their favorite mobile apps. The 786 students who listed Facebook as their favorite app represented 32 fewer students than two times the number of students who listed Instagram as their favorite app. How many students listed Instagram as their favorite app? students

5 A triangle has sides 46 yards, 8 yards, and 38 yards. What is the perimeter (distance around the edges) of the triangle in yards? Express your answer in mixed number form, and reduce if possible.

Which of the following functions has a restricted domain? f(x) = 3x² - 2x + 1 f(x) = 3√2-1 f(x) = -32-3+1 f(x) = ln(x - 3)

Keiko, Jose, and Michael have a total of $97 in their wallets. Keiko has $7 more than Michael. Jose has 4 times what Michael has. How much does each have? Amount in Keiko's wallet: Amount in Jose's wallet: Amount in Michael's wallet: $ $

Lara rents a car while spending her vacation traveling in Chile. When she returns the car, she has driven 850 miles and used about 34 gallons of gas. If gas costs an average of $5.889 per gallon, estimate how much she spent on fuel.

Solve the following using substitution. If one solution, type that point in for both points. If no solution, type in "NS": y = 3x² - 4x -1 x + y = 5 Solution 1: x = Solution 2: x =

Jina received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.63 per pound. After buying the coffee, she had $28.22 left on her card. How many pounds of coffee did she buy?

Tempco Corporation has a machine that produces 11 baseball gloves each hour. In the last 2 days, the machine has run for a total of 30 hours. How many baseball gloves has Tempco produced? Number of baseball gloves