Basic Math Questions and Answers

Sam started saving money for a down payment on a car. He first put $460 in his savings envelope and then added $60 every week. Choose the answer that BEST describes: the amount of time Sam has been saving money. a constant - units: weeks a constant- a variable - a variable - units: dollars per week - a rate units: dollars per week - a rate units: weeks

Round to the nearest hundredth, if necessary. Complete the statement: 160 fl oz = qt

A washer and a dryer cost $600 combined. The cost of the washer is three times the cost of the dryer. What is the cost of the dryer?

Approximate the number using a calculator. 1.9 e 1.9 (Round to three decimal places.)

Determine the number of solutions; -28 = -7(3x +4) + 21x No Solution One Solution Infinite Solutions

Reuben rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 86 cents for each mile driven. Reuben had to pay $191.23 when he returned the truck. For how many miles did he drive the truck? miles X 5 ?

Shawn has been hired as a sales associate Horizon Mobile Phone Company. He has two salary options. He can either receive a fixed salary of $750 per week or a salary of $400 per week plus an 8% commission of his weekly sales. Write a solution represents the dollar amount of sales that he must generate each week in order for the option with commission to be the better choice? x>$

#13 the nearest hundredth, if necessary. Complete the statement. Round 30.9 mm in

Convert 67°F to degrees Celsius. If necessary, round your answer to the nearest tenth of a degree.

Translate the sentence into a mathematical equation. The total variable cost of manufacturing x refrigerators is $180 per refrigerator times the number of refrigerators manufactured. Let C, represent the variable cost and x the number of refrigerators manufactured. C₁=0

#12. Round to the nearest hundredth, if necessary. Complete the statement. 4.1 kg OZ

A rectangle has sides that measure 2a + 12 units long and 82 + 6 units long. What are the expressions that represent the perimeter and area of the rectangle?

Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two successive approximations differ by less than 0.001. Then find the zero(s) to three decimal places using a graphing utility and compare the results. f(x) = x³ = cos x

Choose all true statements. All real numbers are rational numbers. Some rational numbers are natural numbers. No real numbers are irrational numbers. All whole numbers are integers. Some integers are natural numbers. No rational numbers are integers.

One kilometer is the same distance as 0.621 miles. Conversion factors show the relationship between two quantities and can be used to calculate one quantity if the other is known. If you wanted to determine the distance in miles, given a specific amount of km, what conversion factor should be used? Include a number and a unit in both the numerator and the denominator

What angle, in degrees, is equal to 5/12 of one revolution? SHOW WORK.

homewort Josie took a long multiple-choice, end-of-year vocabulary test. The ratio of the number of problems Josie got incorrect to the number of problems she got correct is 2:9. a. If Josie missed 8 questions, how many did she get correct? Draw a tape diagram to demonstrate how you found the answer. 2:18 C. GA colo 2 b. If Josie missed 20 questions, how many did she get correct? Draw a tape diagram to demonstrate how you found the answer. 2:9 C What ratios can we say are equivalent to 2:9?

A total of 519 tickets were sold for the school play. They were either adult tickets or student tickets. There were 69 more student tickets sold than adult tickets. How many adult tickets were sold?

Maria got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 8 cents per yard. If after that purchase there was $28 left on the card, how many yards of ribbon did Maria buy?

What is the first step to solving the equation |2x+1| -5=7? Divide by 2 on both sides. Add 5 to both sides. Split the equation into two separate equations. Subtract 7 from both sides. Subtract 1 from both sides.

Yesterday, Ivan went on a bike ride. His average speed was 9 miles per hour. Today, he went on another ride, this time averaging 12 miles per ho days, he biked for a combined total time of 11 hours. Let x be the number of hours he biked yesterday. Write an expression for the combined total number of miles he biked in the two days.

An electric board determines its monthly bills for residential customers by charging a base price of $14.00 plus an energy charge of 10.34 cents for each kilowatt-hour (kWh) used. Write an equation for the monthly charge y (in dollars) as a function of x, the number of kWh used.

Solve for v. v²-8v+16=0 If there more than one solution, separate them with commas. If there is no solution, click on "No solution."

Rick's lumberyard has 460 yd of fencing with which to enclose a rectangular area. If the enclosed area is x yards long, express its area as a function of its length.

A DVD-rental company has 10,500,000 subscribers, an increase of 140% from five years ago. Find the number of subscribers five years ago.

Water drips from a faucet at a rate of 41 drops/minute., Assuming there are 15,000 drops in a gallon, how many minutes would it take for the dripping faucet to fill a 1-gallon bucket? Round your answer to the nearest whole number.

Let f(x) = 9x³ - 12x² - 31 and let g(x) = 3x - 1. Find f(x)/g(x) 3x²-3x - 1 3x³ + x² + 2x + 22 3x²-3x-1-33²1 3x²-3x - 3²1

Consider the polynomial function: P(x) = 2x³ - 11x² + ax - 40 If x+4 is a factor of this polynomial, what is the value of a? a=40 a-4 a=86 a=76

1/Factor the following equation: y = x² - 4. Identify the x- intercepts, the y - intercept, and domain and range x- intercepts /y-intercept/domain / range / increasing/decreasing intervals. y = x² - 4.

A bank loaned out $18,000, part of it at the rate of 6% per year and the rest at 14% per year. If the interest received in one year totaled $2000, how much was loaned at 6% How much of the $18,000 did the bank loan out at 6%?

On a map, the endpoints of a straight fence are located at A(4,12) and B(8,22). Lisa plans to install a gate in the fence and wants the gate's hinges to be the same distance from both ends of the fence. At what point on the map will the gate hinges be placed? A (0,2) B. (2,5) C. (6,17) D. (12,34)

A manufacturing company that produces prerecorded DVDs finds that the total daily revenue R for selling z items at p dollars per item is given by R(x) = 10.5x 0.05x² Factor a from each term on the right side of the equation to find the formula that gives the price p in terms of x. Then, use it to find the price they should charge if they want to sell 100 DVDs per day.

Determine whether y is a function of x. x² + y² = 4 Yes, y is a function of x. No, y is not a function of x. It cannot be determined whether y is a function of x.

Find an equation of the line through the given pair of points. (-2,-9) and (-7,-6) The equation of the line is

Eliza went to the store and bought 3 lbs of apples at $1.99 per lb, two loaves of bread at $.89 per loaf, a box of cereal at $3.99 per box, and a gallon of milk at $3.19 per gallon. If Eliza paid with $20, how much change did she receive? $5.70 $14.93 $5.07 $14.39

Find a linear equation that expresses the relationship between the temperature in degrees Celsius C and degrees Fahrenheit F. Use the fact that water freezes at 0°C (32°F) and boils at 100°C (212°F).

Find the one-sided limit (if it exists). lim X→(1/2) + 13x² tan πx Step 1 The sign of the value of x² is always ---Select--- f(x) = 13x² tan лx at any point x is ---Select--- so the sign of the value of the function that of tan X.

When Ibuprofen is given for fever to children 6 months of age up to 2 years, the usual dose is 5 milligrams (mg) per kilogram (kg) of body weight when the fever is under 102.5 degrees Fahrenheit. How much medicine would be usual dose for a 18 month old weighing 19 pounds? milligrams Round your answer to the nearest milligram.

Lee Jenkins worked the following hours as a manager for a local Pizza Hut: 13 3/4,,3 1/4, ,8 1/4 and 3 1/2. How many total hours did Lee work?

Ryan and Maria are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and packages of crocus bulbs. Ryan sold 12 bags of windflower bulbs and 5 packages of crocus bulbs for a total of $217. Maria sold 5 bags of windflower bulbs and 10 packages of crocus bulbs for a total of $225. Find the cost each of one bag of windflower bulbs and one package of crocus bulbs.

The school that Paul goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 9 adult tickets and 10 child tickets for a total of $255. The school took in $135 on the second day by selling 5 adult tickets and 5 child tickets. What is the price each of one adult ticket and one child ticket?

Veronica's Violin Village sold 1,500 violins in the month of July. In the month of August they decreased their sales by 165 violins. By what percent did they decrease their monthly sales of violíns from July to August? Their monthly sales decrease by

A nurse mixes 60 cc of a 70% saline solution with a 30% saline solution to produce a 36% saline solution. How much of the 30% solution should he use?

Jessie enjoys running every day for exercise. On Monday, he ran 3.30 miles. On Tuesday, he ran 3.09 miles and on Wednesday he ran 2.98 miles. On what day did Jessie run the farthest?

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint (Hint. Let (x,y) be the unknown endpoint Apply the midpoint formula, and solve the two equations for x and y.) midpoint (-21,4), endpoint (-19,8) The other endpoint is

Let v(t) represent an object's velocity, in feet per minute, at time t minutes. Which of the following is the best interpretation of v'(1) = 6? The velocity of the object after 1 minute is 6 feet per minute. The displacement of the object during the first minute is 6 feet. The total distance traveled by the object during the first minute is 6 feet. The acceleration of the object after 1 minute is 6 feet per minute squared.

A veterinarian has the following pricing policy for grooming pets: $25 for pets 15lbs and under, $35 for pets over 15lbs and 50lbs or less and then $35 plus $2 for each additional pound over 50lbs. How much do you pay total if you have a 12lb cat, 44lb dog and 59lb dog?

Determine whether the graph of the function has a vertical asymptote or a removable discontinuity at x = -1. Graph the function using a graphing utility to confirm your answer. f(x) =x² 1/X + 1 vertical asymptote removable discontinuity

In June, the Wright family started saving for a trip to Florida. The Wrights expect their vacation to cost $6500. They deposit $1200 in June and their deposit grows by 15% each month. How many months will it take the Wright family to save for their trip? 15 months 11 months 10 months 13 months

Given the polynomial functions j(x) and k(x), find j(x) - k(x). j(x)=x²- x k(x) = 2x³ + x² - 1 2x³ + x + 1 2x³ + 2x²-x-1 -r³+x-1 -2x³-x+1