Basic Math Questions and Answers

A new Youth Sports Center is being built in Hadleyville. The perimeter of the rectangular playing field is 320 yards. The length of the field is 8 yards less than double the width. What are the dimensions of the playing field?

Ellen is purchasing a used car. She is paying $89 down plus $128.57 per month for 36 months. The total amount paid for the car financed in this manner is a. $1,424.54 b. $4,628.52 c. $4,717.52 d. $7,832.52

(a) Find the five-number summary, and (b) draw a box-and-whisker plot of the data. 3 8 8 6 1 9 8 7 9 6 9 5 1 6 2 9 8 7 7 9 (a) Min = 1 (Simplify your answer.)

Solve the equation for exact solutions over the interval [0, 21). 7 cos²x+14 cos x + 7 = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type an exact answer, using as needed. Type your answer in radians. Use integers or fractions for any numbers in the express Use a comma to separate answers as needed.) B. The solution is the empty set.

A ball is thrown upward, with an initial velocity of 30 meters per second, at an angle of 61° with respect to the horizontal. The ball is thrown from a height of 6 meters off the ground. The horizontal distance x from the starting point and the height y above the ground of the ball / seconds after it is thrown are given by the parametric equations below. x=(vocosθ) t y=-4.9t² + (vosinθ)t + h Here vo is the initial velocity, 8 is the initial angle with respect to the horizontal, and h is the initial height. Use the equations to answer the following questions. (a) How long is the ball in the air before it first touches the ground? Do not round any intermediate computations. Round your answer to the nearest hundredth. seconds (b) What is the horizontal distance that the ball travels before it first touches the ground? Round your answer to the nearest whole number. meters

Rewrite this measurement with a simpler unit, if possible. 3.6 m² m Note: If you can simplify the unit at all, it may be possible to make more than one simplification. Be sure your final answer uses the simplest possible u

There are 5 roses in a vase of 13 flowers. The rest are dalsies. (a) What is the ratio of dalsles to roses? (b) What is the ratio of daisies to all flowers in the vase?

If pencils cost $2.40 for twelve, What is the unit price per pencil? A. $0.20 C. $0.05 B. $5.00 D. $2.00

The base of a 10-foot ladder is 4 feet from a building. If the ladder reaches the flat roof, how tall is the building? The height of the building is

David made $40,000 in taxable income last year. Suppose the income tax rate is 10% for the first $7500 plus 16% for the amount over $7500. How much inust David pay in income tax for last year?

When writing a check for $3,476.89, the words that should be written out are a. Three thousand b. Three thousand four hundred c. Three thousand, four hundred seventy-six dollars d. Three thousand, four hundred seventy-six dollars and eighty-nine cents

A student sets up and solves the following equation to solve a problem in solution stoichiometry. Fill in the missing part of the student's equation. (0.46__)( 1 mL/10^-3 L)( 1.36 g/mL)(1kg/10^3 g) = 0.63 kg

The temperature T (d) in degrees Fahrenheit in terms of the Celsius temperature d is given by T (d)= 9/5d+32. The temperature C (v) in degrees Celsius in terms of the Kelvin temperature v is given by C (v)=v-273. Write a formula for the temperature F (v) in degrees Fahrenheit in terms of the Kelvin temperature v. It is not necessary to simplify. F (v) = 0

Alexa randomly withdraws a card from a well shuffled standard deck of cards. What is the probability that the number on the card is a King or Queen? 1/13 11/13 2/13

A chemistry student needs 30.0 mL of chloroform for an experiment. By consulting the CRC Handbook of Chemistry and Physics, the student discovers that the density of chloroform is 1.48 g/cm3 . Calculate the mass of chloroform the student should weigh out. Be sure your answer has the correct number of significant digits.

Find the solution to the system by the substitution method. Check your answer. -x+3y = -27 3x - y = 33 The solution is. (Type an ordered pair.)

An employment agency specializing in temporary construction help pays heavy equipment operators $125 per day and general laborers $83 per day. If thirty people were hired and the payroll was $3624, how many heavy equipment operators were employed? How many laborers? The number of heavy equipment operators hired was The number of general laborers hired was

Use the remainder theorem to find P (3) for P(x)=2x-5x³+2x-3. Specifically, give the quotient and the remainder for the associated division and the value of P (3). Quotient = Remainder = P (3) =

Solve, using a proportion. If a 6-lb. turkey takes 120 minutes to cook, how long would a 9-lb. turkey take to cook?

The average adult heart pumps about 84. mL/s of blood at 72 beats per minute. Suppose you need to calculate how long it would take the average heart to circulate 7300. mL of blood. Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols.

What is the diameter of a sphere with a volume of 89110 cm³, to the nearest tenth of a centimeter?

Which of the following values of x makes the rational expression below equal to zero? x-3/x-9 A. 12 B. 9 C. 3 D. 6

There are 2.5 oranges per pour and 1.1 grapefruit per pound. With $50 you can buy 36 pounds of oranges or 45 pounds of grapefruit. If you have enough money to buy 37 pounds of grapefruit, how many oranges (to the nearest whole orange) could you buy instead? 116 74 90 30 33

A bicyclist heads east at 19 km/h. After she has traveled 24.2 kilometers, another cyclist sets out in the same direction going 30 km/h. About how long will it take the second cyclist to catch up to the first cyclist? A It will take the second cyclist 3.2 hours to catch up the first cyclist. B It will take the second cyclist 2.2 hours to catch up the first cyclist. C It will take the second cyclist 3.7 hours to catch up the first cyclist. D It will take the second cyclist 1.7 hours to catch up the first cyclist.

A person came to work at 8:30 AM, went out at 11:45 AM, had lunch, came in at 12:30 PM, and left work at 5:15 PM. The total number of hours worked by this person was a. 7 hours b. 7 hours, 15 min c. 8 hours d. 8 hours, 45 min

If Tamara walks 3.5 miles in 0.75 hour, how far will she walk in 1 hour if she walks at the same pace? A. 0.078 miles C. 1.29 miles B. 4.67 miles D. 4.3 miles

The years that a television show on a particular network won an award for best drama series are shown below. 1955 1971 1975 1983 1989 1993 2003 2005 2012 Determine the level of measurement of the data set. Explain your reasoning. What is the level of measurement of the data set? Explain your reasoning. A. Ratio. The data can be ordered and differences between data entries are meaningful, and a zero entry is an inherent zero. B. Ordinal. The data can be arranged in order, or ranked, but differences between data entries are not meaningful. C. Nominal. No mathematical computations can be made. D. Interval. The data can be ordered and differences between data entries are meaningful, but a zero entry is not an inherent zero.

The osmotic pressure exerted by a solution is equal to the molarity multiplied by the absolute temperature and the gas constant R. Suppose the osmotic pressure of a certain solution is measured to be 19. atm at an absolute temperature of 363. K. Write an equation that will let you calculate the molarity c of this solution. Your equation should contain only symbols. Be sure you define each symbol other than R.

Over the last three evenings, Jina received a total of 101 phone calls at the call center. The third evening, she received 4 times as many calls as the first evening. The second evening, she received 5 more calls than the first evening. How many phone calls did she receive each evening? Number of phone calls the first evening: Number of phone calls the second evening: Number of phone calls the third evening:

Solve the quadratic equation by the square root property. 6x²=24 The solution set is

Suppose the value R (d) of d dollars in euros is given by R (d)= 5/6 d. The cost P (n) in dollars to purchase and ship n purses is given by P (n)=55n+23. Write a formula for the cost Q (n) in euros to purchase and ship n purses. It is not necessary to simplify. Q(n) =

Uma uses 5 gallons of red paint for every 2 pints of green paint. What is the rate of gallons of red paint to 1 gallon of green paint? 20 gallons of red paint/1 gallon of green paint 10 gallons of red paint/1 gallon of green paint 8 gallons of red paint/1 gallon of green paint 5 gallons of red paint/1 gallon of green paint

The volume of a cylinder is 20 cubic inches. If the radius of the bases of the cylinders is tripled, what will the new volume be? (How is the radius of a cylinder related to the volume of a cylinder?)

The cost, y, of a frult drink is proportional to x, the number of fruit drinks. The constant of proportionality Is 3.25. Which will check that y is proportional to x? Graph y = 3.25 x and check that the graph is a straight line that goes through (1, 3.25). Graph y = 3.25 x and check that the graph is a straight line that goes through (0, 0). Graph x = 3.25 y and check that the graph is a straight line that goes through (0,0). Graph y = 3.25 x and check that the graph is a straight line that goes through (0, 1).

Deshaun wants to buy a bond that will mature to $4500 in eight years. How much should he pay for the bond now if it earns interest at a rate of 2.5% per year, compounded continuously?

Fill in the blank. To solve x² +6x=5 by completing the square, add___to both sides of the equation. To solve x² + 6x = 5 by completing the square, add to both sides of the equation.

There are 6 grams of fat per serving in granola. Each serving provides 180 calories. There are 9 calories of fat in each gram. The percentage of calories from fat in granola is a. 20% b. 30% c. 54% d. 67%

Joanne owns a brick home with a full value of $97,000. The coverage rate for her homeowners insurance is 0.325%. The cost of Joanne's homeowners insurance is a. $298.46 b. $315.25 c. $325.00 d. $3,152.50

The population of California is approximately 38,040,000. The population of Texas is about 2.606 x 107. What is the approximate total population of these two states? 40.646 * 107 40.646 × 106 6.410 × 107 6.410 × 1014

Substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place. S = 4LW + 2WH; S = 170, L= 7, W=5. (Surface area of a special rectangular box)

A vector w has initial point (0, 0) and terminal point (-3,-2). Write w in the form w=ai+bj.

The velocity of an object is the distance it travels per unit time. Suppose the cm velocity of a gliding bird is measured to be 197cm/s Calculate the time it will take S the bird to travel 3.7 m.

Which equation has the same solution as x² 13x + 3 = -7? (x+6.5)² = −52.25 (x − 6.5)² = 32.25 (x+6.5)² = 32.25 (x − 6.5)² = -52.25

A chemistry student needs 20.0 g of tetrahydrofuran for an experiment. By consulting the CRC Handbook of Chemistry and Physics, the student discovers that the density of tetrahydrofuran is 0.889 g cm-3 Calculate the volume of tetrahydrofuran the student should pour out. Be sure your answer has the correct number of significant digits.

Super fine 40-gauge copper wire has a diameter of only 0.080 mm and weighs only 44.5 g/km. Suppose a spool of 40-gauge wire weighs 245. g less after some wire is pulled off to wind a magnet. How could you calculate how much wire was used? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols. length of wire =

Suppose that f(x) is a continuous function with f(1) = -6 and f(5)= 6. Determine which choice best describes the following statement. "f(3) = 0 Always true Sometimes true and sometimes false Always false

A biologist has a 691-gram sample of a radioactive substance. Find the mass of the sample after two hours if it decreases according to a continuous exponential decay model, at a relative rate of 14% per hour.

Fill in the blank. To complete the square of x²-8x, add To complete the square of x²-8x, add (Type an integer or a simplified fraction.)

P (n), given below, is the price P in dollars for n grams of vitamins. P(n)=0.8n+5.2 Complete the following statements. Let P-¹ be the inverse function of P. Take x to be an output of the function P. That is, x= P (n) and n = P-¹(x). (a) Which statement best describes P-¹(x)? The amount of vitamins (in grams) for a price of x dollars. The price (in dollars) for x grams of vitamins. The ratio of the price (in dollars) to the number of grams, x. The reciprocal of the price (in dollars) for x grams of vitamins. (b) p-¹(x) = (c) P-¹(10.4) =

Suppose that the functions & and t are defined for all real numbers x as follows. s(x)=4x-3 t(x)=x-2