Math Questions

What is the correct first step to solve this system of equations? 4x - 3y = -10 2x + 3y = 4 Add the 2 equations together Subtract the 2 equations Multiply the 2 equations by 3 Divide the first equation by 4

At snack time, there were seven bags of raisins, nine bags of pretzels, and five bags of sunflower seeds. Find the probability of each situation below. Write you answer as a reduced fraction using the / symbol, ex. 1/2. a. Mara chose one bag at random and got pretzels, Since she is allergic to wheat, the teacher let her put the pretzels back, and then, she randomly chose a bag of raisins. What is the probability that she would first choose pretzels and then raisins? b. Mara completed all of her work for the week and was rewarded with two snacks. What is the probability that she chose two bags of sunflower seeds?

Let A be a non-singular matrix of order 3 such that det. (A) = 5 and B is also a non-singular matrix satisfying A-¹B²+ AB = 0. The value of det. (A6- 2A4B + A²B²) is equal to (1) 0 (2) 5^6 (3) 2^3.5^6 (4) 10^6

You buy 100 file folders for $7.72. How much are you paying for each file folder? A. $0.06 B. $0.13 C. $12.95 D. $0.08

Suppose 3 out of 10 game pieces reads "Free candy bar". Which answer below would correctly find the probability that you win exactly 1 free candy bar with 4 game pieces if the events are independent? 4C₁ (.3)¹ (7)³ 10C3 (-25)¹(.75)³ 10C3 (.25) ³ (.75)¹ 1C₁ (-3)¹ (7)³

There are 1.5 mg of iron in 8 ounces of apple juice. If 18 mg are recommended for the RDA for iron, the number of ounces that contain the RDA is a. 27 ounces b. 64 ounces c. 96 ounces d. 144 ounces

Carlos used the following units of electricity for twelve months: 504, 519, 576, 321, 256, 101, 76, 75, 127, 289, 367, and 511. His average unit consumption is a. $88.50 b. $310.17 c. $504.00 d. $511.00

Solve the equation for solutions over the interval [0°, 360°). tan 2θ+9 tan θ+5=0

You want to buy a stuffing mix. There are three brands of stuffing mix available. (You have a 10¢ off coupon for Cook Top Stuffing mix.) Cook Top Stuffing Mix 6 oz. for $1.49 or 12 oz. for $2.99 Saltridge Farms Stuffing Mix 6 oz. for $1.79 Cousin Ben's Stuffing Mix 6 oz. for $1.29 The brand that is the best buy is a. Cook Top 6 oz. b. Cook Top 12 oz. c. Saltridge Farms 6 oz. d. Cousin Ben's 6 oz.

You buy 6 lbs. of apples for $7.20. How many lbs. of apples would you have been able to buy with $1.00? A. 1.2 lbs. C. $0.83 B. 0.83 lbs. D. $1.20

A loan of $40,000 is made at 8% Interest, compounded annually. After how many years will the amount due reach $110,000 or more? (Use the calculator provided if necessary.) Write the smallest possible whole number answer.

Is the density of a gaseous substance likely to be larger or smaller than the density of a liquid or solid substance at the same temperature? Why? Smaller, because gases are mostly empty space. Larger, because solids and liquids have larger particles. Smaller, because gas particles have less mass. Larger, because gases take up more space.

Mary is fertilizing her garden. The garden is in the shape of a rectangle. Its length is 15 feet and its width is 13 feet. Suppose each bag of fertilizer covers 39 square feet. How many bags will she need to cover the garden?

For the real-valued functions f(x)=√2x+4 and g(x)=x-1, find the composition f.g and specify its domain using interval notation. (f.g)(x) = Domain of f g :

the following is most likely the next step in the series? a11 A12, b21, B22, c31, C32 A. d33 B. C33 C. D41 D. d41 E c33 F. D33

Write the complex number z=-2-4i in trigonometric form (sometimes called polar form). Express the angle θ in radians, where 0≤θ<2π. Do not round any intermediate computations, and round the values in your answer to the nearest hundredth.

Select all of the following types of measurements that are measures of 2-dimensions. (2-dimensional measurements will have a units² attached to them. There may be more than one answer, select all answers.) Perimeter Volume Length Surface Area Area

A motorboat takes 4 hours to travel 128 miles going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range, mean, variance, and standard deviation of the sample data set. 12, 20, 23, 14, 13, 17, 22, 16, 14, 15 The range is 11 (Simplify your answer.) The mean is 16.6. (Simplify your answer. Round to the nearest tenth as needed.) The variance is 14.7. (Simplify your answer. Round to the nearest tenth as needed.) The standard deviation is (Simplify your answer. Round to the nearest tenth as needed.)

If six oranges cost $5.20, what would be the price of one orange? (Round to the nearest cent.) A. $0.15 C. $8.67 B. $0.87 D. $1.15

If you need 2 cups of zucchini for a recipe that feeds 12 people, you will need cups of zucchini to feed 15 people with the same recipe.

Which of the following is/are signified by lim x→af(x) = ∞? This means that f(a) = ∞ The value of f(x) becomes infinite when x approaches a. The value of a goes out to infinity, when it gets close to a. The limit exists and equals infinity. As a approaches a, the value of f(x) increases without bound.

Consider the equation of circles S₁ : x² + y² + 24x - 10y + a = 0 S₂: x² + y² = 36 Which of the following is not correct. (1) Number of non-negative integral values of 'a' such that S₁ = 0 represents a real circle 170 (2) If S₁ 0 and S₂ = 0 has no point in common then number of integral values of a is more than 49 (3) If S, = 0 and S₂ = 0 intersect orthogonally then a = 36 (4) If a = 0 then number of common tangents to the circles S₁ = 0 and S₂ = 0 are 3.

Find the direction angle of the vector w=5i-3j. That Is, find the angle between 0° and 360° that w makes with the positive x-axis (measured counterclockwise), when w is in standard position. Do not round any intermediate computations, and round your answer to the nearest whole number.

A jet travels 3870 miles against the wind in 6 hours and 4710 miles with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the wind? Rate of the jet in still air: Rate of the wind:

The mass of a carbon atom is 1.994 x 10-23 grams. The mass of a hydrogen atom is 1.67 x 10-24 grams. What is the difference of their masses? A.0.324 x 10-24 grams B.1.827 x 10-23 grams C.1.827 x 10-24 grams D.0.324 x 10-23 grams

Which of the following actions provides you the best protection from a crime-related injury? Locking your car doors and staying in your car when your car breaks down. Hitchhiking your way home after your car breaks down. Intervening in a knife fight between two acquaintances. Refusing to give up your possessions to a person trying to rob you.

Gas mileage is the number of miles you can drive on a a gallon of gasoline. A test of a new car results in 370 miles on 20 gallons of gas. How far could you drive on 75 gallons of gas? What is the car's gas mileage?

If the roots of the equation x² - 6x = 27 are p and t, and if t < p, then p = 1/t t2 2t -t t+6

In the past month, Laura rented 4 video games and 6 DVDs. The rental price for each video game was $2.10. The rental price for each DVD was $3.80. What is the total amount that Laura spent on video game and DVD rentals in the past month?

The point (7,-4) is on the terminal arm of angle θ in standard position. a) Draw a sketch of angle θ. Be sure to label the side lengths and θ. b)Determine the exact values of sin θ, cos θ, and tan θ. c) State the value of θ, to the nearest degree.

Which statement best describes the difference between modality and format? The format used depends on the type of presentation, whereas the modality gives the purpose. The format is the way information should be processed by the five senses, whereas the modality is the way the information is organized. The modality used depends on the type of presentation, whereas the format gives the purpose. The modality is the way information is designed to be processed by the five senses, whereas the format is the way information is organized.

The volume of a right circular cone is 367 units³. If the height of the cone is 12 units, what is the radius of the cone? 9 units 1 unit 3 units √3 units

How does paragraph 5 contribute to the development of the story? A It shows Ivan was trying to be brave. B It shows why the men make fun of Ivan. C It shows that Ivan does not care what the men think. D It shows that Ivan will not complete the lieutenant's challenge.

ΔCRV has side lengths that measure 10 centimeters, 12 centimeters, and 15 centimeters. Which of the following best describes this type of triangle? A. Scalene triangle B. Obtuse triangle C. Isosceles triangle D. Equilateral triangle

A blologist has a 3218-gram sample of a radioactive substance. Find the mass of the sample after six hours if it decreases according to a continuous exponential decay model, at a relative rate of 15% per hour. Do not round any intermediate computations, and round your answer to the nearest tenth.

An animal breathes approximately 30 times per minute. Part A: About how many seconds would it take to breathe one million times? Part B: How many minutes would it take to breathe one million times? Part C: How many hours would it take to breathe one million times? Part D: How many days would it take to breathe one million times? Part E: How many years would it take to breathe one million times? Part A: It would take seconds to breathe one million times. (Round to the nearest second as needed.)

The population of a certain bacteria can be modeled by the function P (t) = 2,000(1.034)t, where t represents the number of hours after an experiment has started. What does 2,000 represent in the function?

A principal of $1600 is invested at 8.75% interest, compounded annually. How many years will it take to accumulate $5000 or more in the account? (Use the calculator provided if necessary.) Write the smallest possible whole number answer. years

Write an equation in slope-intercept form for the line that passes through the given point (-1,-7) and is perpendicular to the graph of 3x +12y=-6.

What is the volume of a sphere with a radius of 41.8 in, rounded to the nearest tenth of a cubic inch?

Find the direction angle of the vector w=8i-4j. That is, find the angle between 0° and 360° that w makes with the positive x-axis (measured counterclockwise), when w is in standard position. Do not round any intermediate computations, and round your answer to the nearest whole number.

Solve, using a proportion. If 13 candy bars weigh 26 ounces, then 35 candy bars weigh ounces.

There are several statements in the table below. For each, determine whether it is a negation of this statement. The water temperature is 75°F. Statement Negation (Yes/No) The water temperature is 85°F. The water temperature is not 75°F. The water temperature is not 65°F. It is not the case that the water temperature is 75°F.

Mary starts dong yard work at 4:30 P.M. She spends 1 hour and 25 minutes 2 points mowing the grass and 55 minutes pulling weeds. At what time does she finish her yard work? How much time does she spend on yard work? *

Jerome has exemptions of $7,500 for dependents. His deductions include $2,400 in allowable medical expenses, and $450 for damage to his home caused by a hailstorm. Jerome's taxable income if he has an income of $47,900 is a. $10,350 b. $37,550 c. $40,400 d. $58,250

Monica's checkbook register balance is $456.98. She has written checks in the amounts of $10.00, $14.95, $6.07, and $109.10. She has made a deposit of $30.00. Her new checkbook balance is a. $104.05 b. $170.05 c. $316.86 d. $346.86

Solve the equation by factoring. 9x² +21x-8=0

Let θ be an angle in quadrant I such that tan θ=7/4 Find the exact values of cos θ and csc θ

The length of a rectangular box is 2 times its height, and its width is 3 in more than its height. The volume of the box is 130 in calculator to find the height of the box. Round your answer to two decimal places.