Basic Math Questions and Answers

A rectangular prism is shown. How will doubling the length of each edge affect the surface area of the prism? A. The surface area will be 2 times the original surface area. B. The surface area will be 3 times the original surface area. C. The surface area will be 4 times the original surface area. D. The surface area will be 6 times the original surface area.

Jenna and Dom get married. They start off with $7,000 in their bank account. Jenna, being the bread-winner of the family, puts $250 per month into the account so their kids can go to college one day. Write the equation to model the amount of money m, that will be in the account after t months. How much will be in the account after their third year of marriage (and second child, might I add)?

In case the ball doesn't reach Martice, in the previous problem, Coach Kelly will place Nick at the midpoint. Where is Nick on Coach Kelly's grid? Coach Kelly drew his football team's next play on a coordinate grid. He placed Jon at (6,3). He will be passing the ball to Martice at (-6,9). (6, 1) (0, 6) (6, -1) (-6, 6)

A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour. Write and solve an equation to find the number of hours of labor spent repairing the car. Equation:____= 648.45 t =

Calculate the following using dimensional analysis. A chef is adding a new dessert for his restaurant. For every 100 servings of the dessert, he will need a bag of flour. How many bags of flour will he need per week if he is open six nights per week for dinner, and he expects to serve dessert to 40 guests per night?

Graham uses a hot water bottle on an injury to his back he incurred playing basketball. He fills the bottle with water that is a temperature of 100°F. After 25 minutes, Graham finds that the bottle has cooled and he stops using it.

A group of students stood in a circle to play a game. The circle had a diameter of 22 meters. Which measurement is closest to the circumference of the circle in meters?

Isabella filled her pool with water at a constant rate. The table compares the remaining volume of water left to fill the pool (in liters) and the time since Isabella started filling the pool (in minutes). How fast did Isabella fill her pool?

Hassan invests some money into an account that pays 6% interest per year and the rest in an account that pays 4% per year. He invests twice as much money into the account that pays 6% interest than the account that pays 4% interest. If he earns $120 in interest after one year, how much money was in each account?

A test score of 48.4 on a test having a mean of 66 and a standard deviation of 11. Find the z-score corresponding to the given value and use the z-score to determine whether the value is significant. Consider a score to be significant if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth if necessary. A. -17.6; significant B. 1.6; not significant C. -1.6; significant D. -1.6; not significant

A shipping company sells large boxes and small boxes. The dimensions of the large box are 3 times the dimensions of the small box. How does the volume of the large box compare to the volume of the small box? A. The volume of the large box is 3 times the volume of the small box. B. The volume of the large box is 6 times the volume of the small box. C. The volume of the large box is 9 times the volume of the small box. D. The volume of the large box is 27 times the volume of the small box.

State whether the data described below are discrete or continuous, and explain why. The numbers of people looking at a website at different times Choose the correct answer below. A. The data are continuous because the data can only take on specific values. B. The data are continuous because the data can take on any value in an interval. C. The data are discrete because the data can only take on specific values. D. The data are discrete because the data can take on any value in an interval.

-4.24x² +3.72x + 1.94 = 0 is solved, the two values of the unknown z are and

A park is studying how its population of deer grows over time. The regression line of their data is y= 15x+1200, where z represents the number of years since the study began and y represents the number of deer. What does the slope of the regression line represent? A. The deer population will reach 1, 200 in 15 years. B. The deer population grows by 1,200 every 15 years. C. There were 15 deer in the park at the beginning of the study. D. For every 1 year, the deer population increased by an average of 15. E. For every 1 year, the deer population increased by an average of 1,200.

In a recent awards ceremony, the age of the winner for best actor was 31 and the age of the winner for best actress was 51. For all best actors, the mean age is 43.7 years and the standard deviation is 6.3 years. For all best actresses, the age is 34.9 years and the standard deviation is 12.3 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain. Since the z score for the actor is z = (Round to two decimal places.) and the z score for the actress is z = the had the more extreme age.

Four snail friends are out racing. They are able to go fast at the beginning, but they become tired and their distances from the starting point are modeled by the following equations: k(x) = -log(x) + 3, 3 g(x) = log(x) + log(x-1), h(x) = log(2x) - log(x+1), and f(x) = 2log(x). When will the slowest one get to 5 miles if x represents time in minutes? a) About 5.27 hours d) About 1.90 years b) About 5.28 hours e) Answer is not there c) About 5 hours

Lena's paycheck this week was $21.56 less than her paycheck last week. Her paycheck this week was $125.48. How much was Lena's paycheck last week?

For her grandfather's birthday, Valeria is baking cupcakes. With every egg she can find, she can bake 6 cupcakes. Write an equation that shows how the total number of cupcakes Valeria can bake, y, depends on the number of eggs she can find, x.

The function W(d) = 0.112d approximates the amount, in centimeters, of water that results from d cm of snow melting. Find the amount of water that results from snow melting from depths of 16 cm, 30 cm, and 67 cm. 16 cm of snow melting produces___cm of water.

Meiling and Jackie are playing a game of chance with a six-sided number cube. The sides of the cube are numbered 1 to 6. Meiling scores a point each time she rolls a number greater than 4. Which would give Jackie an equally likely chance for a point? A Jackie rolls a number that is greater than 2. B. Jackie rolls a number that is less than 2. C. Jackie rolls a number that is greater than 3. D. Jackie rolls a number that is less than 3. OE. Jackie rolls a number that is less than 4.

Use function notation to rewrite the function y = 25x using d as the function name. The function written in function notation is

Simplify the following expression. 64 -1/3

2. On a number line, which of the following is the greatest distance? The distance between -3 and 0. The distance between -1 and 2. The distance between -2 and 2. The distance between -3 and 0. All distances are equal. The distance between -2 and 2. The distance between -1 and 2.

Currency is used to claim a person's status in society make the exchange of goods or services easier

Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. Write an inequality showing how many bags (b) they would have to sell to make a profit of at least $3832. F 5.50b3832 G 5.50b> 3832 H 5.50b3832 J 5.50b> 3832

Perform the following mathematical operations, and express the result to the correct number of significant figures. a. 6.022 x 1023 x 8.50 × 10² b.(6.6262x 10-34 x 2.998 x 108)/(1.71 x 10 -9) c. 1.388 x 10-2 +1.24 x 10-3 +1.947 x 10-¹ d.(1.00866 1.00722)/(6.02205 x 1023) e.(9.875 x 1029.847 × 10²)/(9.875 x 10²)x 100=(100 is exact)

Solve for x. -3/(x-2)=6/(2x-4)+1 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

Solve -7.8=-2.6t. #18 i t = Which statement shows the correct justification for the step used to solve the equation? O Divide each side by -2.6. OMultiply each side by 2.6. O Divide each side by 1.6. O Multiply each side by -1.6.

Using the function defined by f(x) = -8x³ +16 − 3x² + x^9+ 13x², which of the following most accurately describes f? (A) The function is a polynomial of degree 3 with leading coefficient -8 (B) The function is a polynomial of degree -8 with leading coefficient 3 (C)The function is a polynomial of degree 9 with leading coefficient 1 (D) The function is a polynomial of degree 9 with leading coefficient -8

An ice block is in the shape of a rectangular prism. Danny cuts the block so that each side is its 1/2 original length. How do the volumes of the ice blocks compare? A. The new volume is 1/2 the original volume. B. The new volume is 1/4 the original volume. C. The new volume is 1/6 the original volume. D. The new volume is 1/8 the original volume.

Calculate the following using dimensional analysis. A farmer has 52 cows that he must milk daily. If each cow produces, on average, 50 lb of milk per day,and 8 pounds of milk is 1 gallon of milk, how many gallons of milk will the farmer have after 3 days of milking? gallons

Calculate the following using dimensional analysis. A swimmer does a full stroke every 1.5 seconds. He completes a 50-meter race in 1 minute. How many full strokes did he make per meter?

When written in scientific notation, the result of the following arithmetic expression has a digit term (a number between 1 and 10) and an exponential term (a power of 10 signifying the order of magnitude). Calculate: (7.340x10¹8) (4.618x106)/(7.519x10-17) When performing calculations involving powers of ten, use the EE or EXP key on your calculator to enter the power of ten. Do not use the 10x key.

Find the x- and y-intercepts of the graph of x -6y = 32. State your answers as whole numbers or as improper fractions in simplest form.

In the lab, Latoya has two solutions that contain alcohol and is mixing them with each other. Solution A is 10% alcohol and Solution B is 50% alcohol. She uses 600 milliliters of Solution A. How many milliliters of Solution B does she use, if the resulting mixture is a 40% alcohol solution? Number of milliliters of Solution B:

Suppose a bathroom scale registers 2 lb with no load. An object is weighed repeatedly on this bathroom scale, and each results in a reading of 117 lb. What is the probable true weight of the object in pounds (lb)?

The midpoint of AB is M(-5,0). If the coordinates of A are (-8, 5), what are the coordinates of B?

A spherical balloon with radius r inches has volume V(r) 4/3πr3. Find an expression that represents the amount of air required to inflate the balloon from a radius of r inches to a radius of r +1 inches. (Express your answer in terms of and r.)

Graph the equation y = x² + 12x +32 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.

Describe how the graph y = 2(3) - 2 can be transformed to the graph y = 4(3)-x + 4 The graph has a vertical shift up 6 units, a reflection over the y axis and a vertical stretch by a factor of 2. The graph has a vertical shift down 6 units, a reflection over the y axis and a vertical stretch by a factor of 2. The graph has a vertical shift down 4 units, a reflection over the x axis and a vertical stretch by a factor of 4. The graph has a vertical shift up 4 units, a reflection over the x axis and a vertical stretch by a factor of 4.

Find the coordinates of the image. Ry-axis (S) Ry-axis (S) = (Type an ordered pair.)

A circular swimming pool at an apartment complex has diameter 18 meters and depth 2.5 meters throughout. The apartment manager needs to get the interior of the swimming pool painted. The paint she wants to use covers 40 square meters per can. How many cans of paint will she need to purchase? You may use 3.14 for π. 5 4 11 10

A survey of 70 college students was taken to determine where they got the news about what's going on in the world. Of those surveyed, 20 got the news from newspapers, 28 from television, and 8 from both newspapers and television. Construct a Venn diagram and determine the cardinality for each region. Use the completed Venn Diagram to answer the following questions. How many got the news from only newspapers? n(Newspapers only) = 12 How many got the news from only television? n(Television only) =

The winning height for the men's Olympic high jump has been increasing each year. A regression line of the data is y = 0.23x +70.8. where y is the height of the men's winning jump in inches and x is the number of years since the first Olympics in 1896. Which statement best describes the meaning of the y-intercept of the regression line? A. The winning men's high jump height of the first Olympics was about 0.23 inches. B. The winning men's high jump height of the first Olympics was about 70.8 inches. C. Each year the winning men's high jump height is predicted to increase by 0.23 inches, D. Each year the winning men's high jump height is predicted to increase by 70. 8 inches.

a. When 37.579 and 29.2 are divided, the answer should be based on Enter the answer with the correct number of digits. 37.579 29.2 = b. When 29.2 is subtracted from 37.579, the answer should be based on Enter the answer with the correct number of digits. 37.57929.2 =

Now determine the cost for the additional data you used. Your plan allowed 2.00 GB data. You used 2.59 GB. You therefore you do owe money for extra data usage. Each additional MB of usage costs 2 cents, or $0.02. Assume 1 GB 1000 MB. Enter your value as a decimal number, dollar and cents. For example, enter $13.45 as 13.45.

According to a local medical facility, 3 out of every 5 patients it serves are treated on an outpatient and are not admitted overnight. The medical facility serves 175,000 patients per year. Based on this statement, a total of ______________ patients are admitted to the facility medical facility serves each year.

The discriminant of a quadratic function is 0. What does this mean about the solutions? 1 real solution, 1 imaginary solution 2 real solutions 1 real solution 0 real solution, 2 imaginary solutions

Write the quadratic function in standard form. y = -2(x-3)² -3 (fill in the blanks with the correct coefficient. If the coefficient has a "minus sign" in front make the number negative that you enter. Do not enter a "+" for positive numbers.)

An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 200 grams of an alloy that contains 44% copper with 56 grams of pure copper. Answer the questions below. Do not do any rounding. (a) How many grams of copper are in the resulting mixture? (b) What percentage of the resulting mixture is copper?