Basic Math Questions and Answers

The volume of blood in a person's body is proportional to body weight. A person who weighs 160 pounds has approximately 5 quarts of blood. Estimate the number of quarts of blood in a person who weighs 90 pounds. Complete the proportion below, where the ratios are volume of blood to body weight. x/?= ?/?

You invested $23,000 in two accounts paying 3% and 6% annual interest, respectively. If the total interest earned for the year was $1230, how much was invested at each rate'? The amount invested at 3% is $ 5000 The amount invested at 6% is $

Suppose that a regression equation for the relationship between y = weight (pounds) and x = height (inches) for men aged 18 to 29 years old is expressed with the following formula. Average weight = -250 + 6(Height) (a) Estimate the average weight for men in this age group who are 70 inches tall. (b) What is the slope of the regression line for average weight and height? Complete a sentence that interprets this slope in terms of how much average weight changes when height is increased by one inch. Average weight increases pounds for each 1-inch increase in height.

At Bob's Beef-N-Cheese Bowl, regular cheeseburgers cost $2 each and large cheeseburgers cost $3 each. After a game, a hockey team buys 20 cheeseburgers at a total cost of $48. How many of each type of cheeseburger do they buy?

Plot the point. Then plot the point that is symmetric to it with respect to (a) the x-axis; (b) the y-axis; (c) the origin. (4,7)

A regression equation for x = handspan (cm) and y = height (in.) is expressed with the following formula. Average height = 51.1 +0.7 (Handspan) (a) Interpret the slope of 0.7 in terms of how height changes as handspan increases. For each one-centimeter increase in handspan, average height increases 1 inch. For each one-centimeter increase in handspan, average height increases 0.7 inches. For each one-centimeter increase in handspan, average height decreases 0.7 inches. For each one-centimeter increase in handspan, average height decreases 51.1 inches. For each one-centimeter increase in handspan, average height increases 51.1 inches. (b) What is the estimated average height of women with a handspan of 25 centimeters? (Round the answer to one decimal place.) in (c) Molly has a handspan of 25 centimeters and is 76.1 inches tall. What is the prediction error (residual) for Molly? (Round the answer to one decimal place.) in

Solve the following equation by completing the square. x² + 6x=7 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is B. There is no solution.

Susan Marciano invested part of her $19,000 bonus in a fund that paid a 9% profit and invested the rest in stock that suffered a 4% loss. Find the amount of each investment if her overall net profit was $1,320. The amount invested at 9% is $ The amount invested in stock is $.

Find the absolute change and the relative change in the following case. The average sale of a house decreased from $329,000 in February 2008 to $184,000 in February 2013.- The absolute change is The relative change is %.

Find the real solutions of the equation. |2x+9|=9 Select the correct choice below and fill in any answer boxes within your choice. A. The solution set is. B. There is no real solution.

Solve the following inequality. Express the solution set in set-builder notation and interval notation. Graph the solution set. |2x-5| ≤15 Write the solution set in set-builder notation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is xxs B. The solution set is {x|sxs}. C. The solution set is {x|x is any real number). D. The solution set is {} or Ø.

Gracie went to Home Depot to buy wall-to-wall carpeting for her house. She needs 104.94 square yards for downstairs, 17.47 square yards for halls, and 172.59 square yards for the upstairs bedrooms. Gracie chose a shag carpet that costs $14.02 per square yard. She ordered foam padding at $2.82 per square yard. The installers quoted Gracie a labor cost of $5.82 per square yard in installation. What will the total job cost Gracie? (Do not round intermediate calculation. Round your answer to 2 decimal places.)

Choose an appropriate U.S. customary unit and metric unit to measure each item. (Select all that app Distance of a marathon 000 grams kilometers liters miles ounces quarts

A possible problem with open-ended or unequal intervals is that they a. do not permit the computation of midpoints b. are useful only for nominal-level variables c. can be used only with variables that have few scores d. cannot be used for interval-ratio level variables

Tricia, who is paid time-and-a-half for hours worked in excess of 40 hours, had gross weekly wages of $338 for 48 hours worked. What is her regular hourly rate?

Write an equation of the line that passes through (-5,1) and is parallel to the line defined by 2x+y=2. Write the answer in slope-intercept form (if possible) and in standard form (Ax+By=C) with smallest integer coefficients. Use the "Cannot be written" button, if applicable.

Use the point-slope formula to write an equation of the line that passes through (-2,-5) and (5, 3). Write the answer in slope-intercept form (if possible).

Given the graph of y=x², how do you obtain the graph y = 5(x+3)² +6? Choose the correct answer below. A. Shift the graph to the right 3 units, then stretch the graph horizontally by a factor of 5. Then shift the graph up 6 units. B. Shift the graph to the right 3 units, then compress the graph vertically by a factor of 5. Then shift the graph down 6 units. C. Shift the graph to the left 3 units, then stretch the graph vertically by a factor of 5. Then shift the graph up 6 units. D. Shift the graph to the left 5 units, then compress the graph horizontally by a factor of 3. Then shift the graph up 6 units.

Elisa Carsten noticed this advertisement: "This week only: $187.50 on all mattress sets! All sets marked down 25%." What is the regular selling price of a mattress set?

Write the equation in its equivalent logarithmic form. 9^4 = 6561 What is the equivalent logarithmic form of the equation?

Find all excluded values for the expression. That is, find all values of u for which the expression is undefined. u-7/ u²+u-56 If there is more than one value, separate them with commas.

Write an equation of the line that passes through (3,2) and is perpendicular to the line defined by x-3y=3. Write the answer in slope-intercept form (if possible) and in standard form (Ax+By=C) with smallest integer coefficients. Use the "Cannot be written" button, if applicable.

Steven wants to buy a $565 bicycle. Steven has no money saved, but will be able to deposit $30 into a saving account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give is sister $65 that he owes her. Write an equation that describes this situation. For how many weeks will Steven need to deposit money into his saving account before he can pay back his sister and buy the bike?

According to the Consumer Expenditure Survey, the average American household spent $6,372 on food in 2009. About two-fifths of that amount was spent on eating out at restaurants Calculate two-fifths of $6,372 to estimate the amount that was spent on eating out. Round to the nearest dollar. Answer: $

During a 4-month period, Jennifer made deposits of $412, $763, $1264, and $556. She wrote checks totaling $1128. If her beginning balance was $910, what was the balance in her account at the end of the 4-month period?

The United Nations claims India will overtake China as the world's most populous country within seven years. If China has 2.126 billion people and India has 1.805 billion people, what is the difference in population?

The number of visits to public libraries increased from 1.2 billion in 1996 to 1.6 billion in 2000. Find the average rate of change in the number of public library visits from 1996 to 2000. The average rate of change between 1996 and 2000 was

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a total weight of 53 kilograms. A delivery of 8 large boxes and 4 small boxes has a total weight of 133 kilograms. How much does each type of box weigh?

You are painting a room that is 14 feet long, 12 feet wide, and 8 feet high. On the walls of the room, there are two windows that are each 2 feet wide and 4 feet tall, and a door that is 4 feet wide and 7 feet tall. A gallon of paint covers 350 square feet. How many gallons of paint do you need to cover the 4 walls with one coat of paint, not including the windows and the door? (Round your answer up to the nearest whole number.)

2(x-3)=9-5(2x + 1) Select the correct choice below and, if necessary, fill in the answer box. A. The solution is B. The solution set is (-∞,∞). C. There is no solution.

Factor the following expression for the maximum power in a certain electrical circuit. (R + r)² − 3r(R + r)

The midpoint of AB is M(-2, 2). If the coordinates of A are (-8, -1), what are the coordinates of B?

x = 8, 1, 3, 3, 5 Find X to the nearest thousandth (3 decimal places).

Keshad gets paid $2,188 per month plus 7% of his sales. His brother earns $3,071 per month. For what amount of total sales will Keshad's monthly pay be higher than his brother's monthly pay? (Your answer should be accurate to 2 decimal places.)

In 2014, a high school stage collapsed in Fullerton, California, when 250 students got on stage for the finale of a musical production. Two dozen students were injured. The stage could support a maximum of 12,150 pounds. If the average weight of a student is assumed to be 150 pounds, what is the maximum number of students who could safely be on the stage?

Consider the function f(x) = -x² - 3x + 2. Step 1 of 2: Interpret the meaning of f(1) = -2.

Kimi Skuban deposits $2,000 at the beginning of each year into an Individual Retirement Account at Boise Bank. The account pays 7% compounded annually. How much will be in the account in 25 years?

Revenue R from the sale of x units of a product is found by multiplying the price by the number of items sold. (a) Factor the right side of R = 700x - x². (b) What is the expression for the price of the item?

Solve the following equation for n. P/2+A=2m-3n n= (Use integers or fractions for any numbers in the expression. Do not factor. Simplify your answer.)

Randi went to Lowe's to buy wall-to-wall carpeting. She needs 110.62 square yards for downstairs, 31.62 square yards for the halls, and 16172 square yards for the bedrooms upstairs. Randi chose a shag carpet that costs $14.81 per square yard. She ordered foam padding at $3.21 per square yard. The carpet installers quoted Randi a labor charge of $3.86 per square yard. What will the total job cost Randi? (Round your answer to the nearest cent.)

Solve the following formula for t. C = U(1+rt)

Sales records indicate that if Blu-ray players are priced at $250, then a large store sells an average of 14 units per day. If they are priced at $150, then the store sells an average of 28 units per day. Find and graph the linear demand function for Blu-ray sales. For what prices is the demand function defined? The linear demand function for Blu-ray sales is d= (Type an expression using p as the variable. Use integers or simplified fractions for any numbers in the equation.)

Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so it's employees' salaries keep up with inflation. At the end of the 1st year Mark will have made $65,000 dollars, What is the explicit function that represents Mark's salary? a. m(t) = .02* + 65000 c. m(t) = 1.02* + 66300 b. m(t) = 65000 (1.02)*-¹ d. m(t) = 0.98* * 65000

How many years will it take for an initial investment of $60,000 to grow to $90,000? Assume a rate of interest of 18% compounded continuously It will take about years for the investment to grow to $90,000.

A manufacturer has determined that the total cost C of operating a factory is C = 2x² + 60x + 200, where x is the number of units produced. At what level of production will the average cost per unit be minimized? (The average cost per unit is C/x.)

Geckos are lizards with specialized toe pads that enable them to easily climb all sorts of surfaces. A research team examined the adhesive properties of 7 Tokay geckos. Displayed are the toe-pad areas (in square centimeters, cm²) for this sample. What is the value of the interquartile range for these data?

A building worth $832,000 is depreciated for tax purposes by its owner using the straight-line depreciation method. The value of the building, y, after x months of use, is given by y=832,000-2300x dollars. After how many years will the value of the building be $638,800? The value of the building will be $638,800 after years. (Simplify your answer. Type an integer or a decimal.)

Edfinity really tries to help you out, and show you the fractions you are entering. If you want 2/(3*4) = 2/12, Edfinity's fraction helper will put in the fraction line when you type the slash, so you just make sure you have both 3 and 4 under that line. But when you see 2/3*4 written out, multiplication and division have the same order of precedence, so 2/3*4 means 3-4 or The same thing happens with addition and subtraction. 1-3+2 = 0 but 1-(3+2) = -4. In the box below, enter the number that is 2/3*4

Here are some more examples: (1+3)9 =36, (2*3)^2 = 6^2 = 36, 3^(2*2) = 3^4 = 81, (2+3)^2 = 5^2= 25, 3^(2+2) = 3^4 = 81 Scientific notation should be entered as a 10% - you would type this in as x*10^y and your computer does the formatting automatically. Try entering some of these forms to see how you can let Edfinity be your calculator. The "correct" result for this answer blank is 36, but Edfinity will recognize any calculation which equals 36 as correct.

You can enter this as sqrt(7), or as 7^(1/2). This is because Edfinity understands functions like sqrt (square root) and also knows that roots can be taken using exponents. Note, exponents can be entered with a ^ (caret), which is above the 6 on your keyboard. You could also compute on your calculator and enter the value you get. When entering decimal approximations like this, be sure to give at least five significant digits (significant digits start with the first non-zero digit). So, 2.64 will be marked wrong but 2.6457 will be marked right.