Basic Math Questions and Answers

1 point The density of copper is 8.963. If the mass of a copper plate as determined by a digital scale is 28.672 grams, what is the volume of the plate in cubic centimeters? Round to the nearest tenth. The volume of the copper plate is type your answer... cubic centimeters

In 2010, Spokane County in Washington state had a population of 471,221 with an area of 1764 square miles. Rounded to the nearest hundredth, what was Spokane County's population density in 2010? The population density for Spokane County in 2010 was type your answer...

y Henry has run 20 miles so far this week. If he intends to run more than 50 miles this week, write an inequality showing how many miles on average should he run on each of the 2 days remaining in the week? a) 20+ 2x ≤ 50 c) 20+ 2x > 50 b) 20-2x ≤ 50 d) 20-2x<50

Trey bought 2 pounds of mixed nuts to serve at a party. According to the packaging, 15% of the mixed nuts, by weight, are cashews. Trey wants to add cashews to the mix to increase the percentage to 25%. Which equation can be used to find the number of pounds of cashews Trey should add to the mix? A. 0.15(2 + x) = 0.25 + X B. 0.25(2 + x) = 0.3 + x C. 0.15(2 + x) = 0.25 D. 2(0.15 + x) = 0.25

The orbit of an asteroid is an ellipse with the Sun as a focus. If the center of the ellipse is at the origin, an approximate equation for the orbit is shown below, where x and y are measured in millions of miles. Find the largest possible distance across the ellipse. x²/5309 + y/4933 = 1 million miles (Simplify your answer. Round to the nearest million miles as needed.)

At Isaiah's Pancake House there are 66 dirty coffee mugs and 9 clean coffee mugs. What percentage of the coffee mugs at the pancake house are dirty? Write your answer using a percent sign (%).

If you were doing online research about the eating habits of groundhogs, what would be the BEST phrase to type into a search engine in order to get the most focused results? O groundhog habits B O groundhog diet O groundhog behavior a O groundhog habitat =

For part a, use the continuous compound interest formula, A(t) = Pet Suppose an investment account is opened with an initial deposit of $13,500.00 earning 7.1% interest compounded continuously. (Use the "$" symbol in your answers. Round to the nearest cent, if necessary.) a. How much will the account be worth after 15 years? b. How much will the account be worth after 15 years if it were compounded monthly instead?

Hooke's Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?

. Quadrilateral ABCD has vertices A(-1, -2), B(-1, 3), C(4, 3) and D(4, -2). It's dilated by a factor of 2 with the center of dilation at the origin. What are the coordinates of the resulting quadrilateral A'B'C'D"?

Avram borrows $14,500 at 5.4% simple interest to open a small business. His bank allows him 9 years to pay back the loan. A. How much simple interest will Avram have to pay on the loan? B. How much money will Avram have to repay in all?

At the start of the the day, Ben and Carla had a certain number of paper clips in each of their pencil cases. Together, they had a combined total of 40 paper clips. Ben used 5 paper clips before lunch, and Carla used 5 paper clips after lunch. The product of the number of paper clips they each have left in their pencil cases at the end of the day is no more than 216. Write an inequality where b represents the number of paper clips Ben had at the start of the day. If Ben has more paper clips than Carla, how many paper clips does Ben have? b²-45b+416 20 Ben has at least 13 paper clips. b²-45b+416 ≥0 Ben has at least 32 paper clips. b²-40b+391 ≥ 0 Ben has at least 17 paper clips. b²-40b+391 20 Ben has at least 23 paper clips.

Evaluate the following expressions. 2 8 3³ = (Type an integer or a simplified fraction.) 4-2-

A bag contains 2.5 pounds of sugar. A bigger bag contains 2.6 times as much sugar. What is the weight of the sugar in the bigger bag? A 4.1 pounds because 2.5 + 2.6 = 4.1 B. 7 pounds because 2.5 x 2.6 = 7.0 c. 6.5 pounds because 2.5 x 2.6 = 6.5 D. 5.1 pounds because 2.5 + 2.6 = 5.1

The sides of a rhombus have length 19 m. The longer diagonal has length 37 m. Find the area of the rhombus. . Write your answer as a number only. . Round answer to the nearest tenth (one decimal place) if needed.

x² Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by 400 Round your answer to the nearest whole number. 100 meters 50 meters 48 meters 40 meters (y-110²2 = 1, where the measurements are in meters. What is the width of the cooling tower at the base of the structure? 2,304

If a = i and b = -x, then find the value of ab² in fully simplified form.

Homework: Section 12.3 Homework An unusually wet spring has caused the size of a mosquito population in some city to increase by 9% each day. If an estimated 190,000 mosquitoes are in the city on May 8, find how many mosquitoes will inhabit the city on May 25. Use y = 190,000(1.09) where x is number of days since May 8 On May 25 there will be approximately mosquitoes. (Round to the nearest thousand as needed)

4. CONSTRUCTION A builder is hired to increase the size of a square patio by adding 2 feet along its width and 3 feet along its length. The new area of the patio will be 110 square feet. What are the new dimensions of the patio?

A holiday toy drive is putting together baskets for children. There are 84 toys and 56 books. If each basket will receive the same number of toys and books, how many baskets can be made?

The senior class is designing a graduation t-shirt. The t-shirt printing company charges a $120 printing fee plus an additional $10 per shirt. Since students will also have to help cover the printing fee, the t-shirts will be sold in advance and include a portion of the additional fee. Which graph correctly models the average cost per student when x students order a t-shirt?

If a = 2 + i and b = -4, then find the value of ab² in fully simplified form.

2, Benjamin purchased 6 pounds of meat at a discounted price. He decided to store the meat in a freezer to lengthen the amount of time the meat would last. Before storing the meat, he divided it into bags measuring 1/3 pound each. How many bags did he use for all the meat?

360 deer in a forest are tested for a disease. 16 of them test positive for the disease. The empirical probability that a randomly chosen deer will test positive is The empirical probability that a randomly chosen deer will test negative is (Note: Enter each answer as a fraction or as a decimal rounded to the nearest thousandth.)

Write an equation in general form for the quadratic function shown in the graph below: Select the correct answer below: O f(x) = x² + 2x - 3 Of(x) = x² - 4x+1 Of(x)=x²-3x+4 y 5+ 4 B+ a+ 1 -5 -4 -3 -2 -1 0 -1- -2- -3+ 4 -5+ +X 1 2 3 4 5

3. Nivyana and Ana are selling their apparel to earn money for a cruise. Knitted scarves are $50 each, and mittens are $25 per pair. They cannot make more than 30 scarves and mittens combined. They need to earn at least $1,000 to pay for the cruise and souvenirs. Part A: Write the inequalities that would represent the situation. Part B: Graph the system of linear inequalities and shade where the solutions are.

Which expression is equivalent to s +5+2s? 3s +5 08s O-28 Os+7 Submit Answer

Find the numerical value, if x = 3 and y = 1. 3x + 5y - 1 2y+3 3x + 5y - 1 2y +3 TO

The functions f(x) and g(x) are defined below. Which expression is equal to f(x) + g(x)? OA. 4x + 72 OB. 8x + 144 OC. 2x + 36 OD. +9 - 10r² + 90r 1,620 51 45 41 3 for x = 0 for x 0

Half the supplement of an angle is 15° less than twice the complement of the angle. Find the measure of the angle. The measure of the angle is

Graph the equation y =4x/3 To plot points, click on a point on the graph and drag it to the desired location. Provide your answer below:

A bank loaned out $19,500, part of it at the rate of 3% annual interest, and the rest at 2% annual interest. The total interest earned for both loans was $535.00. How much was loaned at each rate?

James has a mortgage of $96,500 at 4% for 20 years. The property taxes are $3,900 per year, and the hazard insurance premium is $764.50 per year. Find the monthly PITI payment (in $). (Round your answer to the nearest cent. Use this table as needed.) $

Select the correct answer. Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than 4 the number of questions Chris got right. Damien correctly answered 2 less than 4 the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true? . A Brian and Damien both answered 2 fewer questions correctly than Chris did. Brian and Damien both answered 4 more questions correctly than Chris did. Brian and Damien both answered 2 more questions correctly than Chris did. Brian and Damien both answered 4 fewer questions correctly than Chris did

Vocabulary Terms retrospective study observational study experimental units experiment treatment Definitions a. a study in which a treatment is applied and responses are observed b. a study in which data from the past is examined c. experimental conditions imposed on the subjects d. a study in which data is collected without anything being done to the subjects e. The people, animals or things on whom experiments are performed

Give the slope and the y-intercept of the line y = 10x + 9. Make sure the y-intercept is written as a coordinate. This means the y-intercept must be in the form (0, b). Slope = y-intercept =

We spent the day driving around to see some of our favorite places in the countryside. In this sentence, the word "countryside" is what part of speech? a.) Verb b.) Pronoun c.) Noun d.) Adjective

You pick 4 digits (0-9) at random without replacement, and write them in the order picked. What is the probability that you have written the first 4 digits of your phone number? Assume there are no repeats of digits in your phone number. Give your answer as a fraction.

The Saskatchewan Roughriders started a rainy day savings fund 5 years ago to help pay for stadium improvements. At the beginning of every quarter the team has deposited $23,000.00 into the fund, which has been earning 4.65% compounded semi-annually. How much money is in the fund today? There is in the fund today.

The standard deviation of the lengths of hospital stay on the intervention ward is 6.4 days. Complete parts (a) through (c) below. a. For the variable "length of hospital stay," determine the sampling distribution of the sample mean for samples of 61 patients. = The standard deviation of the sample mean is o- = days. *****

The width of a rectangle is 3 units less than the length. The area of the rectangle is 4 units. What is the length, in units, of the rectangle?

Use the LCD to rewrite 1/2 and 3/10 with the same denominator.

In a survey of 510 Latin music downloads in a certain year, 290 were regional Mexican/Tejano), 130 were pop-rock, 80 were tropical (salsa/merengue/cumbia/bachata), and 10 were urban (reggaeton). Calculate the following relative frequencies. (Round your answers to two decimal places.) (a) a music download was regional (b) a music download was either tropical or urban (c) a music download was not urban HINT [See Example 1.]

Hector must wear a blazer, dress shirt, and tie to school each day. In his closet, Hector has 10 more ties than blazers and 4 fewer dress shirts than ties. There are 980 possible combinations of blazer, dress shirt, and tie that Hector can wear. Which equation can be used to find the number of blazers, x, Hector has in his closet? OA. 3+16x² + 60x=980 OB. 3+14x² + 40x= 980 OC. 3+2x²2²-24x = 980 x3 +6x²-40x = 980 OD.

Jazelle Momba wants to visit her family in Zimbabwe in 2025, which is 6 years from now. She knows that it will cost approximately $8,300 including flight costs, on-the-ground costs, and extra spending money to stay for 4 months. If she opens an account that compounds interest at 6% semiannually, how much does she need to deposit today to cover the total cost of her visit? (Use Table 12.3.) (Round your answer to the nearest dollar.)

P is a polynomial defined by P(x) = 4x³ - 11x² - 6x +9. Two factors are (x - 3) and (x + 1). Rewrite the expression for P as the product of linear factors. : P(x) = (x-3) (x + 1) (

Malik deposited $1,050 in a savings account, and it earned $241.50 in simple interest after four years. Find the interest rate on Malik savings account.

Combining like terms with negative coefficients Combine the like terms to create an equivalent expression: 8t+1+(-4t) + (-6) Stuck? Review related articles/videos or use a hint Report a problem

A car salesperson's monthly income depends on the amount of her sales. Her monthly income is a salary of $1950 plus 9 % of her monthly sales. Write a linear equation for her monthly income for sales of x dollars. (I = mx + b).

One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another company charges $22.95 per month and $0.02 per minute for local calls. For what number of minutes of local calls in 1 month would the cost be the same? What is the cost?