Basic Math Questions and Answers

A farmer wants to build a fence around his rectangular field. In addition, he wants to divide it in half with a fence perpendicular to the longer side of the rectangular field so that it becomes two smaller squares. If the total length of the fence is 420 feet, what is the length of the shorter side of the rectangular field? A. B. C. D. E. 30 feet 40 feet 50 feet 60 feet 70 feet

Use the basic proportion necessary. P 100 to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if B What is 61 % of 220?

The loudness of sound in decibels perceived by the human ear depends on the intensity levels according to (H) Find the decibel level when I is 100, 000, 000 times Io ___ 10 log

Find the time required for an investment of 6,000 dollars to grow to 15,000 dollars at an interest rate of 8% per year, compounded monthly. Give your answer accurate to 2 decimal places. years.

Solve the following proportion. 41/123=29/x

Sometimes the immune system makes a mistake, and instead of attacking infections it begins to attack part of the body. When this happens, what is the result? A. autoimmune diseases B. immune diseases C. automatic diseases

Use the basic proportion necessary. P 100 = A to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if B 120% of is 240.

From the information given, find the quadrant in which the terminal point determined by t lies. Input I, II, III, or IV. (a) sin(t) < 0 and cos(t) < 0, quadrant (b) sin(t) > 0 and cos(t) < 0, quadrant (c) sin(t) > 0 and cos(t) > 0, quadrant (d) sin(t) < 0 and cos(t) > 0, quadrant

is the first response to give when someone is hurt, or an accident occurs. A. First aid B. CPR C. Medical treatment

What is the exact volume of a solid that is formed with a square base, aligned with the center of the solid on the x-axis and the edge of the base following the function g(x) = x² + 2 on the interval [0, 4]? Note: Round to the nearest tenth.

Question 6 of 15, Step 1 of 1 Use the basic proportion P 100 = Correct A to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if necessary. B 85% of 80 is Keyboa

Change the following decimal to a percent. Write your answer in percent form. 0.4

If a truck travels 356 miles on 20 gallons of gas, how many miles per gallon does it average (to the nearest tenth)?

If fruits and vegetables make up half of your plate, what two other food groups should make up the other half of your plate? A. milk and cheese B. meat, or protein C. grains and proteins

In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.01 margin of error and use a confidence level of 95%. Complete parts (a) through (c) below. a. Assume that nothing is known about the percentage to be estimated. n = 9604 (Round up to the nearest integer.) b. Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less. n= (Round up to the nearest integer.)

4. A pool contained 32 gallons of water thirty minutes after it began to rain. Twenty minutes later (fifty minutes after the rain began to fall), the pool contained 40 gallons of water. Assume it rained at a constant rate (in gallons per minute). a) Determine the equation of the linear relation (in slope-intercept form) with x = the # of minutes it had been raining, and y = the # of gallons of water in pool. Sketch the graph. b) What do the slope and the y-intercept of your line indicate? c) Use your equation to determine how much water the pool will contain two hours after the rain began to fall. d) Use your equation to determine when the pool will overflow (the pool holds up to 100 gallons).

Which of the following statements is not true in reference to obesity? A. Obesity increases the risk of heart disease. B. The number of people who are obese is very small. C. Many obese people struggle to lose weight and keep it off. D. The diagnosis of obesity is based on a specific calculation.

Suppose that the state motor vehicle licensing fee is figured by multiplying the cost of your car by 0.133. Change 0.133 to a percent. Write your answer in percent form.

The textbook for a course in Basic Mathematics costs $58. There are 43 students in the class. Find the total cost of the textbooks for this class.

Write the following comparison as a ratio reduced to lowest terms. 9 feet to 18 yards

People who have been abused will often experience feelings of A. happiness, eagerness, and freedom B. depression, poor concentration, and worthlessness C. rage, frustration, and impatience

In a study of the accuracy of fast food drive-through orders, Restaurant A had 282 accurate orders and 57 that were not accurate. a. Construct a 90% confidence interval estimate of the percentage of orders that are not accurate. b. Compare the results from part (a) to this 90% confidence interval for the percentage of orders that are not accurate at Restaurant B: 0.152 <p<0.223. What do you conclude? 135 <p< 202 (Round to three decimal places as needed.) b. Choose the correct answer below. **** O A. Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate. OB. The lower confidence limit of the interval for Restaurant B is higher than the lower confidence limit of the interval for Restaurant A and the upper confidence limit of the interval for Restaurant B is also higher than the upper confidence limit of the interval for Restaurant A. Therefore, Restaurant B has a significantly higher percentage of orders that are not accurate. OC. Since the upper confidence limit of the interval for Restaurant B is higher than both the lower and upper confidence limits of the interval for Restaurant A, this indicates that Restaurant B has a significantly higher percentage of orders that are not accurate. O D. No conclusion can be made because not enough information is given about the confidence interval for Restaurant B.

Change the following fraction to a percent rounded to the nearest tenth. Write your answer in percent form. 8 7

3 Joaquin takes 3- hours to take a test; Sherrie takes 1 4 and reduce if possible. hours. Calculate the time difference in hours. Express your answer in mixed number form. 8 100

When children start to abuse drugs, their drug usage usually increases as they grow older, peaking when they are A. young adults B. middle-aged C. elderly

Use the basic proportion necessary. P 100 B = to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if Answer How to enter your answer (opens in new window) 2 Points 54% of what number is 353? Keypad Keyboard Shortcuts

Which one of the following may be detrimental to your ability to get into college or get a job in the future? A. traveling C. reading for fun B. posting on social media D. exercising

To buy a car you can pay $16,000 cash or put down $3000 and make 24 monthly payments of $592.55. How much would you save by paying cash (to the nearest hundredth)? Answer How to enter your answer (opens in new window) 2 Points Keypad Keyboard Shortcuts

The 1906 San Francisco earthquake had a magnitude of 8.3 on the Richter scale. At the same time in South America there was an eathquake with magnitude 4 that caused only minor damage. How many times more intense was the San Francisco earthquake than the South American one?

Convert the units of measure as indicated. 272 oz = lb

City Cabs charges a $2.75 pickup fee and $1.75 per mile traveled. Diego's fare for a cross-town cab ride is $29.00. How far did he travel in the cab? Diego traveled miles. (Round to the nearest whole number.)

Which statement about weight loss is NOT true? A. Fad diets are not a healthy way to lose weight. B. Losing weight too fast is not healthy. C. Losing weight will not decrease your health risks. D. You don't have to exercise strenuously to lose weight.

The existence of a Fixed Point is: A) Let g e C[a, b] be such that g(x) = (a, b), In addition, if g' exists on (a, b) and that a constant 0 <k < 1 exists with lg'(x) s k, for all x = (a, b), then the function g has a unique fixed-point p in [a, b]. B) Let ge C[a, b] be such that g(x) e [a, b]. In addition, if g' exists on (a, b) and that a constant 0 <k < 1 exists with lg(x) s k, for all x € (a, b). then the function f has a unique fixed-point p in [a, b]. OC) Let g = Cla, b) be such that g(x) = [a, b]. In addition, if g' exists on (a, b) and that a constant k> 1 exists with lg'(x)] ≤ k, for all x = (a, b). then the function g has a unique fixed-point p in [a, b]. D) Let g e C(a, b) be such that g(x) = [a, b]. In addition, if g' exists on (a, b) and that a constant k> 1 exists with lg'(x)] s k, for all x € (a, b). then the function g has a unique fixed-point p in [a, b]. E) Let g e Cla, b] be such that g(x) e [a, b]. In addition, if g' exists on (a, b) and that a constant 0 <k < 1 exists with lg'(x) k, for all x € (a, b). then the function g has a unique fixed-point p in [a, b].

If a truck travels 316 miles on 24 gallons of gas, how many miles per gallon does it average (to the nearest tenth)?

According to a weather report, there is a 46% chance it will rain tomorrow. What is the probability that it will not rain tomorrow? The probability that it will not rain tomorrow is (Type a decimal answer.)

D. Roberto is an insurance agent who sells two types of policies: a $50,000 policy and a $100,000 policy. Last month, his goal was to sell at least 57 insurance policies. While he did not meet his goal, the total value of the policies he sold was over $3,000,000. Which of the following systems of inequalities describes x, the possible number of $50,000 policies, and y, the possible number of $100,000 policies, that Roberto sold last month? A. x+y<57 B. x+y>57 C. x+y<57 D. x+y> 57 50,000x+100,000y < 3,000,000 50,000x+100,000y > 3,000,000 50,000x+100,000y > 3,000,000 50,000x+100,000y < 3,000,000

A scientist conducted an experiment to measure the effect of apple cider vinegar on blood sugar levels. The scientist randomly selected 200 adults and randomly assigned them to two subject groups. The first subject group received an apple cider vinegar supplement, and the second subject group received a placebo. The scientist was aware of which subjects were assigned to each group. This experiment is know which treatment group each subject is in. because

Which of the following recursive formulas represents the same arithmetic sequence as the explicit formula an = −2+(n-1)3?

Write the indicated sum in decimal form rounded to the nearest thousandth, if necessary. 27/100+ 25.1 + 1/4

Proportion A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 340 babies were born, and 272 of them were girls. Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born. Based on the result, does the method appear to be effective? <p<(Round to three decimal places as needed.)

Question 14- of 23 Step 1 of 1 Change the following fraction to a percent. Write your answer in percent form. Round your answer to the nearest tenth of a percent, if necessary. 56

Use the basic proportion necessary. 100 to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if B 749 is. % of 133

Which of the x-values are solutions to the following inequality? 38 < x Choose all answers that apply: A B x = 25 x=40 x=120

Solve 7 sin ¹ (5) x= = 4 for the four smallest positive solutions

From 19,000 graphing calculators produced by a manufacturer, an inspector selects a random sample of 525 calculators and finds 6 defective calculators. Estimate the total number of defective calculators out of the 19,000. There are about defective calculators out of the 19,000. (Round to the nearest whole number as needed.)

Change the following percent to a decimal. 50%

Write the following ratio as a fraction in lowest terms. 28 to 21

question 2 of 15, Step 1 of 1 Use the basic proportion P 100 to solve the following problem for the unknown quantity. Round your answer to the nearest tenth, if necessary. % of 80 is 80.

Express the function h(x) = 2e+6 in the form fo g. If f(x) = 2e, find the function g(x). Your answer is g(x)=

Write the following rate as a unit rate. 56 miles to 4 hours