Question

You have made scores of 81,76, and 82 on three quizzes. What is the least you can make on the fourth quiz to have an average of at least 80?

52

likes
262 views

Answer to a math question You have made scores of 81,76, and 82 on three quizzes. What is the least you can make on the fourth quiz to have an average of at least 80?

Expert avatar
Birdie
4.5
103 Answers
1. Calculate the sum of the three quizzes:
81 + 76 + 82 = 239

2. Let \( x \) be the score on the fourth quiz.

3. The average of the four quizzes should be at least 80:
\frac{239 + x}{4} \geq 80

4. Multiply both sides by 4 to clear the fraction:
239 + x \geq 320

5. Subtract 239 from both sides to solve for \( x \):
x \geq 81

Therefore, the least you can make on the fourth quiz to have an average of at least 80 is:
\text{Answer} \geq 81

Frequently asked questions (FAQs)
Question: What is the vertex form equation of a quadratic function that has a vertex at (-3, 2)?
+
Math question: What is the 5th derivative of the function f(x) = 3x^4 - 7x^3 + 2x^2 + 5x - 1?
+
What is the sum of angles in an equilateral triangle?
+
New questions in Mathematics
STUDENTS IN A CLASS LEARN ONLY ONE FOREIGN LANGUAGE. two-sevenths of the students learn German, half of the students learn Spanish, and the remaining six students learn Italian. what is the number of students in this class? detail your reasoning carefully.
3x+5y=11 2x-3y=1
Suppose the horses in a large stable, have a mean weight of a 807 pounds and a variance of 5776. What is the probability that the mean weight of the sample of horses with differ from the population mean by greater than 18 pounds is 41 horses are sampled at random from the stable round your answer to four decimal places.
The actual length of an object is 1.3 m . If the blueprint uses a scale of 1 : 12 , what is the length of the line on the drawing?
how many arrangement can be made of 4 letters chosen from the 8 letters of the world ABBSOLUTE
Calculate the value of a so that the vectors (2,2,−1),(3,4,2) and(a,2,3) are coplanar.
The Humane Society has asked for our help again this week. Currently they are charging $50 for an adoption fee. Unfortunately they just pulled this number out of the air and do not know why they are charging this amount. They would like to charge an amount that covers all the adoption costs – both the variable costs for adoptions as well as the fixed cost for the kennel portion of the Humane Shelter operations. We can help them by doing a breakeven analysis. During a client meeting we gathered these facts. There are 2 part-time employees that each earn $1000 per month. The utilities for the kennel area (water, electricity) are $200 per month. The average food cost for animals in the kennel is $800 per month. In addition, each animal that is adopted receives a rabies vaccination that costs $4 and is micro-chipped that costs $6. At the current cost of $50, how many animals must be adopted to break-even? What would break-even be at a $60 adoption fee? What would break-even be if the fee were lowered to $40? The newspaper has suggested that the Humane Society advertise to increase pet adoptions. The package that they have recommended costs $1000 for a very small ad run every day for a month. If the Humane Society does this extra advertising, how will it affect breakeven? Based on what you have learned about elasticity, what price do you recommend for the adoption fee?
3.24 ÷ 82
Convert 9/13 to a percent
Convert 5/9 to a decimal
Use a pattern approach to explain why (-2)(-3)=6
3+7
Determine a general formula​ (or formulas) for the solution to the following equation.​ Then, determine the specific solutions​ (if any) on the interval [0,2π). cos30=0
We have received our p&l statement back from accounts. The board has asked for an innovation hub. What items should we prioritise reviewing to decide if we can afford an innovation hub?
How to convert 45 kg into grams
nI Exercises 65-68, the latitudes of a pair of cities are given. Assume that one city si directly south of the other and that the earth is a perfect sphere of radius 4000 miles. Use the arc length formula in terms of degrees to find the distance between the two cities. 65. The North Pole: latitude 90° north Springfield, Illinois: latitude 40° north
Oi👋🏻 Toque em "Criar Nova Tarefa" para enviar seu problema de matemática. Um dos nossos especialistas começará a trabalhar nisso imediatamente!
(3b)⋅(5b^2)⋅(6b^3)
(3.1x10^3g^2)/(4.56x10^2g)
Find the number of liters of water needed to reduce 9 liters of lotion. shave containing 50% alcohol to a lotion containing 30% alcohol.