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
104 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)
What are the characteristics of a circle with an equation x^2 + y^2 = r^2? Explain its center, radius, symmetry, and how the equation relates to points on the circle.
+
What is the equation of an exponential function with a horizontal shift to the right of 3 units, a vertical shift upward of 2 units, a base of 2, and passing through the point (1, 4)?
+
What is the median of a set of numbers {2, 5, 7, 10, 12}?
+
New questions in Mathematics
a runner wants to build endurance by running 9 mph for 20 min. How far will the runner travel in that time period?
Imagine that you are in an electronics store and you want to calculate the final price of a product after applying a discount. The product you are interested in has an original price of $1000 MN, but, for today, the store offers a 25% discount on all its products. Develop an algorithm that allows you to calculate the final price you will pay, but first point out the elements.
Calculate the equation of the tangent line ay=sin(x) cos⁑(x)en x=Ο€/2
Given that y = Γ—(2x + 1)*, show that dy = (2x + 1)" (Ax + B) dx where n, A and B are constants to be found.
4X^2 25
The expected market return is 13,86% and the risk free rate 1%. What would then be the risk premium on the common stocks of a company which beta is 1,55? (in %, 2 decimal places)
"If three wolves catch three rabbits in three hours, how many wolves would it take to catch a hundred rabbits in a hundred hours?" The answer is the number of response units.
How many different ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a different experiment?
In a grocery store, when you take out 3 peppers and 4 carrots, there are 26 peppers and 46 carrots left. How many peppers and carrots were there initially?
Determine the reduced equation of the straight line that is perpendicular to the straight line r: y=4x-10 and passes through the origin of the Cartesian plane
A person decides to invest money in fixed income securities to redeem it at the end of 3 years. In this way, you make monthly deposits of R$300.00 in the 1st year, R$400.00 in the 2nd year and R$500.00 in the 3rd year. Calculate the amount, knowing that compound interest is 0.6% per month for the entire period. The answer is 15,828.60
sum of 7a-4b+5c, -7a+4b-6c
From 1975 through 2020 the mean annual gain of the Dow Jones Industrial Average was 652. A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 800? Assume the standard deviation is 1539
A function is considered exponential when it has a base with positive values greater than zero and different from one, where the exponent is an unknown. An important characteristic of exponential functions is that they show rapid growth or decay as an independent variable increases or decreases. Given the function 25^(x+3)=125, it is calculated that x has the value of
If the regression equation is given by 4x –y + 5 = 0, then the slope of regression line of y on x is
Let x be an integer. Prove that x^2 is even if and only if is divisible by 4.
The mass of 120 molecules of X2C4 is 9127.2 amu. Identify the unknown atom, X, by finding the atomic mass. The atomic mass of C is 12.01 amu/atom
-5x=115
t+72/t=-17
A plant found at the bottom of a lake doubles in size every 10 days. Yeah It is known that in 300 days it has covered the entire lake, indicate how many days it will take to cover the entire lake four similar plants.