at brent's school, the final grade for his u.s. history course is weighted as follows: tests: 30% quizzes: 50% homework: 20% brent has an average of 82% on his tests, 94% on his quizzes, and 50% on his homework. what is brent's weighted average? 75.3% 81.6% 74.8%
Brent's weighted average is 81.6%.
The weighted average can be described as a calculation that takes into account the varying degrees of importance of the numbers in a data set.
To calculate Brent's weighted average, you need to multiply each of his test scores by the weight for tests (30%), his quiz scores by the weight for quizzes (50%), and his homework scores by the weight for homework (20%), and then add all of those values together.
So first, multiply Brent's average test score of 82% by the weight for tests, which is 30%. That gives you 82% × 30% = 82% × 0.3 = 24.6%.
Then, multiply Brent's average quiz score of 94% by the weight for quizzes, which is 50%. That gives you 94% × 50% = 94% × 0.5 = 47%.
Then, multiply Brent's average homework score of 50% by the weight for homework, which is 20%. That gives you 50% × 20% = 50% × 0.2 = 10%.
Finally, add all of those values together: 24.6% + 47% + 10% = 81.6%.
Hence, Brent's weighted average is 81.6%.
Learn more about weighted average here: https://brainly.com/question/27984665
#SPJ4
Two customers spent the same total amount of money at a restaurant.
• The first customer bought 8 hot wings and left a $4 tip.
• The second customer bought 10 hot wings and left a $2.80 tip.
• Both customers paid the same amount per hot wing.
How much does one hot wing cost at this restaurant in dollars and cents?
Record your answer in the boxes below. Be sure to use the correct place value.
+/-
50 POINTS PLS ANSWER QUICK!!
Which of the following equations is not a linear equation?
(LOOK AT PHOTO!!!)
Answer:
I think that B is not a linear equation.
Step-by-step explanation:
Linear eqautions can not contain exponents in them. B has x to the power of 3 and y to the power of 2, ruling it out to be a linear equation.
I hope this helps! :)
\(\qquad\qquad\huge\underline{{\sf Answer}}\)
Linear equation has a degree of 1, that means the maximum power of a variable in a linear equation/expression should be 1. if an equation doesn't satisfy this condition then it's not a linear equation.
So, by Observing the choices, we get to the conclusion that the one which isn't a linear equation is B
\(\qquad \sf \dashrightarrow \: {x}^{3} - 5 {y}^{2} = 4\)
Here, the variables have greater powers tham one, and degree is 3. so it's the required Answer ~
a rectangular plot of land measures 650 metres in length and 240 in width find the area of the plot in ares
The land has a 1,560 ares area.
The area of a rectangular plot can be found using the formula: area = length × width. In this case, the length is 650 meters and the width is 240 meters.
To find the area in ares (1 are = 100 square meters), first calculate the area in square meters: area = 650 × 240 = 156,000 square meters. Then, convert square meters to ares: 156,000 ÷ 100 = 1,560 ares.
So, the area of the plot is 1,560 ares.
To learn more about : area
https://brainly.com/question/25292087
#SPJ11
For babysitting Nicole charges a flat fee of $7, plus $12 per hour. Write and equation for the cost, C, after h hours of babysitting. PLS HELP I WILL GIVE BRAINLIEST
Answer:
C=12h+7
Step-by-step explanation:
The total cost = 7 (flat rate) + 12h (12/hour)
Can anyone help with this question?
The line y = mx + c passes through the points ( 3 , 7 ) and ( 5 , 13 ).
What are the values of m and c ?
Answer:
Answer: c=-2 and m=3.
Step-by-step explanation: this is because the y intercept of the line given is -2 and if you find the slope is 3/1 or simplified to 3.
In 1978, the Social Security and Medicare rate combined was 6. 05%, up to $17. 700 earned.
a. Express the Social Security tax six) for 1978 as a piecewise function.
Ten years later, the percent had increased to 7. 51% and the maximum taxable income had
increased to $45,000. Express the Social Security tax s(x) for 1988 as a piecewise function.
c. If a person earned $50,000 in 1978, and $50,000 in 1988, what was the difference in the
Social Security and Medicare taxes paid?
The difference in the Social Security and Medicare taxes paid is 1767.5.
a. The Social Security tax s(x) for 1978 can be expressed as a piecewise function as follows:
s(x) = 0.0605*min(x,17700)
b. The Social Security tax s(x) for 1988 can be expressed as a piecewise function as follows:
s(x) = 0.0751*min(x,45000)
c. The difference in Social Security and Medicare taxes paid between 1978 and 1988 is calculated as follows:
Difference = 0.0751*min(50,000,45000) - 0.0605*min(50,000,17700)
Difference = 1767.5
This means that if a person earned $50,000 in 1978 and $50,000 in 1988, the difference in the Social Security and Medicare taxes paid is 1767.5. This is because in 1978 the maximum taxable income was $17,700 and the Social Security and Medicare rate was 6.05%, so the Social Security and Medicare taxes paid would be 0.0605*min(50,000,17700) = 1053.5. In 1988, the maximum taxable income was increased to $45,000 and the Social Security and Medicare rate was increased to 7.51%, so the Social Security and Medicare taxes paid would be 0.0751*min(50,000,45000) = 2821. The difference between these two amounts is 1767.5.
Learn more about Difference here:
https://brainly.com/question/29105366
#SPJ4
Please help! 420+69 I really need help. please answer.
Answer:
42069 bro, zxckvhkljwehiofndsf dzvzcx
Answer: the answer is 489
use calculus to find the area a of the triangle with the given vertices. (0, 0), (6, 1), (3, 7) a =
The area of the triangle is approximately 36.83 square units.
To find the area of a triangle using calculus, we can use the formula:
A = (1/2) ∫(x2 - x1)dy
Where x1 and x2 are the x-coordinates of the vertices, and dy is the change in the y-coordinate.
First, we need to find the equations of the lines that make up the sides of the triangle. The line between (0,0) and (6,1) has the equation y = (1/6)x. The line between (6,1) and (3,7) has the equation y = -2x + 13. The line between (3,7) and (0,0) has the equation y = (7/3)x.
Now we can use the formula to find the area of the triangle. We'll integrate from y = 0 to y = 1 for the first side, from y = 1 to y = 7 for the second side, and from y = 7 to y = 0 for the third side:
A = (1/2) ∫(x2 - x1)dy
= (1/2) ∫[(6x - 0) - (0 - 0)]dy from y = 0 to y = 1
+ (1/2) ∫[(13 - 2x) - (6x - 0)]dy from y = 1 to y = 7
+ (1/2) ∫[(0 - 0) - (7x/3 - 0)]dy from y = 7 to y = 0
= (1/2) ∫6xdy from y = 0 to y = 1
+ (1/2) ∫(13 - 8x)dy from y = 1 to y = 7
+ (1/2) ∫(-7x/3)dy from y = 7 to y = 0
= (1/2) [(3 - 0) + (49 - 8) + (-49/3 - 0)]
= (1/2) [(3) + (41) + (-49/3)]
= (1/2) [(147/3) + (123/3) + (-49/3)]
= (1/2) [(221/3)]
= 36.83
So the area of the triangle is approximately 36.83 square units.
To know more about calculus refer here:
https://brainly.com/question/30761130#
#SPJ11
in pentagon , units, is a right angle and .the length of segment can be expressed in simplest radical form as units. what is the value of ?
We cannot calculate the value of the angle in the pentagon with the given information
The given information is not sufficient to determine the value of the angle in the pentagon.
A pentagon has five sides and five angles, but the given information only provides the measure of one angle and the length of one side. To determine the measure of the remaining angles, we would need additional information about the pentagon, such as the length of another side or the measure of another angle.
Therefore, we cannot calculate the value of the angle in the pentagon with the given information.
Learn more about pentagon here
https://brainly.com/question/11759904
#SPJ11
Round 75.434 to the nearest hundredth
Solve.
4 - 2x = 10
A)-7
B)-3
C)0
D)3
Answer: The answer should be B) -3. To solve the equation you have to rewrite the equation.
i need help!! due in 8.25 at 11pm!!
15 points!!
Answer:
Hey there!
The equation is y=-3/4x+6. (Note the 3/4 is negative because the line has a negative slope.
Let me know if this helps :)
Answer:
\(\huge \boxed{y=-\frac{3}{4}x+6 }\)
Step-by-step explanation:
Two points are (0, 6) and (8, 0)
Finding the slope.
m = (y2-y1)/(x2-x1)
m = (0-6)/(8-0)
m = -6/8
m = -3/4
The y-intercept is 6.
y = mx + b
m = slope
b = y-intercept
y = -3/4x + 6
PLEASE ANSWER URGENT
Answer:
D
Step-by-step explanation:
John wanted to estimate the average literacy rate for all countries. He randomly selected 35 countries and researched the literacy rate for the 35 countries. The statistical unit for John's study is:
A. the 35 countries
B. a literacy rate. C. a country O
D. an individual
The statistical unit for John's study is A. the 35 countries. John is trying to estimate the average literacy rate across all countries, and he randomly selected 35 countries to research their literacy rates. The statistical unit in this case is the individual country, as each country's literacy rate is being used to calculate the average.
The statistical unit for John's study is A. the 35 countries. This is because John's study is based on a sample of 35 countries that he randomly selected. The sample is used to estimate the average literacy rate for all countries. The sample size of 35 countries is large enough to provide a representative sample of the population of countries. If John had selected only a few countries or individuals, his estimate of the average literacy rate would not have been reliable. However, by selecting a sample of 35 countries, John can make a more accurate estimation of the average literacy rate for all countries. In conclusion, the statistical unit for John's study is the sample of 35 countries that he researched to estimate the average literacy rate for all countries.
To know more about Average visit:
https://brainly.com/question/8501033
#SPJ11
If the number of containers, y, produced by a factory is proportional to the number of hours, x, the factory is open, which graph could represent the relationship?
A textbook so store so they combined total of $220 history and social textbooks in a week the number of history textbook so was three times the number of social textbooks sold how many textbooks sold each type was sold
The numbers of history and social textbooks sold in that week from that store are 165 and 55 respectively.
Let the number of social textbooks sold in that week from that store be x.
Given that the number of history textbook sold was three times the number of social textbooks sold.
So the number of history textbooks in that week sold from that store is = 3x.
Given that the total number of history and social textbooks sold in a week is 220.
So by the information, the suited equation for this situation will be
x + 3x = 220
4x = 220
x = 220/4
x = 55
The number of social textbooks was sold = 55
The number of history textbooks was sold = 3*55 = 165.
To know more about equation here
https://brainly.com/question/27882730
#SPJ4
The question is in correct format will be -
"A textbook store sold a combined total of 220 history and social textbooks in a week. The number of history textbook sold was three times the number of social textbooks sold. How many textbooks of each type was sold?"
Sonia earned $2,100 at her uncle's orchard. if she worked for 70 weeks and earned the same amount of money each week, how much did she earn per week?
Answer:
30 dollars a week
Step-by-step explanation:
2100/70 is 30
Laura and Martin obtain a 25-y \in a r, $ 90,000 conventional mortgage at 10.0 % on a house seling for $ 120,000 . Their monthly mortgage payment, including principal and interest,
Answer: Their monthly mortgage payment, including principal and interest is $806.27. As we can calculate this problem using formula:
EMI = [P x R x (1+R)^N] / [(1+R)^N-1],
Given: Laura and Martin obtain a 25-y \in a r, $ 90,000 conventional mortgage at 10.0 % on a house selling for $ 120,000.
Let us calculate their monthly mortgage payment, including principal and interest:
Formula: EMI = [P x R x (1+R)^N] / [(1+R)^N-1],
where, P = Principal amount, R = Rate of interest, N = Number of months.
Let, the principal amount be P = $90,000
Rate of interest be R = 10% per annum
Tenure N = 25 years = 25 x 12 = 300 months
Therefore, the monthly interest rate = 10% / (12 months) = 0.1 / 12 = 0.0083333
Monthly payment = [90000 x 0.0083333 x (1+0.0083333)^300] / [(1+0.0083333)^300-1]= $ 806.27
Therefore, their monthly mortgage payment, including principal and interest is $806.27.
To learn more about monthly mortgage payment calculation here:
https://brainly.com/question/12145863
#SPJ11
Given y = 3x + 1 State the quadrants in which this graph is in. (Use the numbers 1-4)
Answer:
1, 2 and 3 (I, II and III)
Step-by-step explanation:
Since the slope is positive (3) in the equation y = 3x + 1, it means that the graph has a positive slope, meaning the line slopes up from left to right.
The y intercept is 1
the x intercept is:
0 = 3x + 1
x = 1/3
Therefore, the graph of y = 3x + 1 lies in quadrants I, II and III. Graph the equation to prove this.
In the tournament described in Exercise 11 of Section 2.4, a top player is defined to be one who either beats every other player or beats someone who beats the other player. Use the WOP to show that in every such tournament with n players n∈ N, there is at least one top player.
Using the Well-Ordering Principle (WOP), it can be proven that in every tournament with n players (where n is a natural number), there is at least one top player, defined as someone who either beats every other player or beats someone who beats the other player.
We will prove this statement by contradiction. Assume that there exists a tournament with n players where there is no top player. This means that for each player, there exists either another player who beats them or a chain of players such that each player beats the next one. Now, consider the set S of all players in this tournament. Since S is a non-empty set of natural numbers, it has a least element, let's say k.
Now, player k either beats every other player in the tournament, making them a top player, or there exists a player, let's say player m, who beats player k. In the latter case, we have a chain of players: k, m, p_1, p_2, ..., p_t, where p_1 beats p_2, p_2 beats p_3, and so on until p_t.
However, this contradicts the assumption that there is no top player, as either player k beats every other player (if m does not exist), or player m beats someone who beats the other player (if m exists). Hence, by contradiction, we have shown that in every tournament with n players, there is at least one top player.
Learn more about non-empty set here:
https://brainly.com/question/1581607
#SPJ11
The product of a number m and 1.7 is 6.63. What is the value of m? Drag and drop the correct number into the box so that the equation is true.
When the product of a number m and 1.7 is 6.63 the required value of m is 3.9
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given statement is,
The product of a number m and 1.7 is 6.63
Thus, converting it into numerical form we get,
1.7m = 6.63
Dividing both the side by 1.7 we get,
1.7m/1.7 = 6.63/1.7
Solving we get,
m = 3.9
this is the required value of m.
Thus, when the product of a number m and 1.7 is 6.63 the required value of m is 3.9
To learn more about equations :
https://brainly.com/question/13482978
#SPJ1
someone help with this
Step-by-step explanation:
6x2 - x + 3 - (-5x2 + 10x - 1)
6x2 - x + 3 + 5x2 - 10x + 1
Solving like terms
11x2 - 11x + 4
Cherie works at an hourly rate of $11.28 per hour and worked 46 hours last week. She earns overtime for hours exceeding 40 hours in a week. She is paid overtime at a rate of time and a half.
What was her gross pay last week?
$223.20
$451.20
$518.88
$552.72
Answer:
$552.72
Step-by-step explanation:
I reviewed the test i took and it said it was right.
For each equation, explain what you could do first to each side of the equation so that there would be no fractions.
To simplify the equations so that there would be no fractions, we
1. Multiply both sides by 8
2. Multiply both sides by 12
3. Multiply both sides by 10
4. Multiply both sides by 30
Simplifying an equation so that there would be no fractionsFrom the question, we are to determine what we could do first to each side of the equations so that there would be no fraction
1. (4x -4)/8 = (x +2)/4
Multiply both sides by the LCM of the denominators
The denominators are 8 and 4
The LCM of 8 and 4 is 8
Thus,
Multiply both sides by 8
8 × (4x -4)/8 = 8 × (x +2)/4
4x -4 = 2(x +2)
2. 3(4 - r)/6 = (4 + r) /4
Multiply both sides by the LCM of the denominators
The denominators are 6 and 4
The LCM of 6 and 4 is 12
Thus,
Multiply both sides by 12
12 × 3(4 - r)/6 = 12 × (4 + r) /4
2 × 3(4 - r) = 3(4 + r)
6(4 - r) = 3(4 + r)
3. (5q + 3)/10 = (q + 2)/5
Multiply both sides by the LCM of the denominators
The denominators are 10 and 5
The LCM of 10 and 5 is 10
Thus,
Multiply both sides by 10
10 × (5q + 3)/10 = 10 × (q + 2)/5
(5q + 3) = 2(q + 2)
4. 4(b - 7)/15 = (b + 3)/10
Multiply both sides by the LCM of the denominators
The denominators are 15 and 10
The LCM of 15 and 10 is 30
Thus,
Multiply both sides by 30
30 × 4(b - 7)/15 = 30 × (b + 3)/10
2 × 4(b - 7) = 3(b + 3)
8(b - 7) = 3(b + 3)
Hence, we will multiply both sides of the equation by 30
Learn more on Simplifying equations here: https://brainly.com/question/3382177
#SPJ1
What is the equation of the line that is parallel to the given line and passes through the point (â€"2, 2)? y = one-fifthx 4 y = one-fifthx twelve-fifths y = â€"5x 4 y = â€"5x twelve-fifths
The equation of the line that is parallel to the given line and passes through the point (–2, 2) is: B. y = 1/5(x) + 12/5
How to calculate the slope of a line?In order to determine the equation of this line, we would first of all calculate its slope. Mathematically, the slope of any straight line can be calculated by using this formula;
\(Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope\;,m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)
By critically observing the graph of the line, we can logically deduce the following points:
Point (x, y) = (0, -3)
Point (x, y) = (-5, -4)
Substituting the given points into the formula, we have;
Slope = (-4 - (-3))/(-5 - 0)
Slope = (-4 + 3)/(-5)
Slope = -1/-5
Slope = 1/5
In Geometry, two (2) lines are parallel under the following conditions:
m₁ = m₂
Note: m represents the slope.
Mathematically, the point-slope form of a line is given by this equation:
y - y₁ = m(x - x₁)
Where:
x and y are the points.m represents the slope.At point (-2, 2), we have:
y - 2 = 1/5(x - (-2))
y - 2 = 1/5(x + 2)
y - 2 = x/5 + 2/5
y = x/5 + 2/5 + 2
y = x/5 + 12/5
y = 1/5(x) + 12/5
Read more on slope of parallel lines here: brainly.com/question/28427398
#SPJ1
Complete Question:
What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?
y=1/5x+4
y=1/5x+12/5
y=-5x+4
y=-5x+12/5
Answer: B. y = 1/5x + 12/5
Step-by-step explanation: This is just a sum of what the person above me said.....and i can confirm this is the right answer bc i just did the quiz and scored 100% loll. Hope this helps! :D
Consider the figure below. What would be the new coordinates of point P if the figure is translated (2, -3) and then reflected across the y-axis? A) P
Answer:
(2,3)
Step-by-step explanation:
solve the inequality; x2-x-2>0
Answer:
x > 2/3
Step-by-step explanation:
2x -x - 2 > 0
add 2x and x (It becomes 3x)
3x -2 >0
subtract 0 from both sides
3x> 2
divide 3 on both sides
And the answer is
X> 2/3
What is an algebraic expression for 32 more than a number n
Answer:
n + 32
Step-by-step explanation:
More than indicates you are adding. 32 more than n is shown by the expression n + 32.
The algebraic expression for 32 more than a number n is 32 + n where n is the real number.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
32 more than a number n
Here n is the real number.
As we know,
The linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.
If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.
The expression can be written mathematically,
32 more than a number n = 32 + n
Thus, the algebraic expression for 32 more than a number n is 32 + n where n is the real number.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
Using the process for desining a controller, convert the fsm you created for exercise 3.30 to a controllerm implementing the controller using a state register and logic gates
To convert the FSM (Finite State Machine) to a controller using a state register and logic gates, follow these steps:
1. Identify the states of the FSM: Review the FSM you created for exercise 3.30 and list down all the states it contains.
2. Design the state register: Create a state register that can store the different states of the FSM. You can use flip-flops or any other suitable storage device.
3. Implement the logic gates: Use logic gates (such as AND, OR, and NOT gates) to implement the transitions between different states. Connect the outputs of the logic gates to the inputs of the state register.
4. Connect the state register to the FSM: Connect the outputs of the state register to the inputs of the FSM to control its behavior based on the current state.
5. Test and verify: Test the controller by simulating different inputs and checking if it transitions between the states correctly according to the desired behavior of the original FSM.
Know more about FSM (Finite State Machine) here:
https://brainly.com/question/29728092
#SPJ11