There are 80 sixth graders at Wilson Middle School only 50% of the sixth graders will attend the morning assembly.How many sixth graders will be at the morning assembly
Answers
80 x .5 = 40
Related Questions
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 12 feet more than the length of the shortest side.Find the dimensions if the perimeter is 136 feet
Answers
x - the shortest side
2x
x + 28
The sum of these must be equal to the perimeter of the flower bed, so
x + 2x + x + 28 = 184
4 x + 28 = 184 Combined like terms
4x = 156 Subtracted 28 from both sides
x = 39 Divided both sides by 4.
So the dimensions are 39 feet, 78 feet, and 67 feet
Solving a word problem on proportions using a unit rate
Dante drove 871 miles in 13 hours.
At the same rate, how long would it take him to drive 603 miles?
Answers
The unit rate of miles per hour is:
871 miles ÷ 13 hours = 67 miles per hour
This means that Dante drove at a rate of 67 miles per hour.
To find out how long it would take him to drive 603 miles at the same rate, we can set up a proportion:
871 miles ÷ 13 hours = 603 miles ÷ x hours
We can cross-multiply to solve for x:
871x = 13 * 603
871x = 7,839
x = 9
Therefore, it would take Dante 9 hours to drive 603 miles at the same rate of 67 miles per hour.
What is the lengh of the line
Answers
Answer:
√45 or 3√5
Step-by-step explanation:
Jeremiah has $35 to spend on items for his dog at the pet store.
The table shows the cost of the items. He bought a collar, two toys,
two biscuits, and a ball. Write an addition equation that can be used
to determine how much money Jeremiah still has to spend. Then
solve the equation.
Answers
The equation that determines the amount x that Jeremiah still has to spend is given as follows:
c + 2t + 2bi + ba + x = 35
x = 35 - (c + 2t + 2bi + ba).
In which:
c is the cost of a collar.t is the cost of a toy.bi is the cost of a biscuit.ba is the cost of a ball.How to obtain the amount that Jeremiah still has to spend?The amount that Jeremiah still has to spend is obtained applying the proportions in the context of the problem.
Considering the meaning of each variable given in this problem, the equation modeling his total spending is given as follows:
c + 2t + 2bi + ba + x = 35
The solution is obtained isolating the variable x, as follows:
x = 35 - (c + 2t + 2bi + ba).
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Please help rn!!!!!!!!
Answers
Answer:
The correct answer is H: c=2A/h-b
Step-by-step explanation:
A=1/2(b+c)h
Multiply both sides by two: 2A=(b+c)h
Divide both sides by h: 2A/h=b+c
Subtract b: 2A/h+b=c
Takeru is planning to paint the walls of his bedroom, which is shaped like a rectangular prism. The bedroom has 1 window and 2 doors. The dimensions of the window and doors are shown in the table. If 1 gallon of paint covers about 150 square feet, how many gallons of paint are needed to cover the walls of a room that is 20ft long, 15ft wide, and 8ft high?
Answers
The number of gallons is 4.1
How to determine the areaFrom the information given, we have that;
1 gallon of paint is equivalent to 150 square feet
Since we have 2 doors, the area of a rectangular prism is
Area = lw
Area =20(15)
Area = 300 (2) = 600 ft²
For the window, we have;
Area = 3(5) = 15
The total area of the wall is;
Total area = 615 ft²
Then, if;
1 gallon = 150 square feet
x = 615 square feet
cross multiply
x = 4. 1 gallons
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Gymnast Clothing manufactures expensive hockey jerseys for sale to college bookstores in runs of up to 150. Its cost (in dollars) for a run of x hockey jerseys is
C(x) = 1500 + 10x + 0.2x2 (0 ≤ x ≤ 150)
1. Gymnast Clothing sells the jerseys at $90 each. Find the revenue function.
2. Find the profit function.
3. How many should Gymnast Clothing manufacture to make a profit?
Answers
The Revenue function for the number of jerseys x sold is ; R(x) = 90x
The profit function from the sale of x jerseys is ; P(x) = - 0.2x² + 80x - 1500
The number of Jerseys to manufacture in other to make profit = 20
The revenue made is the total amount made from the sale of the hickey jerseys :
Sales price per jersey = $90
Hence, the revenue made, R(x) = 90x
The Cost function, C(x) = C(x) = 1500 + 10x + 0.2x²
Recall :
Profit = Revenue - Cost
Hence,
P(x) = R(x) - C(x)
P(x) = 90 - (0.2x² + 10x + 1500)
P(x) = 90 - 0.2x² - 10x - 1500
P(x) = - 0.2x² + 80x - 1500
To make profit, equate P(x) to 0 ;
0.2x² - 80x + 1500 = 0
Using a quadratic calculator :
x = 380.22 or x = 19.72
Hence, to make a profit, the number of jerseys that must be sold is 20.
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A laptop has a listed price of $537.95 before tax. If the sales tax rate is 7.5%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
Answers
Answer:
$578.30
Step-by-step explanation:
537.95(.075)= 40.35
$40.35 + $537.95 = $578.30
Whose statement is correct based on the expected value?
Answers
Step-by-step explanation:
only Hadley. and even that is not fully correct.
the expected value here gives us the overall most likely outcome of the scenario when throwing 2 balls.
and not ball by ball. and not directly a probability.
like rolling a die : the expected value of rolling a 6 in 6 attempts is 1 due to the individual roll probability of 1/6.
but the probabilty is NOT 1 or 100% (a guaranteed 6 in 6 attempts).
and that brings me to my concern with Hadley's statement. it says with conviction "the player will make ...". no, only "... will likely make ..." or "... on average".
Answer:
Step-by-step explanation:
neither statement is correct. right answer on khan
HELP PLEASEEEEEEEEE!!!!!!!! ILL MARK BRAINLIEST
Answers
Since 1.2 is positive whereas all other are negative. So, the order will be:
1.2 > -1.6 > - 1.7 > -1.71
What are Decimals?A decimal numeral is a broad term for a number's notation using the decimal numeral system. Sometimes a decimal separator is used to identify decimals. Integer and non-integer numbers are often expressed using the decimal numeral system. The Hindu-Arabic numeral system has been expanded to include non-integer values. Term "terminating decimals" refers to decimal numerals in this context that have a predetermined number of non-zero digits following the decimal separator. An infinite decimal that, after a certain point, repeats the same digit sequence endlessly is said to be repeating. If and only if it has a finite number of non-zero digits or is a repeating decimal, an infinite decimal can be used to represent a rational number, the product of two integers.Therefore,
-8/5 = -1.6 …............ Number 3
-1.7 …............ Number 2
-30/-25 = 6/5 = 1.2 …............ Number 4
-1.71 .................. Number 1
Since 1.2 is positive whereas all other are negative.
So, the order will be:
1.2 > -1.6 > - 1.7 > -1.71
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While at School Brian had a math quiz every 6 days and a science quiz every four days. On February 15 he had both tests. Assuming no school days off when will he have both tests on the same day again.
Answers
Days x # of tests = days until both
6x2=12
4x3=12
Pat receives a series of four annual federally subsidized student loans, each for $5400 at 6.5%. To defray rising costs for her senior year, 3 years after acquiring the first loan she takes out a private student loan for $4100 at 7.5% interest with a term of 10 years and capitalizes the interest for her last year of college. She graduates 9 months after getting the private loan. Payments on all loans are deferred until 6 months after graduation. Find her monthly payment.
Answers
Pat's approximate monthly Payment would be $304.32 to repay all her loans after the deferment period.
The Pat's monthly payment, we need to consider the terms and interest rates of each loan. Let's break down the calculation step by step:
1. Federally subsidized student loans:
- Pat receives four annual loans, each for $5400 at an interest rate of 6.5%.
- Since the loans are annual, we need to calculate the interest for each year and add it to the principal amount.
- The total principal amount for the four loans is $5400 * 4 = $21,600.
- The interest for each year is $21,600 * 6.5% = $1,404.
- Therefore, the total amount owed for the federally subsidized loans is $21,600 + ($1,404 * 4) = $27,816.
2. Private student loan:
- Pat takes out a private student loan for $4100 at an interest rate of 7.5% for a term of 10 years.
- The loan is capitalized, which means the interest is added to the principal amount.
- The total principal amount for the private loan is $4100.
- The interest for each year is $4100 * 7.5% = $307.50.
- Since Pat capitalizes the interest for her last year of college, the loan will accrue interest for a total of 9 months.
- Therefore, the total interest accrued for the private loan is ($307.50 * 9) = $2767.50.
- The total amount owed for the private loan is $4100 + $2767.50 = $6867.50.
3. Total amount owed:
- To find the total amount owed by Pat, we add the amounts from the federally subsidized loans and the private loan.
- Total amount owed = $27,816 + $6867.50 = $34,683.50.
4. Monthly payment:
- The monthly payment is calculated based on the total amount owed and the repayment term.
- The term is 10 years for the private loan, but since payments are deferred until 6 months after graduation, the actual term is 10 years - 0.5 years = 9.5 years.
- The number of monthly payments is 9.5 years * 12 months/year = 114 months.
- Therefore, the monthly payment is $34,683.50 / 114 months ≈ $304.32.
So, Pat's approximate monthly payment would be $304.32 to repay all her loans after the deferment period.
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If your base pay is 10000 your commission rate is 40% you sell 15 cars and you earn 40000 how much does each car cost
Answers
Answer: $4,000
Step-by-step explanation:
If the total earnings were $40,000 and the base pay was $10,000, then the commission earned would be $40,000 - $10,000 = $30,000.
Since the commission rate is 40%, we can set up the equation:
40% x Total Sales = Commission Earned
We know that the commission earned is $30,000, and we also know that 15 cars were sold. Therefore, we can solve for the average price of each car:
40% x Total Sales = Commission Earned
40% x (15 x Price per Car) = $30,000
6 x Price per Car = $30,000
Price per Car = $5,000
However, this is just the average price per car. Since the commission is based on the total sales, we need to calculate the actual commission earned on each car:
Commission per Car = 40% x Price per Car
Commission per Car = 40% x $5,000
Commission per Car = $2,000
Therefore, the total earnings of $40,000 divided by the number of cars sold (15) gives the amount earned per car:
Amount earned per Car = Total Earnings / Number of Cars Sold
Amount earned per Car = $40,000 / 15
Amount earned per Car = $4,000
The perimeter of the original rectangle on the left is 30 meters. The perimeter of the reduced rectangle on the right is 24
meters.
Х
8 m
Not drawn to scale
What is x, the width of the original rectangle on the left? Round to the nearest hundredth if necessary.
O 5 meters
O 8 meters
10 meters
12 meters
Answers
Answer:
The answer is 5.
Step-by-step explanation:
It's the only one that makes sense, and i took the quiz and got 100%
You're welcome :D
Find the equation of the line through the points (3,6) and (-1, 1).
Answers
Let's begin by listing out the information given to us:
(x, y) at point 1 = (3, 6)
(x, y) at point 2 = (-1, 1)
The equation of a straight line is given by:
\(\begin{gathered} y=mx+b \\ m=\frac{y_2-y_1}{x_2-x_1}=\frac{1-6}{-1-3}=\frac{-5}{-4} \\ m=\frac{5}{4} \end{gathered}\)Substitute the slope (m) into the equation, we have:
\(\begin{gathered} y=mx+b \\ m=\frac{5}{4} \\ y=\frac{5}{4}x+b \\ \text{Substitute the value of x \& y into the equation from (}3,6) \\ 6=\frac{5}{4}\cdot3+b\Rightarrow6=\frac{15}{4}+b \\ b=6-\frac{15}{4}=6-3\frac{3}{4} \\ b=2\frac{1}{4}=2.25 \\ \\ \therefore y=\frac{5}{4}x+2.25 \end{gathered}\)how to use the elimination method for the following equations 16x + 12y = 336 11x + 15y = 312
Answers
Given the system of equations:
\(\begin{gathered} 16x+12y=336\text{ \lparen1\rparen} \\ 11x+15y=312\text{ \lparen2\rparen} \end{gathered}\)The elimination method consists of multiplying either of the two equations in order to have the coefficients of x or y with the same value and be able to add or subtract.
In this case we are going to multiply the equation (2) by 16/11:
\(\begin{gathered} \frac{16}{11}(11x+15y)=\frac{16}{11}*(312) \\ 16x+\frac{16*15}{11}y=\frac{16*312}{11} \\ \\ 16x+\frac{240}{11}y=\frac{4992}{11}\text{ \lparen3\rparen} \end{gathered}\)Now, subtracting (1) - (3)
\(\begin{gathered} 16x+12y=336 \\ - \\ 16x+\frac{240}{11}y=\frac{4992}{11} \end{gathered}\)This is going to be eual to:
\((16x-16x)+(12y-\frac{240}{11}y)=(336-\frac{4992}{11})\)Where: 16x-16x=0, therefore:
\(12y-\frac{240}{11}y=336-\frac{4992}{11}\)Solving for y:
\(\begin{gathered} -\frac{108}{11}y=-\frac{1296}{11} \\ 108y=1296 \\ y=\frac{1296}{108}=12 \end{gathered}\)Finally, replacing the value of y in (1) to find x:
\(\begin{gathered} 16x+12(12)=336 \\ 16x=336-144 \\ 16x=192 \\ x=\frac{192}{16}=12 \end{gathered}\)Answer: the solution of the system is x=12, y=12.
You are taking samples from a normally distributed population with mean 138 and standard deviation 14. Your batch size is 16. Let X-bar be the average of all 16 of your samples. What is the variance of X-bar?
Answers
The variance of X-bar is 12.25.
To find the variance of the sample mean (X-bar) for a normally distributed population, we can use the formula:
Variance of X-bar = (Population Variance) / (Sample Size)
In this case, the population mean (μ) is 138 and the standard deviation (σ) is 14. The population variance (σ^2) can be calculated as the square of the standard deviation, which gives us 14^2 = 196.
Since we are sampling with a batch size of 16, the sample size is also 16.
Now we can substitute these values into the formula:
Variance of X-bar = 196 / 16 = 12.25
Therefore, the variance of X-bar is 12.25.
It's important to note that the sample mean (X-bar) is an unbiased estimator of the population mean (μ). The smaller the sample size, the greater the variability of X-bar around the population mean.
As the sample size increases, the variance of X-bar decreases, indicating a more precise estimate of the population mean.
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f(n)=n^2-4;find (-1)
Answers
Answer:
-5
Step-by-step explanation:
f(-1) = -1^2 - 4
f(-1) = -1 - 4
f(-1) = -5
A man gave 5/12 of his money to his son , 3/7 of the remainder to his daughter and the remaining to his wife if his wife gets rs 8700 what is the total amount
Answers
The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.
A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?
The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.
The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'
Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).
Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.
Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200
Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.
The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.
The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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PLEASE HURRY FOR BRAINLIEST I BEG YOU!!
Answers
Answer:
5
Step-by-step explanation:
i did this before
The measure of one angle of a right triangle is 26°. Find the measure of the other angle.
Enter an integer or decimal number [more...]
Question Help:
Post to forum
Calculator
Answers
Answer:
64°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
let the third angle be x , then
x + 90° + 26° = 180°
x + 116° = 180° ( subtract 116° from both sides )
x = 64°
the other angle is 64°
PLS HELPP
1.how many edges does it have?
2. how many vertices does it have?
Answers
Answer:
1. 8 edges
2. 8 vertices
Step-by-step explanation:
Answer:
the 3D image is a cuboid so no.of edges are 12 and no.of vertices are 8..
edges are the line segments and vertices are the corners...
you and a friend have created a carnival game for your classmates. you plan to charge $1 for each time a student plays, and the payout for a win is $5. according to your calculations, the probability of a win is .05 what is your expected value for this game?
Answers
Answer:
The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.
Step-by-step explanation:
Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing
In this case:
Probability of Winning = 0.05
Payout for Win = $5
Cost of Playing = $1
Expected Value = (0.05 * $5) - $1
Expected Value = $0.25 - $1
Expected Value = -$0.75
Into a single power and explanation pls
Answers
9^10 divided by 9 can be simplified to 9^(10-1) = 9^9
This is because when dividing a power by the same base, we can subtract the exponent by one.
In other words, 9^10 / 9 = (9999999999) / (9) = 99999999*9 = 9^9.
So, 9^10 divided by 9 is equal to 9^9.
Another way to think about this is that dividing a number by itself is the same as multiplying that number by 1, and 9^10 / 9 = 9^10 * 1 / 9 = 9^10 / 9^1 = 9^(10-1) = 9^9
In terms of real numbers, 9^10 is equal to 387420490 and 9^9 is equal to 3486784401. So 9^10 divided by 9 is equal to 3486784401.
\(\it \dfrac{9^{10}}{9}=9^{10}:9^1=9^{10-1}=9^9\)
A wheel on Deons bicycle is 0.9 m in diameter. Deon races the bicycle for 138 m. How many times does the wheel turn as the bicycle travels the distance.
Answers
The wheel is going to turn for 48.8 times as the bicycle travels the distance.
What is a wheel?A wheel is a circular device attached to the legs of moving machinery such as bicycle, motorcycle, and so on.
The turns of a wheel implies motion and it aids in rolling the machine.
Given data
diameter d = 0.9 m
distance travelled = 138 m
how many turns the wheel made = x
solving for x
x = distance travelled / the circumference of the wheel
circumference of the wheel
circumference = 2 * pi * r
= 2 * 3.142 * r
diameter =2 * radius r
r = diameter / 2 = 0.9 / 2 = 0.45
circumference = 2 * 3.142 * 0.45
circumference = 2.828 m
x = 138 / 2.828
x = 48.798
Therefore the wheel will turn 48.798 times as the bicycle travels
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(3x−4)(x+2)(3x−1) hurry pls
Answers
Answer:
Step-by-step explanation:
(3x - 1)(3x - 4) = 9x^2 - 15x + 4
(x + 2)(9x^2 - 15x + 4) = 9x^3 - 15x^2 + 4x + 18x^2 - 30x + 8
9x^3 + 3x^2 -26x + 8 is the solution
Question #3
Determine if the following scenario is best described as an observational study, survey, or experiment.
A researcher wants to determine the effects of eating a vegan diet on overall health. The researcher finds 200 individuals, where
of them have eaten vegan for the past five years and the other 100 have not eaten vegan for the past five years. The participants
each given a health assessment and the data is analyzed in order to draw conclusions about how eating vegan can affect one's
overall health.
Experimental Study
Observational study
Saved Survey
Answers
The type of sytudy that we have here is the observational study.
What is the observational study?
In an observational study, the researcher observes and analyzes data from individuals without actively intervening or manipulating any variables.
In this case, the researcher is observing and comparing the health outcomes of two groups of individuals: those who have eaten a vegan diet for the past five years and those who have not.
The participants are not randomly assigned to the groups, and the researcher does not actively control or manipulate the diet of the individuals.
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Calcular los 3/5 de los 2/3 de las 3/4 de 560
Answers
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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Please solve this problem 2(x+1)=2x-3
Answers
Answer:
1
Step-by-step explanation:
2(x+1)=2x-32x+2=2x-3-2 -2x0x=11Answer:
no solution
Step-by-step explanation:
distrubute the 2
2x + 1 = 2x -3
subtract the 2x's and you get 1 = -3 which is not true so there is no answer
Identify the algebraic rule that would translate a figure 3 units left and 2 units up.
Answers
The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). Option B.
To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.
When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.
Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.
Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.
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