x = (1814.75 - 1168.50)/(58.75)
==============================================
Explanation:
x = number of players
58.75x = cost of all the meals for those x players
58.75x + 1168.50 = adding on the cost of the bus
58.75x + 1168.50 = 1814.75
----------
Let's solve for x.
58.75x + 1168.50 = 1814.75
58.75x = 1814.75 - 1168.50
x = (1814.75 - 1168.50)/(58.75)
x = 11
This means 11 players can go on the trip.
1 player = $58.75 in meals
11 players = 11*58.75 = $646.25 total in meal costs
646.25 + 1168.50 = 1814.75
So this confirms the answer.
The correct equation to determine the number of players (x) the team can bring to the tournament is x = (1814.75 - 1168.5) / 58.75.So, the correct answer is B. x = (1814.75-1168.5)/58.75
The amount raised by the lacrosse team is $1814.75. They spent $1168.50 on the bus rental and budgeted $58.75 per player for meals. Let's break down the expenses:
Total expenses = Bus rental cost + (Number of players * Meal cost per player)
Total expenses = $1168.50 + (x * $58.75)
The equation that represents the total expenses in terms of the number of players (x) is: Total expenses = $1168.50 + $58.75x
Since the team raised $1814.75, we can set up the equation:
Total expenses = Amount raised
$1168.50 + $58.75x = $1814.75
Now, let's solve for x:
$58.75x = $1814.75 - $1168.50
$58.75x = $646.25
Dividing both sides by $58.75:
x = $646.25 / $58.75
x = 11
So, the correct equation to determine the number of players (x) the team can bring to the tournament is: B. x = (1814.75 - 1168.5) / 58.75
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Correct Question is:
Members of a lacrosse team raised $1814.75 to go to a tournament. They
rented a bus for $1168.50 and budgeted $58.75 per player for meals. Whichequation could be used to determine x, the number of players the team can bring to the tournament?
A. 1168.5x = 1814.75 - 58.75
B. x = (1814.75-1168.5)/58.75
C. x= (1168.5-1814.75)/58.75
D. 1814.75 = 58.75(x+1168.5)
Necesito ayuda con los ejercios 3,5,7,9,11,13
Slope of the line passing through (-5,-4) and (-1,3)is 1.75
The slope formula
slope = (y₂ - y₁) / (x₂ - x₁)
Notice that the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.
The points belong to an increasing, linear function.
Equation: y = 1.75x + 4.75.
m=7/4=1.75.
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a multiplication problem that will give you the answer 24x⁷
PROBLEM SOLVING You are flying in a hot air balloon about 1.2 miles above the ground. Find the measure of the arc that
represents the part of Earth you can see. Round your answer to the nearest tenth. (The radius of Earth is about 4000 miles)
4001.2 mi
Z
W
Y
4000 mi
Not drawn to scale
The arc measures about __
The arc degree representing the portion of Soil you'll see from the hot air balloon is around 0.0 degrees.
How to Solve the Arc Degree?To discover the degree of the arc that represents the portion of Earth you'll be able to see from the hot air balloon, you'll be able utilize the concept of trigonometry.
To begin with, we got to discover the point shaped at the center of the Soil by drawing lines from the center of the Soil to the two endpoints of the circular segment. This point will be the central point of the bend.
The tallness of the hot discuss swell over the ground shapes a right triangle with the span of the Soil as the hypotenuse and the vertical separate from the center of the Soil to the beat of the hot discuss swell as the inverse side. The radius of the Soil is around 4000 miles, and the stature of the swell is 1.2 miles.
Utilizing trigonometry, able to calculate the point θ (in radians) utilizing the equation:
θ = arcsin(opposite / hypotenuse)
θ = arcsin(1.2 / 4000)
θ ≈ 0.000286478 radians
To discover the degree of the circular segment in degrees, we will change over the point from radians to degrees:
Arc measure (in degrees) = θ * (180 / π)
Arc measure ≈ 0.000286478 * (180 / π)
Arc measure ≈ 0.0164 degrees
Adjusted to the closest tenth, the arc degree representing the portion of Soil you'll see from the hot air balloon is around 0.0 degrees.
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What is 0.16‾‾‾‾√
0.16
? Give the answer as a decimal
Answer:
0.4
Step-by-step explanation:
if you mean the square root your answer would be 0.4
un mesero gana $5 la hora, el sábado ganó $108 en propinas. si él hizo $128 En total cuántas horas trabajo? escribe una ecuasion y responde.
The waiter worked for 4 hours.
The waiter earns $5 an hour.The waiter earned $108 in tips. The waiter made $128 in total.The earnings of the waiter, excluding tips, are total minus the tips.The earnings of the waiter, excluding tips, are $128-$108.The earnings of the waiter, excluding tips, are $20.The Earnings Rate is the amount for each fund computed for each business day that represents the net rate of gain or loss on the assets of that fund.The earnings of the waiter due to work = number of working hours * Earning rate20 = Number of working hours * 5The number of working hours is 20/5.The number of working hours is 4 hours.To learn more about rate, visit :
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Finding slopes. Please do as many questions as you can.
Answer:
Step-by-step explanation:
slope are hard tbh
Last month a cafe had 3200 customers 600 of them ordered gluten-free meals
Answer: 18.75%
Step-by-step explanation:
Here is the complete question:
Last month, a cafe had 3200 customers. 600 of them ordered gluten-free meals. What percentage of the customers ordered gluten-free meals?
To find the percentage of the customers who ordered gluten-free meals, we will divide the number of people who ordered glutton free meal by the total number of customers and then multiply by 100. This will be:
= 600/3200 × 100
= 0.1875 × 100
= 18.75%
Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)
Answer:
M(13, 14)-------------------------
Each coordinate of the midpoint is the average of endpoints:
x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14Therefore M is (13, 14).
What is the slope of the line that passes through the points (-4, 3) and (6, -5).
Answer:
-4/5
Step-by-step explanation:
m=\(\frac{y2-y1}{x2-x1}\)
m=\(\frac{-5-3}{6-(-4)}\)
m=-8/10
m=-4/5
a class has 11 students who are to be randomly assigned seating. what is the probability that the students will be arranged in order from shortest to tallest? (assume that no two students are the same height.)
The Probability that the student will arranged in order from shortest to tallest is 2.505210.
Probability is a branch of math which deals with the numerical description of certain events is to occur. It is the ratio of the numbers of favorable outcomes to the total number of outcomes. When solving probability problems we need to consider series of random experiments or experiments that involve several different aspects, such as drawing two cards from a deck or rolling several dice. the ability to calculate relative frequencies requires counting the number of possible outcomes of the experiment
If a class has 11 students who are to be randomly assigned seating in the order of shortest to tallest.
The total outcomes= 11! = 39916800
here the total favorable outcome is 1.so,
Probability = 1 / 39916800
= 2.505210
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help me please!!!!!!!
Answer:
I have no idea.
Step-by-step explanation:
I failed geometry.
the sum of -15/32 and 7/31 is which of the following answers: 1/4, -11/16, -1/8, -1/4
Answer:
-11/16
Step-by-step explanation:
1) Find the Least Common Denominator (LCD) of \(\frac{15}{32} ,\frac{7}{31}\) In other words, find the Least Common Multiple (LCM) of 32,31.
Method 1: By Listing Multiples
1. List the multiples of each number.
Multiples of 32: 31,64,96,... 928, 960 ,992,...
Multiples of 31: 31, 62, 93 , ... , 930, 961 , 992, ...
Find the smallest number that is shared by all rows above. This is the LCM.
LCM = 992
Method 2: By Prime Factors
1. List the prime factors of each number.
Prime Factors of 32: 2,2,2,2,2
Prime Factors of 31: 31
2. Find the union of these primes.
2,2,2,2,2,31
3. Multiply these numbers: 2 * 2 * 2 * 2 * 2 * 31 = 992. This is the LCM.
LCM = 992
2) Make the denominators the same as the LCD.
\(-\frac{15*31}{32*31} +\frac{7*32}{31*32}\)
3) Simplify. Denominators are now the same.
\(-\frac{465}{992} +\frac{224}{992}\)
4) Join the denominators.
\(\frac{-465+224}{992}\)
5) Simplify
\(-\frac{241}{992}\)
Decimal Form: -0.242944
What is the probability of pulling out a red marble from a bag that contains 5 green, 2 red, and 10 white marbles?
A. 1/17
B. 2/17
C. 15/17
Answer:
\(\boxed {\boxed {\sf B. \ \frac{2}{17}}}\)
Step-by-step explanation:
The probability can be found by dividing the number of favorable outcomes by the total outcomes.
\(P=\frac{favorable \ outcomes}{total \ outcomes}}\)
In this problem, the favorable outcome is a red marble. The total is all the marbles.
\(P(red)=\frac{red \ marbles}{all \ marbles}}\)
There are 2 red marbles To find the total number of marbles, add them up. 5 green + 2 red + 10 white = 17 marbles\(P(red)=\frac{2}{17}\)
This fraction cannot be reduced further, so it is the answer.
The probability of drawing a red marble is 2/17
Write an explicit formula for a(n) the n^th term of the sequence 36,−6,1
Please help me with this question... please
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
The company ALTA Ltd issued a bank accepted bill to fund its working capital requirement. The bill is issued for 60 days, with a face value of $150,000 and a yield of 2.5% per annum to the original discounter. After 25 days, the bank bill is sold by the wwwwww original discounter into the secondary market for $138,222. The purchaser holds the bill to maturity. What is the yield received by the holder of the bill at the date of maturity?
the yield received by the holder of the bill at the date of maturity is approximately 10.15%.
To calculate the yield received by the holder of the bill at the date of maturity, we need to use the formula for yield to maturity. The formula is:
Yield to Maturity = (Face Value - Purchase Price) / Purchase Price * (365 / Days to Maturity)
In this case:
Face Value = $150,000
Purchase Price = $138,222
Days to Maturity = 60 - 25 = 35
these values in the formula, we can calculate the yield to maturity:
Yield to Maturity = ($150,000 - $138,222) / $138,222 * (365 / 35)
Yield to Maturity ≈ 0.1015 or 10.15%
Therefore, the yield received by the holder of the bill at the date of maturity is approximately 10.15%.
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2x-5
-------- = 2
8
(2x-5/8 = 2)
Step-by-step explanation:
2×-5=-8 and 2×-5/8=-1.25
Answer:
x = 10.5
Step-by-step explanation:
I'll assume this is the equation: (2x-5)/8 = 2
(2x-5)/8 = 2
(2x-5) = 16 [Multiply both sides by 8]
2x = 21 [Add 5 to both sides]
x = (21/2) [Divide both sides by 2]
or x = 10.5
How do you plot the point 3?
Here the point 3 can be taken as (3,0) or (0, 3) ; For first, move right 3 units along the x-axis. No vertical component is there , as the y-coordinate is 0 here; For second, move 3 units along the y-axis. Since the x-coordinate is 0, there is no horizontal component.
A point is marked in a coordinate plane using its coordinates when it is plotted in a coordinate system.
The intersection of the x-axis, a horizontal number line, and the y-axis, a vertical number line, creates a 2D coordinate plane.
At the coordinate plane's origin, where the two axes (plural for axis) intersect, four right angles are formed. On a coordinate plane, a grid is frequently drawn to make it simpler to plot points.
In a 2D coordinate plane, a point's location is represented by an ordered pair of numbers (x, y). An ordered pair of numbers is used to represent the location of a point in a 2D coordinate plane (x, y). The first number in the pair represents the point's location along the x-axis, and the second number represents its location vertically (y-axis).
Count x squares from the origin along the x-axis, then count y squares in the direction of the y-axis to plot the point (x, y) in the coordinate plane.
Here the point 3 can be taken as (3,0) or (0, 3) ; For first, move right 3 units along the x-axis. No vertical component is there , as the y-coordinate is 0 here; For second, move 3 units along the y-axis. Since the x-coordinate is 0, there is no horizontal component.
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A group of 3 friends went to a movie. They paid $15 for a bucket of popcorn. All the
movie tickets were the same price. They paid $51.75 total. Which equation represents
the cost of the tickets?
Answer:
51.75- 15= 36.75
36.75/3= 12.25 per ticket
Answer:
51.75 - 15 / 3
Step-by-step explanation:
$15 for a bucket of popcorn is separate from the tickets, so you subtract that from the sum.
Then you should have 36.75.
36.75 / 3 = 12.25
I hope this helped!
Stay safe! <3
write down a polynomial of degree exactly 5 that interpolates the four points (1, 1), (2, 3), (3, 3), (4, 4).
The required polynomial of exact degree 5 which interpolates the four given points is equals to p(x) = x^3/2 -4x^2 + 63x/6 -6.
Polynomial of degree exactly 5 that interpolates the four points (1, 1), (2, 3), (3, 3), (4, 4).
Apply Lagrange interpolation.
Standard form of the Lagrange interpolation polynomial of degree n passing through n+1 distinct points (x0, y0), (x1, y1), ..., (xn, yn) is,
L(x) = Σ [yi × Π (x - xj) / (xi - xj)], for i = 0, 1, ..., n
where Π is the product operator and j takes all values different from i.
For the given four points, we have n = 3, so the polynomial has degree n+1 = 4.
Using the formula, we have,
L(x) = (1× (x - 2)(x - 3)(x - 4) / ((1 - 2)(1 - 3)(1 - 4)))
+ (3× (x - 1)(x - 3)(x - 4) / ((2 - 1)(2 - 3)(2 - 4)))
+ (3× (x - 1)(x - 2)(x - 4) / ((3 - 1)(3 - 2)(3 - 4)))
+ (4× (x - 1)(x - 2)(x - 3) / ((4 - 1)(4 - 2)(4 - 3)))
Simplifying this expression, we get,
⇒L(x) = (-x^3 + 9x^2 - 26x + 24)/6 + (3x^3/2 - 12x^2 + 57x/2 - 18) +(-3x^3/2 + 21x^2 /2- 21x + 12) + (2x^3/3 - 4x^2 + 22x/3 - 4)
⇒L(x) = x^3/2 -4x^2 + 63x/6 -6
Therefore, the polynomial of degree exactly 5 that interpolates the four points (1, 1), (2, 3), (3, 3), (4, 4) is p(x) = x^3/2 -4x^2 + 63x/6 -6.
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even a guess would help me rn!
Answer: 21
Step-by-step explanation:
Where you see x, put -6, then solve
Point slope form question
How would I turn (2,-5) (-3, 10) into a point slope equation?
Answer:
y+5=-3(x-2)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(10-(-5))/(-3-2)
m=(10+5)/-5
m=15/-5
m=-3
y-y1=m(x-x1)
y-(-5)=-3(x-2)
y+5=-3(x-2)
An incomplete contingency table is provided. Use this table to complete the following.a. Fill in the missing entries in the contingency table. b. Determine P(Upper C 1), P(Upper R 2), and P(Upper C 1 & Upper R 2). c. Construct the corresponding joint probability distribution. Upper C 1 Upper C 2 Total Upper R 1 4 12 Upper R 2 8 Total 30 a. Complete the contingency table. Upper C 1 Upper C 2 Total Upper R 1 4 8 12 Upper R 2 10 8 18 Total 14 16 30 (Type whole numbers.) b. Find each probability. P(Upper C 1)equals nothing (Type an integer or decimal rounded to two decimal places as needed.) P(Upper R 2)equals nothing (Type an integer or decimal rounded to two decimal places as needed.) P(Upper C 1 & Upper R 2)equals nothing (Type an integer or decimal rounded to two decimal places as needed.) c. Complete the joint probability distribution. Upper C 1 Upper C 2 Total Upper R 1 nothing nothing nothing Upper R 2 nothing nothing nothing Total nothing nothing nothing (Type integers or decimals rounded to two decimal places as needed.)
Each entry in the table is the probability of the corresponding outcome (e.g. Upper C 1 and Upper R 1) occurring.
a. The completed contingency table is:
Upper C 1 Upper C 2 Total
Upper R 1 4 8 12
Upper R 2 10 8 18
Total 14 16 30
b. To find P(Upper C 1), we add up the values in the Upper C 1 column and divide by the total number of observations:
P(Upper C 1) =\(\frac{(4 + 10)} { 30} = 0.47\)
To find P(Upper R 2), we add up the values in the Upper R 2 row and divide by the total number of observations:
P(Upper R 2)\(= \frac{18} { 30} = 0.6\)
To find P(Upper C 1 & Upper R 2), we look at the intersection of the Upper C 1 column and the Upper R 2 row, which is 10. We then divide by the total number of observations:
P(Upper C 1 & Upper R 2) = 10 / 30 = 0.33
c. The joint probability distribution is:
Upper C 1 Upper C 2 Total
Upper R 1 0.13 0.27 0.4
Upper R 2 0.33 0.27 0.6
Total 0.47 0.53 1.0
Each entry in the table is the probability of the corresponding outcome (e.g. Upper C 1 and Upper R 1) occurring.
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the middle of 26 and -13
Answer:
6.5
Step-by-step explanation:
26 - 13 = 13
13/2 = 6.5
Answer:
6.5
Step-by-step explanation:
the average would add the 2 together then divide by 2
26 - 13 = 13
13 / 2 = 6.5
You have flipped a standard quarter 10 times and had four head and six tails come up. With that experience, what will be the chances of you getting a heads on the next flip
Answer:
1/2 or 0.5
Step-by-step explanation:
Your previous results don't change the probability of the next time.
—1 <3х + 5 6
What is the answer?!
Answer:not sure but x>-9
Step-by-step explanation:
Someone double check me
Write a function in any form that would match the graph shown below.
Answer:
it has two zeros because it is touching x axis two times
Math question right here
Answer: I think its BC and DC I dont know But I hope this helps!
Step-by-step explanation:
Answer:
∠ACB ≅ ∠ACD
Step-by-step explanation:
The SAS Postulate tells us:
If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
(Congruent = exactly the same)
(included angle is formed by the two known sides)
In this example we can see that 2 sides are congruent (by the dashes on the lines and the fact that both triangles share side AC), but we do not know if the included angles are congruent.
Therefore, we need to know if ∠ACB ≅ ∠ACD
What is the value of 3-(-2)?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
When subtracting a negative number, you will add it.
This is because the negative signs of the subtraction sign and the negative number will cancel out.
This will change the subtraction sign to a positive sign and will switch the negative sign on the number to a positive one.
So, 3 - (-2) will change to 3 + (2)
3 + 2
= 5
I NEED HELP PLEASE
ITS DUE SOOM
Answer:
Tyler is correct. The temperature dropped at a rate of about 4° per hour between 4 and 6, while the temperature dropped at about 2.25° per hour between 6 and 10.
Edit: Explanation
The question is asking about which window of time had a faster decline in temperature, not a larger total change in temperature.
In a 2 hour timeframe, the temperature dropped 8°. (4-6 PM)
In a separate 4 hour timeframe, the temperature dropped 9°. (6-10 PM)
To find which window had a faster change in temp, I took the total temperature drop for each timeframe, then divided it by the number of hours each drop took.
8° / 2 = 4° per hour for 4-6 PM
9° / 4 = 2.25° per hour from 6-10 PM
Since the speed at which the temperature dropped per hour was greater from 4-6 PM than 6-10 PM, Tyler was correct.
Answer:
i agree with Mai because she/he (im not really sure) said that the temperature changed quicker in the time between 6 and 10 pm. the temperature change was 9 in those 4 hours.
Step-by-step explanation:
well there's a 4 hour difference between all 3 of the times
4 pm - 6pm
25 - 17 = 8
8 degree difference
6 pm - 10 pm
17 - 8 = 9
9 degree difference
the temperature changed quicker during 6 pm to 10 pm