Answer:
The seats in the lower section are x= 1720 , in the upper section are 3x= 5160 and y=24,200 - 4x= 24,200 - 6880= 17320 tickets in the field.
Step-by-step explanation:
Let x represent the number of seats in the lower section then the number of seats in the upper section is 3x and y the number of seats in the field.
The equation can be written as
80x + 60 (3x) + 40 y= $1,140,000-----1
And x+ 3x+ y= 24,200------2
4x+ y= 24,200
or y= 24,200-4x----3
Solving Eq 1
80x + 180x + 40 y= $1,140,000
260x+ 40 y=$1,140,000-----4
Putting Eq 3 in Eq 4
260x+ 40 y=$1,140,000
260x+ 40(24,200-4x-)=$1,140,000
260x + 968,000- 160x= $1,140,000
100x= $1,140,000-968,000
100x= 172,000
x= 1720
The seats in the lower section are x= 1720 , in the upper section are 3x= 5160 and y=24,200 - 4x= 24,200 - 6880= 17320 tickets in the field.
Putting the values of x and y in Eq 1 we get the same revenue.
80x + 60 (3x) + 40 y= $1,140,000
80(1720) + 60 (5160) + 40( 17320)= $1,140,000
137600 + 309600 + 692800= $1,140,000
137600 + 1002400= $1,140,000
The total number of seats in the upper section is 5160, in the lower section is 1720 and the total number of seats in the field is 17320.
Given :
A racetrack charges $80 for each seat in the lower section, $60 for each seat in the upper section, and $40 for field tickets.There are three times the amount of seats in the upper section as the lower section. The revenue from selling all 24,200 tickets is $1,140,000.The following steps can be used in order to determine the total number of seats in each section:
Step 1 - In the lower section let the total number of seats be 'x'. So according to the given data, in the upper field, the total number of seats is '3x'. Now, let the total number of seats in the field be 'y'.
Step 2 - The linear equation that represents total revenue from the tickets.
[tex]\rm 80x + 60(3x)+40y = 1140000[/tex]
260x + 40y = 1140000 --- (1)
Step 3 - The linear equation that represents the total number of tickets is:
x + 3x + y = 24200
y = 24200 - 4x --- (2)
Step 4 - Substitute the value of y in equation (1).
260x + 40(24200 - 4x) = 1140000
x = 1720 tickets
Step 5 - Substitute the value of 'x' in equation (2).
y = 24200 - 4(1720)
y = 17320 tickets
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Simplified
2(x + 8) + 3(x -9)
Answer:
5x - 11
Step-by-step explanation:
Step 1: Write out expression
2(x + 8) + 3(x - 9)
Step 2: Distribute
2x + 16 + 3x - 27
Step 3: Combine like terms (x)
5x + 16 - 27
Step 4: Combine like terms (constants)
5x - 11
Two students raced their model cars down a track. The first car traveled
at 40 centimeters per second. The second car traveled at 45 centimeters
per second. If the cars started at the same time, how far apart were the
cars after 3 seconds?
The difference in speed is 45-30 = 5 centimeters per second.
5 centimeters per second x 3 seconds = 15 centimeters.
They were 15 centimeters apart
Eggs can be packaged 12 ( 1 dozen ) to a carton while English muffins are generally sold in packages of 8 . How many of each would you buy to make egg muffin sandwiches ( 1 egg per muffin ) so that you would use the same number of eggs and muffins with no extra eggs or muffins left over ? Explain how you solved the problem .
Answer:
2 cartons of eggs and 3 bags of English muffins
Step-by-step explanation:
2x12 = 24 and 3x8= 24
Which of these below correctly solves for y of
the equation 3x - 2 = 4y + 5?
Answer:
y=3/4x+−7/4
Step-by-step explanation:
Step 1: Flip the equation.
4y+5=3x−2
Step 2: Add -5 to both sides.
4y+5+−5=3x−2+−5
4y=3x−7
Step 3: Divide both sides by 4.
4y4=3x−74
Complete the square
x2 – 24x – 5 = 0
Answer:
(x -12)^2 -149 = 0
Step-by-step explanation:
Add and subtract the square of half the x-coefficient:
x^2 -24x +(-24/2)^2 -(-24/2)^2 -5 = 0
(x -12)^2 -149 = 0
Which is greater 4.08 or 4.1
Answer:
4.1 is greater
Step-by-step explanation:
4.1 is greater than 4.08 by 0.02 units
Answer:
4.1
Step-by-step explanation:
4.1 can also be written as 4.10 . Now if we compare 4.08 & 4.10 then in 4.10 , then
4.10 > 4.08 (because 0.10 is greater than 0.08 by 0.02 units )
1. Simplify (x2 + 3) - (4x2 – 7)
Answer:
3x^2
———
28
Step-by-step explanation:
1 . x^2
Simplify ——
7
2. 3 x2
— • ——
4 7
3. 3
Simplify —
4
4.3 x2
— • ——
4 7
A tennis tournament starts with 117 players. If a player is eliminated after losing three matches, what is the least possible number of matches played when four players are left?
The least possible number of matches played when 4 players are left is 37 matches.
The given parameters;
total number of players in the tournament = 117 playersnumber of players to be eliminated after losing 3 matches = 1let the number of matches played when 4 players are left = nThe least possible number of matches played when 4 players are left is calculated as;
117 - 1(3n) = 4
117 - 3n = 4
3n = 117 - 4
3n = 113
divide both sides by 3
[tex]n = \frac{113}{3} \\\\n = 37.67 \\\\n \approx 37 \ matches[/tex]
Thus, the least possible number of matches played when 4 players are left is 37 matches.
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Function or not ? Please help me thanks
Answer:This graph parabola is not a function
What is the value of the expression
x2 + y2 + x - y
when x = -1 and y = 3
Answer:
ahhh i dont remeber
please help SOS. I have an exam tomorrow. This theme will be on exam
Answer:
(x - 1) (x + 3) (x + 5)
Step-by-step explanation:
The constant at the end (-15) can only be factored into 1, 3 and 5, assuming integers. Then, you only have to choose which one of these gets the minus sign.
I'm not sure if this approach will work in general, but it works for this one.
Is 3 a whole number
I will give brainliest answer
Answer:
Isnt it 12? the first rectangle says 2 on one side and 6 on another. The rectangle didn't change shape, but position.
Am I right??
Solve for x.
X +1=10
8
Answer:
Step-by-step explanation:
x + 1 = 10
x = 9
Answer:
x = 9
Step-by-step explanation:
x + 1 = 10
=> x = 10 - 1
=> x = 9
The output voltage of a power supply is normally distributed with mean 5 V and standard deviation 0.02 V. If the lower and upper specifications for voltage are 4.95 V and 5.05 V, respectively, what is the probability that a power supply selected at random will conform to the specifications on voltage
Answer:
0.9876
Step-by-step explanation:
Given a normal distribution :
Mean(m) of distribution = 5V
Standard deviation (sd) = 0.02 V
Lower voltage specification = 4.95
Upper voltage specification = 5.05
Using the Zscore formula :
(x - m) / sd
x = 4.95
(4.95 - 5) / 0.02
-0.05 / 0.02 = -2.5
P(Z ≤ -2.5) = 0.0062
x = 5.05
(5.05 - 5) / 0.02
0.05 / 0.02 = 2.5
P(Z ≤ 2.5) = 0.9938
P(Z ≤ 2.5) - P(Z ≤ -2.5)
0.9938 - 0.0062 = 0.9876
Find the missing power in the following calculation:108/9 · 10? = 10
Answer:
108/9 needs to be raised to the power of 0
Step-by-step explanation:
Any number that has an exponent of 0 equals 1. So:
(108/9)^0x10=10
-4.2 + 3.3 and I’ve been getting -7.5
Answer: Your answer should be -0.9
Step-by-step explanation:
You just multiply the numbers in the exact order it is in
Exercise 4.28: Keeping water supplies clean requires regular measurement of levels of pollutants. The measurements are indirect—a typical analysis involves forming a dye by a chemical reaction with the dissolved pollutant, then passing light through the solution and measuring its “absorbance.” To calibrate such measurements, the laboratory measures known standard solutions and uses regression to relate absorbance and pollutant concentration. This is usually done every day. Here is one series of data on the absorbance for different levels of nitrates. Nitrates are measured in milligrams per liter of water. Data can be found on Crunchit>File>Load from> Chapter 4> Exercise 28. b) It is appropriate to find the correlation (r) because the form of the relationship is c) Chemical theory says that these data should lie on a straight line. If the correlation is not at least 0.997, something went wrong, and the calibration procedure is repeated. Find the correlation using Crunchit!. Correlation r = (Enter it exactly as it appears on Crunchit!) d) The calibration process sets nitrate level and measures absorbance. At this point it appears as if Nitrate level is x and the absorbance is y but the roles of x and y get switched. Once established, the linear relationship will be used to estimate the nitrate level in water from a measurement of absorbance. If we are going to estimate the Nitrate level then that becomes the response variable. What is the equation of the line used for estimation? Write it in the form ____ = _____ + ______*_____. The two variables are "Nitrates", "Absorbance". e) What is the estimated nitrate level in a water specimen with absorbance 40? Your answer must have two decimal places. mg/liter f) Based on the correlation r we can say that the predicted value (estimate) of nitrate level is (very good/good/bad) g) The percent of the variation in Nitrate s that can be explained by absorbance is %. (two decimal places) h) We will only be able to use the regression equation to make predictions of nitrates for absorbance between nd . That is, we cannot plug in a number outside this range into the the regression equation to make a prediction
Answer:
..
Step-by-step explanation:
Bill drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Bill
drove home, there was no traffic and the trip only took 5 hours. If his average rate was 18 miles per hour faster on the
trip home, how far away does Bill live from the mountains?
Do not do any rounding.
Answer: 315 miles
Step-by-step explanation:
let onward speed = x mph, then distance = 7x
return speed = (x+18) mph, (same) distance = 5(x+18)
equating the two,
7x = 5(x+18)
2x = 90 ==> x = 45 mph
so distance = 7*45 = 315 miles
scale used 1:250000 amd the distance is 8.5 mile whats the actual distance
Answer:
.
Step-by-step explanation:
The coordinates of point P are (7,1). What are the coordinates of the image of P after R90° about the origin?
The coordinates of point P are (7,1). What are the coordinates of the image of P after R90° about the origin
Answer: (-1,7)
The coordinates of the image of the point P(7, 1) after 90° rotation about the origin is P'(-1, 7).
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
One of the transformation is Rotation.
Rotation is the type of transformation where the image is the resultant of transformation made by rotation to a certain degree.
A point (x, y) when rotated 90° counterclockwise results in another point (-y, x).
Here the given point is (7, 1).
After rotation through 90°, the point is (-1, 7).
Hence the image has the coordinates (-1, 7).
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Dan Pawlik is paid a straight commission of $5.75 for each item he sells. Last month he sold 103 items. Find his estimated and exact commissions.
Answer:
[tex]Estimated\ Commission = \$618[/tex]
[tex]Exact\ Commission = \$592.25[/tex]
Step-by-step explanation:
Given
[tex]Commission = \$5.75[/tex]
[tex]Items = 103[/tex]
Required
Find the estimate and exact commission
Estimate Commission
First, we need to approximate the given commission
[tex]Commission = \$6[/tex]
[tex]Estimated\ Commission = Commission * Items[/tex]
[tex]Estimated\ Commission = \$6 * 103[/tex]
[tex]Estimated\ Commission = \$618[/tex]
Exact Commission
[tex]Exact\ Commission = Actual\ Commission * Items[/tex]
[tex]Exact\ Commission = \$5.75 * 103[/tex]
[tex]Exact\ Commission = \$592.25[/tex]
luke can paint 91 portraits in 7 weeks. how many portraits does he paint each week?
Answer:
the answer is 13, because you need to divide 91 by 7.
Find the area of the shaded region.
Answer:555
Step-by-step explanation:558 +3
You are going to the mall with your friends and you have $200 to spend from your recent birthday money. You discover a store that has all jeans for $25 and all dresses for $50. You really, really want to take home 6 items of clothing because you "need" that many new things.
Answer:
4 Jeans and 2 dresses
Step-by-step explanation:
25×4=100
50×2=100
You want to take home 6 items of clothing. you can buy 4 jeans and 2 all dresses using 200 dollars .
Given :
You discover a store that has all jeans for $25 and all dresses for $50
Total of 6 items needed
Total amount you can spend is 200 dollars
Let x be the number of jeans and y be the number of all dresses
Lets frame equations using x and y
Total of 6 items ,
[tex]x+y=6\\y=6-x[/tex]
all jeans is for $25 and all dresses is for $50. total of 200 dollars can spend
[tex]25x+50y=200[/tex]
Substitute y=6-x in second equation
[tex]25x+50(6-x)=200\\25x+300-50x=200\\-25x+300=200\\-25x+300-300=200-300\\-25x=-100\\\frac{-25x}{-25}=\frac{-100}{-25}\\x=4[/tex]
Now substitute x=4 in first equation
[tex]y=6-x\\y=6-4\\y=2[/tex]
you can by 4 jeans and 2 all dresses
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How do you do these questions?
Step-by-step explanation:
The width of each interval is Δx = (4−1)/6 = 1/2.
a) Evaluate the function at the beginning and end of each interval.
f(x) = 7√(ln x)
f(1) = 7√(ln 1) = 0
f(1.5) = 7√(ln 1.5) ≈ 4.4573300
f(2) = 7√(ln 2) ≈ 5.8278823
f(2.5) = 7√(ln 2.5) ≈ 6.7006153
f(3) = 7√(ln 3) ≈ 7.3370295
f(3.5) = 7√(ln 3.5) ≈ 7.8348826
f(4) = 7√(ln 4) ≈ 8.2418702
Calculate the area of each trapezoid.
T₁ = ½ (0 + 4.4573300) (1/2) = 1.1143325
T₂ = ½ (4.4573300 + 5.8278823) (1/2) = 2.5713031
T₃ = ½ (5.8278823 + 6.7006153) (1/2) = 3.1321244
T₄ = ½ (6.7006153 + 7.3370295) (1/2) = 3.5094112
T₅ = ½ (7.3370295 + 7.8348826) (1/2) = 3.7929780
T₆ = ½ (7.8348826 + 8.2418702) (1/2) = 4.0191882
The total area is therefore:
T = 1.1143325 + 2.5713031 + 3.1321244 + 3.5094112 + 3.7929780 + 4.0191882
T = 18.139337
b) Evaluate the function at the midpoint of each interval.
f(1.25) = 7√(ln 1.25) ≈ 3.3066651
f(1.75) = 7√(ln 1.75) ≈ 5.2365230
f(2.25) = 7√(ln 2.25) ≈ 6.3036165
f(2.75) = 7√(ln 2.75) ≈ 7.0404861
f(3.25) = 7√(ln 3.25) ≈ 7.5996115
f(3.75) = 7√(ln 3.75) ≈ 8.0477348
Calculate the area of each rectangle.
M₁ = (3.3066651) (1/2) = 1.6533325
M₂ = (5.2365230) (1/2) = 2.6182615
M₃ = (6.3036165) (1/2) = 3.1518082
M₄ = (7.0404861) (1/2) = 3.5202431
M₅ = (7.5996115) (1/2) = 3.7998057
M₆ = (8.0477348) (1/2) = 4.0238674
The total area is therefore:
M = 1.6533325 + 2.6182615 + 3.1518082 + 3.5202431 + 3.7998057 + 4.0238674
M = 18.767318
c) Simpson's rule can be calculated as:
S₆ = Δx/3 [f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + 2f(x₄) + 4f(x₅) + f(x₆)]
S₆ = (1/2)/3 [0 + 4(4.4573300) + 2(5.8278823) + 4(6.7006153) + 2(7.3370295) + 4(7.8348826) + 8.2418702]
S₆ = 18.423834
Qual a expressão algébrica representa o perímetro das figuras a seguir:
Answer:
mom
Step-by-step explanation:
Help me I need help with this factorization of 630?
Answer:
The prime factors are: 2 x 3 x 3 x 5 x 7
or also written as { 2, 3, 3, 5, 7 }
Written in exponential form: 2 x 3 × 3 x 5 ×1 x 7×1
A soccer team is having a car wash. The team spent $55 on supplies. They earned $275, including tips. The team’s profit is the amount the team made after paying for supplies. Write a sum of integers that represents the team’s profit.
Answer:
-55 + 275
Step-by-step explanation:
You add the total earned to the expenses. The expenses are a negative integer.
-55 + 275
PLEASE SOMEONE HELP, ZERO CLUE HOW TO DO THIS, pleaseeeee
Answer:
4) 15) 4Step-by-step explanation:
You just need to find the corresponding coordinates on the graph by using one of the coordinates and the graph.
4) Find f(0.8)
Find the point 0.8 on the x-axis and check the point the vertical line from that point crosses the graph. See what that point is on the y-axis.
This is point 1
The answer is 1, the point has coordinates (0.8, 1)
5) Find x when f(x) = 3
Find the point of the graph against 3 on the y- axis
And check what is corresponding point on x-axis, this is point 4
So the answer is 4, the point has coordinates of (4,3)
Answer:?
Step-by-step explanation:
