Answer:
\(\boxed {\boxed {\sf b=60 \ meters}}\)
Step-by-step explanation:
This is a right triangle because of the small square in the corner representing a 90 degree angle.
Therefore, we can use the Pythagorean Theorem.
\(a^2+b^2=c^2\)
Where a and b are the legs and c is the hypotenuse.
80 and b are the legs, because they form the right angle. 100 is the hypotenuse because it is opposite the right angle.
\(a=80 \\b=b \\c=100\)
\((80)^2+b^2=(100)^2\)
Solve the exponents.
(80)²=80*80= 6400 (100)²= 100*100= 10000\(6400+b^2=10000\)
Solve for the unknown by isolating the variable. First, subtract 6400 from both sides.
\(6400-6400+b^2=10000-6400\\b^2=3600\)
Take the square root of both sides.
\(\sqrt {b^2}= \sqrt {3600}\\b=60 \\b= 60 \ m\)
The missing leg is 60 meters.
Express the ratio below in its simplest form
12:6
Answer:
12/6 simplified to lowest terms is 2/1.
Step-by-step explanation:
Divide both the numerator and denominator by the HCF
12 ÷ 6
6 ÷ 6
Reduced fraction:
12/6 simplified to lowest terms is 2/1.
Answer: 2:1
Step-by-step explanation:
12:6
Both left and right can be divided by 6, like a fraction, reduce.
= 2:1
PLEASE HELP URGENT!! giving 20pts and brainliest!!
Rule: opposite sides are equal/ angles are equal.
For the real-valued functions g(x)=4x−1 and h(x)=sqrt(x−5) , find the composition g∘h and specify its domain using interval notation.
g(x) = 4x - 1 and
h(x) = sqrt(x - 5), we are to find the composition g ∘ h and specify its domain using interval notation. Composition of functions: Composition of function g with h means g(h(x)), i.e., the output of function h is passed as input to function g.
g(h(x)) = g(sqrt(x - 5))
= 4 * sqrt(x - 5) - 1Thus, the composition of functions g and h is g ∘ h
= 4 * sqrt(x - 5) - 1.To specify the domain of g ∘ h, we need to consider the domain of h and the restrictions imposed by g's domain. The domain of h is obtained by considering the argument of the square root function.
Since the argument can't be negative, we have:x - 5 ≥ 0 => x ≥ 5Therefore, the domain of h is [5, ∞).Now, the domain of g ∘ h is the set of all x in the domain of h such that (g ∘ h)(x) exists. Since g(x) exists for all x in R, the only restriction on the domain of g ∘ h is the domain of h itself, i.e., the set [5, ∞).Thus, the domain of g ∘ h is [5, ∞). Answer: [5, ∞).
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two robots can do a task in 5 min, working together. the first robot working alone can do the task in 15 minutes
To solve this problem, we can use the concept of rates and the formula:
Rate = Work / Time
Let's denote the rate of work for the first robot as R1 (in units of tasks per minute) and the rate of work for the second robot as R2 (in units of tasks per minute).
We are given that when both robots work together, they can complete the task in 5 minutes. So, their combined rate of work is:
R1 + R2 = 1 task / 5 minutes
We are also given that the first robot working alone can complete the task in 15 minutes. Therefore, its rate of work is:
R1 = 1 task / 15 minutes
Now, we can solve the system of equations:
R1 + R2 = 1/5
R1 = 1/15
To find R2, we substitute the value of R1 into the first equation:
1/15 + R2 = 1/5
To combine the fractions on the left side, we need a common denominator:
(1 + 3R2)/15 = 1/5
Cross-multiplying gives:
5 + 15R2 = 15
Subtracting 5 from both sides:
15R2 = 10
Dividing both sides by 15:
R2 = 10/15 = 2/3
Therefore, the rate of work for the second robot is 2/3 tasks per minute.
To find the time it would take for the second robot to complete the task alone, we can use the formula:
Time = Work / Rate
Time = 1 task / (2/3 tasks per minute) = 3/2 minutes
So, the second robot can complete the task alone in 3/2 minutes, which is equivalent to 1 minute and 30 seconds.
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PLEASE HELP!!
The diagram shows the cross-section ABCD of a sculpture in the shape of
a prism
with perpendicular height 9 cm.
AB = 14 cm, CD = 8cm, AD = 12cm and BC = 10cm
The height of the prism is also 9 cm.
What is the total surface area of the sculpture in cm2?
Type each step of your working on a separate line.
Answer:
99 (cm^2)
Step-by-step explanation:
Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.
The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).
One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.
Then, add the area of the three parts.
72+9*sqrt(19)/2+9*(6-sqrt(19))/2=99 (cm^2)
abc is a right triangle with ab=ac. bisector of <a meets bc at d. prove that bc = 2ad.
Answer:
Let ac=ab=5
With this, bc= 5√2
Step-by-step explanation:
So to find ad, Let ad be x
5√2=(2)(x)
(5√2/2)= x
This proves that bc=2ad
What type of angles are these?
Answer:
I believe that the answer is the 5th one (Adjacent angles).
Step-by-step explanation:
Adjacent angles are two angles that share a common side and vertex.
Complementary angles are mostly the same but their degrees add up to 90.
Supplementary angles are similar to complementary angles but add up to 180 degrees.
Vertical angles intersect though each other and are not perpendicular (which perpendicular angles also intersect, but all angles are 90 degrees and they all add up to 360 degrees).
Linear angles are like their name, they are linear. And, they usually intersect like vertical angles. Have a linear relationship between the angles.
The angles shown on the pictures are not any of the answers, except adjacent. They don't add up to 90 degrees, so they are not complementary. They share the same common side and vertex. These facts lead up to one answer which is adjacent. These angles are adjacent.
Hope this explanation helps! :)
It costs $100 to manufacture and ship to a vendor a large batch of souvenir hats, but each hat that is in the shipment brings in revenue of $5 to the manufacturer. Write a function rule for the amount of money the manufacturer earns from the shipment of x hats.
Answer:
5x - 100
Step-by-step explanation:
Answer:
P(x) = 5x - 100
Step-by-step explanation:
7. Solve this equation: y/9 + 5 = 0.
O A.y=-5
O B. y = -45
O C. y = 45
O D. y = 5
Answer:
\( \frac{y}{9} + 5 = 0 \\ \frac{y}{9} = - 5 \\ y = - 45\)
(b) suppose you want to estimate the average age of all boeing 727 airplanes now in active domestic u.s. service. you want to be 95% confident and you want a margin of error of 2 years. suppose the population standard deviation is 6.24 years. how large a sample should you take?
37.40 is large a sample should you take in confidence interval.
What does confidence interval mean?
Your estimate's mean plus and minus the range of that estimate's fluctuation is called a confidence interval. If you repeat your test, you can expect your estimate to fall between these numbers with a reasonable degree of certainty. In statistics, confidence is another word for probability.For the 95% confident interval of population mean , the margin of error (ME)
ME = Z 1 - 0.05/2 5/√n
2 = 1.96 * 6.24/√n
n = ( 1.94 * 6.24/2)²
n = 37.40
the required sample size (n) is 38 .
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a study showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. to investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they believed that supermarket ketchup was as good as the national brand ketchup. (a) formulate the hypotheses that could be used to determine whether the percentage of supermarket shoppers who believe that the superma
As described in probability Null hypothesis is 0.64
what is probability?
Probability is a synonym for potential. It is a field of mathematics that examines how random events happen. From zero to one, the value is expressed. To forecast the likelihood of events, probability has been introduced in mathematics.
Solution:
Null hypothesis H0 : p = 0.64
Alternate hypothesis Ha : p ≠ 0.64
therefore Null hypothesis is 0.64
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Scientific notation
9.78 × 10^5 - 732,000
It has to be either 2.46 × 10^5 or 2.46 × 10^3
Answer:
\(2.46\times 10^5\)
Step-by-step explanation:
\(9.78 \times 10^5 - 732,000\\= 9.78 \times 10^5 - 7.32 000\times 10^5\\= 9.78 \times 10^5 - 7.32\times 10^5\\= 2.46\times 10^5\)
2 1/3 · 3 1/2
Could someone give me the product of this math problem?
Answer:
8.16666666667
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Julia and Kellen are participating in a read-a-thon to raise money for charity. The money each of them raises will be a mix of fixed and per-page
donations.
Function / models the total amount, in dollars, that Julia will raise if she reads x pages:
j(x) = 1.65x + 17.31.
Function k models the total amount, in dollars, that Kellen will raise if he reads x pages:
k(x) = 0.90x + 9.28.
The function
If they both read 500 pages, the difference will be $
entum. All rights reserved.
represents the difference between the amounts Julia and Kellen will raise when they both read x pages.
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1
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The difference between the amounts Julia and Kellen will raise when they both read x pages is represented by the function j(x) - k(x) = 0.75x + 8.03. And if they both read 500 pages, the difference will be 383.03.
What is subtraction?Subtraction is a mathematic operation. Which is used to remove terms or objects in an expression.
Given, Julia and Kellen are participating in a read-a-thon to raise money for charity.
The money each of them raises will be a mix of fixed and per-page donations.
Function / models the total amount, in dollars, that Julia will raise if she reads x pages:
j(x) = 1.65x + 17.31.
Function k models the total amount,
in dollars, that Kellen will raise if he reads x pages:
k(x) = 0.90x + 9.28.
To find the difference between the amounts Julia and Kellen will raise when they both read x pages:
j(x) - k(x) = 1.65x + 17.31 - (0.90x + 9.28).
j(x) - k(x) = 1.65x + 17.31 - 0.90x - 9.28.
j(x) - k(x) = 0.75x + 8.03.
If they both read 500 pages, the difference will be;
j(500) - k(500) = 0.75(500) + 8.03 = 375 + 8.03 = 383.03
Therefore, if they both read 500 pages, the difference will be 383.03.
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The complete question is:
Select the correct answer from each drop-down menu.
Julia and Kellen are participating in a read-a-thon to raise money for charity. The money each of them raises will be a mix of fixed and per-page
donations.
Function / models the total amount, in dollars, that Julia will raise if she reads x pages:
j(x) = 1.65x + 17.31.
Function k models the total amount, in dollars, that Kellen will raise if he reads x pages:
k(x) = 0.90x+9.28.
The function
If they both re
h(x)=0.75x+26.59
h(x) = 0.75x+8.03
h(x) = 2.55x+8.03
h(x) = 2.55x+26.59
represents the difference between the amounts Julia and Kellen will raise when they both read x pages.
ence will be $
Reset
Next
A common experiment in organic chemistry labs involvs the dehydration of cyclohexanol (an alcohol) to form cyclohexene. Would infrared spectroscopy help determine if your reaction was successful
Yes, infrared spectroscopy would indeed be helpful in determining,
if the dehydration reaction of cyclohexanol to form cyclohexene was successful in an organic chemistry lab.
Infrared spectroscopy (IR spectroscopy) is a widely used analytical technique in organic chemistry,
That provides information about the functional groups present in a compound.
It measures the absorption of infrared radiation by the sample,
Which corresponds to the vibrations of different chemical bonds in the molecule.
In the case of cyclohexanol and cyclohexene, there is a significant difference in their functional groups.
Cyclohexanol contains an -OH group alcohol, whereas cyclohexene contains a carbon-carbon double bond alkene.
These functional groups have characteristic absorption bands in the IR spectrum.
By comparing the IR spectra of the starting material cyclohexanol and the desired product cyclohexene.
One can determine if the dehydration reaction was successful.
The presence or absence of characteristic absorption bands for the alcohol (-OH) and the alkene (C=C).
In the product spectrum can provide evidence of the reaction's success.
If the desired cyclohexene is formed, the absorption band corresponding to the -OH group should disappear,
Indicating the removal of the alcohol functionality.
Additionally, a new absorption band corresponding to the C=C bond should appear in the product spectrum.
Therefore, IR spectroscopy can be a valuable tool in confirming the success of the dehydration reaction and characterizing the functional groups present in the resulting product.
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John rode his dirt bike 45 miles in two hours. At this rate, how many miles will he travel in 1/2 an hour?
Answer:
11.25 miles
Step-by-step explanation:
To figure out how many miles John will travel in 1/2 an hour, we can use the following formula:
distance = rate x time
We know the rate, which is the number of miles John can travel per hour. We can find this by dividing the total distance by the total time:
rate = distance / time
rate = 45 miles / 2 hours
rate = 22.5 miles per hour
Now we can use this rate and the given time of 1/2 an hour to find the distance:
distance = rate x time
distance = 22.5 miles per hour x 1/2 hour
distance = 11.25 miles
Therefore, John will travel 11.25 miles in 1/2 an hour at this rate.
How do you describe the parts of a circle?
The parts of circle are given below.
What is a circle?
A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.
The equation of circle in the plane is given as:
(x-h)^2 + (y-k)^2 = r^2
where (x, y) are the coordinate points
(h, k) is the coordinate of the center of a circle
and r is the radius of a circle.
and Area of circle = πr²
Circumference of circle=2πr
Now,
Parts of circle:-The parts of a circle are the radius, diameter, circumference, arc, chord, secant, tangent, sector and segment
as shown in image.
Main parts are as described below:
Radius
The distance from the center of a circle to the outside.
Diameter
The distance across the circle going through the centre.
The diameter is twice the radius.
Circumference
The distance once around the circle.
Arc
A part of the circumference.
Major arc – A major arc is greater than half the circumference.
Minor arc – A minor arc is less than half the circumference.
Area
The space inside a 2D shape.
Chord
A line segment going from one point of the circumference to another but does not go through the center.
Secant
A line that goes through the circle at two points.
Tangent
A straight line that touches the circle at a single point only.
Sector
A section of the circle created by two radii.
Major sector – A major sector has a central angle which is more than
Minor sector – A minor sector has a central angle which is less than
Semi circle
Half of a circle. Could be considered a sector where the circle has be split by the diameter.
Quadrant
A quarter of a circle, created by two perpendicular radii.
Segment
A section of the circle created by a chord.
Major segment – a segment where the arc is greater than half the circumference.
Minor segment – a segment where the arc is less than half the circumference.
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Are two line segments always similar
Answer:
Yes
Step-by-step explanation:
Similar means same shape, different size. Line segments always have the same shape.
Can someone PLEASE help me with this?
The factorization of 3x² - 6x - 24 will be (x + 8)(x - 10).
How to express the valueThe equation is a polynomial with leading coefficient 3, the equations os in standard form, where the leading coefficient is positive and the terms are ordered from highest degree to lowest degree.
To solve thw equation goes thus:
3x² - 6x - 24
Divide through by 3
x² - 2x - 80
x² - 10x + 8x - 80
x(x - 10) + 8(x - 10)
(x + 8)(x - 10)
The value will be (x + 8)(x - 10).
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Answer the following questions: a. Explain what Type / and Type // errors are. o b. How can a researcher reduce the chance of committing a Type I error? o c. How can a researcher reduce the chance of making a Type II error? o d. What affect does changing the probability of committing one type of error have on making the other type of error? 0 e. Explain what statistical power is. 0 f. What are the effects of changing the probability of committing both Type I and Type II errors on the likelihood of rejecting the null hypothesis? o
A.Type I and Type II errors are two types of errors that can occur in hypothesis testing.
D. Changing the probability of committing one type of error can have an inverse effect on the other type of error.
F. Changing the probability of committing both Type I and Type II errors affects the likelihood of rejecting the null hypothesis.
a. Type I error refers to rejecting the null hypothesis when it is actually true, while Type II error refers to accepting the null hypothesis when it is actually false.
b. Researchers can reduce the chance of committing a Type I error by using a stricter significance level, such as lowering the p-value threshold.
c. Researchers can reduce the chance of making a Type II error by increasing the sample size or conducting a more powerful study.
d. For example, reducing the probability of Type I error increases the probability of Type II error and vice versa.
e. Statistical power refers to the ability of a statistical test to detect a true effect or relationship when it exists. It is influenced by factors such as sample size, effect size, and significance level.
f. As the probability of one type of error decreases, the probability of the other type of error increases, impacting the overall reliability of hypothesis testing.
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An arithmetic sequence has common difference d. the series sums s2, s5 and s7 themselves form an arithmetic sequence. find, in terms of d, the common difference for this sequence.
To find the common difference for the arithmetic sequence formed by the series sums s2, s5, and s7, let's analyze the given information.
The sum of the second term (s2), fifth term (s5), and seventh term (s7) themselves form an arithmetic sequence.
Let's denote the second term as a + 2d, the fifth term as a + 5d, and the seventh term as a + 7d, where 'a' is the first term and 'd' is the common difference.
Using the arithmetic sequence formula for the sum of terms, we have:
s2 = (2/2) * (2a + (2-1)d) = 2a + d
s5 = (5/2) * (2a + (5-1)d) = 5a + 6d
s7 = (7/2) * (2a + (7-1)d) = 7a + 12d
Since the sums s2, s5, and s7 themselves form an arithmetic sequence, we can express their differences:
s5 - s2 = (5a + 6d) - (2a + d) = 3a + 5d
s7 - s5 = (7a + 12d) - (5a + 6d) = 2a + 6d
Now, equating the differences, we have:
3a + 5d = 2a + 6d
Simplifying the equation, we find:
a = d
Therefore, the common difference for the arithmetic sequence formed by the series sums s2, s5, and s7 is 'd'.
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What is the simplified expression for negative 2 a squared b a squared minus 5 a b 3 a b squared minus b squared 2 (a squared b 2 a b)? a squared minus 9 a b 3 a b squared a squared 9 a b minus b squared 3 a b squared 10 a b a squared minus b squared 3 a b squared a squared minus b squared minus a b
The simplified expression for the given expression is "a squared minus b squared minus a b."
To simplify the given expression, let's break it down step by step:
- Negative 2 a squared b a squared: This term remains the same in the simplified expression.
- Minus 5 a b: This term remains the same in the simplified expression.
- 3 a b squared minus b squared: This can be simplified as (3 a b squared) - (b squared) = 3 a b squared - b squared.
- 2 (a squared b 2 a b): This can be simplified as 2 (a squared b) - 2 (a b) = 2 a squared b - 2 a b.
Now, combining all the simplified terms, we have:
-2 a squared b a squared - 5 a b + 3 a b squared - b squared + 2 a squared b - 2 a b
Simplifying further, we can group like terms:
-2 a squared b + 2 a squared b - 5 a b - 2 a b + 3 a b squared - b squared
Combining like terms, we get:
0 - 7 a b + 3 a b squared - b squared
Finally, rearranging the terms in decreasing order of degree, we have:
- b squared + 3 a b squared - 7 a b
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Gwen and her sister started watching a cartoon movie at 11:00 A.M. The movie was 2 hours and 5 minutes long. After the movie, they played a card game for 1 hour and 15 minutes and then played soccer in the backyard for 50 minutes. What time was it when Gwen and her sister finished playing soccer?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Answer: 2:10 PM
Step-by-step explanati
Janelle is considering two options for saving money. One option earns simple interest while the other option earns interest compounded monthly. If there are no additional deposits or withdraws, how much more will Janelle earn with the compound interest option? Assume Janelle deposits $3,000 at 3% interest for 7 years for both options
Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.
The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:
\(A = P(1 + r/n)^{(nt)}\)
Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years
In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.
For the simple interest option, the interest is calculated using the formula:
I = P * r * t
Where:
I is the total interest earned
Using the given values, we can calculate the interest earned with simple interest:
I = 3000 * 0.03 * 7
I = 630
Now, let's calculate the total amount earned with the compound interest option.
Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:
r = 0.03/12
t = 7 * 12
Using these values, we can calculate the total amount with compound interest:
\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)
A ≈ 3,729.19
To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:
Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19
Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.
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Lisa reads 1/2 of a 200 page book
in 4 days. How many days
would it take Lisa to read a 600
page book?
Answer: 24 days
Step-by-step explanation:
Takes her 4 days to read 1/2 of a 200 page book, or 100 pages.
4 days = 100 pages
X days = 600 pages
24 days = 600 pages
7x^2-2x+1-(9x^2+2x-1)
Answer:
\(-2x^2-4x+2\)
Step-by-step explanation:
\((7x^2-2x+1)-(9x^2+2x-1)=\\(7x^2-9x^2)+(-2x-2x)+(1+1)=\\-2x^2-4x+2\)
Hope this helps!
Which term can be added to both sides of the equation
by completing the square?
+
a
a so that the equation can be solved
2
O
2a
O
ca.
Help please
Step-by-step explanation:
my instagram account bdq.frk follow please
Historically, the members of the chess club have had an average height of 5′ 6′′ with a standard deviation of 2". What is the probability of a player being between 5′ 2′′ and 5' 6"? (Submit your answer as a whole number. For example if you calculate 0.653 (or 65.3% ), enter 65. )
The probability of approximately 48% that a player will have a height between 5'2" and 5'6".
To calculate the probability of a player being between 5'2" and 5'6" given that historically, the members of the chess club have had an average height of 5'6" with a standard deviation of 2", we can use the standard normal distribution.
First, we need to convert the heights to z-scores using the formula:
z = (x - μ) / σ
where x is the height we want to find the probability for, μ is the mean height, and σ is the standard deviation.
For 5'2":
z = (62 - 66) / 2 = -2
For 5'6":
z = (66 - 66) / 2 = 0
Next, we can use a standard normal distribution table or calculator to find the area under the curve between these two z-scores.
Using a standard normal distribution table, we can find that the area to the left of z = -2 is 0.0228 and the area to the left of z = 0 is 0.5. Therefore, the area between z = -2 and z = 0 is:
0.5 - 0.0228 = 0.4772
Multiplying this by 100 gives us a probability of approximately 48% that a player will have a height between 5'2" and 5'6".
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for a certain art exhibit, a museum sold admission tickets to groups of 30 people every 5 minutes from 9:00 in the morning to 5:55 in the afternoon, inclusive. the price of a regular admission ticket was $10 and the price of a student ticket was $6. if on one day 3 times as many regular admission tickets were sold as student tickets, what was the total revenue from ticket sales that day?
Using Algebra operation,
the total revenue from ticket sales on that day is $ 3444..
We have given the following information,
timing of museum for entry is 9:00 am to 5:55pm. i.e 8 hours 55 minutes .
price of ticket for a regular admission= $10
price of ticket for a student admission = $6
30 people's admission in every 5 minutes so,
inclusive there are 9×12=108 five-minute intervals, total of tickets were sold = 108× 30
= 3240
let x student and 3x regular tickets were sold on that day.
then, x+3x= 108× 30 –> x= 3240/4 = 810
put x= 7560 in above formula, for regular admission, 3x=3× 81 = 243
So, the total revenue from ticket sales that day was 243×$10 + 810×$6 = $2430 + $4860
= $7290
Hence, total revenue from tickect sales is $7290.
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Order the numbers from least to greatest.
1/8, 5/7, 0.35,0.39, 9/10
Answer:
1/8, 0.35, 0.39, 5/7, 9/10
Step-by-step explanation:
1/8 = 0.125
5/7 = 0.714
0.350
0.390
9/10 = 0.900
now let's order them from least to greatest:
0.125 , 0.350 , 0.390 , 0.714 , 0.900
= 1/8, 0.35, 0.39, 5/7, 9/10
if you have trouble with these types of problems change them all into decimals which will make things easier!
:D