Solving a system of equations, we conclude that 35 tickets for movie a were sold
How many tickets did movie a sell?
Let's define the variables:
x = tickets of movie a sold.y = tickets of movie b sold.Here we know that a total of 47 tickets were sold, then:
x + y = 47
And they sold for a total of $200, then:
x*$4 + y*$5 = $200
So we have a system of equations:
x + y = 47
x*$4 + y*$5 = $200
We want to solve this for x, then we need to isolate the variable y in one of the equations, doing that in the first one we get:
y = 47 - x
Now we can replace that in the other equation to get:
x*$4 + (47 - x)*$5 = $200
x*$4 + $235 - x*$5 = $200
$235 - x*$1 = $200
$235 - $200 = x*$1
$35 = x*$1
$35/$1 = x = 35
This means that 35 tickets for the movie a were sold.
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In 2002, a school population was 1655. By 2008 the population had grown to 2711.
1) How much did the population grow between the year 2002 and 2008?
QUESTION 8 Nigel received a student loan for $9467. If his tuition was $4997.94, textbook costs $854.84, student fees $702.88, and school supplies $80.41, how much did Nigel have left after paying all his school related expenses? Round your answer to the nearest cent. 3 poin
At a berry farm, Clayton picks 1 1/4
cups of blackberries and twice as many raspberries. He takes the berries home and uses them to make mixed-berry muffins. If Clayton needs 3/4
of a cup of mixed berries for each batch of muffins, how many batches can he make?
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
Answer: 1 1/4 batches of muffins
Step-by-step explanation:
multiply 1 1/4 (5/4) by 2 and get 5/2 (2 1/2)next add 5/2 (10/4) and 5/4 and get 15/4divide 15/4 by 3 and get 5/4simplify that out into 1 1/4What are the degree and leading coefficient of the polynomial? 18u - 8u^2 -9 + u^7
The leading coefficient and degree of the polynomial 18u - 8u^2 -9 + u^7 are 1 and 7 respectively.
According to the given question.
We have a polynomial 18u - 8u^2 -9 + u^7.
As we know that the leading coefficient of a polynomial is the coefficient of the leading term.
And the highest and the greatest power of a variable in a polynomial equation is called degree of a polynomial.
Here, the leading term of the given polynomial is u^7. Therefore, the leading coefficient of a polynomial is 1.
And the degree of the polynomial is 7.
Hence, the leading coefficient and degree of the polynomial 18u - 8u^2 -9 + u^7 are 1 and 7 respectively.
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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
3,18/5, 108/25...
Find the 10th term
Answer:
15.479
Step-by-step explanation:
This is a geometric series with common ratio of 6/5
Any term is 6/5 times the previous term
The general formula for the nth term of a geometric series given the common ration r and the first term a₁ is
[tex]a_n = a_1\cdot r^{n-1}[/tex]
Here r = 6/5 and n = 10
So the 10th term is
[tex]a_{10} = 3\cdot(\dfrac{6}{5})^9[/tex]
= 3 x (6⁹/5⁹) = 3 x (10077696/1953125) = 30233088/1953125 = 15.479
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 1 more than 4 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 91 ?
Answer:
Mark has 18 and Don has 73
Step-by-step explanation:
Let M = Mark and let D = Don
D = 4M + 1
D + M = 91
Substitute and solve for M
4M +1 + M = 91
5M = 90
M = 18
Therefore D = 4(18) + 1 = 73
the tiles (right angled triangles) are arranged around a parallelogram-shaped tile. Calculate the area of the parallelogram. b= 36 h= 13.2
The area of the parallelogram is 475.2 square units.
A parallelogram is a polygon with four sides whose each pair of opposite sides are equal and parallel.
The properties of parallelogram are:
Both pairs of opposite side are equal and parallel .Both diagonals are equal.Each diagonal divides the parallelogram into 2 congruent triangles.Squares , rectangles and rhombus are parallelograms.The area of a parallelogram is given by the product of base and height of the parallelogram.Given base b of the parallelogram a 36 units and height h of the parallelogram as 13.2 units.
Therefore we know from the properties of the parallelogram that area is given by the product of base and height.
∴area = b × h
or, area = 36 × 13.2
or, area = 475.2 square units
Hence the area of the parallelogram is 475.2 square units .
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NO LINKS!! Please help me with these problems. Part 4a
Answer:
(a) --> f(x) = -(x - 4)²
(b) --> f(x) = x² + 3
(c) --> f(x) = (x - 2)²
(d) --> 6. f(x) = 3 - x²
Parent function of all the graphs is y = x²
(a)
The graph makes a sad face meaning the coefficient will be negative.
Comparing to the parent function y = x², the graph has been translated 4 units to the right.
Equation: f(x) = -(x - 4)²
(b)
The graph makes a happy face meaning the coefficient will be positive.
Comparing to the parent function y = x², the graph has been translated 3 units up.
Equation: f(x) = x² + 3
(c)
The graph makes a happy face with translation 2 units to the right.
Equation: f(x) = (x - 2)²
(d)
The graph makes a sad face with translation 3 units up across y axis.
Equation: f(x) = -x² + 3
Translation rules:f(x + a) : translation a units left in the x axis.
f(x - a) : translation a units right in the x axis.
f(x) + b : translation b units up in the y axis.
f(x) - b : translation b units down in the y axis.
Pe un stadion se găsește un grup de sportiv cuprins între 50 și 100 care se pot grupa în coloane de câte 12 18:24 tarif fiecare dată rămân șase sportiv care nu pot forma o coloană completă care este numărul minim de sportiv? Va rog sa ma ajutati repede!!!!
Find the difference. 5 1/9 - 3 4/9
A.
B.
C.
D.
Answer: 1 6/9, or 1 2/3
Step-by-step explanation:
Regroup the 5 and 1/9 to get 4 10/9. Subtract the 3 4/9 from the 4 10/9, getting 1 6/9. Simplified, this is 1 2/3. Hope this helps!
How do you solve this??
Answer: 0.100
Step-by-step explanation: In the table, it shows that the number of people who have a Bachelor's Degree AND are aged 50 or over is 1958. The total amount of residents in the town are 19623. 1958/19623 gives us the probability. In decimal, the answer is 0.09978086938, which rounds to 0.100
Zoey needs to order some new supplies for the restaurant where she works. The restaurant needs at least 711 glasses. There are currently 281 glasses. If each set on sale contains 10 glasses, use the drop-down menu below to write an inequality representing
s
s, the number of sets of glasses Zoey should buy
The inequality that represents the number of sets of glasses Zoey should buy is s ≥ 43
What is the inequality?The first step is to determine the number of glasses needed.
The number of glasses needed = 711 - 281 = 430
The second step is to determine the number of sets Zoey needs to buy.
Number of sets needed = 430 / 10 = 43 sets
The third step is to determine the appropriate inequality sign to use
Here are inequality signs and what they mean:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toThe ≥ (greater than or equal to ) would be used since the number of sets can either be equal to or greater.
s ≥ 43
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convert each of the following base-ten numberals in the indicated bases
456 in base 5
Answer:
3311
Step-by-step explanation:
The steps are as follows
1. Divide 456 by 5. This gives a quotient of 91 with a remainder of 1. This remainder becomes the least significant digit of the new base number. This would be the right most digit. So the number is _ _ _ 1
2. Take the quotient, 91, divide by 5 again. This gives a quotient of 18 with a remainder of 1. Put this remainder to the immediate left of the previous value. So we have the number as _ _ 1 1
3. Take the previous quotient, 18, divide by 5 again. 18/5 gives quotient of 3 with a remainder of 3. Put this to the immediate left of the previous number giving the number as _ 3 1 1
4. Repeat the division of the new quotient by 5. 3/5 gives a quotient of 0 with remainder of 3 so we stop
Number = 3 3 1 1
Best done by writing a program or using a calculator
Maths help 10 points awarded and brainiest for correct answer
The range of the data is 5.
Ensure that the score column entries are listed in ascending numerical order. The entries in our example are listed in numerical order.
According to the definition, range is determined for continuous frequency distribution as the difference between the upper limit of the maximum interval and lower limit of the minimum interval of the grouped data.
1. Find the score column entry with the lowest value (with a Frequency greater than 0).
here we have 1 as the lowest entry. The lowest test score is 1.
2. Find the highest entry in the Score column (with a Frequency greater than 0).
here, we have 6 as the highest entry The highest test score is 6.
Subtract the lowest number (1) from the highest number (6).
6 - 1 = 5
The range of the test scores is 5.
Hence we get the range of the given data as 5.
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32 - (4 x s) = 12
What does the s stand for?
PLEASEEE HELPPPP
ASAP 20 POINTS!!!!!
Answer:
5.
Step-by-step explanation:
32-20-12.
A recipe calls for ½ cup of
flour. Kenneth has 3 and 1/4
cups of flour. How many
batches of the recipe can
he make?
Answer:
6
Step-by-step explanation:
In 3 cups you have 6 half cups with the remainder being 1/4 of a cup.
Answer:
If we're talking whole batches then I'm pretty sure you can make six batches
Jen Butler has been pricing Speed-Pass train fares for a group trip to New York.
Three adults and four children must pay $116
Two adults and three children must pay $82
Find the price of the adult's ticket and the price of a child's ticket.
The price of the adult's ticket is $20 and the price of a child's ticket is $14.
How to calculate the valuesLet adults = a
Let children = c
The appropriate equation will be:
3a + 4c = 116
2a + 3c = 82
Multiply equation I by 2
Multiply equation ii by 3
6a + 8c = 232
6a + 9c = 246
Subtract
c = 14
Price for children = 14
Since 2a + 3c = 82
2a + 3(14) = 82
2a + 42 = 82
2a = 82 - 42
2a = 40.
a = 40/2
a = 20
Therefore, the price of the adult's ticket is $20 and the price of a child's ticket is $14.
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below
(3 - i)(3 + 1) =
Answer:
12-4i
Step-by-step explanation:
i means √-1
(3 - i)(3 + 1) =
3*3=9
3*1=3
-i*3= -3i
-i*1 = -i
9+3-3i-i=
12-4i <--- answer
(3 - i)(3 + i) =
3*3=9
3*i=3i
-i*3= -3i
-i*i = -(√-1)*(√-1) = -(-1) = 1
9+3i-3i+1 =
10 <--- answer
Alesha went to the movies. A popcorn is $3 more than a soda. She purchased 1 popcorn and 2 sodas. She spent $21. How much is a popcorn?
Answer: a popcorn is $9
Step-by-step explanation:
soda is $6
The product of two consecutive even number is 12 more than the square of the smaller number. Find the smaller number
Answer:
Hello,
Step-by-step explanation:
Let's say 2x the smaller number,2x+2 the greater.
2x*(2x+2)=12+(2x)²
2x²+4x=12+4x²
4x=12
x=3
The smaller numbre is 2x=6 and the greater is 8
6*8=48 =12+6²
Which describes the collection of all points in the same plane that are 81/2 inches from point T
The figure will be a sphere with center T and radius 8 1/2 inches, that is, option D.
A circle is a closed curve constituting of the set of all points in a plane that are equidistant from a given point. This point is the center of the circle and the distance is the radius of the circle.
A circle is a 2-dimensional figure, and the two dimensional does not contain the set of all points in the 3-dimensional plane.
A sphere is a round geometrical object and is the set of all points that are equidistant from a given point, in the three-dimensional space.
Here, we are given that there is a point T and we need to describe the collection of all points in the same plane that are 8.5 inches from point T.
Going by the definitions given above, we can infer that it is a sphere with center T and radius 8.5 inches. If we take it to be a circle then it will not include the points in the 3D plane, hence, sphere.
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Your question was incomplete, check for the full content below-
Which describes the collection of all points in the same plane that are 8 1/2 inches from point T?
A.) Circle T with radius 8 1/2 inches
B.) circle T with diameter 8 1/2 inches
C.) circle T with radius 17 inches
D.) a sphere with center T and radius 8 1/2 inches
The width of a rectangle measures (5v - 2w) centimeters, and its length measures (6v+7w) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? (10w +22v) (-2+14w + 22v) (22v + 10 )( 11v +5 )
Help asaP!!!
Answer:
(22v and 10w)
Step-by-step explanation:
A rectangle is a 4 sided figure. Perimeter is the distance around the rectangle. The total distance would be
(5v -2w) + (5v - 2w) + (6v+7w) + (6v + 7w) Add all the like terms together
5v + 5v + 6v + 6v - 2w - 2w + 7w + 7w
The v's add up to 22 and the w's add up to 10
no the projvet iS 348
3=20
14. Model Real Life A self-balancing scooter travels 12 miles
per hour. An all-terrain vehicle can travel 6 times as
fast as the scooter. A go-kart can travel 67 miles
per hour. Which vehicle can travel the fastest?
An all-terrain vehicle can travel the fastest.
What is Speed ?Speed can be define as the time rate by which an object is moving or running along a path. A speed is the quantity which describes the moving rate of any object. We can define the speed with respect to distance and time . Or we can say speed is distance per unit of time . It is calculate in term of kilometers per hour.
Mathematically, we can write:
[tex]Speed = \frac{Distance}{Time}[/tex]
where, distance is measured in km
and Time is measured in hours
In the question, the distance for three different types of vehicles are given and we have to find fastest vehicle for which we need to find the speed.
For self-balancing scooter
Time = 1 hour
Distance = 12 miles
Therefore, Speed = 12 miles/h
For all-terrain vehicle
Time = 1 hour
Distance = 12 . 6 = 72 miles
Therefore, speed = 72 miles/h
For a go-kart
Time = 1 hour
Distance = 67 miles
Therefore, speed = 67 miles/h
Hence it is cleared that An all-terrain vehicle can travel the fastest.
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55 mph
BIKE
12 mph
How many more hours can the bus travel than the bike in a 3.5 hour period?
Step-by-step explanation:
3.5(12)=42
3.5(55)=192.5
192.5
-42
150.5 more miles
how many days will it take to finish a 20 pound bag of rice when you use 0.4 pounds each day
Answer:
50
Step-by-step explanation:
divide 20 by 0.4
= 20/0.4 = 20 * (1/0.4)
= 20*2.5
= 50
Consider a set of data in which the sample mean is 30.9 and the sample standard deviation is 7.7. Calculate the z-score given that x = 31.1. Round your answer to
two decimal places.
The value of the z-score is calculated as 0.259.
What is descried as normal distribution?The standard normal distribution is the variable of a normal distribution to mean 0 and variance 1. The normal distribution follows a bell curve. The z-table aids in determining the area beneath the curve.
The normal distribution is also known as the Gaussian distribution, after just a German mathematician.The t-distribution is another distribution that may be described as having a bell shape. It differs as from normal distribution in that the tails are thicker. It is commonly employed in the analysis of small sample size datasets.Now, as per the given question;
The formula for the z-score is;
z = (x - μ)/σ
x = sample size
σ = standard deviation
μ = mean of the sample
For the given values in the question;
x = 31.1
σ = 7.7
μ = 30.9
Substitute the given values in the formula to fine z-score;
z-score = (31.1 - 30.9)/7.7
z-score = 0.259
Therefore, the value of the z-score is computed as 0.259.
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A recipe calls for 4.5 teaspoons of Suger for 3 dozen cookies explain the process to find how much is needed for each dozen
Answer:
1.5 teaspoons for each dozen
Step-by-step explanation:
A recipe calls for 4.5 teaspoons of sugar for 3 dozen cookies explain the process to find how much is needed for each dozen?
Divide 4.5 teaspoons by 3:
4.5/3 = 1.5 teaspoons for each dozen
since 4.5 teaspoons of sugar will make 3 dozen, we divide 4.5 by 3 to find for each dozen.
Car A is rated at 36 mi/gal (miles per gallon) for city driving and 28mi/gal for highway driving. Car B is rated at 29 mi/gal city and 37 mi/gal highway. How many gallons of gas would each vehicle consume for the following amounts of driving?
(a) 300 mi of city driving plus 100 mi of highway driving
(b) 100 mi of city driving plus 300 mi of highway driving
Question content area bottom
Part 1
(a) Car A consumes
enter your response here gallons; Car B consumes
enter your response here gallons.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
(b) Car A consumes
enter your response here gallons; Car B consumes
enter your response here gallons.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
Car A consumes 11.9 gallons.
Car B consumes 13 gallons
Car A consumes 16.3 gallons
Car B consumes 11.6 gallons
How many gallons would be used?In order to determine the required values, the mathematical operation that would be used is division. Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.
Gallons that would be consumed when driving 300 mi of city driving plus 100 mi of highway driving:
For Car A = (300 / 36) + (100 / 28) = 11.9 gallons
For Car B: (300 / 29) + (100 / 37) = 13 gallons
Gallons that would be consumed when driving 100 mi of city driving plus 300 mi of highway driving:
For Car A = (100 / 36) + (300 / 28) = 16.3 gallons
For Car B: (100 / 29) + (300 / 37) = 11.6 gallons
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I need an answer please
Answer:
Angle B equals 139
Step-by-step explanation:
6x -6 = 90 is the simplified equation. Solving the equation would make x = 31. Then, plugging in x would make Angle A 41 and Angle B 139
Order the list of numbers written in Scientific Notation from small to large.
4.5 x 10^4
1.9 x 10^7
7.6 x 10^-9
9.3 x 10^-15
5.7 x 10^13