65 student tickets were sold
Solution:
Given that movie theater sells student tickets for $ 6 and adults for $ 8
Let "s" be the number of student tickets sold
Let "a" be the number of adult tickets sold
Cost of 1 student ticket = $ 6
Cost of 1 adult ticket = $ 8
Given that theater sold 140 tickets
Number of student tickets sold + number of adult tickets sold = 140
s + a = 140 ------ eqn 1
The theater generated $ 990
number of student tickets sold x Cost of 1 student ticket + number of adult tickets sold x Cost of 1 adult ticket = 990
[tex]s \times 6 + a \times 8 = 990[/tex]
6s + 8a = 990 ------ eqn 2
Let us solve eqn 1 and eqn 2 to find values of "s" and "a"
From eqn 1,
s = 140 - a ----- eqn 3
Substitute eqn 3 in eqn 2
6(140 - a) + 8a = 990
840 - 6a + 8a = 990
2a = 150
a = 75
Substitute a = 75 in eqn 3
s = 140 - 75
s = 65
Therefore 65 student tickets were sold
Jaquan bought 25 yards of cloth. He used 4.9 yards for a decoration and 10.6 yards to make costumes for the school play. Express the amount of cloth left over as a fraction in simplest form
Final answer:
To find the amount of cloth left over, subtract the amount used from the total amount. Jaquan had 9.5 yards of cloth left over, which can be expressed as the fraction 19/50.
Explanation:
To find the amount of cloth left over, we need to subtract the amount used from the total amount. Jaquan bought 25 yards of cloth, used 4.9 yards for a decoration, and used 10.6 yards to make costumes. To find the amount left over, we subtract the sum of 4.9 yards and 10.6 yards from 25 yards: 25 - 4.9 - 10.6 = 9.5 yards.
The amount of cloth left over can be expressed as a fraction by dividing the amount left over by the total amount. So, 9.5 yards can be written as the fraction 9.5/25, which can be simplified by dividing both the numerator and denominator by 0.5 to get 19/50. Therefore, the amount of cloth left over is 19/50.
10 POINTS!!! Brainliest.
4. Suppose the point B(2,8) is reflected across the x-axis and then translated according to the rule (x,y)→(y,x+4). What are the coordinates of B''? Show your work and explain.
Step-by-step explanation:
Point B(2, 8) reflect to x-axis
It means the x value won't change, the only thing that will change is the y value.
According to it, we can know that B' is (2, -8)
(2, -8) → (-8, 2+4) = (-8, 6) = B''
Final answer:
To obtain the coordinates of B'' after a reflection across the x-axis and a translation of (x,y)
ightarrow(y,x+4), point B(2,8) becomes B'(2,-8) after reflection and then B''(-8, 6) after translation.
Explanation:
The student is asking about the results of performing a geometric transformation on a point in the coordinate plane. Specifically, point B(2,8) is first reflected across the x-axis, and then is translated according to the rule (x,y)
ightarrow(y,x+4). To find the coordinates of B'', we follow these steps:
Reflect B across the x-axis: The x-coordinate remains the same, but the y-coordinate changes sign, resulting in B'(2,-8).
Apply the translation rule: We then take the coordinates of B' and apply the rule. The x-value of B' becomes the y-value of B'' and the y-value of B', decreased by 4, becomes the new x-value. Therefore, B'' = (-8, 2+4) = (-8, 6).
The final coordinates of B'' after the reflection and translation are (-8,6).
How much would $150 invested at 8% interest compounded continuously be
worth after 17 years? Round your answer to the nearest cent.
A(t) = Poet
Answer:
[tex]A=\$584.43[/tex]
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
[tex]A=P(e)^{rt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
[tex]t=17\ years\\ P=\$150\\ r=8\%=8/100=0.08[/tex]
substitute in the formula above
[tex]A=150(e)^{0.08*17}[/tex]
[tex]A=150(e)^{1.36}[/tex]
[tex]A=\$584.43[/tex]
Amber rides m miles in h hours according to the equation m=2h. Which of the following represents the unit rate for her miles per hour?
Answer:
The unit rate for her riding in miles per hour is given by 2 miles per hour.
Step-by-step explanation:
Amber rides m miles in h hours according to the equation m=2h .......... (1)
Putting h = 1 hour, we get m = 2 miles.
Therefore, Amber rides 2 miles height within a period of time 1 hour.
Therefore, the unit rate for her riding in miles per hour is given by 2 miles per hour. (Answer)
Again, differentiating equation (1) with respect to h we get,
[tex]\frac{dm}{dh} = 2[/tex] miles per hour.
So, here also we get the unit rate of her riding is 2 miles/hr.
a salesperson at a car dealership earns a monthly salary of $2400 and $250 for each vehicle sold. a. how many vehicles does the salesperson need to sell in a month to earn $4400?
Answer:
8 vehicle.
Step-by-step explanation:
Given: Monthly salary of salesperson is $2400
Incentive of salesperson is $250 per vehicle sold.
First, lets compute income to earned apart from salary.
∴ Deduct salary from the target amount
[tex]\$ 4400-\$ 2400= \$ 2000[/tex]
∴ $2000 need to be earned only through incentive, which is $250 per vehicle sold.
Now, solving to get number vehicles to be sold to earn $2000 as incentive.
Number of vehicle= [tex]\frac{2000}{250}= 8\ vehicles[/tex]
∴ 8 vehicles need to be sold by salesperson to get total earning as $4400.
The salesperson needs to sell 8 vehicles to earn a total of $4400 in a month.
To determine the number of vehicles a salesperson needs to sell to earn a total of $4400, we can set up an equation based on the information provided.
The salesperson earns a fixed monthly salary of $2400 and an additional $250 for each vehicle sold. Let's denote the number of vehicles sold as x
We want the total earnings E to be $4400, so we set up the equation:
4400 = 2400 + 250x
Now, we solve for x
250x = 4400 - 2400
x= 8
Therefore, the salesperson needs to sell 8 vehicles to earn a total of $4400 in a month.
17q-q-8q-4=20 solve for q
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Glad to see you on Brainly.
Look below and watch how we solve this problem.
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Simplify 17q−q−8q−4 to 8q-48q−4.
8q - 4 = 20
8q = 20 + 4
8q = 24
q = 24/8
q = 3
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15-d=6 solve for d help me please
Answer:
[tex] \: \: \: \: \: \: 15 - d = 6 \\ = > - d = 6 - 15 \\ = > - d = - 9 \\ = > d = 9[/tex]
Verification :
[tex] \: \: \: \: \: \: 15 - d = 6 \\ = > 15 - 9 = 6 \\ = > 6 = 6[/tex]
Jerome's average speed for walking is 13 minutes and 40 seconds per mile. He will be walking for a fundraiser a total of 12 miles. Based on his average speed, how long should it take him to finish?
Answer:
164 minutes
Step-by-step explanation:
Assuming that Jerome's seed is maintained, we say that for every 1 mile, he takes 13 minutes and 40 seconds which is equivalent to[tex]13\frac {2}{3}[/tex] since 1 minute has 60 seconds hence [tex]\frac {40}{60}[/tex]=[tex]\frac {2}{3}[/tex]
Now if
1 mile = [tex]13\frac {2}{3}[/tex]
12 miles=??
We cross multiply hence 12\times[tex]13\frac {2}{3}=164[/tex]
Therefore, Jerome needs 164 minutes, equivalent to 2 hours 44 minutes
Which fraction is equivalent to -3/7
3/-7
-3/-7
-7/3
7/3
Answer:
3/-7
Step-by-step explanation:
They’re correct!
Si n es un número impar, ¿cuál de las siguientes opciones representa un número par? a) 2n +1 b) n (n + 2) c) n + (n-1) e) 2 (n + 1)
Answer:
Option E) is correct
If n is an odd number then 2(n+1) represents an even number.
Step-by-step explanation:
Let X=set of all odd numbers
that is [tex]X={\{1,3,5,7...}\}[/tex]
Let Y=set of all even numbers
that is [tex]Y={\{2,4,6,8...}\}[/tex]
Verify that 2(n+1) represents an even number where n is an odd number:
Put n=1 in 2(n+1) we get
2(1+1)=2(2)=4
Put n=3 in 2(n+1) we get
2(3+1)=2(4)=8
Put n=5 in 2(n+1) we get
2(5+1)=2(6)=12
and so on.
From above results we get 2(n+1) represents an even number and is belongs to the set Y when n is an odd number.
Therefore Option E) is correct
If n is an odd number then 2(n+1) represents an even number.
HELP ME URGENT!!!!! 12 POINTS
Complete the point-slope equation of the line through (-2,6) and (1,1)
y-6____
Answer:
Step-by-step explanation:
(-2,6),(1,1)
slope = (1 - 6) / (1 - (-2) = -5/3
y - y1 = m(x - x1)
slope(m) = -5/3
(-2,6)....x1 = -2 and y1 = 6
and we get :
y - 6 = -5/3(x - (-2)...which can further be simplified to :
y - 6 = -5/3(x + 2) <=== ur answer
Define a translation and explain why it is a congruent figure
Write a related subtraction fact for 5+7=12
Answer:
A related subtraction fact would be either
12-5=7 or
12-7=5
Step-by-step explanation:
Answer:
a related subtraction fact for 5+7=12 would be 12-7=5
Can someone help me please
Answer:
both are answered below
Step-by-step explanation:
let us assume that , he buys y number of roses and x carnations.the total cost cant be more than $30.the cost of each rose : $3the cost of each carnation : $2so, the cost of all roses that he buys : 3xthe cost of all carnations that he buys : 2ythe required inequality will be : 3x+2y[tex]\leq[/tex]30the graph is in the attachment.by seeing graph, possible x,y values: (2,12) , (6,6) , (8,3)[where x represents no. of carnations that he buys , y represents no. of roses that he buys ]
O
These are the means and standard deviations for samples of heights from
two kinds of trees.
Tree A
Mean: 25 ft
Standard deviation: 5 ft
Tree B
Mean: 60 ft
Standard deviation: 12 ft
rol
O
.
Select the two true statements.
Oh
CTS
(
DC)
I
A. Tree A's heights are less spread out than tree B's heights.
O
B. Tree A has a lower average height than tree B.
O
C. Tree A's heights are more spread out than tree B's heights.
D Tree A has a greater average height than tree B
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The true statements are:
A. Tree A's heights are less spread out than tree B's heights and
B. Tree A has lower average height than tree B
Explanation:
Standard deviation in this case represents the spreading out of heights of the trees, Since tree A has lesser standard deviation given equal to 5 , it is less spread out than B given equal to 12, hence option A. is true.
The average of a quantity is given by mean so, the average height can be compared by the given mean values of the trees. Since, A has lesser mean value (= 25) than B(=60), tree A is said to have lower average height than tree B hence option B. is true.
Answer:
A and B
ITS RIGHT FOR ME!!!!!!!At a restaurant jars of tomato are stored in boxes in the pantry. each box contains 8 jars of tomato sauce. A cook uses 2 jars from 1 of the boxes.
Answer:
[tex]y=8x-2[/tex]
Step-by-step explanation:
Here is the complete question: At a restaurant jars of tomato are stored in boxes in the pantry. each box contains 8 jars of tomato sauce. A cook uses 2 jars from 1 of the boxes. Which function shows the relationship between y, the total number of jars of tomato sauce remaining in the pantry, and x, the number of boxes in the pantry?
Given: Each boxes contain 8 jars of tomato sauce.
Cook uses 2 jars from 1 of the boxes.
As we know total number of boxes is "x".
Number of jars in the pantry is [tex]8\ jars \times x\ boxes= 8x \ jars[/tex]
∵ cook uses 2 jars from one box.
∴ [tex]y=8x-2[/tex] ( y is used to show relationship)
The relationship between y, the total number of jars of tomato sauce remaining in the pantry, and x, the number of boxes in the pantry is [tex]y=8x-2[/tex].
Select the sentence that explains the error in the given statement.
A line is contained in exactly one plane
A. A line must be coplanar to be contained in exactly one plane.
B. A line cannot be contained in a plane.
C. A line is contained in exactly one point.
D. A line can be contained in more than one plane.
Answer:
D. A line can be contained in more than one plane .
Step-by-step explanation:
A. is wrong because a line can't be said as coplanar . We can draw infinite number of planes through a line .
B. is wrong because a line can be contained in infinite number of planes.
C. is wrong because a line can't be contained in a point as a line is a collection of points.
D. is the right answer as every line passes through infinite number of planes.
What is 1,364 divided by 62
Sonoma bikes 5 miles to Paige's house. On a map, they measure that distance as 5/6cm. The same map shows that the mall is 3 1/2cm from Paige's house. What is the actual distance between Paige's house and the mall?
Answer:
21 miles
Step-by-step explanation:
Hence, the actual distance between Paige's house and the mall is [tex]21[/tex] miles.
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
Sonoma bikes [tex]5[/tex] miles to Paige's house. On a map, they measure that distance as [tex]\frac{5}{6}[/tex]cm. The same map shows that the mall is [tex]3\frac{1}{2}[/tex]cm from Paige's house.
Let the actual distance between Paige's house and the mall is [tex]x[/tex]
So,
[tex]\frac{5}{\frac{5}{6}}=\frac{x}{\frac{7}{2}}\\\\\\5(\frac{6}{5})=x(\frac{2}{7})\\\\\\6=\frac{2x}{7}\\\\\\x=6(\frac{7}{2})\\\\\\x=\frac{42}{2}\\\\\\x=21[/tex]
Hence, the actual distance between Paige's house and the mall is [tex]21[/tex] miles.
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HELPPP PLEASEEEEE THANKKKKKSSS
The segment to draw is segment UT
Step-by-step explanation:
A line segment is a part of a line that is bounded by two two distinct end points. In this case, segment UT is bounded by endpoints U and T. In the diagram, point R is not a segment but a point of intersection of segments BT and EU.
Learn More
Construction of a line segment: https://brainly.com/question/9716065
Keywords : proof, statement, reason, segments, reflexive property
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The pyramid shown has a square base that is 24
24
centimeters on each side. The slant height is 16
16
centimeters. What is the lateral surface area?
Answer:
[tex]768\ cm^{2}[/tex]
Step-by-step explanation:
Here is the correct question: The pyramid shown has a square base that is 24 centimeters on each side. The slant height is 16 centimeters. What is the lateral surface area?
Given: Side of sqaure base = 24 cm
Slant height= 16 cm
Now, we have to compute to know lateral surface area of Pyramid with square base.
Formula, lateral surface area of pyramid= [tex]4(\frac{1}{2} \times b\times h)[/tex]
we know, side of sqaure base (b) is 24 cm and slant height (h) is 16 cm.
lateral surface area of pyramid= [tex]4\times (\frac{1}{2} \times 24\times 16)[/tex]
⇒lateral surface area of pyramid= [tex]4\times (192)[/tex]
Opening parenthesis.
∴lateral surface area of pyramid= [tex]768\ cm^{2}[/tex]
What is the right-hand limit of this function at x = 2?
g(x) =x^2-3/x-3
Answer:
-1
Step-by-step explanation:
A function assigns the values. The right-hand limit of this function at x=2 is -1.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The right-hand limit of the function when the value of x=2, can be found by substituting the value of x as 2 in the given function, therefore, the right-hand limit of this function at x=2 is,
g(x) = (x²-3)/(x-3)
g(2) = (4-3)/(2-3)
g(2) = -1
Hence, the right-hand limit of this function at x=2 is -1.
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write as a fraction and simplify 4^-4
Answer:
1/256
Step-by-step explanation:
1/256
4^-4 as a fraction is 1/256. It cannot be further simplified because 1 and 256 have no common factors other than 1, making it the simplest form.
To express 4^-4 as a fraction and simplify it, we can apply the rule that states any non-zero number raised to a negative exponent is equivalent to 1 divided by that number raised to the positive exponent.
So, for 4^-4, we can write it as:
4^-4 = 1 / 4^4
Now, let's calculate 4^4:
4^4 = 4 * 4 * 4 * 4 = 256
So, we have:
4^-4 = 1 / 256
This is the fraction representation of 4^-4. To determine if it can be further simplified, we can check if the numerator and denominator have any common factors other than 1. In this case, 1 and 256 have no common factors other than 1.
Therefore, 1/256 is already in its simplest form. It represents the fraction equivalent of 4^-4, which is a small value. It means that 4 raised to the power of -4 is a very small positive number, specifically 1/256, indicating that the original number 4^-4 is less than 1 and quite close to zero in value.
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Fiona has a play yard for her dog. She mows the yard in 8 equal rows. Each row has 41.75 square feet.
Play Yard
41.75 f2
Which is the best method to find how many square feet are in the play yard?
O multiply 8 times 41.75
o divide 41.75 by 8
o divide 92 by 41.75
O multiply by I think that says 8 squared times 41.75
Answer: the answer that actually makes since is multiply 8 times 41.75 that also equals out to 334 which would be accurate
Step-by-step explanation:
Answer:
multiply 8 times 41.75
Step-by-step explanation:
i got it right on my test
Express sin6θ + sin4θ as a product.
Answer: [tex]2 sin(5 \theta) cos \theta[/tex]
Step-by-step explanation:
According to the trigonometric identities we have the following formula:
[tex]sin (x) + sin (y)=2 sin(\frac{x+y}{2}) cos(\frac{x-y}{2})[/tex]
Now, we have the following:
[tex]sin (6\theta)+ sin (4\theta)[/tex]
Where [tex]x=6\theta[/tex] and [tex]y=4\theta[/tex]
Hence:
[tex]sin (6\theta)+ sin (4\theta)=2 sin(\frac{6\theta+4\theta}{2}) cos(\frac{6\theta-4\theta}{2})[/tex]
[tex]sin (6\theta)+ sin (4\theta)=2 sin(\frac{10\theta}{2}) cos(\frac{2\theta}{2})[/tex]
Finally:
[tex]sin (6\theta)+ sin (4\theta)=2 sin(5\theta) cos(\theta)[/tex]
please solve with work much appreciated
Answer:
[tex]293,148\ mm^2[/tex]
Step-by-step explanation:
The cup has cylivdrical shape. Find the volume of the cylinder using formula
[tex]V=\pi r^2h,[/tex]
where
r = base radius
h = height
In your case,
r = 36 mm
h = 72 mm
then
[tex]V=\pi \cdot 36^2\cdot 72=93,312\pi \ mm^2\approx 293,148\ mm^2[/tex]
Solve 2 cos ø + 2=3 in the interval from 0 to 2 π.Round to the nearest hundredth.
Answer:
The value of ∅ for the given trigonometrical equation is 60° .
Step-by-step explanation:
Given as :
The Trigonometrical equation
2 cos∅ + 2 = 3
Now, Solving this equation to get the value of ∅
∴ The equation can be written as
2 cos∅ = 3 - 2
or , 2 cos∅ = 1
or , cos∅ = [tex]\dfrac{1}{2}[/tex]
∴ ∅ = [tex]cos^{-1}(\frac{1}{2})[/tex]
I.e ∅ = 60°
So,The value of ∅ for the given trigonometrical equation = ∅ = 60°
Hence, The value of ∅ for the given trigonometrical equation is 60° . Answer
I costs $36 for 4 movie tickets, What is
Ovie tickets, What is the unit price of each ticket
I
Answer: $9 per ticket
Step-by-step explanation: Unit price means the cost per unit. In this case, the cost per ticket.
Since we know that it costs $36 for 4 movie tickets, to find the cost for 1 movie ticket, we need to divide 4 into $36 or 4 into 36.
4 divides into 36 9 times. 9 x 4 is 36 and 36 - 36 is 0. So 4 divides into 36 9 times which means that each movie ticket costs $9.
So the unit price is $9 per ticket.
5.) Juan answered 24/25 correctly on his quiz.
What percent of the questions did he get correct?
Answer:
96%
Step-by-step explanation:
Answer:
Step-by-step explanation:
Percentage = (24/25) * 100 = 24* 4 = 96%
A circle has a radius with endpoints at(2,5) and (-1,-4).Find the circumference and area of the circle.
Answer:
circumference is 59.6075
area is 282.743
Step-by-step explanation:
To find the circumference and area of the circle, we need to first find the radius. This can be achieved using the distance formula.
The distance formula goes as follows: for any two points on an coordinate plane, the distance can be calculated using a certain method. This method is the derived from the Pythagorean Theorem. Basically, you find the distance from right to left and square it, and then find the distance from up to down and square it. You add these two values together and then square root the whole thing. I know, its complicated.
To apply this to your problem, we do 2-(-1) to find the distance from right to left (x-distance) and then we do 5-(-4) to find the distance from up to down (y-distance). 2-(-1)=3 and squaring that we get 9. 5-(-4)=9 and squaring that we get 81. Adding these two values together, we get 90 and square rooting it we get [tex]\sqrt{90}[/tex].
The formula for circumference of a circle is 2Pi * radius and plugging in our values we get 2Pi * [tex]\sqrt{90}[/tex] which gives us approximately 59.6075.
The formula for area of a circle is Pi * radius^2 and plugging in our values we get Pi * [tex]\sqrt{90}[/tex] ^2 which gives us approximately 282.743.