Total cost of tickets for one movie showing is calculated by multiplying the total number of seats (n rows times m seats per row) by the cost per ticket, which is $5.60.
Explanation:To calculate the total cost of all tickets for one movie showing in a theater with n rows and m seats per row, you'll need to use multiplication to find the total number of seats and then multiply it by the cost per ticket. Here is a step-by-step guide:
Multiply the number of rows (n) by the number of seats per row (m) to find the total number of seats. This is n × m.Multiply the total number of seats by the cost per ticket, which is $5.60, to find the total cost for all tickets. This is (n × m) × $5.60.The final calculation will give you the total cost of tickets for one movie showing.For example, if a theater has 10 rows with 20 seats in each row, the total number of seats is 10 × 20 = 200. The total cost for all tickets would then be 200 × $5.60 = $1120.
Solve
394.029 + 5.38
Answer:
399.409
Step-by-step explanation:
Add both numbers to get your answer.
Answer:
The answer is
399. 409
Factor the polynomial x^4-16. How many real zeros does the function g(x)=x^4-16 have?
Answer:
(x-2)(x+2)(x^2 + 4)
Step-by-step explanation:
This can be done by difference of squares:
(x^2 - 4) (x^2 + 4)
And now (x^2 - 4) can be further factored:
(x-2)(x+2)(x^2 + 4) is your answer
Clearly, There are only 2 zeroes that we can get from this, 2 and -2
Hope this helps!
If you think I helped please mark brainliest! Would really appreciate!
Answer:
[tex]\large\boxed{x^4-16=(x^2+4)(x+2)(x-2)}[/tex]
[tex]\large\boxed{g(x)=x^4-16\ \text{has two real zeros}\ x=-2\ \text{and}\ x=2}[/tex]
Step-by-step explanation:
[tex]x^4-16=x^4-2^4=x^{(2)(2)}-2^{(2)(2)}\\\\\text{use}\ (a^n)^m=a^{(n)(m)}\\\\=(x^2)^2-(2^2)^2\\\\\text{use}\ a^2-b^2=(a+b)(a-b)\\\\=(x^2+2^2)(x^2-2^2)=(x^2+4)(x+2)(x-2)[/tex]
The zeros of g(x):
[tex]g(x)=x^2-16=(x^2+4)(x+2)(x-2)\\\\g(x)=0\iff(x^2+4)(x+2)(x-2)=0\iff x^2+4=0\ \vee\ x+2=0\ \vee\ x-2=0\\\\x^2+4=0\qquad\text{subtract 4 from both sides}\\x^2=-4\qquad\bold{FALSE}\\\\x+2=0\qquad\text{subtract 2 from both sides}\\\boxed{x=-2}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}[/tex]
The graph shows how many apples Erin can pick if she maintains a constant rate. What is the linear equation for this relationship? How many apples can she pick per hour?
An equation that represents the relationship between the x and y-values is y = 75x.
Erin can pick 75 apples per hour.
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y represents the y-variable.x represents the x-variable.k is the constant of proportionality.Next, we would determine the constant of proportionality (k) by using various data points as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 75/1 = 150/2
Constant of proportionality, k = 75.
Therefore, the required linear equation that models the graph can be written as follows;
y = kx
y = 75x
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The product of 8 and 12
[tex]\text{Hey there!}[/tex]
[tex]\text{The \bf{product}}\text{ of 8 and 12 is [blank]}[/tex]
[tex]\text{Whenever you see the word \bf{product}}\text{ in mathematics, it usually means}\\\text{multiply}[/tex]
[tex]\text{\bf{The PRODUCT of 8 and 12 is 96 because 8 times 12 equal 96}}[/tex]
[tex]\boxed{\boxed{\huge{\text{\bf{Answer: 96}}}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Step-by-step explanation:
Hello!
Product means to multiply.
Which means it’s x added by itself y times.
For this problem it means 8 added by itself 12 times.
You can do:
8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8, which equals 96.
Or, 8 x 12.
Which is 96.
It still represents 8 + 8, etc.
But your doing it faster.
Therefore, your Product is 96.
Can anyone Help me please
Option A: 21 pairs is the right answer
Step-by-step explanation:
Given
total strength of cycling team = 7
Captains to be selected = 2
As the order of selection doesn't matter, the combinations will be used to get the number of ways the pair can be chosen
Combination is solved as:
[tex]C(n,r) = \frac{n!}{r!(n-r)!}[/tex]
Here
n=7
r = 2
[tex]C(7,2) = \frac{7!}{2!(7-2)!}\\C(7,2) = \frac{7!}{2!*5!}\\=21\ pairs[/tex]
Hence,
Option A: 21 pairs is the right answer
Keywords: Combination
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Does anyone mind helping me with this? It seems simple enough.
The question is: Radical x-3 = radical x + 3 (the +3 is outside of the radical). We are solving for X in this question.
Answer:
x = 4
Step-by-step explanation:
It is given that [tex]\sqrt{(x - 3)} = \sqrt{x} + 3[/tex], and we have to solve the given equation for x.
Now, we have [tex]\sqrt{(x - 3)} = \sqrt{x} + 3[/tex]
Squaring both sides we get
[tex][\sqrt{(x - 3)}] ^{2} = [\sqrt{x} + 3]^{2}[/tex]
⇒ x - 3 = x + 6√x + 9 {Since we know the formula of (a + b)² = a² + 2ab + b²}
⇒ 6√x = - 12
⇒ √x = -2
Again squaring both sides we get
⇒x = 4 (Answer)
24 x + 6 Y is greater than or equal to 200
Answer:
I'm pretty sure this is undefined. It's either it does or does not equal to 200..
Step-by-step explanation:
n/a
Jeffrey is a kickboxing instructor who will be teaching classes at a local gym. To get certified
as an instructor, he spent a total of $200. Jeffrey will be earning a base salary of $50 per
month from the gym, plus an additional $3 for every class he teaches. If Jeffrey teaches a
certain number of classes during his first month as an instructor, he will earn back the
amount he spent on certification. How many classes will that take?
If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.
Step-by-step explanation:
Amount spent on certification = $200
Base salary = $50
Payment per class = $3
Let, x be the number of classes.
J(x) = 50+3x
He needs to earn $200 dollars in first month, therefore,
50+3x=200
[tex]3x=200-50\\3x=150[/tex]
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{150}{3}\\x=50[/tex]
If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.
Keywords: function, linear equation
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Give your answer in its simplest form.
Use [tex]\frac{a^n}{a^m}=a^{n-m}[/tex].
[tex]
\dfrac{2m^2t^6}{m^4t^2}=2m^{2-4}t^{6-2}=\boxed{2m^{-2}t^4}
[/tex]
Hope this helps.
Answer:
2m⁻²t⁴
Step-by-step explanation:
Rule:
If aᵇ / aˣ, then aᵇ ⁻ ˣ
[tex]\frac{2m^2t^6}{m^4t^2} = 2 m^{2-4} t^{6-2} = 2m^{-2} t^{4}[/tex]
Greenfield village is spread across 240 acres of land. Only 37% of the land is used for the exhibits, while the rest of the land consists of forest, rivers and pastures. How many acres are used for exhibits?
Answer:
The land which are used for exhibits are 89 acres (approximately).
Step-by-step explanation:
Given:
Village is spread across 240 acres of land. 37% of land is used for the exhibits.
Now, we have to find acres of land which are used for exhibits.
So, here it is given that land used for exhibits is 37%, and we have to calculate the quantity from the percentage given:
According to question:
37% of 240 acres of land.
[tex]\frac{37}{100}\times 240[/tex]
[tex]0.37\times 240[/tex]
[tex]88.80[/tex]
So, the land used for exhibits are 88.80 acres.
Therefore, the land which are used for exhibits are 89 acres (approximately).
how do i find the slope
Answer:
slope = - 7
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 4 = - 7(x - 6) ← is in point- slope form
with slope m = - 7
Choosing a number from 1 to 10 what is the probability of choosing a number less than 3?
About 2% chance.
There are ten numbers and you want to choose a number less than three. There are only two numbers less than three; 1 & 2. Because there are only 2 numbers less than three and 10 to choose from, it becomes a 2% chance.
Answer: 20%
Step-by-step explanation:
The following graph is of an exponential function of the form y=a*bx.
What values of a and b would make this equation work?
a=
b=
Answer:
a= 15
b=1/3
Step-by-step explanation:
key rule: see the graph carefully to get the following identified points.from the given graph, it can be seen that, the curve passes through (0,15)by substituting this point in y=a*(b)^x,15=a*(b)^0
15=a
it can also be seen that the curve passes through (1,5)by substituting this point in y=a*(b)^x,5=a*b
5=15*b ( since, we have found that a=15 from the before steps)
dividing both the sides by 15,5/15=b=1/3
hence,a= 15
b=1/3.
Solve the system of linear equations by elimination.
3x - 2y = 4
6x- 2y = -2
Answer:
the value of x is (-2) and y is (-5)
ASAP! A biologist is to set up an aquarium in his laboratory. He intends to buy 11 piranhas and 5 sharks. He has a budget of £200. If p represents one piranhas and s one shark, write down an equation for the price of one piranhas in terms of the price of sharks.
Answer:
p = (200 -5s)/11
Step-by-step explanation:
I think you meant p is the price of piranhas, and a is the price of one shark.
You have:
11p + 5s = 200
11p = 200 - 5s
p = (200-5s)/11
Does that help? ;)
Mohit pays rupees 9000 as an amount on the sum of rupees 7000 that he had borrowed for 2 years.
Find the rate of interest.
pls answer fast
I will mark u as the brainliest
Answer:
The required rate of interest = 14.285%
Step-by-step explanation:
Here, The principal amount = 7,000
The final paid amount = 9,000
Time = 2 years
Let us assume the rate of interest = R
Now, Simple Interest = Amount - Principal
= 9,000 - 7,000 = 2,000
So, the SI on the given principal for 2 years = 2,000
[tex]\textrm{SIMPLE INTEREST } = \frac{P \times R \times T}{100}\\\implies 2000 = \frac{7,000 \times R \times 2}{100}\\\implies R = \frac{2,000 \times 100}{7,000 \times 2} = 14.285[/tex]
or, R = 14.285%
Hence, the required rate of interest = 14.285%
find the HCF of following !! a) 15,63,99 B) 66,33,78
Answer:
(a) 3, (b) 3
Step-by-step explanation:
HCF is highest common factor. Each number is split into multiples while the common factors are then multiplied together.
(a) HCF of 15, 63, 99
15 = 3 X 5 ----------------------------- (i)
63 = 3 X 3 X 7 ---------------------------(ii)
99 = 3 X 3 X 11 ---------------------------(iii)
From the three equations, 3 is the only common factor; 3 appears in equations (i), (ii) and (iii)
hence the HCF of 15, 63 and 99 is 3
(b) HCF of 66, 33, 78
66 = 2 X 3 X 11 ----------------------------- (iv)
33 = 3 X 11 ---------------------------(v)
78 = 2 X 3 X 13 ---------------------------(vi)
From the three equations, 3 is still the only common factor; 3 appears in equations (iv), (v) and (vi)
hence the HCF of 166, 33, 78 is 3
Part I: Describe the center and radius of the circle.
The center is at ___.
The radius is __ units.
Part II: Use the equation below to identify the value of each variable for the circle.
Standard Form Equation of a Circle(x - h)2 + (y - v)2 = r2
(h, v) = center
r = radius length
h =__ v =__r =__
Part III: Use Parts I and II to write the standard form equation of the circle.
Answer:
Center (2,4) , radius=3, h=2 v=4 & r=3
Step-by-step explanation:
Ok so in order to find the center of the circle, use the graph (like you can see that the x is 2,if you count down from 5 to the left. the y is 4,because it's below 5 in the y pole).So the center is (2,4)
Now, in order to find the length of the radius, you need to do the following:
Take the center point (2,4) and the point where the circle ends (2,1) . Because radius is a straight, you can substract the y values of the two points : 4-1=3
As you can see in the equation, the h symbolizes the x of the center point and the v symbolizes the y.The r is the radius that we already found(3)
So it's shouldn't be a problem now to find the equation of the circle,simply replace the values with their numbers:
(x-2)^2 + (y-4)^2 = 9
The center is at (2, 4). The radius is 3 units. The value of h, v, and r are 2, 4, and 3 respectively. The standard equation of the circle is (x - 2)² + (y - 4)² = 9.
How do find the required values?The required value can be found by counting the coordinates from the given graph.
The value of the center and the radius of the circle can be found below:A diagram is provided. We should observe the diagram, we can see that the center of the circle is at (2,4) on the graph.
We can also find that the radius of the circle is 3 units by counting the lines.
The center of the circle is denoted by (h, v) = (2, 4). The radius r is 3 units.
We have found the center and the radius. We can use this to make the standard equation of the circle.
The standard equation of a circle is given by:
(x - h)2 + (y - v)2 = r2
Now substitute the values h, v and, r:
(x - 2)² + (y - 4)² = 9
Therefore, we have found that the center is at (2, 4)and the radius is 3 units. The value of h, v, and r are 2, 4, and 3 respectively. The standard equation of the circle is (x - 2)² + (y - 4)² = 9.
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Which of the following fractions give a decimal answer whose non-zero digits repeat infinitely many times? Select all that apply.
A) 6/4
B) 4/11
C) 9/8
D) 5/7
E) 8/9
F) 7/8
Answer:
B and E repeat infinitely.
Step-by-step explanation:
A) 6/4 = 1.5 (ends)
B) 4/11 ≈ 0.36363636... (repeats 36 forever)
C) 9/8 = 1.125 (ends)
D) 5/7 ≈ 0.7143 (does not repeat)
E) 8/9 ≈ 0.88888888... (repeats 8 forever)
F) 7/8 = 0.875 (ends)
There are 24% of boys in a school. If the number of girls are 456, find the total number of students in the school.
Answer:
600 students
Step-by-step explanation:
100% - 24% = 76%
76% = 456
100%= x
76x = 456x100
x = 45600÷76
x= 600 students (total)
Answer: 600
Step-by-step explanation:
Since there are 24% of boys in a school , this means that the number of girls will be :
100% - 24 %
= 76%
That means there are 76% of girls in the school.
Let the total number of students in the school be x, this means that
24% of x = number of boys
76% of x = number of girls
Since the total number of girls is given to be 456 , then
76% of x = 456
0.76x = 456
x = 456/0.76
x = 600
That means there are 600 students all together in the school
Which graph represents the solution set for the inequality 8z≤ 16?
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]8z\leq 16[/tex]
Solve for z
Divide by 8 both sides
[tex]z\leq 16/8[/tex]
[tex]z\leq 2[/tex]
The solution for z is the interval ----> (-∞,2]
All real numbers less than or equal to 2
In a number line the solution is the shaded area at left of z=2 (closed circle)
using a graphing tool
see the attached figure
my teacher keeps explaining what a "vertical line test" is and how it helps solve a linear equation plz explain and dumb it down for me hahahaha thx.(Im new here btw)
The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.
what is the square root of 10
Answer:
3.1622776 OR √ 10
Step-by-step explanation:
The result can be shown in multiple forms.
Exact Form:
√ 10
Decimal Form:
3.16227766
3.1622776
Step-by-step explanation:
[tex]\sqrt{10}-\text{it's an irrational number}\\\\\text{You can only have an approximation}\ \sqrt{10}\approx3.1623[/tex]
How many total blocks will she travel if she goes to Amanda‘s house and then to Karen’s and finally back home
Answer:
19 blocks
Step-by-step explanation:
To amanda's house, it is 5 blocks (we count 1 to 6 = 5 units)
From amanda's to Karen's, is 6 units (we count from -1 to 5 = 6 units)
Now, to find Karen to own place, we have to use the Pythaogrean Theorem. It is applicable for right triangle (which is shown, Amanda's place is the right angle).
The two distance we found are the two legs of the triangle and the other side (what we need to find) is the hypotenuse (which is the side opposite of right angle). The theorem says:
Leg^2 + Another Leg^2 = Hypotenuse^2
We know the 2 legs' length, so we can solve for hypotenuse (Karen to Own place Distance). Shown below:
[tex]5^2 + 6 ^ 2 \\=25+36\\=61[/tex]
So, we have:
Hypotenuse^2 = 61
Hypotenuse = Sqrt(61) = 7.81
Rounded to nearest block, that is 8 blocks
So, total distance traveled is:
5 + 6 + 8 = 19 blocks
Which of the following is the saluting to the inequality 9+2x>5x? A. 2 B.3 c.4 d.8
Answer:
x < 3
Step-by-step explanation:
We are given an equation of inequality of single variable x.
So, we have to solve the inequality and get the solution in terms of another inequality.
The given equation is 9 + 2x > 5x
⇒ 9 > 5x - 2x
⇒ 9 > 3x
⇒ 3x < 9 {Since if a > b then we can write b < a as they means the same.}
⇒ x < 3 (Answer)
{Dividing both sides of an inequality with a positive number need no change in inequality sign}
Evaluate x + y when x = -94 and y = 24
A: -118
B: -70
C: 70
D: 118
The simplification of the equation when x = -94 and y = 24 will be B: -70
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression. Simplification usually involves making the expression simple and easy to use later.
We have been given an equation as x + y
We have to find the solution when x = -94 and y = 24
Therefore, substitute the values;
x + y = (-94 +24)
Now Evaluate;
(-94 +24) = -70
Hence, the correct answer is B.
Therefore, The simplification of the equation when x = -94 and y = 24 will be B: -70
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Sheila has $47 to buy graphing pads for her math class. Each pad costs $8,
How many pads can she buy? Do not include units in your answer.
Answer:
5 tablets can be bought
Step-by-step explanation:
47/8= 5
Triangle ABC is rotated to create the image A'B'C'.
On a coordinate plane, 2 triangles are shown. The first triangle has points A (negative 1, negative 1), B (1, negative 1), and C (0, negative 4). The second triangle has points A prime (1, 1), B prime (negative 1, 1), and C prime (0, 4).
Which rule describes the transformation?
(x, y) → (x, –y)
(x, y) → (y, x)
(x, y) → (–x, –y)
(x, y) → (–y, –x)
Answer:
The transformation used here is,
(x, y) → (-x , -y)
Step-by-step explanation:
Triangle ABC is rotated to create the image of triangle A'B'C'
Co-ordinates of A, B, C are,
A = (-1 , -1) ; B = (1 , -1) ; C = (0, -4)
Co-ordinates of A' ,B' , C' are,
A'= (1 , 1) ; B' = (-1 , 1) ; C' = (0, 4)
Hence, the transformation used here is,
(x, y) → (-x , -y)
Answer:
(x, y) → (–x, –y)
Step-by-step explanation:
Coordinates of triangle ABC:
A (-1, -1)
B (1, -1)
C (0, -4)
If we apply the transformation (x, y) → (–x, –y) we will get:
A (-1, -1) → (1, 1) which correspond to point A'
B (1, -1) → (-1, 1) which correspond to point B'
C (0, -4) → (0, 4) which correspond to point C'
Table The table shows the number of carnival tickets purchased and the corresponding number of entries in the raffle drawing. If x is the number of tickets purchased and y is the number of entries in the raffle drawing, then the equation represents the table. How many entries would be in the raffle drawing if 20 tickets were purchased?
Answer:
Step-by-step explanation:
Following are the response to the given table:
Consider the linear function is [tex]\bold{y= 12x+b}[/tex], where by x is the number of purchased tickets and y is the amount of raffle participation.[tex]\begin{cases}R+b=3 & R=1 \\ 2R+b=4 &b=2 \end{cases}[/tex]Therefore, whenever [tex]\bold{x=20}[/tex], the equation [tex]\bold{ y=x+2 }[/tex] reflects the tables (numerical substitution method). when [tex]\bold{ x=20 \ \ \ y= 20+2=22}[/tex]As just a result, [tex]\bold{ 22}[/tex] tickets were purchased again for roffle drawing.Therefore, the final answer is "[tex]\bold{y=x+2 \ and \ 22}[/tex]".
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Let's say you opened your laptop and positioned the
screen so it's exactly at 90° - a right angle - from your
keyboard. Now, let's say you could take the screen and
push it all the way down beyond 90°, until the back of the
screen is flat against your desk. It looks as if the angle
disappeared but hasn't. What is the angle called, and
what is the measurement?
A. Straight angle at 180°
B. Linear angle at 90°
C. Collinear angle at 120°
D. Horizontal angle at 180°
it will surely look like an angle on a straight line. which adds up.to 180,so the answer is horizontal angle at 180degrees
Final answer:
The correct answer is A. Straight angle at 180°, describing the angle formed when a laptop screen is moved from a 90° position to lying flat against the desk.
Explanation:
The question asks about the angle formed when a laptop screen is opened from a right angle (90°) to lying flat against the desk, covering a full range from vertical to horizontal. This describes a straight angle, which measures 180°. Initially, the laptop screen at a 90° angle to the keyboard represents a right angle. Pushing the screen down to lie flat transitions this to a straight angle, where the angle between the keyboard and the back of the screen spans a flat, straight line. Therefore, the correct answer is A. Straight angle at 180°.