I know it's easy but, I'm thinking of different ways of doing it.

I Know It's Easy But, I'm Thinking Of Different Ways Of Doing It.

Answers

Answer 1

Answer:

9 students

Explanation:

Every 8th person that entered the cinema received a free ticket.

The number of students who entered in the first hour = 76.

The first person given a ticket was the 8th person.

To calculate the number of persons who received a free ticket, we can view this problem as an arithmetic sequence in which:

• The first term = 8

,

• The last term = 76.

,

• The common difference (every 8th person) = 8.

Using the formula for the last term of an arithmetic sequence, we have:

[tex]\begin{gathered} l=a+(n-1)d_{} \\ 76=8+8(n-1) \end{gathered}[/tex]

Our goal is to find n, the number of students.

[tex]\begin{gathered} 76=8+8n-8 \\ 76=8n \\ n=\frac{76}{8} \\ n=9.5 \end{gathered}[/tex]

Since the number of students that entered in the first hour is not more than 76, we have that:

[tex]\begin{gathered} n\le9.5 \\ \implies n=9 \end{gathered}[/tex]

9 students received a free ticket.


Related Questions

e function.
f(x) = -4x² + 3x − 11
Find f(-4)

Answers

Answer:

-87

Step-by-step explanation:

-4x^2 + 3x - 11

-4(-4)^2 + 3(-4) - 11

-4 * 16 + 3(-4) - 11

-4 * 16 - 12 - 11

-64 - 12 - 11

-76 - 11

-87

Hope this helps! :)

1 The parent function f(x) = x was shifted
7 units down to create function b. Which
represents function?
A
b(x) = -7f(x)
B b(x) = f(x) - 7
C
b(x) = f(x + 7)
D
b(x) = 7-f(x)
What is the answer ?

Answers

The answer is b(x)=f(x)-7, which is option B.

The function that represents the new function b will be b(x) = f(x) - 7. Then the correct option is B.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The parent linear function is given below.

f(x) = x

The function is shifted downward direction by 7 units. Then the function b(x) will be given as,

b(x) = f(x) - 7

The function that represents the new function b will be b(x) = f(x) - 7. Then the correct option is B.

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Dilations and Partitions
A segment AB is partitioned as shown.
A
P
Complete the statement.

Answers

Answer:

3:7

Step-by-step explanation:

AR has 3 spaces while AB has 7 means its 3:7

please help me to find x,y and z​

Answers

Z = 35, X = 120, y = 35

Name the property illustrated.


(7 + 8) + 9 = 7 + (8 + 9)

Answers

answer: associative property

Step-by-step explanation:

ignore the 7. Appreciate if its done quickly. No need to graph. Just solve inequality

Answers

Answer:

[tex]x \leq -1[/tex]

Step-by-step explanation:

divide both sides by -4

-2 >= x - 1

(FLIP THE INEQUALITY!!!)

now add 1 to both sides

-1 >= x

flip the equation

x <= -1

that is your answer

9th term of 25,150,900

Answers

Answer: The 9th term is 41990400

Step-by-step explanation:

As we can see here 25, 150, 900 to find the common ratio i'll divide 150 by 25 which gives me 6

to 25 times 6 is 150

150 times 6 is 900

T=Term

1t=25 2t=150 3t=900 4t=5400 5t=32400 6t=194400 7t=1166400 8t=6998400 9t= 41990400

900*6= 5400

5400*6=32400

32400*6= 194400

194400*6= 1166400

1166400*6= 6998400

6998400*6=41990400

If f(x)= x³+4x² - 15-18 and a + 1 is a factor of f(x), then find all of the
zeros of f(x) algebraically?

Answers

Answer:

I believe you typed that wrong.

The third term should be -15X

And the 3 answers are 3 -6 -1

Step-by-step explanation:

Answer: x=-1   x=-6   x=3

Step-by-step explanation:

[tex]f(x)=x^3+4x^2-15x-18[/tex]

Let's isolate the multiplier (x+1) from the expression  x³+4x²-15x-18  :

[tex]x^3+4x^2-15x-18=\\\\x^3+x^2+3x^2-15x-18=\\\\x^2(x+1)+3(x^2-5x-6)=\\\\x^2(x+1)+3(x^2+x-6x-6)=\\\\x^2(x+1)+3(x(x+1)-6(x+1))=\\\\x^2(x+1)+3(x+1)(x-6)=\\\\(x+1)(x^2+3(x-6))=\\\\(x+1)(x^2+3x-18)[/tex]

Decompose the polynomial х²+3х-18 into factors:

[tex]x^2+3x-18=\\\\x^2+6x-3x-18=\\\\x(x+6)-3(x+6)=\\\\(x+6)(x-3)[/tex]

[tex]Thus,\\\\x^3+4x^2-15x-18=(x+1)(x+6)(x-3)\\\\[/tex]

[tex](x+1)(x+6)(x-3)=0\\\\x+1=0\\x+1-1=0-1\\x=-1\\\\x+6=0\\x+6-6=0-6\\x=-6\\\\x-3=0\\x-3+3=0+3\\x=3[/tex]

there are 10 questions on a discrete mathematics exam. how many ways are there to assign scores to the problems if the sum of the scores is 100 and each problem is worth at least 5 points?

Answers

There are 12,565,671,261 ways to assign scores to the problems in discrete mathematics exam.

What is meant by the term combination?A combination is a set of n items taken k at a time with no repetition. The conditions k-selection, k-multiset, and k-combination to repetition are frequently used to refer to combinations wherein repetition is permitted.

In this case, we must employ the combination as well as repetition formula.

C(n + r-1, r) = (n + r -1)!/ r! (n - 1) !

n = 10 is provided (The number of questions)

Every question is worth a minimum of 5 points.

For 10 question = 10×5 = 50 points.

The total are 100 (sum of the scores)

r = 100 - 50

r = 50

Applying the formula.

C(10 + 50 - 1 , 50) = (10 + 50 - 1)!/ 501 (10 - 1)!

C(59, 50) = 59!/50!9!

We get by clarifying the above factorial.

C(59, 50) = 12,565,671,261

Thus, there are 12,565,671,261 ways to assign scores to the problems in discrete mathematics exam.

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for every integer m, 7m 4 is not divisible by 7. construct a proof for the statement by selecting sentences from the following scrambled list and putting them in the correct order.

Answers

Answer: CAELYNN YOU WWELCOME

Step-by-step explanation:

7 +7+7+7+7+7

If X=[tex]\frac{2a+3}{3a-2}[/tex] ,express [tex]\frac{x-1}{2x+1}[/tex] in terms of a

Answers

Expressing [tex]\frac{x-1}{2x+1}[/tex]  in terms of a gives [tex]\frac{5-a}{7a+4}[/tex]

How to write the given expression in terms of a

Given that:

[tex]x=\frac{2a+3}{3a-2}[/tex]

[tex]\frac{x-1}{2x+1}[/tex]

The Knowledge required here is substitution, the value of x is given. Substitute [tex]x=\frac{2a+3}{3a-2}[/tex] in any place x is seen in the numerator and the denominator.

The numerator

x - 1

substituting the value of x

[tex]\frac{2a+3}{3a-2}-1[/tex]

[tex]\frac{(2a+3)-(3a-2)}{3a-2}[/tex]

[tex]\frac{2a+3-3a+2}{3a-2}[/tex]

[tex]\frac{5-a}{3a-2}[/tex]

The denominator

2x + 1

substituting the value of x

[tex]2*\frac{2a+3}{3a-2} +1[/tex]

[tex]\frac{4a+6}{3a-2} +1[/tex]

[tex]\frac{(4a+6)+(3a-2)}{3a-2}[/tex]

[tex]\frac{7a+4}{3a-2}[/tex]

combining the fraction

Here the numerator and the denominator is brought together and division of fraction is used to solve

[tex]\frac{\frac{5-a}{3a-2}}{\frac{7a+4}{3a-2}}[/tex]

[tex]\frac{5-a}{3a-2}}*\frac{3a-2}{7a+4}[/tex]

[tex]\frac{5-a}{7a+4}[/tex]

Using substitution as required, then expressing the equation in terms of a gives [tex]\frac{5-a}{7a+4}[/tex]

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What is an equation of the line that passes through the point (-1, 5) and is parallel
to the line x - y = 6?

Answers

Answer:

Step-by-step explanation:

An equation of the line that passes through the point (−4,8) and is parallel to the line x+y=6 could be y = - x + 4 .What is the Point-slope form?The equation of the straight line has its slope and given point.If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equationy-y₁ = m(x-x₁)Which is the required equation of a line in a point-slope form.WE havex + y = 6y = - x + 6Slope= -1Now, Use the same slope since the two lines are parallel to each other.Point-slope formula:y - 8 = -1 (x - - 4)y - 8 = -1 (x + 4)y - 8 + 8 = -x - 4 + 8y = - x + 4 (Slope-intercept form)Hence, an equation of the line that passes through the point (−4,8) and is parallel to the line x+y=6 could be y = - x + 4 .Learn more about slope here: brainly.com/question/2503591#SPJ2

⇒Parallel lines have equal gradients . It means that to obtain the gradient of the new equation we should first find the gradient of the given equation by writing the given equation in the form y=mx+c

[tex]x-y=6\\y=x-6[/tex]

⇒The gradient of the given equation is 1 as we know that the gradient of the equation is the coefficient of the variable x

This means the equation of the new equation is also going to be 1 since I explained above why.   to find the value of c in the new equation we will substitute the known values in the general equation including the point.

[tex]5=1(-1)+c\\6=-1+c\\c=5+1\\c=6[/tex]

This means that the new equation is going to be:

[tex]y=x+6[/tex]

Please HELP ME!!! due at 8pm tonight 10/12/22

Answers

Answer:

y=2x+4

Step-by-step explanation:

get x is get two point let’s say (-2,0) and (0,4)

The 4-0/0-(-2)=4/2=2 so 2 is x and (0,4) is where it hit the y axis so 4 is b plug in

Y=2x+2

y=-2x+4
If you remove the -2x, y would just equal 4 and on the graph the y axis (vertical axis) the line touches 4 on the y and -2 on the x axis (horizontal line)

Properties of equality can be used to justify steps in solving an equation.

Answers

Equation is 4x-1 =27. that means the correct answer is 27


What is an Equation?

The equals sign is used in mathematical formulas to show that two expressions are equal. In contrast to English, where an equation is defined as any well-formed formula that consists of two expressions joined by the equals sign, French defines an equation as containing one or more variables. The first stage in resolving a variable equation is determining the values of the variables that lead to equality.

Here, 4x-1 =27
We know that x=7
4x=27+1
4x= 28
Therefore x = 28÷4 = 7.
Hence, 4x-1 =27


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-3( v + 2) - 2v simplify use distributive property

Answers

NOTE -3 MUST MULTIPLY EVERYTHING IN THE BRACKETS.

[tex] = - 3(v) - 3(2) - 2v \\ = - 3v - 6 - 2v \\ = - 3v - 2v - 6 \\ = - 5v - 6[/tex]

GOODLUCK.

Trey is driving to Philadelphia. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Trey has 49 miles
to his destination after 37 minutes of driving, and he has 37.8 miles to his destination after 51 minutes of driving. How many miles will he have to his
destination after 57 minutes of driving?

distance (in miles)
Driving time(in minutes)

Answers

As per the linear function, the destination after 57 minutes of driving is 1055 miles.

Linear function:

The linear equation is defined as an algebraic equation of the form

y = mx + b.

involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given,

Trey is driving to Philadelphia. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes).

Trey has 49 miles to his destination after 37 minutes of driving, and he has 37.8 miles to his destination after 51 minutes of driving.

Here we need to find his destination after 57 minutes of driving.

In this one, first we have to find the linear equation for the situation.

For that, we need the slope and the intercept.

So, here we consider the distance as y axis and the corresponding time as x axis. then we get the points as,

(x1. y1) => (37, 49)

(x2, y2) => (51,37.8)

Then the slope of the line is calculated as,

m = (37.8 - 49) / (51 - 37)

m = -11.2/14

Now, the intercept is calculated using the point (37,49) and the slope m = -11.2/14 is,

49 = -11.2/14(37) + b

686 = -414.4 + b

b = 1100.4

So, the linear equation of the function is

y = -11.2/14x + 1100.4

Here we need to find the distance when the time is 57 minutes,

For that, we have to apply the value of x as 57, to get the value of y,

Therefore,

y = -11.2/14 (57) + 1100.4

y = -45.6 + 1100.4

y = 1055

Therefore, the destination after 57 minutes of driving is 1055 miles.

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I need help doing this, I dont really know how. show work

Answers

Check the picture below.

guage arts
Science
Social studies
Y.10 Solve one-step and two-step equations: word problems HCP
Submit
Recommendations
Skill plans
Brianna is very good at keeping her school binder organized. Every time her teacher returns
an assignment, Brianna puts it in the right section. Brianna has 113 assignments in the
history, science, and art sections combined. The rest of her assignments are in the math
section. Brianna has 182 assignments in total.
Use an equation to find the number of assignments in the math section of Brianna's binder.
assignments
You

Answers

The number of mathematics assignments are 69.

How to form an equation?

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y). When attempting to solve systems involving two linear equations, this form is also quite helpful.

Given : Brianna has 113 assignments in history, science and art.

Let x be the number of assignments that are in math section. There are 182 assignments in total.

The equation to represent this is

113 + x = 182

x = 182 - 113 = 69.

So the number of math assignments are 69.

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Graph the function 6=3y

Answers

this is the answer to your question

suppose f(x) = 3x + 10 and g(x) = 17x + 4
find (f+g) (x)

Answers

Suppose the function f(x) = 3x+10 and g(x) = 17x+4, then the value of (f+g)(x) is 20x+14

The function is an expression the show the relationship between one variable and another variable. If one variable is dependent variable another variable will be independent variable.  We can also says that the function shows the relationship between set of inputs and set  of out puts

The function f(x) = 3x+10

g(x) = 17x+4

We have to find the value of (f+g)(x)

We know,

(f+g)(x) = f(x) + g(x)

Substitute the values in the equation

(f+g)(x) = 3x+10 + 17x+4

Add the like terms

(f+g)(x)  = 20x+14

Hence, suppose the function f(x) = 3x+10 and g(x) = 17x+4, then the value of (f+g)(x) is 20x+14

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Jenna is now x years old and Amy is 3 years younger than Jenna. In terms of x, how old will Amy be in 4 years?

Answers

Answer:

x-3+4 = x+1

Step-by-step explanation:

x-3+4 = x+1.

Need help with math question ​

Answers

Answer:

3/2

Step-by-step explanation:

XY/Z

-2×-3/4

6/4

3/2

it’s 3 over 2



-2x-3=6/4 divide both sides by 2 and u get 3/2

d = 4n-2 solve for n

Answers

The value of the equation d = 4n - 2 for n is (d + 2) ÷ 4.

Given data, d = 4n - 2

For finding the value of n first add 2 to both the side,

d + 2 = 4n - 2 + 2

d + 2 = 4n

Now, divide 4 into both sides of the equation:

(d + 2) ÷ 4 = 4n ÷ 4

(d + 2) ÷ 4 = n

∴ The value of n after solving the equation d = 4n - 2 is (d + 2) ÷ 4.

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As a children's librarian, Jodi Hassam earns $15.35 per hour plus time and a hall for weekend work Last week she worked her regular 40 hours plus 16 hours on the weekend. What was her total pay for the week?

Answers

Answer:

Jodi's total pay for the week is $ 982.40

Step-by-step explanation:

Discussion Topic Ratios and rates are ways to relate different quantities. For example, for every 1 car, there are 4 tires. This is a ratio. What other examples of ratios can you think of? A rate is similar to a ratio. Rates usually include the word per. One example of a rate is a car driving 60 miles per hour. What other examples of rates can you come up with?

Answers

Some examples of ratios are:

There are 20 passengers on each bus

There are 2 red and 3 black balls in each box.

Some examples of unit rates are:

The man can run 10 miles in one hour.

I can type 100 words in 30 minutes.

What is ratio and unit rate?

A unit rate means a rate for one of something.

We write this as a ratio with a denominator of one. 

The ratio is the comparison of two quantities of the same units.

We have,

Ratio:

For every 1 car, there are 4 tires.

We can have some examples of ratios as:

1 - There are 20 passengers on each bus

2 - There are 2 red and 3 black balls in each box.

Unit rate:

Car driving 60 miles per hour.

We can have some examples of unit rates:

1 - The man can run 10 miles in one hour.

2 - I can type 100 words in 30 minutes.

Thus,

Some examples of ratios are:

There are 20 passengers on each bus

There are 2 red and 3 black balls in each box.

Some examples of unit rates are:

The man can run 10 miles in one hour.

I can type 100 words in 30 minutes.

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a solid cube has side length 3 inches. a 2-inch by 2-inch square hole is cut into the center of each face. the edges of each cut are parallel to the edges of the cube, and each hole goes all the way through the cube. what is the volume, in cubic inches, of the remaining solid?

Answers

The volume of remaining solid is 7 in³.

What is volume of cube?

The whole three-dimensional area occupied by a cube is its volume.

A cube is a solid 3-D object with six square faces and equal-length sides.

The cube is one of the five platonic solid shapes and is also referred to as a regular hexahedron.

The cubic units are used to represent the cube's volume.

Imagine performing each cut individually.

A box 2*2*3 is eliminated in the initial cut. Two boxes with dimensions of 2*2*0.5 are removed during the second cut, and the third cut eliminates the same number of boxes on the final two faces.

Therefore, the sum of all cuts is 12 + 4 + 4 = 20.

∴Volume of rest of cube = 3³-20

                                         = 7 in³

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Given the line segment AB with endpoints (-10,0) and (6,8). Find the approximate value of AB, round the answer to the nearest tenth if necessary. Then find the exact coordinates of its midpoint.

Answers

The line segment AB with endpoints (-10,0) and (6,8). The equation of the line segment is x-2y+10=0.

Given that,

The line segment AB with endpoints (-10,0) and (6,8).

We have to find the equation of the line segment.

The equation of the line formula is y-y₁=m(x-x₁).

Here we don't know the m value that is nothing but slope of the line.

First we have to find the slope of the line segment.

Slope of the line m=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

m=(8-0)/(6+10)

m=8/16

m=1/2

Now,

We know the equation of line is y-y₁=m(x-x₁)

y-0=1/2(x+10)

2y=x+10

x-2y+10=0

Therefore, The equation of the line segment is x-2y+10=0.

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7y - 14 factor please ..

Answers

Answer:

2

Step-by-step explanation:

7y-14=0

7y=14

7y/7=14/7

y=2

suppose that a certain college class contains students. of these, are juniors, are chemistry majors, and are neither. a student is selected at random from the class. (a) what is the probability that the student is both a junior and a chemistry major? (b) given that the student selected is a junior, what is the probability that she is also a chemistry major?

Answers

The answer will be .25 and .25 for both set of question. using probablity.

What is Probability ?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities.

Total number of students =1-juniors+chemistry+neither+both

(a) For both a junior and chemistry major =1/4 =. 25

(b) probability that she is also a chemistry major will be 1/4 =. 25

Hence The answer for the above two set of qustion will be .25 and .25.

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Dividing polynomials
(12x5+4x4-24x²-8x) + (3x + 1)

Answers

Answer:

Any quotient of polynomials a(x)/b(x) can be written as q(x)+r(x)/b(x), where the degree of r(x) is less than the degree of b(x). For example, (x²-3x+5)/(x-1) can be written as x-2+3/(x-1).

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