A movie theater is holding a contest for people who are in line before 10 p.m. The people who are within three places of the 99
person in line will win a free movie ticket. Based on this information, which inequality can be used to find all of the winners of the
movie tickets?
A. 199 +31 < x
B. X-9913
C. 1x + 991<3
D.
X-991 < x​

Answers

Answer 1

Answer:

|x-99|<3

Step-by-step explanation:

|x-99|<3

Answer 2
Final answer:

The correct mathematical inequality representation for the problem given would be |x - 99| ≤ 3, accounting for people three places ahead or behind the 99th person in line who are eligible to win.

Explanation:

The inequality to find all the winners of the movie tickets, based on the information given, would be |x - 99| ≤ 3. This way of expressing the relationship tells us that as we move three places forward or backwards from the 99th person in line, they are still within the range to win a free movie ticket. The 'x' in the inequality stands for the position in line. In this case, the solution to the inequality |x - 99| ≤ 3 is the set of all numbers in line that are within three places of the 99th person, which are positions 96 to 102 inclusively.

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Related Questions

At A Sale, Sarah Bought 4 T-shirts And 3 Pairs Of Jeans For $181. Jenna Bought 1 T-shirt and 2 Pairs Of Jeans For $94. The T-shirts Were All The Same Price And The Jeans Were All The Same Price, So The Following system of Equations Represents This Situation. Determine The Best Method To Solve The System of Equations of Equations. Then Solve The System.​

Answers

The T-shirts are $16 each while the jeans are $39 each Hope it helps

Which statements are true about box plots? Check all that apply. They help describe sets of data. They include the mean. They show the data split into four parts. They show outliers through really short “whiskers.” Each section of a box plot represents 25% of the data.

Answers

Answer:

Step-by-step explanation:

a c e

is the answer

Answer:

a c e the one above me is ri

Step-by-step explanation:

1/3 b = 5/4 . Which of the following equals b in this equation? A. 2 2/5 B. 1 1/8 C. 2/5 D. 1/4​

Answers

Answer:

Step-by-step explanation:

Multiplying both sides of this equation by 3/1 will isolate b:

(3/1)(1/3)b = (3/1)(5/4) = 15/4 or 3  3/4.

Answer:

15/4

Step-by-step explanation:

Ok so the equation we have is:

[tex]\frac{1}{3} b = \frac{5}{4}[/tex]

Now we can multiply both sides by 3

[tex]1b = 15/4[/tex]

[tex]\frac{15}{4}[/tex]

3. Consider the following box plot.

(a) Find the interquartile range.
(b) What percent of values is included in the interquartile range?

Answers

Answer:

A) 2.5

B) 50% of the values.

Step-by-step explanation:

A)

    The range of data starts at 2.0 and ends at 4.5 (i know it's a bit hard to tell lol), by subtracting 2.0 from 4.5 you get the interquartile range, 2.5.

B)

    25% of the values are mentioned in the box plot before the median, and 25% of the values are mentioned after the median in the box plot. This together gives you a sum of 50% of the values. Another way to do it is that outside of the interquartile range is 50% of the values.

what is angle F to the nearest degree?

Answers

Answer:

So we already knew all three sides, there are more than one way to do it, for example:

sin∠F = HG/HF = 12/13

cos∠F = GF/HF = 5/13

tan∠F = HG/GF = 12/5

ctg∠F = GF/HG = 5/12

All of them will give you the result which is approximately 67°.

Use the remainder theorem to divide 5x^2+9x-2 by x+3. What is the remainder

Answers

Answer:

16

Step-by-step explanation:

Given

f(x)=5x^2+9x-2

Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).

Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:

f(x)=5x^2+9x-2

f(-3) = 5(-3)^2 +9(-3) -2

       =5(9) - 27 -2

       = 45-29

        = 16 !

Answer:

16

Step-by-step explanation:

apexs

Which of the following is a correct interpretation of the expression 2 + 7?
Choose 1 answer:
(A)
The number that is 2 to the left of - 7 on the number line
i on the number line
(c)
The number that is T to the left of 2 on the number line
(D). The number that is 7 to the right of 2 on the number line​

Answers

Answer:

(D). The number that is 7 to the right of 2 on the number line​

Step-by-step explanation:

It could also be the number that is 2 to the right of 7 on the number line. When numbers are added, the distances of each to the origin are laid end-to-end from the origin to the right on the number line.

2+7 can mean that the distance 2 is added to the distance 7, or vice versa. (The commutative property of addition says order does not matter.)

Answer: D is right, not lying

Step-by-step explanation:

THIS IS 61 POINTS. Find the first three terms of the sequence described by the following recursive formula: an = 3an – 1 + 2 where a4 = 20

a1=
a2=
a3=

Answers

Answer:

see explanation

Step-by-step explanation:

Given the recursive formula

[tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] + 2 and a₄ = 20

Then working in reverse

3a₃ + 2 = 20 ( subtract 2 from both sides )

3a₃ = 18 ( divide both sides by 3 )

a₃ = 6

3a₂ + 2 = 6 ( subtract 2 from both sides )

3a₂ = 4 ( divide both sides by 3 )

a₂ = [tex]\frac{4}{3}[/tex]

3a₁ + 2 = [tex]\frac{4}{3}[/tex] ( subtract 2 from both sides )

3a₁ = - [tex]\frac{2}{3}[/tex] ( divide both sides by 3 )

a₁ = - [tex]\frac{2}{9}[/tex]

Hence

a₁ = - [tex]\frac{2}{9}[/tex]

a₂ = [tex]\frac{4}{3}[/tex]

a₃ = 6

a1 = (-2/9)

a2 = 4/3

a3 = 6

Hope this helps!

given the table of values below, which of the following ordered pairs are found on the graph of the inverse function?

Answers

Answer:

Option A. is the correct option.

Step-by-step explanation:

As per table given in this question values of the function has been given as

f(x) = -3 for x = -2

We can rewrite the function as f(-2) = -3

As we know inverse of the function means [tex]-2 = f^{-1}(-3)[/tex]

or inverse function g(-3) = -2

and the ordered pair for the inverse function will be (-3, -2)

Similarly other ordered pairs for the inverse function given will be

(3, -1), (9, 0), (15, 1), (21, 2)

Therefore, the ordered pairs will be (-3, -2), (3, -1), (9, 0), (15, 1), (21, 2)

Option A is the right option.

Equal measure? Need help with the questions? Question are at the top in the pic ?

Answers

Answer:

1. 4; 2. 32; 3. 9; 4. 8; 5. 12; 6. 16; 7. 6; 8. 8; 9. 8; 10. 8

Can anyone help me with this.

Answers

Answer:

a) third; from left most graph

b) fourth; right most graph

Step-by-step explanation:

Part a)

The graph is between the speed and time.

Nicole begin jogging faster and faster i.e. speed is increasing w.r.t time thus we have linear line in beginning.

Then she hits a comfortable speed and stayed at it i.e. speed remained constant for that time. Thus we have a straight line.

After that she gradually slows down,i.e speed is decreasing w.r.t time. Thus we have decreasing linear line.

So the graph shape is linear line with increasing slope-a constant straight line-linear line with decreasing slope

which is the third; from left most graph in option

Part b)

The graph is between Distance to campus and time.

As Dale is hiking towards campus, distance should decrease w.r.t time.

In beginning, he is hiking at constant speed towards campus thus the distance towards the campus is decreasing w.r.t time. We get a decreasing linear line.

*Note: here constant speed is not important, instead hiking towards i.e. the direction is important because of the campus distance covered

Then he sees a snake and turn and runs the other way. Thus now the distance towards the campus is increasing. And we get increasing linear line.

*Note running other way is important because of the campus distance covered

After that, he sits for a while i.e he stops and so the distance towards campus also become constant w.r.t time. we get a straight line on the graph.

So the graph shape is linear line with decreasing slope-linear line with increasing slope-a constant straight line

which is the right-most graph in option !

Ari’s teacher says he may have his report grade based on either the mean or the median of his last six test scores.

88%, 73%, 97%, 76%, 90%, 80%

Which measure of center would best represent Ari’s grade?

Answers

The mean would be the best! The mean is when you add up all of those grades and divide by the amount of exams.

If you're solving it,

504 is the total divided by 6 tests would be 84.

The answer is 84 I’m glad i could help you

What should be done to x^2+ 15x in order to create a perfect square?

Answers

Answer:

Add 225/4 to x^2 + 15x.

Step-by-step explanation:

Take the coefficient of the middle term, 15.

Now divide it by 2, 15/2.

Square that, 225/4.

Add 225/4 to x^2 + 15x.

To create a perfect square, add 225/4 in the quadratic function x²+ 15x.

What is a quadratic equation ?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a quadratic function:

= x²+ 15x

To create a perfect square, add and subtract by 225/4

= x²+ 15x + 225/4 - 225/4

= x²+ 15x + 15²/2² - 225/4

= (x + 15/2)² - 225/4

Thus, to create a perfect square, add 225/4 in the quadratic function x²+ 15x.

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The number 15. 24 is an example of a repeating decimal.

true. false.

Answers

Final answer:

No, the number 15.24 is not a repeating decimal.

Explanation:

No, the number 15.24 is not an example of a repeating decimal.

A repeating decimal is a number whose decimal representation goes on forever and repeats a block of one or more digits. For example, the number 0.3333... is a repeating decimal because the digit 3 repeats infinitely.

In the case of 15.24, the decimal representation terminates after two decimal places.

This is because it has a fixed and finite decimal representation. The digits "15" represent the whole number part, and the "24" represents the fractional part. Since there is no repeating pattern of digits after the decimal point, 15.24 is classified as a terminating decimal, not a repeating one.

Therefore, it is not a repeating decimal.

Write the integers -7, 4, -2 and 5 in order from least to greatest. Explain how you decided.

Answers

Answer:

-7, -2, 4, 5

Step-by-step explanation:

Integers with a dash in the front of them signify a negative. With negative numbers, the higher the value of the accompanying number, the lower value it has as a negative number, so, of course the negative integers would go from the "least" end of the spectrum. Because 7 has a higher positive value than 2, it has a lower negative value, putting -7 on the lower end, following it with the -2. As 5 has a higher positive value than 4, 5 is put on the highest end on the spectrum, with 4 right behind it. With all of these integers settled, we can organize the numbers in the order of -7, then -2, then 4, then 5.

Step-by-step explanation: To write these integers from least to greatest, first draw a number line and graph each of the integers

In the image provided, notice that I've only labeled every other unit on the number line. This  is a labeling technique that we can use to keep things from getting too crowded on the number line.

Now, let's graph our integers.

Integers to the left are always less than integers to to the right. So in this problem, we can see that -7 < -2 < 4 < 5.

help me with this one​

Answers

Answer: IM pretty sure its A

Step-by-step explanation: Thanks for being Brain member help.

NEED HELP FAST!!!!!!!

Answers

Answer:

A. [tex]C=K-273[/tex]

Step-by-step explanation:

You are given the formula

[tex]K=C+273[/tex]

You have to find C in terms of K. Subtract 273 from both sides of this equation:

[tex]K-273=C+273-273\\ \\K-273=C\\ \\C=K-273[/tex]

ANSWER

C=K-273

EXPLANATION

The given formula is: K=C+273

We need to solve this formula for the variable, C.

This means that we need to isolate the variable C on one side of the equation, leaving any other terms on the other side of the equation.

We subtract 273 from both sides of the equation to obtain,

K-273=C

This is the same as

C=C-273

Which points are coplanar and non-collinear.Will mark Brainiest

Answers

Answer:

I believe A, C, and D are Coplanar and i think B. is non-collinear.

Step-by-step explanation:

A, C and D are coplanar because they lie on the same line.

B is non-collinear, because it don't lie on the same line as A, C, and D.

Hope my answer has helped you!

Which expression shows six less than the product 12 and 8?

Answers

Answer: (12)(8)-6

Step-by-step explanation: Product indicates you are going to multiply the numbers. When you see the phrase "less than" you want to flip the numbers.

Write an addition equation or a subtraction equation your choice to describe the dias

CAN SEBODY HELP PLEASE ?!​

Answers

Answer:

Step-by-step explanation:

Unsure of what you're asking here.  What's "dias?"

I do see that the longer arrow has length 5 (there are 5 squares along this arrow from bottom to top) and that the shorter one has length 2.

If we add these two vectors together, we get a vector of length 5 + 2, or 7, that points upward just as these two original vectors do.

yes that would work but just keep that in mind that 1+1=2

Which of the following statements is equivalent to P(Z21.7)?
O P(Z2-1.7)
O 1 - P(z2-1.7)
O P(Z51.7)
O 1-P(z21.7)

Answers

The equivalent expression of the expression P (z ≥ 1.7) is,

⇒ 1 - P (z ≥ - 1.7)

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

The expression is,

⇒ P (z ≥ 1.7)

Now, By definition of Probability of z - score we get;

⇒ P (z ≥ 1.7) = 1 - P (z ≥ - 1.7)

Thus, The equivalent expression of the expression P (z ≥ 1.7) is,

⇒ 1 - P (z ≥ - 1.7)

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Plz help me with this

Answers

Answer: B) rate of change of f(x) > rate of change of g(x)

Step-by-step explanation:

f(x) = 2ˣ

f(2) = 2² = 4 --> (2, 4)

f(3) = 2³ = 8 --> (3, 8)

rate of change (aka slope) of f(x):

[tex]\dfrac{8-4}{3-2}=\dfrac{4}{1}=\large\boxed{4}[/tex]

g(x) = 2x (graph)

g(2) = 4

g(3) = 6

rate of change (aka slope) of g(x):

[tex]\dfrac{6-4}{3-2}=\dfrac{2}{1}=\large\boxed{2}[/tex]

Identify the method that will be used to solve for x for each equation.

4x = 20

x – 11 = 9

5x + 6x = 22

5(x – 2) = 30

Answers

Answer:

for 4x = 20 you have to use the division property of equality divide 20 by 4

for x - 11 = 9 you have to use the addition property of equality add 9 to 11

for 5x + 6x = 22 you have to combine like terms add 5x and 6x to make 11x

for 5(x – 2) = 30 you have to use the distributive property multiply 5 and x; 5 and -2

4x = 20; x = 5

x - 11 = 9; x = 20

5x + 6x = 22; 11x = 22; x = 2

5(x – 2) = 30; 5x - 10 = 30; x = 8

Answer:

1. B

2. A

3. A

4. B

Step-by-step explanation:

Find the percent change from 84 to 63.

Answers

Answer:

-25%

20 characters

so the difference is 84 - 63 = 21.

if we take 84 to be the 100%, what is 21 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 84&100\\ 21&x \end{array}\implies \cfrac{84}{21}=\cfrac{100}{x}\implies 4=\cfrac{100}{x}\implies 4x=100 \\\\\\ x=\cfrac{100}{4}\implies x=25[/tex]

55:49
The height, h, of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the function
h(t) = 300 - 167. Which expression could be used to determine the average rate at which the object falls during the first 3
seconds of its fall?
h(3) – h(0)
h(3)
h(3) - (0)

Answers

I believe the correct answer from the choices listed above is option D. The expression that could be used to determine the average rate at which the object falls during the first 3 seconds of its fall would be  (h(3)-h(0))/3. Average rate can be calculated by the general formula:

Average rate = (change in y-axis) / (change in x-axis)

In this case,

Average rate = (change in height) / (change in time)

Final answer:

The average rate at which the object falls during the first 3 seconds can be calculated using the equation for average rate of change (h(3) - h(0))/3. Using the given function h(t) = 300 - 16t, this comes out to be -16 feet per second.

Explanation:

In this problem, we are given a mathematical model of a falling object, as follows: h(t) = 300 - 16t. Here, the function h(t) represents the height of the object t seconds after it is dropped from a platform 300 feet above the ground.

To determine the average rate at which the object falls during the first 3 seconds, we should use the equation for average rate of change in functions. That is, the change in height divided by the change in time, or (h(3) - h(0))/3.

Let's calculate: h(3) = 300 - 16*3 = 252, and h(0) = 300. Then, the average rate = (252 - 300) / 3 = -48/3 = -16 ft/sec. This indicates that the object falls at an average rate of 16 feet per second during the first three seconds.

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How many gallons of 20% salt solution must be mixed with 4 gallons of 40% salt solution to make 25% salt solution?

Answers

If [tex]x[/tex] is the amount (gal) of the 20% solution to be used, then the mixture would have a total volume of [tex]x+4[/tex] gal. We want to end up with a 25% salt solution, so that

[tex]0.2x+0.4\cdot4=0.25(x+4)[/tex]

[tex]\implies0.2x+1.6=0.25x+1[/tex]

[tex]\implies0.6=0.05x[/tex]

[tex]\implies x=12[/tex]

John scored 48, 59, and 62 points. His average score was 60%. What was the last score to make it average?

91
26
78
71

Answers

Answer:

Hello! Your answer is 71.

Step-by-step explanation:

(48+59+62+71) =240

240 ÷ 4 = 60.

The 4 is the four different points he got.

The 60 is the average percent.

HOPE THIS HELPS!

48+59+62+x / 4=60

169+x / 4=60

169+x=60×4

169+x=240

x=240-169

x=71

This is the answer

hope you understand

ANSWER CORRECTLY ILL GIVE BRAINLIST IF RIGHT :D

Answers

Use the Pythagorean theorem:

30^2 + 40^2 = X^2

900+ 1600 = x^2

X^2 = 2500

x = √2500

x = 50

The answer is 50 feet.

Simplify (4x + 12) - (6x - 18)

Answers

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  

                    4*x-12-(6*x-18)=0

Step-by-step explanation:

Pull out like factors :

  -2x + 6  =   -2 • (x - 3)

Hello there!

Start by removing the parenthesis combining like terms.

(4x + 12) - (6x - 18)

4x + 12 - 6x - 18

4x - 6x + 12 - 18

Next, simplify.

-2x + 12 - 18

-2x - 6

This is the final answer and it cannot be simplified any further, I hope this was helpful!

The length of a rectangle is 4 times its width and the perimeter is 150
feet.
What is the width of the rectangle?
A. 15 feet

B. 75 feet

C. 30 feet

D. 60 feet

Answers

Answer:

Y = W = 15 ft.

X= L = 60 ft.

So width is 15 and the length is 60.

Answer: A. 15 feet

Step-by-step explanation:

The formula used to calculate the perimeter of a rectangle is:

[tex]P=2l+2w[/tex]

Where "l" is the lenght of the rectangle and "w" is the width.

You know that the length of this rectangle is 4 times its width. This means that:

[tex]l=4w[/tex]

And you know that the perimeter is 150 feet.

Then, you need to substitute  [tex]l=4w[/tex] and the value of the perimeter into the formula and solve for "w":

[tex]150=2(4w)+2w\\\\150=10w\\\\w=\frac{150}{10}\\\\w=15feet[/tex]

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