Amy is having her birthday party at a roller skating rink. The rink charges a fee of $50 plus $8 per person. If Amy wants to spend at the most $170 for the party at the rink, how many people can she invite to her party? Write a let x statement, an inequality and solve.

Answers

Answer 1

Answer:

(170 - 50)/8 = X

Step-by-step explanation:

X = amount of people

(170 - 50)/8 = X

Inequality

X = Number of People

50+(8*X) [tex]\leq[/tex] 170

Answer 2

The x statement is x ≤ 15. An inference is a statement that expresses the relationship between two (or more) expressions using one of the five signs listed below.

What is meant by inequality?Inequality the state of not being equal, particularly in status, rights, and opportunities1 is central to social justice theories. However, it is prone to misunderstanding in public debate because it means different things to different people. Some distinctions, however, are universal. A solution to an inequality in x is a number that, when substituted for x, yields a true statement. So, for example, 4 is a solution, whereas 8 is not. An inequality's solution set is the set of all solutions.The expression 5x 4 > 2x + 3 resembles an equation, but the equals sign has been replaced by an arrowhead. It's an example of inequity.

Therefore,

(170 - 50)/8 = X

X = Number of People Over 50 (170 - 50)/8 = X

Inequality (8 × X) ≤ 170

An inequality is a statement that expresses the relationship between two (or more) expressions using one of the five signs listed below.

To learn more about inequality, refer to:

https://brainly.com/question/24372553

#SPJ2


Related Questions

estimate the answer for 1 2/3 x 5 1/10 (type a whole number​

Answers

Answer:

Exact Form:

17/2

Decimal Form:

8.5

Mixed Number Form:

8 1/2

A newspaper is launching a new advertising campaign in order to increase the number of daily subscribers. The newspaper currently ​(t​0) has​ 26,000 daily subscribers and management expects that​ number, S(t), to grow at the rate of subscribers per​ day, where t is the number of days since the campaign began. How long​ (to the nearest​ day) should the campaign last if the newspaper wants the number of daily subscribers to grow to​ 49,000?

Answers

Answer:

57 days

Step-by-step explanation:

Given that:

t(0) = 26000

Growth rate (S'(t)) = 80t^1/2

Targeted number of subscribers = 49000

Take the integral of the growth rate :

∫80t^1/2dt = [(80t^(1/2 + 1)) / 1/2 + 1] + C

[(80t^(1/2 + 1)) / 1/2 + 1] + C = (80t^3/2) / 3/2 + C

(80t^3/2) * 3/2 + C = (160/3)t^3/2 + C

(160/3)t^3/2 + C

Let C = t(0)

(160/3)t^3/2 + 26000 = 49000

(160/3)t^3/2 = 49000 - 26000

(160/3)t^3/2 = 23000

Multiply both sides by 3/160

t^3/2 = 23000* 3/160

t^3/2 = 69000/160

t^3/2 = 431.25

t^(3/2 * 2/3) = 431.25^2/3

t = 57.080277

t = 57 days (approx.)

Translate the sentence into an equation.
Seven times the sum of a number and 2 is 6.
Use the variable y for the unknown number.

Answers

Answer:

7(y+2)=6

Step-by-step explanation:

its right

SOMEONE PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

A.

Step-by-step explanation:

If a roof has a pitch of 5 to 11, how high will the roof rise over a 33-foot run?
a.
3
C.
2
72 feet
1 feet
b. 15 feet
d.
20 feet

Answers

The answer is b. 15ft

Your teacher invented another game: You will pick one card from a deck of cards. If
you pick a heart, you will win $25.00. Otherwise, you will lose $5.00.
From the standpoint of the player, what is the expected value of this game?
Enter expected value
What does the expected value tell us about the game?
O The game is good to play, you will make money on average.
O The game is NOT good to play, you will tend to lose money.
O It doesn't matter if you play, you will generally break even.

Answers

Answer:

C

Step-by-step explanation:

Write the following as an inequality. 9 is greater than x, and 3 is less than x Use x only once in your inequality. also please understand that two people need to answer the question for me to give brainiest, and yes once two people answer I will choose brainliest for whoever is correct

Answers

Answer:

9>x>3

Step-by-step explanation:

the open side always faces the greater value

7th grade math help me plzzzz

Answers

Answer:

a. -14

b. -13

c. -5

d. -3

e. -12

f. 0

Step-by-step explanation:

hope it helps

Answer:

A is -14.

B is -13

C is -5

D is -3

E is -12

F is 0

Step-by-step explanation:

A, B, E both numbers are negative so you just add them together and add a negative sign.

C would read 4-9

D 10-7 and add a - to the answer

F is 6-6

If b^2 = 25 then b= Answer it please

Answers

Answer:

b = 5

mark me as brainliest plz!! :DD

I thought of a two-digit number. The unit digit of my number is 7 more than the tens digit cubed. What is my number?

Answers

Answer:

18

Step-by-step explanation:

The tens digit a is cubed (a³ ) still less than the biggest possible 1 -digit number . It can be only 0 or 1 , so even 2³ =8 ( in such case the unit digit is 15,- that's  not possible) .

0 can not be the the first digit in 2 digit number. So the only possible tens digit is 1. So the unit number is 1+7=8.

Answer 18

Answer:

18

Step-by-step explanation:

QUICK
solve this equation
a^n+b^n=

Answers

Hey can someone help me with my latest question no one‘s helping me and I really need it

your job requires that you work at least 40 hours a week you have already worked 15 and there are 4 more days left in the week how many hours do you have to work each day to get at least 40 hours: inequality and solution

Answers

Answer:

6.25 hours

Step-by-step explanation:

this is rather simple really,

first, you have to work 40 hours a week

you have already worked 15 so now you can subtract that

40-15= 25hrs

if you have 4 more days of the week you divide the remaining hours by the days left

25/4= 6.25hrs

that would be the bare minimum of hours for you to work a 40 hour week.

Michael exercises more than 35 minutes per day.
Use t to represent Michael's amount of exercise (in minutes per day).

Answers

Answer:

t>35

Step-by-step explanation:

Since Michael exercises more than 35 days, t is greater than 35. To express that in an inequality, the answer is t>35. Hope this helped!

Number 10 plzz???????

Answers

%error=(6.5g/mol - 7g/mol)/(7g/mol) * 100= 7.14% error

You have 8 donuts and you want to give 1/4 of them to a friend. How many donuts would your friend get?​

Answers

Answer: pretty sure the friend would get 2 donuts

Step-by-step explanation:

find the sum of 2x ÷ x-1 and x÷x-1​

Answers

Answer with step-by-step explanation:

First of all, ORDER OF OPERATIONS!! 2x/x is 2/1, which is 2. Then, subtract 1, which is 1.

2x ÷ x - 1 = 1

Same thing: x/x = 1. Subtract 1 from 1, which is 0.

x ÷ x - 1 = 0

1 + 0 = 1

Hope this helped!

In a certain state's lottery, 45 balls numbered 1 through 45 are placed in a machine and eight of them are drawn at random. If the eight numbers drawn match the numbers that a player had chosen, the player wins $1,000,000. In this lottery, the order in which the numbers are drawn does not matter.

Compute the probability that you win the million-dollar prize if you purchase a single lottery ticket. Write your answer as a reduced fraction.
P
(win) =

A single lottery ticket costs $2. Compute the Expected Value, to the state, if 10,000 lottery tickets are sold. Round your answer to the nearest dollar.
Answer: $
A single lottery ticket costs $2. Compute the Expected Value, to you, if you purchase 10,000 lottery tickets. Round your answer to the nearest dollar.
Answer: $

Answers

Step-by-step explanation:

The order of the numbers doesn't matter, so we'll use combinations instead of permutations.  The number of combinations is:

₄₅C₈ = 215,553,195

So the probability of a ticket having the winning combination is 1 / 215,553,195.

The expected value to the state is:

E(X) = 10,000 (1) ($2) + 10,000 (1 / 215,553,195) (-$1,000,000)

E(X) = $19954

The expected value to you is:

E(X) = 10,000 (1) (-$2) + 10,000 (1 / 215,553,195) ($1,000,000)

E(X) = -$19954

the half life of c14 is 5730 years. Suppose that wood found at an archeological excavation site contains about 35% as much C14 as does living plant material. Determine when the wood was cut

Answers

Answer:

The wood was cut approximately 8679 years ago.

Step-by-step explanation:

At first we assume that examination occured in 2020. The decay of radioactive isotopes are represented by the following ordinary differential equation:

[tex]\frac{dm}{dt} = -\frac{m}{\tau}[/tex] (Eq. 1)

Where:

[tex]\frac{dm}{dt}[/tex] - First derivative of mass in time, measured in miligrams per year.

[tex]\tau[/tex] - Time constant, measured in years.

[tex]m[/tex] - Mass of the radioactive isotope, measured in miligrams.

Now we obtain the solution of this differential equation:

[tex]\int {\frac{dm}{m} } = -\frac{1}{\tau}\int dt[/tex]

[tex]\ln m = -\frac{1}{\tau} + C[/tex]

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (Eq. 2)

Where:

[tex]m_{o}[/tex] - Initial mass of isotope, measured in miligrams.

[tex]t[/tex] - Time, measured in years.

And time is cleared within the equation:

[tex]t = -\tau \cdot \ln \left[\frac{m(t)}{m_{o}} \right][/tex]

Then, time constant can be found as a function of half-life:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (Eq. 3)

If we know that [tex]t_{1/2} = 5730\,yr[/tex] and [tex]\frac{m(t)}{m_{o}} = 0.35[/tex], then:

[tex]\tau = \frac{5730\,yr}{\ln 2}[/tex]

[tex]\tau \approx 8266.643\,yr[/tex]

[tex]t = -(8266.643\,yr)\cdot \ln 0.35[/tex]

[tex]t \approx 8678.505\,yr[/tex]

The wood was cut approximately 8679 years ago.

8 tomatoes for $2 unit rate
I don't have much so please 17

Answers

That would be 16 dollars I’m pretty sure dude

B^2 + 11b + 18 ( Factor the question)
Help please!

Answers

(x+2)(x+9)
................................

Answer:

=b^2+(9+2)b+18

=b^2+9b+2b+18

=b(b+9)+2(b+9)

=(b+9)(b+2)

Its late and i need this pls









Gretchen made a paper cone to hold a gift for a friend. The paper cone was 11 inches high and had a radius of 4 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for π.


The volume is ___in^3

Answers

Answer:

184.2 in^3

Step-by-step explanation:

vol of cone=

[tex]\pi {r}^{2} \frac{h}{3} [/tex]

[tex]3.14 \times 16 \times \frac{11}{3} [/tex]

=184.2

I need help please thanks
find x when y = 18, if y = 9 when x = 8
ASAP PLEASE

Answers

so

y=9 -> y=18

       *2

x=8 -> x=16

       *2

so x = 16

Answer:

the only logical way solving this question is:

if y=9 then x=8

if y=18 then x should be 16

Step-by-step explanation:

I cant find any other way to solve

The sweet shoppe sells a half dozen cupcake for $16.50. The cupcake factory sells a dozen cupcake for $30.00. Jameska purchases two cupcake from each shop what is the different in the purchases

Answers

Answer:

1.50 is the answer

Step-by-step explanation:

yeah I had it on a question yw

Answer:

eggffdf

Step-by-step explanation:

sfdsffgfddfdkkhsdghskjgfhjgdfjhdgdhdsdfh

natalie budgets $150 for yoga training but doesn’t want to spend all of that money. She buys a yoga mat for $10 and spends $9 per day on yoga classes. Which inequality represents the number of day,d, that Natalie can take classes and stay under (less than) her budget?

Answers

Answer:

A

Step-by-step explanation:

Answer:

A) I hope I helped you ◉‿◉

Write an equation in the line in slope intercept form

Answers

Answer:

Y=2x-1

Step-by-step explanation:

In order to find the slope, its rise over run. So you would move from (0,-1) to the next point it intercepts, (1,1) and find it from there

As for the Y-Intercept, it would just be wherever the line connects with the Y axis, which happens to be (0,-1) or Negative 1.

I need help nowwwwww !!!!!????

Answers

you should just have to times the yards by three like the second one is 12

A gallon of gas costs an average of two dollars is Betty spends $144 a month on gas determine how many gallons of gas she uses a month

Answers

Answer:

she uses 72 gallons

Step-by-step explanation:

just do 144/2 and the answer is 72

if you wanna check your answer just do 72x2 and it equals 144

72 galloons because 144 divided by 2 which is the price per gallon then it is 72

Which expression is the coefficient of the n term -1

Answers

Answer:

C. -2n² - n + 5

Step-by-step explanation:

In expression C, the coefficient of the n term is -1;

  The expression in choice C is given as:

               -2n² - n + 5

The coefficient is the number before a variable;

  For n², the coefficient is -2

    for n, the coefficient is -1

anyone in flvs? we should find each other in live lessons lol

Answers

Answer:

nope

Step-by-step explanation:

Xis normally distributed with mean 1,000 and standard deviation 250. What is the probability that X lies between 800 and 1, 100?

Answers

Answer:

0.4435

Step-by-step explanation:

Given that :

X is normally distributed:

mean(m) = 1,000

standard deviation (s) = 250

probability that X lies between 800 and 1,100?

Using the relation :

X = 800

Zscore = (x - m) / s

Zscore = (800 - 1000) / 250

Zscore = - 200 / 250

Zscore = - 0.8

P(Z ≤ - 0.8) = 0.2119

X = 1100

Zscore = (x - m) / s

Zscore = (1100 - 1000) / 250

Zscore = 100 / 250

Zscore = 0.4

P(Z ≤ 0.4) = 0.6554

P(Z ≤ 0.4) - P(Z ≤ - 0.8)

0.6554 - 0.2119

= 0.4435

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