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 2x + 3 resembles an equation, but the equals sign has been replaced by an arrowhead.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

I’ll give you brainly thingy just help me

Answers

Answer:

4

Step-by-step explanation:

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

Write an equation in slope-intercept form of the line that passes through (4, 6) and (9,2)

Answers

Answer:

m=0

b=-9

Step-by-step explanation:

Slope is equal to the change in

y

over the change in

x

, or rise over run.

m

=

change in y

change in x

The change in

x

is equal to the difference in x-coordinates (also called run), and the change in

y

is equal to the difference in y-coordinates (also called rise).

m

=

y

2

y

1

x

2

x

1

Substitute in the values of

x

and

y

into the equation to find the slope.

m

=

9

(

9

)

2

(

4

)

The equation of the line is equal to y=-5x/4 +c

What is the slope-intercept form of a line?

The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line

Given here: The given line passes through (4,6) and (9,2)

We know the slope intercept form is given by

y=mx+c

putting (4,6)  in the equation we get

6=4m+c

Again substituting (9,2) in the equation we get

2=9m+c

Thus solving this two equations we get the value of m=-5/4 and c=11

Hence, The equation of the line is equal to y=-5x/4 +c

Learn more about the slope intercept form here:

https://brainly.com/question/29146348

#SPJ2

use the graph if y=f(x) below to find f(4)

Answers

Answer:

there is no graph. can you edit the question?

Answer:

Ok:

Step-by-step explanation:

Welp, I don't see the graph but I can tell you what to do. You find x = 4, and draw a vertical line up. Once your line reaches the graph, see what the y value is. If the question is nice, you should get an exact integer number

The Arizona Department of Transportation wishes to survey state residents to determine what proportion of the population would like to increase statewide highway speed to 75 from 65 mph. At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.05 of the true proportion

Answers

Answer:

The answer is "6.635776".

Step-by-step explanation:

If the proportion estimation is not given, then the approximate is true. So, it is in the top condition, which referring its overall error margin that is equal to 0.5.  

Therefore the margin of error=0.05   With z=2.576  

[tex]\to 0.05=2.576 \times \sqrt{(0.05 \times \frac{0.05}{N})}\\\\\to 0.05=2.576 \times \sqrt{( \frac{0.0025}{N})}\\\\\to \sqrt{N}= \frac{2.576 \times 0.05}{0.05}\\\\\to \sqrt{N}= 2.576[/tex]

square the above equation:

[tex]\to (N)^2= (2.576)^2\\\\\to N^2= 6.635776\\\\[/tex]

So the number of required residents=6.635776

What is the quotient of 8,595 ÷ 247/ tell me the remainder not 358.125000


Answers

Answer:

34 R 197

Step-by-step explanation:

Complex my way

Calendar

Mr. Torrence goes to La Jalpita to buy rolled ice cream. An ice cream with no toppings is $2.50 and

every topping is priced at $0.29 each. Show your work and justify your answers.

Files

a) Write an algebraic equation to find the total cost (C) for ice cream depending on (t), the number of

toppings. Label the variables.

...

Equation: C=0.295 +2.50

b) Using the equation you wrote, calculate (algebraically) how many toppings Mr. Torrence can buy if

he wants to spend only $4.00 on it?

func

Apps

al

1

Answer: Mr. Torrence can get

toppings if he only has $4.00 to spend.

Help

tan

Page 1 of 2

329 words

English (U.S.)

100% +

Give Feedback to Microsoft

Answers

Answer:

(a) C = 0.29t + 2.50

(b) 5

Step-by-step explanation:

The variables are defined as follows:

t = the number of  toppings

C = total cost for ice cream

It is provided that:

An ice cream with no toppings is $2.50.Every topping is priced at $0.29 each.

(a)

The algebraic equation to find the total cost for ice cream depending on the number of  toppings is:

C = 0.29t + 2.50

(b)

Compute the number of toppings Mr. Torrance can buy if  he wants to spend only $4.00 on it as follows:

C = 0.29t + 2.50

4.00 = 0.29t + 2.50

0.29t = 4.00 - 2.50

0.29t = 1.50

t = 5.1724

t ≈ 5

Thus, Mr. Torrance can buy 5 toppings.

The Sweet Shoppe sells a half-dozen cupcakes for $16.50. The Cupcake Factory sells a dozen cupcakes for $30.00. Jameska purchases two cupcakes from each shop. What is the difference in the purchases?

The difference in the purchases is $
.

Answers

Answer:

$1.50

Step-by-step explanation:

The cost of half of dozen of cupcakes at Sweet Shoppe = $16.50.

The cost of a dozen cupcakes at Cupcake factory = $30.00. Therefore the  cost of half a dozen cupcakes at Cupcake factory = $30.00 / 2 = $15.00

The difference in purchases =  cost of half a dozen cupcakes at Sweet Shoppe - cost of half of dozen of cupcakes at cupcake factory

The difference in purchases = $16.50 - $15.00 = $1.50

This means that their is a difference of $1.50 for half a dozen cupcakes between the Sweet Shoppe and cupcake factory.

Find the product of (x + 3)(x - 3)

Answers

Answer:

= x ^2-9 answer.,...,...,..

Find the average height of the building shown in the table hint to find the average of the values and divide the number of value​

Answers

In order to find the average, you need to sum all values and the result divided by the number of values.

For example, let's say that you have these values: 2, 3, 4, 5 ,5 ,6 ,7.

The first

The second step is divide this result by the number of values:  

Hence, the average for this example is 4.6.

Simplify (-4/5)divided by (3/-2). -8/15 -6/5 6/5 8/15

Answers

Answer:

8/15

Step-by-step explanation:

-4/5 ÷ -3/2

Copy dot flip

-4/5 * -2/3

Multiply the numerators

8

Multiply the denominators

15

Put the numerator over the denominator

8/15

Answer: 8/15

Step-by-step explanation: (-4/5)divided by (3/-2) is 8/15.

what is 8 times 0.9 equal

Answers

Answer:

7.2

Step-by-step explanation:

A pattern is describe by an= 3n -5 what are the first four ters of the sequence?

Answers

9514 1404 393

Answer:

  -2, 1, 4, 7

Step-by-step explanation:

Start with n=1. Put the value where n is in the expression and do the arithmetic.

  a1 = 3·1 -5 = -2

  a2 = 3·2 -5 = 1

  a3 = 3·3 -5 = 4

  a4 = 3·4 -5 = 7

__

You may notice that each term is 3 more than the previous one.

Solve for b: b / 2-5 = 13 *
Your answer

Answers

[tex]\text {Hello! Let's Solve this Equation!}[/tex]

[tex]\text {\underline {The First Step is to Simplify the Equation}}[/tex]

[tex]\text {b=1 so b/2 becomes 1/2}[/tex]

[tex]\text {Your New Problem Is: 1/2b-5=13}[/tex]

[tex]\text {\underline {The Second Step is to Add 5}}[/tex]

[tex]\text {1/2b-5+5=13+5}[/tex]

[tex]\text {Your New Problem Is: 1/2b=18}[/tex]

[tex]\text {\underline {The Final Step is to Multiply 2}}[/tex]

[tex]\text {2*1/2b}=2*18}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\fbox {b=36}[/tex]

[tex]\text {Best of Luck!}[/tex]

Ms. Lynch needs to ship 89 boxes. 47 boxes weigh 150 pounds each. Each of the other boxes weighs 210 pounds. Mia says that all 89 boxes can fit into one container. She reasons that 47x150 is less than 7,500 and 42x210 is a little more than 8,000, so the sum of their weights should be less than 15,000. Do you agree? Explain your reasoning.

Answers

Answer:

No . Mia states that the sum of the weights should be less than 15,000 .

Step-by-step explanation:

42x150=7050

   

42x210=8820

7050 + 8820 = 15,870 which is not less than 15,000

What is the value of the number 8 in 4,850,23
?

Answers

Answer:

800,000.

Step-by-step explanation:

The 8 is in the hundred thousands place.

What is the opposite of -2
A: -1/2
B:0
C:2

Answers

c is the opposite of -2 on a number line

Answer: C

The opposite value of -2 is 2 because:

Remove the minus sign from the number 2. Take it and it is your answer.

Hope this answer helps!

Find two numbers who’s product is 132 and whose sum is 23

Answers

Answer : The two numbers are 11 and 12.

Suppose that Elsa and Frank determine confidence intervals based on the same sample proportion and sample size. Elsa uses a larger confidence level than Frank. How will midpoint and width of confidence intervals compare

Answers

Answer:

elsa's interval width will be greater than that of frank

Step-by-step explanation:

first of all we are told that both Elsa and Frank have the same sample proportion so their midpoint is also going to be the same.

now as the confidence level goes higher, so also would the margin of error increase. then the width of the confidence interval would rise so it can be more confident.

from this question elsa has a larger confidence level therefore her intervals width will be greater than franks own.

The ratio of blue paint to yellow paint in a certain color of green paint is 2.1. A painter wants a total of 14 quarts of green paint Blue paint is

$16.64 per quart and $34.96 per gallon. Buying the least amount needed, how much will it cost to purchase the blue paint in the most economic

way?

Answers

Answer:

The blue paint with a unit price of [tex]34.96\,\frac{USD}{gal}[/tex] is the most economic option for the painter. (Cost: [tex]x = 8.74\,\frac{USD}{qt}[/tex])

Step-by-step explanation:

Both gallon and quart are capacity units, we must keep in mind that a gallon equals 4 quarts. We need to convert each price in the same units. In this case, we decided to use US dollars per quart as our reference unit. Hence:

Blue paint 1 ([tex]16.64\,\frac{USD}{qt}[/tex])

No unit conversions are needed.

Blue paint 2 ([tex]34.96\,\frac{USD}{gal}[/tex])

We proceed to the following conversion:

[tex]x = 34.96\,\frac{USD}{gal}\times \frac{1\,gal}{4\,qt}[/tex]

[tex]x = 8.74\,\frac{USD}{qt}[/tex]

The blue paint with a unit price of [tex]34.96\,\frac{USD}{gal}[/tex] is the most economic option for the painter. (Cost: [tex]x = 8.74\,\frac{USD}{qt}[/tex])

Which of the following words is defined as “the study of hearing”? audiology audiologist audiometer audio

Answers

Answer:

audiology

Step-by-step explanation:

Because.

Answer:

A is correct

Step-by-step explanation:

I hope you find it in your heart to give me brainliest

Which situation could be represented by the equation - 30+30 = 0?
Rita bought a hat for $30. She then bought some headphones for $30.
Donna loaned $30 to her brother. He then paid her back $30 the next day.
Wen drove 30 miles to the library. She then drove 30 more miles to her college.
Mika filled a tank with 30 gallons of water. She then filled the tank with 30 more gallons.
O​

Answers

Answer:

"Donna loaned $30 to her brother. He then paid her back $30 the next day" is the correct situation

Help!Asap!
The Surface areas of the two solids shown above are equal
A.true
B.false

Answers

Answer:

False

Step-by-step explanation:

For the one on the left I got 234 and the one on the right I got 248

I think the answer is false:)

The side lenghts of Triangle B are all 5 more than the side lengths of Triangle A.Can Triangle B be a Scaled copy of Triangle A? Yes Or No

Answers

Answer:

No

Step-by-step explanation:

Scaling is the procedure for either increasing or decreasing the size of a given object. While a scale is the representative fraction used for the purpose.

scale = [tex]\frac{length on drawing}{original length}[/tex]

For triangle B to be a scaled copy of triangle A,

scale = [tex]\frac{5}{1}[/tex]

         = 5:1

This is an enlarged scale, therefore each side of triangle A should be multiplied by 5 not increased by 5.

Triangle B is not a scaled copy of triangle A.

A right triangle has one 40° angle. Find the other two angles.
° (smaller value)
° (larger value)

Answers

a triangle = 180°

one angle = 90°
second angle = 40°
third angle = 50°

y=-2x-1 when x=-7 please shows steps thanks

Answers

Answer:

Y = -15

Step-by-step explanation:

When you understand how to do it, it's easy!

since x = -7, replace x with -7...

y = 2(-7) - 1

then...multiply...

y = -14 - 1

then finish...

y = -15

wooHoo! Pls Brainliest! Would help a lot! ;)

Simplify: Negative two and one-third minus negative ten and one-sixth Negative twelve and one-half Twelve and one-half Seven and five-sixths Negative seven and five-sixths

Answers

Answer: Seven and five-sixths

Step-by-step explanation:

Simplify : Negative two and one-third minus negative ten and one-sixth

(-2 1/3) - (-10 1/6)

(-7/3) - (-61/6)

Take L. C. M of 3 and 6 =. 6

(-14) - (-61) / 6

(-14 + 61) / 6

47/ 6

= 7 5/6 = Seven and five-sixths

Answer:

Answer: Seven and five-sixths

Step-by-step explanation:

Simplify : Negative two and one-third minus negative ten and one-sixth

(-2 1/3) - (-10 1/6)

(-7/3) - (-61/6)

Take L. C. M of 3 and 6 =. 6

(-14) - (-61) / 6

(-14 + 61) / 6

47/ 6

= 7 5/6 = Seven and five-sixths

Step-by-step explanation:

Organic hot dogs at the grocery store cost $2.00 each. At a major league baseball game, an organic hot dog costs $6.50. How much does the baseball field mark up its organic hot dogs?

Answers

Answer: 4.50

Step-by-step explanation:

6.50 minus 2.00 is 4.50

Help me with this question pleasee

Answers

Answer:

√23 = a

Step-by-step explanation:

/ab/²= /ac/²+/bc/² (Pythagoras theorem)

12² = a² +11²

144 = a² + 121

144 - 121 = a²

23 = a²

√23 = a

Are these triangles congruent? If so, name the triangle congruence method.

Answers

Answer:

The answer you chose is correct

Step-by-step explanation:

Other Questions
the improper fraction 9/8 equals what mixed number Andrew Jackson is a well-known Patriot who helped establish Florida as its first military governor. Select the facts below that you know to be true about Jackson:Was elected as the seventh president of the United StatesPressured Britain and Spain to give up their claims to FloridaScarred by a British officer while being held prisonerFought in the Civil War A right triangle has one 40 angle. Find the other two angles. (smaller value) (larger value) The side lenghts of Triangle B are all 5 more than the side lengths of Triangle A.Can Triangle B be a Scaled copy of Triangle A? Yes Or No each of my nucleotides includes a phosphate sugar and base am i dna or rna In international trade, an exchange rate is __________.A.a way to record a nations imports and exportsB.an agreement between nations to reduce trade barriersC.a chart for keeping track of prices on a stock exchangeD.a number that is used to show the value of one currency compared to anothe Social distancing Compound SentenceGive me an answer to the social distancing compound sentence:( please rn Which is an example of risky behavior that could lead to injury?A. allowing young children to play with small toysB. pulling over while driving to send a text messageC. meeting a friend from school at a restaurant What is the value of the number 8 in 4,850,23? Which of the following is an effective use of summary of this passage? What happens when an egg is fried? A. The egg changes from a liquid to a solid as it reaches its freezing point. B. Air combines with the egg, forming a mixture. C. Heat causes the substances in the egg to change into new substances. D. The egg dissolves in the oil, forming a thick solution. A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles. Withoutlooking, what is the probability that Fiona pulls out a marble that is not white? what caused disputes between the thirteen american states during and after the revolutionary war?A) Land claims made by certain states on the western territoriesB) congress's decision to raise high taxesC) The southern states' proposal to form a separate nation Is it better to be feared or loved? Why? Can you think of an example in your life where this idea was applicable? On average, indoor cats live to 16 years old with a standard deviation of 2.5 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N([],[])b. Find the probability that an indoor cat dies when it is between 17.2 and 19.6 years old.[] c. The middle 20% of indoor cats' age of death lies between what two numbers? Low: [] years High: [] years Given the function f (x) = 8x2 - 14x 10, find f -2). Simplify (-4/5)divided by (3/-2). -8/15 -6/5 6/5 8/15 Is the following equation balanced or unbalanced?AlBr + 3K 3KBr + Al Complete the following sentence.In order for an engineer to diagram a model to the correct. .....?use of a straightedge is essential to assist with measurement and drawingstraight lines Which of the following is true of Pythia? A: She helped the Greeks win the Battle of Marathon. B: She was a traitor who secretly worked with the Persians. C: Her advice was not taken seriously by the Greek soldiers. D: Her advice was valuable, although not always clear.