A group of friends wants to go to the amusement park. They have no more than $160 to spend on parking and admission. Parking is $8, and tickets cost $38 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:

8 + 38(x) ≤ 160

8 + 38x ≤ 160

38x ≤ 160 - 8

38x ≤ 152

x ≤ 152/38

x ≤ 4

The number of people that can go to the amusement park will be at most 4.

Hence the answer is 4.


Related Questions

From a point on the ground 12 ft. from the base of a flagpole, the angle of elevation of the top of the pole measures 53°. How tall is the flagpole

Answers

Answer:

4.75 feet

Step-by-step explanation:

Let the height of the flagpole be x

Sin 53 = x/12

x = 12 × Sin 53

x = 12 × 0.3959

x = 4.75 feet

Answer:

15.9

Step-by-step explanation:

The 12 ft is the adjacent side and you are trying to find the opposite side or the height of the flagpole. You use Tan. Lowercase x means multiply.

Tan 53 = X

             --------

               12

To get rid of the 12 multiply both sides of the equation by 12. so

Tan 53 x 12 = X/12 x 12

Tan 53 x 12= X

X= 15.9

The graph of f(x)=16^x is reflected about the x-axis and shifted upward 8 units. What is the equation of the new function, g(x) ?

Answers

Answer:

g(x) = -16^x + 8

Step-by-step explanation:

This reflection is accomplished by putting a negative sign in front of 16^x, and the upward translation by adding 8:

f(x)=16^x  becomes  g(x) = -16^x + 8

In a square of side length s, what is the length of a diagonal?

Answers

Answer:

[tex]s\sqrt{2}[/tex]

Step-by-step explanation:

This would be the diagonal because the formula for diagonals in a square would be [tex]a\sqrt{2}[/tex], where a is the side length.

Penny has some money. After
she pays $5 for her new kitten,
she will have $27. How much
money does she have now?

Answers

Answer:

32 dollars

Step-by-step explanation:

Her total os unknown. ? - 5 = 27. 27 + 5 = 32. 32 = ?

What is the slope-intercept form of the linear equation 2x - 8y = 32?

(Don't forget to simplify fractions if possible)

Answers

Answer:

y = 1/4x + 4

Step-by-step explanation:

2x - 8y = 32

-2x            -2x

-8y = -2x + 32

divide everything by -8

so that y becomes positive

answer : Y = 1/4x + 4

The slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.

Given is an equation of a line 2x - 8y = 32, we need to convert it into slope-intercept form of the linear equation.

The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.

To convert the equation 2x - 8y = 32 into slope-intercept form, we need to isolate y on one side of the equation.

Let's rearrange the given equation to solve for y:

2x - 8y = 32

Subtract 2x from both sides:

-8y = -2x + 32

Divide both sides by -8:

y = (2/8)x - 4

Simplifying further, we get:

y = (1/4)x - 4

So, the slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.

Learn more about linear equation click;

https://brainly.com/question/32634451

#SPJ6

solve pls brainliest

Answers

Answer:

1. yes

2.yes

3. no

4. no

5. no

need a step by step explanation pls help me

Answers

Answer:

This is my guess...

"Even today, the need for work is a common reason people move to urban areas."

Step-by-step explanation:

The article talks about technology and how it lead to bigger cities in the past. Because we are reading about prior years, there is no need to talk about the present day.

PLS HELP ME 20 points in total if it let me pick brainlist

Answers

Answer:

Its D because the 1=1 and 2=2 + Fish

Step-by-step explanation:

I think of a number. I add 7, divide by 6, add 1 then square it. I get 9. What was my number?

Answers

Answer:

5

Step-by-step explanation:

Start with 9. Then do the opposite operation starting from the end.

9

√9 = 3

3 - 1 = 2

2 × 6 = 12

12 - 7 = 5

Answer: 5

solve pls brainliest

Answers

Answer:

mixed no. 51/10

Improper fraction 5/1/10

Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.

Answers

7x + 5 = 180
x = 25
6x = 150
x + 5 = 30

Find x in terms of the other letters a( x + b ) = c( x + d )

Answers

Answer:

[tex]x=\frac{cd-ab}{a-c}[/tex]

Step-by-step explanation:

The question is worded in a complicated way. All it says is to solve the equation for x. Do this by isolating x on one side of the equation.

First step is to distribute the a and c on either side,

ax+ab=cx+cd

Subtract cx from both sides,

ax+ab-cx=cd

Next, subtract ab from both sides,

ax-cx=cd-ab

Then, factor out x from the left side,

x(a-c)=cd-ab

Finally, divide both sides by a-c,

[tex]x=\frac{cd-ab}{a-c}[/tex]

You have already traveled 25 miles. If you continue driving at the same speed, x miles per hour, for 5 more hours, you will travel y total miles. Which equation shows how x and y are related?


A. 5x + 25 = y B. 25 – y = 5x
C. 25x + 5 = y D. 25 – 5x = y

Answers

25 miles is the constant. x is the changing factor. x miles per hour for 5 hours is 5x. y is the total amount. This means that our formula is going to be A) 5x + 25 = y.

All of the other options are incorrect.

I hope this helps! :)

5. The function f(x) is shown in this graph.

The function g(x) = -3x - 1. Compare the slopes by writing "less than, "greater than," or "equal to" in the blank.

The slope of f(x) is ______ the slope of g(x).​

Answers

Answer:

The slope of f(x) is greater than the slope of g(x)

Here is:

https://www.insta gram.com/p/CPqiSD4nxoD/?utm_medium=copy_link

What is 2 1/4 divided by 4 2/3

Answers

Answer: (27/56)

Step-by-step explanation:

(2 1/4)/(4 2/3)

(9/4)/(14/3)      [Convert the integers on both sides to leave just fractions.

(9/4)*(3/14)      [Invert the denominator and multiply times the numerator]

(27/56)

[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex] \frac{27}{56} \\ \\ in \: \: alternate \: \: form \\ \\ 0.482142857[/tex]

Step-by-step explanation:

[tex]2 \frac{1}{4} \div 4 \frac{2}{3} [/tex]

convert the mixed number to an improper fraction

[tex] \frac{9}{4} \div \frac{14}{3} [/tex]

to divide by a fraction, multiply the reciprocal of that fraction

[tex] \frac{9}{4} \times \frac{3}{14} [/tex]

multiply the fraction

[tex] = \frac{27}{56} \\ \\ in \: alternate \: \: form \\ \\ 0.482142857[/tex]

hope it helps

[tex] \: \: \: \: \: \: \: \: \: [/tex]

PLEASE HELP ME ASAP TYSM

Answers

The sale price is 85% of the regular price.

-If regular price is 100% and there is a 15% discount, The sale price will be 85% of reg. price.

100-15=85

Answers:

- Sale price: $25.50

-85%of 100%

-Discount: 15%

-$4.50

You can check by the following:

30-25.5=4.5

30-4.5=25.5

4.5+25.5=30

25.5+4.5=30

100-15=85

100-85=15

85+15=100

15+85=100

(Brainliest?) ^^

Solve the inequality and enter your solution as an inequality.

8 + x>4​

Answers

if any concerns or questions on solution, just comment

An item is on sale for 30% What would the new cost be if the item was originally $275

Answers

Answer:

$192.5

Step-by-step explanation:

$275÷10=27.5

27.5×3=82.5

275-82.5=192.5

sales tax is 7% what is the amount of sales tax you would pay this bill​

Answers

% means per 100

so when figuring out percents it's good to use 100

so

on $100 7% would mean $7

on $50 7% would mean $3.5

in $200 7% would mean $14

Which statement is true regarding the functions in the graph?

F(6)=g(3)
F(3)=g(3)
F(3)=g(6)
F(6)=g(6)

Answers

the Answer is f(3) = g(3)

A similar image that is 10 times bigger write the rule

Answers

Answer:

× times 10

Step-by-step explanation:

that image times 10

find the degree of the following polynomial and determine whether it is a monomial, trinomial, or none of these.
2x+1

Answers

None, it is a binomial because it has 2 terms. The degree is 1.

Hope this helps friend~ ^^

find three rational numbers between -1/2 and 1/2​

Answers

Answer:

-1/4, 1/8 and 1/5.

Step-by-step explanation:

Dan earns £300 over the course of a five-day week. How much is that per day?

Answers

Answer:

£60 per day

Step-by-step explanation:

1 week = 5 days

Dan earned = £300

therefore 1 day = 300 ÷ 5 = £60 per day

300/5days
So 60 a day

help me on this please

Answers

Answer:

1: AOB is 180 degrees   2: AOF + FOG = 180 degrees 3: 60 + 90 + 30 + 180 4: x = 15

Step-by-step explanation:

x = 15

Add up 5x - 15 + 90 + 2x = 180 degrees

FOG = 90 degrees (right angle)

Combine like terms to get 7x + 75 = 180

subtract 75 on both sides to get 7x = 105

Divide both sides by 7 to isolate x to get x = 15

Substitute 15 for every x you see so 5(15) - 15 and 2(15)

5(15) - 15 = 60

2(15) = 30

Hope this works!!! :)

Population Growth Using 20th-century U.S. census data,

the population of Ohio can be modeled by

12.79

P(1) =

1 + 2.402,-0.0309

where P is the population in millions and r is the number of

years since April 1, 1900. Based on this model, when was the

population of Ohio 10 million?

Answers

The population of Ohio will be 10 million in the year 1970

The population growth of Ohio is represented by the function:

[tex]P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}[/tex]

P is the population in millions

t is the number of years since 1900

To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t

[tex]10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7[/tex]

t = 70 years (to the nearest whole number)

70 years after 1900 will be 1970

Therefore, the population of Ohio will be 10 million in the year 1970

Learn more here:  https://brainly.com/question/25504185

a boat is 180 in Long in private plane is 85% longer than the boat how long is the plane

Answers

Answer:

The length of the plane is 333 in.

Step-by-step explanation:

Plane length = (1.85)(Boat length)      

The 0.85 in (1.85) above represents the added length; the (1.85) represents the length of the boat PLUS 0.85 time the length of the boat.

Plane length is (1.85)(Boat length) = 1.85(180 in) = 333 in

The length of the plane is 333 in.

Please help me I don’t know how to solve this

|5z+1| >14

Answers

Solve for is z>13/5 (52/6 *62736) ignore that it wouldn’t let me answer

Express (5a3n)3 with positive exponents.

Answers

Answer:

45an

Step-by-step explanation:

1st. (5a × 3n) × 3

2nd. Multiply the monomials

3rd. after doing that you get 45an

1/4 (-16x +8) distributive property

Answers

[tex] - 4x + 2 \\ \\ [/tex]

Other Questions
One geographical feature that helped development in China was?A: Taklimakan Desert B: The Himalayan Mountains C: Yellow River D: plateaus Explain your answer what is the issues of the 1892 presidential election? band music help someone?? a meal cost 30$ before tax and tip.there is 7% sales tax. After tax, a 20% tip is addedwhat is the total after tax and tip what crisis happened between japan and china in 1931 that led to the league of nations intervening? can someone give me a paragraph on why women aren't becoming an endangered species. it is really important Please help me ASAP this has limited time olease Which of the following ordered pairs represent points that lie on a horizontal line?A.(2, 3), (5, 3)B.(2, 3), (2, 4)C.(2, 3), (2, 4)D.(2, 3), (5, 3) which muscle or muscle group is served by the femoral nerve? EASY QUESTION (PLEASE HELP THE INTERNET ISN'T SUCH A BIG HELP RIGHT NOW)Things microscopes have helped scientists discover about cells.(No links plz) You are running the Chrome Web browser and try to open a Web site when you are prompted for login credentials. What TCP/IP model layer is at work that requires you to logon to the Web site What is the difference between slavery in Ancient Egypt and the Americas (Carribbean, South & North America) 4) Find the GCF of the two numbers, and rewrite the sum of the two numbers using the distributive property. 18 + 42 learning task 5: look for a good sample of an argumentative text in english tabloids or broadsheets published here in the philipines. cut the said sample out and paste it in your notebook. examine the text, then answer the questions that follow. 1. what is the main argument presented in the sample you have chosen? how was it presented 2. what the cons and pros were presented? enumerate. 3. how did the writer conclude the text?. 4. what can you say about the use of language features like modals, evaluative words and transitional devices in the text? how did these elements contribute to the achievement of the writer's purpose? Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). how long does it take cream cheese to get to room temperature? A tennis player strikes the tennis ball with an initial velocity of 44.7 m/s horizontally. The ball is initially 1.28 m above the ground and 12.9 m from the 0.914 m tall net. Does the tennis ball make it over the net? Read the sentence.If you start to feel hungry, fix yourself a snack.This is an example of asimple sentence.compound sentence.complex sentence.compound-complex sentence. The area of the globe located east of the prime meridian is called the _____________ .A) Southern HemisphereB) Eastern HemisphereC) Northern Hemisphere Which of these describes a result of the Proclamation of 1763?Colonial militiamen were required to stop American Indian rebellionsO Paper money could not be printed in the colonies.O Contact between settlers and American Indians was forbiddenO Settlers were prohibited from settling west of the Appalachians