A group of friends wants to go to the amusement park. They have no more than $165
to spend on parking and admission. Parking is $5.25, and tickets cost $17.75 per
person, including tax. Write and solve an inequality which can be used to determine
X, the number of people who can go to the amusement park.
Inequality:

Answers

Answer 1

Answer:

17.75x + 5.25 [tex]\leq[/tex] 165

x [tex]\leq[/tex] 9

Step-by-step explanation:

The total cost can be represented by 17.75x + 5.25, where x is the number of people.

They can only spend a maximum of $165, so a less than or equal sign has to be used.

The inequality will be 17.75x + 5.25 [tex]\leq[/tex] 165

Now, solve for x:

17.75x + 5.25 [tex]\leq[/tex] 165

17.75x [tex]\leq[/tex] 159.75

x [tex]\leq[/tex] 9

So, x [tex]\leq[/tex] 9 is the answer, meaning 9 people or less can go to the amusement park.


Related Questions

SYSTEMS OF EQUATIONS- How many solutions?
Sy = 5x + 12
y = 5x + 18
O one solution
O no solution
O many solutions

Answers

Answer:

No solutions

Step-by-step explanation:

They have the same slope(5), meaning that they are parallel. since they are parallel they will never touch, thus there are no solutions

Find the factors of 200m2 - 800n2.

Answers

Answer:

Step-by-step explanation:

200m^2-800n^2=200(m^2-4n^2)

please find the area of this irregular shape

Answers

Answer: 10 sq units

Step-by-step explanation:

Area of triangle: 1/2 x b x h

1/2 x 2 x 2 = 2

Area of the left triangle is 2 sq units

1/2 x 4 x 2 = 4

Area of the right triangle is 4 sq units

Area of square: l x w

2 x 2 = 4

Area of square is 4 sq units

Area of figure: A of square + A of r tri. + A of left tri.

4 + 4 + 2 = 10

The area of the figure is 10 sq units.

1. The temperature outside is -5°F.
Name the temperature that would make
the sum of the two temperatures 0°F.
I
Your anstver
Question 2

Answers

Answer:

1

Step-by-step explanation:


Kimberly and Emily went to lunch at
their favorite restaurant. Kimberly has a
$5 off coupon to use for her purchase of
$30. Emily has a 10% off coupon to use
for her purchase of $25. What is the
difference between the total amount
Kimberly and Emily will pay individually?

Answers

Kim will pay $25 because 30-5=25

Emily will pay $22.50 because 25•.90=22.5

25-22.5=2.5

the difference is $2.50

what is 45% of 7/10:)

Answers

Answer: 45% of 7/10 is 0.315

Can somebody do this I’ll mark brainliest pls

Answers

Answer:

both are 75 degrees

Step-by-step explanation:

the angles add up to 180, as they are also vertical angles

Answer:

b=c since they are vertical angles, b=75 and c=75

Step-by-step explanation: The angle opposite of the given is the same (105) that gives you two measure. Add 105+105 to get 210. A set of vertical angles=360 degrees, take away 210 from 360 to get the measure of b+c. Divide that by two to get the measure of either b or c.

The 1985 Mexico City earthquake measured a magnitude 8.0 on the Richter scale. The Richter scale uses the function M (I) = log (StartFraction I Over I Subscript 0 Baseline EndFraction). Which equation relates the intensity of the 1985 earthquake, I, with the intensity of the threshold quake, Io?

A.) I = 810(Io)

B.) Io = 810(I)

C.) I = 108(Io)

D.) Io = 108(I)

Answers

Answer:

The correct option is C: I = 10⁸I₀.   

Step-by-step explanation:

The function of the Richter scale is:

[tex] M_{(I)} = log(\frac{I}{I_{0}}) [/tex]

Since the magnitude of the earthquake is 8.0, the relation between the intensity, I, with the intensity of the threshold quake, Io, is:

[tex] 8.0 = log(\frac{I}{I_{0}}) [/tex]

[tex] 10^{8} = \frac{I}{I_{0}} [/tex]

[tex] I = 10^{8}I_{0} [/tex]

Therefore, the correct option is C: I = 10⁸I₀.                

I hope it helps you!                    

The equation relates with the intensity of the 1985 earthquake, I, with the intensity of the threshold quake, [tex]I_0[/tex] is [tex]I = 10^8I_0[/tex].

Given that,

The 1985 Mexico City earthquake measured a magnitude of 8.0 on the Richter scale.

The Richter scale uses the function M (I) = log (Start Fraction I Over I Subscript 0 Baseline End Fraction).

We have to determine,

Which equation relates the intensity of the 1985 earthquake, I, with the intensity of the threshold quake, Io.

According to the question,

The function of the Richter scale is:

[tex]M_(_I_) =log[ \dfrac{I}{I_0}][/tex]

The magnitude of the earthquake is 8.0, the relation between the intensity, I, with the intensity of the threshold quake, [tex]I_0[/tex] is:

[tex]M_(_I_) =log[ \dfrac{I}{I_0}]\\\\8 =log[ \dfrac{I}{I_0}][/tex]

Taking log base 10 both sides,

[tex]10^8 = \dfrac{I}{I_0}\\\\I = 10^8I_0[/tex]

Hence, The equation relates with the intensity of the 1985 earthquake, I, with the intensity of the threshold quake, [tex]I_0[/tex] is [tex]I = 10^8I_0[/tex].

To know more about the Exponential function click the link given below.

https://brainly.com/question/15673235

Someone please do this!

Answers

Answer:

£518.42

Step-by-step explanation:

518.42 I think that’s right

I need help solving this practice question ​

Answers

Answer:

B

Step-by-step explanation:

SAS congruence means that an the concruent angle is found between the two congruent sides. To prove this, IJ and ST must be congruent (so that the angle is between the sides)

The ratio of boys to girls in Ella’s grade is 3 to 4. The ratio of boys to girls in Minh’s grade is 4 to 5. Each grade has a total of 20 girls.

How many boys are in each grade?

Answers

Answer:

12 boys

Step-by-step explanation:

I believe the answer is 12 boys. I hope this helps!

What is the value of y in the solution to the following system of equations?
2x + y = -4
5x + 3y = -6

Answers

y= -32

Step-by-step explanation:

step 1: from the first equation you will make X the subject of formula, the equation then becomes;

X= 4-y

2

step 2: substitute X in the second equation, the equation then becomes 5 * [4-y] + 3y = -6

[ 2]

step 3: find the LCM and then cross multiply; 20-5y+6y = -6

2

20+y = -12

y= -12-20

y= -32

In the diagram the length of segment VS is 39 units what is the length of segment TV

Answers

Answer:

33

Step-by-step explanation:

Answer: B. 38

Step-by-step explanation:

Got it right, Edge 2022.

Plzzzzzz I need help

Answers

Answer:

going in the order top to bottom

i)

2

2

2

2 and 2

ii)

2 and 2

2

2

2 and 2

iii)

2

2

2 and 2

2 and 2

Step-by-step explanation:

you have to find out what number you times to get the number they have given you (eg: you have to get 4 and they have given you the number 2, 2 times what makes 4? the answer is 2)

For what value of p would the statement 5p = 30 be true

Answers

the value would be 6

Answer:

p = 6 is the answer

Step-by-step explanation:

need help asp pls The 8 students in Mrs. Howard's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:
14, 11, 16, 10, 6, 5, 5, 7

Answers

Answer:

what's the question thougu

The population of a city is 51,000 and is decreasing at a rate of 1.75% per year. Use an exponential function to find the expected population in 5 years. Round to the nearest whole number.

Answers

Answer:

46,691

Step-by-step explanation:

Given that:

Initial population, P = 51000

Decreasing rate = 1.75% = 0.0175

Time, t = 5 years

Using the relation :

A (t) = Po * ( 1 - r)^t

A(t) population after t years

Po = Initial population figure

r = rate of decrease

A(t) = 51000 * (1 - 0.0175)^5

A(t) = 51000 * (0.9825)^5

A(t) = 51000 * 0.91550937355400390625

A(t) = 46690.9780

Hence, population after 5 years will be : 46,691

5x^2-12=88 solve algebraically

Answers

Answer:

x = 2sqrt(5)   or   x = -2sqrt(5)

Step-by-step explanation:

5x^2 - 12 = 88

5x^2 = 100

x^2 = 20

x = +/- sqrt(20)

x = 2sqrt(5)   or   x = -2sqrt(5)

Answer:

[tex]x_1=-2\sqrt{5},\ x_2=2\sqrt{5}[/tex]

Step-by-step explanation:

Given equation: [tex]5x^2-12=88[/tex]

Step 1: Add 12 to both sides.

[tex]\\\implies 5x^2-12+12=88+12\\\\\implies 5x^2=100[/tex]

Step 2: Divide both sides by 5

[tex]\\\implies\dfrac{5x^2}{5}=\dfrac{100}{5}\\\\\implies x^2=20[/tex]

Step 3: Take the square root of both sides (positive and negative roots).

[tex]\\\implies \sqrt{x^2}=\sqrt{20}\\\\\implies x=\pm\ \sqrt{20}[/tex]

Step 4: Simplify.

[tex]\\\implies x=\pm\ \sqrt{4\times5}\\\\\implies x=\pm\ 2\sqrt{5}[/tex]

Step 5: Separate into two cases.

[tex]\implies x_1=-2\sqrt{5},\ x_2=2\sqrt{5}[/tex]

Another example:

https://brainly.com/question/20778317

can I please have some help​

Answers

Step-by-step explanation:

6.-3

8.-36

10.11

make it braintliest please

Answer:

6) q = -3

8) d = -4

10) y = 10

Step-by-step explanation:

6) -7q = 21

divide by -7 on both sides

q = -3

8) -1/3d = 12

divide both sides by -1/3

d = -4

10) -88 = -8y

divide both sides by -8

10 = y

or

y = 10

Plz help it due In 20 mins

Answers

Answer:

Slope of line A= -1/3

B=-1

C= -5/4

Step-by-step explanation:

Use: slope m= y-y1/ x-x1

please help find them
1 AB

2 BC​

Answers

Answer:

AB ≈ 15.7 cm, BC ≈ 18.7 cm

Step-by-step explanation:

(1)

Using the Cosine rule in Δ ABD

AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )

       = 153.76 + 272.25 - (409.2 cos64° )

       = 426.01 - 179.38

       = 246.63 ( take the square root of both sides )

AB = [tex]\sqrt{246.63}[/tex] ≈ 15.7 cm ( to 1 dec. place )

(2)

Calculate ∠ BCD in Δ BCD

∠ BCD = 180° - (53 +  95)° ← angle sum in triangle

∠ BCD = 180° - 148° = 32°

Using the Sine rule in Δ BCD

[tex]\frac{BC}{sin53}[/tex] = [tex]\frac{BD}{sin32}[/tex] = [tex]\frac{12.4}{sin32}[/tex] ( cross- multiply )

BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )

BC = [tex]\frac{12.4sin53}{sin32}[/tex] ≈ 18.7 cm ( to 1 dec. place )

         

Can some one really help me please!!!! :(((

Answers

Answer:

for the first on its a=24 and for the second its a= 48

Step-by-step explanation:

for the first one you have to find the length which is 8 and then you find the width which is 3 then you multiply that to get 24

for the second one you find the base which is the strait line which is 8 then you find the height which is 6 then you multiply it to get 48 i hopes this helped!

mark my qustions brainly pleaseeeeeeeeeeeeeeeeeeeee

Answers

Answer:

what do you mean

Step-by-step explanation:

ok...................

Please Help! #17, 18, 19

Answers

Answer: 17: No, the triangles are not similar.

I'm sorry, that is the best I can do, I forgot all about triangles ;-;

Step-by-step explanation:

Answer number 2 pls pls pls pls

Answers

Answer:

The equation would be 10+55h

Step-by-step explanation:

You have to add 10 to the equation because that is the transportation fee

Then it is 55 dollars per hour and let h represent the number of hours

The full equation would be 10+55h

10 + 55h where h represents the total amount of hours, 55 represents the hourly fee, and 10 represents the fixed transportation fee.

Use the figure at the right to answer questions 9-12.

Answers

Answer:

9.) 5x - 18 = 4x + 7 10.) x = 25 11.) m∠MNQ = 107° 12.) m∠MNR = 73°

Step-by-step explanation:

9. & 10.)

∠MNQ and ∠RNP are vertical angles meaning they are equivalent to each other. Knowing that, we can set their values equal to each other and solve for x.

5x - 18 = 4x + 7 (Given)

x - 18 = 7 (Subtract 4x on both sides)

x = 25 (Add 18 on both sides)

Therefore, we know the equation is 5x - 18 = 4x + 7 and we know that x = 25.

Now we can solve for the angles.

11.)

5(25) - 18

125 - 18 = 107

Therefore, m∠MNQ = 107°.

12.)

∠MNR and ∠MNQ are supplementary angles meaning their angles will add up to 180°

∠MNR + 107 = 180

∠MNR = 73

Therefore, m∠MNR = 73°.

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

Which expression has the same value as the one below?
38 + (-18)

Answers

Answer:

D

Step-by-step explanation:

38+(-18) can be changed to 38-18 and the answer will still be the same

Shasta is going to her best friend's house for dinner. Her mother says she needs to be back in 2 and a half hours. If she leaves at 5:00 pm, what time will she be back?

Answers

Answer:

It would be 7:30 pm

Step-by-step explanation:

What is the measure of angle F in degrees?

Answers

it has to be around 90°, if you want something exact use a protractor :) or use something with a sharp edge to see if it’s 90° hope this helps :)

if anyone answer this question correctly will get 100 points and a marked brainllest at 1:02 just add me and answer below and its yours.

Answers

Answer:

okk thanks for free points

.............

Answer:

1. -2

2. -3

3.

a. 155x+375 >= 900

b. x>=3.38709677. or technically >=4 because you get payed at the end of a week?

Step-by-step explanation:

1. (y-y)/)x-x)

2. same thing

3 a. 155 is the rate, 375 is the starting value

b. subtract 375, divide by 155

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