A group of friends wants to go to the amusement park. They have no more than $110 to spend on parking and admission. Parking is $17.75, and tickets cost $20.50 per person, including tax. Write and solve an inequality that can be used to determine xx, the number of people who can go to the amusement park.

Answers

Answer 1

Answer:

Inequality: 20.50x + $17.75 ≤ $110

Solve: 4 people can go to the amusement park

Explaination:

Inequality:

$110 = Amount of money they have

$17.75 = Parking Cost

$20.50 = Cost of tickets per person

Because they only have $110, they can't spend more than that amount.

Therefore, the inequality would be the ticket cost per person, times the amount of people being payed for (aka x) plus the parking cost is less than or equal to the amount of money they have to spend. Hence the inequality:

20.50x + $17.75 ≤ $110

Solve:

$110 - $17.75 = $92.25 (92.25 is how much is left for tickets after subtracting the parking cost)

$20.50 x 4 = $82 (4 tickets can be bought for the price of $20.50)

$92.25 - $82 = $10.25 (10.25 isn't enough for another person)

So, the solution to the inequality is 4 people can go to the amusement park.


Related Questions

What value of x makes the equation -5x - (-7 - 4x) = -2(3x - 4) tru

Answers

Answer: 1/10 or 0.1

Step-by-step explanation:

    -(-7 - 4x) = -2(3x - 4)

      7 + 4x = -6x + 8

   * subtract 7 from both sides

            4x = -6x + 1

   * Add 6x to both sides

           10 x = 1

   * Divide both sides by 10

             x = 1/10  or 0.10

Well, you’re going to start by simplifying each side of the equation.

This step makes sure that you know to distribute the negative.

-5x + [-(-7-4x)] = -2(3x-4)

Continue to simplify. Start by distributing across the parentheses.

-5x+(7+4x)= -6x+8
-5x+4x+7= -6x+8
-x+7=-6x+8

Once you can’t simplify either side any more, you try and isolate the variable onto one side.

-x+7=-6x+8
+x. +x
________
7=-5x+8

Then isolate the constants into one side.

7=-5x+8
-8. -8
______
-1=-5x

Then make sure you have the variable being multiplied only once.

-1= -5x
—. —
-5. -5

0.2=x

And then move your variable to the left.

x=0.2

The value of x that makes the equation true is 0.2


I hope that helps!!







y apples at 0.35 each

Answers

Answer:

I don't understand your question! I would love to help, but I don't understand!

Step-by-step explanation:

A lobster weight 42 1/5kg A crab weight 41/5kg less than lobster what is their combined weight​

Answers

Crab Weight

= 42 1/5 - 41/5

= 211/5 - 41/5

= 170/5

Combined weight

= 170/5 + 211/5

= 381/5

= 76 1/5

#LearnWithEXO

What is the smallest multiple of 18 of the form 2A945B, where A and B are digits?

Answers

Answer:

[tex]219456[/tex]

Step-by-step explanation:

It must end in [tex]0,2,4,6,8[/tex] (divisible by 2 rule) and the digits must sum to a multiple of 9(divisible by 9 rule).

The digit sum is [tex]2+A+9+4+5+B=20+A+B[/tex].

We want to make [tex]A[/tex] as low as possible because it's a higher digit than [tex]B[/tex].

If [tex]A[/tex] is as low as possible, we have that the sum is [tex]20+0+7=27[/tex]. Uh-oh. [tex]B[/tex] has to be even! So [tex]A=0[/tex] doesn't work.

If [tex]A=1[/tex], we have that the sum is [tex]20+1+6=27[/tex]. Yay!

So, the answer is [tex]\boxed{219456}[/tex]

PLEASE HELP ASAP WILL GIVE BRAINLYEST!!

Answers

It's on the picture

It's on the picture

please help, lots of points!!!

Answers

v₁ = at + v₀

Step-by-step explanation:

[tex]\begin{aligned}\tt a&=\tt\frac{v_1 - v_0}{t}\\\tt a\cdot t&=\tt v_1 - v_0\\\tt a \cdot t +v_0&=\tt v_1\end{aligned}[/tex]

Students were asked which night they plan
going to the school festival. The results of the survey
are shown in the table. If 18% of the students did not
go on Friday, and 15% of the students did not go on
Saturday, how many more students went on Friday
than on Saturday?
Pls help

Answers

Answer:3% went on Friday than on Saturday

Step-by-step explanation:

Which is the equation of the function in the graph?
Help me plz

Answers

It’s the last one, I put all the equations in Desmos and the last equation showed the graph in the picture

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp

Answers

Answer:

74

Step-by-step explanation:

87-13=74

Answer:

Sydeny is 50 years old

A rainwater collection system collects water into a holding tank. For every 1 cm of rainfall on a 100 m² roof, 1,000 L of water can be colleA. How many liters of water can be crainfall on a 120 m² roof?
Part B. How many centimeters of rainfall are needed to fill a 40,000 L holding tank from a 120 m² roof?

Answers

Answer:

A: 3 0 0

B: 150 ;-;

Step-by-step explanation:

Billy was asked to solve 5(x + 3) = 2x + 6 and explain his steps. Fill in the missing step.

Answers

Answer:

Subtract 15 from both sides

Step-by-step explanation:

if you wrote the number 0.0009763 as a single digit times a power of ten, would the exponent be positive or negative? explain.

Answers

Answer:

10^n   means to multiply by 10

10^-n means to divide by 10 or multiply by 1 / 10

So .0009763 means 9.763 / 10000 = 9.763 * 10-4

can also write as 9.763E-4

If multiplying then the power of 10 would have to be negative

Can somebody help me please

Answers

1500 dollars I believe

What is the completely factored form of this polynomial?
18x3 – 120x2 - 42x
Write the greatest common factor (GCF) first, and write all factors in standard form.

Answers

Answer:

6x(3x + 1)(x - 7)

Step-by-step explanation:

First look for the greatest common factor of the 3 terms.

The GCF is 6x, so

18x^3 – 120x^2 – 42x

= 6x(3x^2 - 20x - 7)

Now we look to factor the quadratic expression in the parentheses:

The first and last coefficients are multiplied

3 * -7 = -21.

We look for 2 numbers whose product is -21 and whose sum is -20:

They are -21 and + 1 , so we write:

6x(3x^2 - 21x + 1x - 7)

= 6x [ (3x(x - 7) + 1(x - 7)]    Note that x - 7 is common, so:

= 6x(3x + 1)(x - 7)  Answer

Answer:

Step-by-step explanation:

Thomas and Silvia are brother and sister. Thomas is 12 years older than Silvia and their combined ages are 44. How old are Thomas and Silvia?


show work please

Answers

44 divided by 2 is 22, then subtract 12 from that, which is 10.

so in conclusion, thomas is 22 and silvia is 10

but that answer is wrong.

44 minus 12 is 32, now divide 32 by 2 and you get 16.

so this would mean that thomas is 32, and silvia is 16, but that doesn’t add up either.

Can someone help me do this

Answers

The answer is Angle T = angle N

A city planner wants to build a road parallel to 2nd Ave . What is the slope of the new road?

Answers

Answer:

0

Step-by-step explanation:

By inspection or finding points, we see that 2nd ave is perfectly flat, or in other words, has slope of 0.

If line 1 is parallel to line 2, it means their slopes are the same.

So, the new road parallel to 2nd ave has a slope of [tex]\boxed{0}[/tex].

Graph the line that passes through the points (-5, 3) and (−1,−1) and determine the equation of the line.

Answers

A line can be drawn by joining the plot of the two given points

Please find attached the graph of the line created with MS ExcelThe equation of the line is y = -x - 2

Reason:

Given points on the line are (-5, 3) and (-1, -1)

From the given points, the graph of the line can be plotted with MS Excel

The slope, m, of the line is given as follows

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, we have;

[tex]Slope, \, m =\dfrac{-1 - 3}{-1 - (-5)} = \dfrac{-4}{4} = -1[/tex]

The equation of the line in point and slope form is therefore;

y - 3 = -1·(x - (-5) = -x - 5

In slope and intercept form, we have;

y = -x - 5 + 3 = -x - 2

The equation of the line in  slope and intercept form is y = -x - 2

Learn more here:

https://brainly.com/question/2088114

help me!!! - giving brainly if correct AND WORK IS SHOWN
I'd prefer if you answer both questions.​

Answers

Answer:

2nd answer, and 5 hours

Step-by-step explanation:

Section 1

The answer is the 2nd one down.  The tickets are selling at a rate of

floor tickets: 100/h; stand tickets:  75/h

Since the stand tickets were selling 150 in 2 hours, only 75 were sold per hour.

Section 2

There are only 375 stand tickets left to sell.

Every 2 hours 150 are sold or you can also say 75 per hour.

If you're selling 75 per hour, you would divide 375 by 75 which would give you 5 hours to sell out the stands tickets.

375/75 = 5 hours

point Find the length of segment CD with C(2,3) and D (-3, 15​

Answers

Step-by-step explanation:

so, if the text is correct, the 2 points are

(2, 3) and (-3, 15).

the length of the line segment is the distance between both points.

did this we use Pythagoras for right-angled triangles.

c² = a² + b²

c is the Hypotenuse and the distance between both points. a and b are the legs (enclosing the 90 degree angle), which are simply the differences of the x and the y coordinates.

so,

distance² = (2 - -3)² + (3 - 15)² = 5² + (-12)² = 25 + 144 = 169

distance = sqrt(169) = 13 = length of line segment

please help me i am so confused

Answers

The correct answer is D :)
I got B. (i hope it’s correct)

2x² + y = 6
Pls help

Answers

Answer:

Step-by-step explanation:

y=-2x²+6

x=0,y=6

x=1,y=-2(1)²+6=-2+6=4

x=-1,y=-2(-1)²+6=-2+6=4

x=2,y=-2(2)²+6=-8+6=-2

x=-2,y=-2(-2)²+6=-8+6=-2

x=3,y=-2(3)²+6=-18+6=-12

x=-3,y=-2(-3)²+6=-18+6=-12

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

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

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

plotting the points (0,6),(1,4),(-1,4),(2,-2),(-2,-2),(3,-12),(-3,-12),...

we get the following graphs.

Translate this sentence into an equation. 39 is the product of Hector's height and 3. Use the variable h to represent Hector's height.

Answers

so basically, 39=H+3 because 39 is the product = H (hectors height) and (+) 3

What are the three forms a solution can
written in?

Answers

Answer:

solid solutionliquid solutiongas solution

3x+10=43 what is x to the what are the steps to equal X to the math equation

Answers

Answer:

x = 11

Step-by-step explanation:

When solving for x, you want to get the variable by itself on one side of the equation. The first step is to subtract 10 from both sides. 43-10=33. So, it should look like:

3x = 33

Divide both sides of the equation by 3 to get x alone. 33/3 equals 11. So x =11. Hope this helped and lmk if you have more questions!!

Lin is paid $86 for 4 hours of work how much would she be paid at this rate for 9 hours of work?

Answers

Answer:

173.5

Step-by-step explanation:

The answer is 173.5

To solve this type of equation we first have to find the unit rate, in this case, the unit rate is dollars every hour, in order to find this we have to divide 86 by 4 as shown below

[tex]86/4=21.5[/tex]

Therefore the unit rate is 21.5$ every hour so in order to find how much money she was paid after 9 hours we have to multiply 21.5 by 9, which is shown below

[tex]9x21.5=173.5[/tex]

Thus, that is how much money Lin will be paid after 9 hours of work.

Hope this Helps!

Solve the system of equations y = 2x + 3 and 4x - 2y = -6 using a graphical method.

A) (-3/2 , 0)
B) (3/2 , 6)
C) (2 , 7)
D) infinite solutions ​

Answers

The answer is D) Infinite solutions.

To graph a linear equation, first you plot the y-intercept, then move the point depending on your slope.

First, you need to solve 4x - 2y = -6. So you subtract 4x on both sides, then divide each side by -2. This gives you y = 2x + 3.

Y = 2x + 3 is point (1, 5) on the graph. And since the graphs of the equations are the same, there are infinite solutions.

I need a equation written for this pleeeeeaaaassse! The constant of proportionality is 2.
but I need an equation for this, I have an attachment for you to help. g= c is not correct sorry.

Answers

It sounds like your teacher wants g = 2c as the answer. The constant of proportionality simply tells us what to multiply the input variable by, to get the output variable.

It's similar to saying y = 2x, but we use c in place of x and use g in place of y.

The second hand of the clock is 3.7 cm long. Find the linear speed of the tip of the second
hand as it's passes around the clock face.
O 0.00646 cm per sec
O 172.03 cm per sec
O 0.387 cm per sec
2.87 cm per sec

Answers

Answer:

I'd look it up would probably work if not see if someone else might be able to help you out with this

Question 21 of 25
In the triangle below, what is the length of the side opposite the 30° angle? 30° 60°
A. 34/3
B. 3/2
C. SQR ROOT of 3
D. 2-3​

Answers

Answer:

[tex] \frac{3}{2} [/tex]

Step-by-step explanation:

30

[tex] \frac{30}{60 \:} 3 \\ \frac{3}{2} [/tex]

30 or 60 ko kat do 10 ka table me answer

[tex] \frac{3}{2} [/tex]

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