4.

Which situation best represents the following equation?


30 + 4x = 70 + 2x

There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $2 per person. Limo B charges $70 plus $4 per person. How many people can ride to make the two companies charge the same amount?

There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $70 per person. Limo B charges $4 plus $2 per person. How many people can ride to make the two companies charge the same amount?

There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $4 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?

There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?


Answers

Answer 1

Answer:

There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $4 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?

Step-by-step explanation:

The correct situation is the third one, this is because the expression we have is:

[tex]30+4x=70+2x[/tex]

let's take the left side as the charge of the company limo A, and the left side as the charge of limo B.

Since 'x' is the number of people, the left side tells us that limo A charges $4 per person (hence the 4x) and adds an additional $30 (hence the 30 added on the left side).

And the right side tells us that limo B charges $2 per person (hence the 2x) and adds an additional $70 (hence the 70 added on the right side).

And since we have an equal sign this means that the expression represents the number of people that can ride and will pay an equal amount in each company.

This is the situation that the third option describes:

There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $4 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?


Related Questions

How much does the granite top on the island weigh, in pounds?
1 lb= 454 grams

Answers

What is the question

After finishing college, Daniel had interviews with SeaWorld and the Central Park Zoo. The probability of receiving an offer from SeaWorld is 35%. The probability of receiving an offer from the Central Park Zoo is 48%. The probability of Daniel getting an offer from both SeaWorld and the Central Park Zoo is 15%.
Determine the probability of receiving an offer from either SeaWord or Central Park Zoo but not both. ____________


Answers

Answer:

[tex]68\%[/tex]

Step-by-step explanation:

Let A be the event that Daniel receives call from SeaWorld.

Probability of event A, P(A) = [tex]35\%[/tex]

Let B be the event that Daniel receives call from Central Park Zoo.

Probability of event B, P(B) = [tex]48\%[/tex]

Probability that Daniel receives calls from both SeaWorld and Central Park Zoo:

[tex]P(A \cap B) = 15\%[/tex]

We know that formula:

Probability that Daniel receives call from either SeaWorld or Central Park Zoo but not both:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)\\\Rightarrow P(A \cup B) = 35\% + 48\% - 15\%\\\Rightarrow P(A \cup B) = 68\%[/tex]

Hence, required probability is [tex]68\%[/tex].

Answer:

Step-by-step explanation:

what’s the answer to this !!

Answers

The answer is letter A

Can someone help me?


Select the elements in A . A = { x : 1 < x < 50 } ξ = { x : x is a cube number } A 64 B 50 C 1 D 8 E 49 F 27 ?

Answers

Hey!!!!

The right answer is 27.

It is cube of 3.

Hope it will help you...

Good luck on your assignment...

-Pragya```

i pretty sure its 27

Raj builds a side table in the shape of a cube. Each edge of the cube measures 30inches. Raj wants to cover the top and four sides of the table with ceramic tiles. Each tile has an edge length of 6inches. How many tiles will we need?

Answers

Answer:

deportation

Step-by-step explanation:

deport raj

The Scale on a map shows that 200 is represented by 5 inches on a map .Which proportion can be used to find the distance on the map x, that represents 50 miles? A.) 5/200 = X/50 B.)200/5 = X/50 C.) 50/200 = 5/X D.)5/50 = X/200

Answers

Answer:

a

Step-by-step explanation:

just keep the miles on bottom and the inches on top

A cylinder is 20 inches long and has a diameter of 10 inches. What is the approximate volume of the cylinder?

Answers

Answer:

V=π(d/2)^2·h

=π·(10/2)^2 · 20

≈1570.79633in³

this is the correct answer!!!

The approximate volume of the cylinder is 1570.796 inches³.

What is Volume?

Volume of a three dimensional shape is the space occupied by the shape.

A cylinder is a geometrical shape has two circular bases which are parallel and they are connected with a curved surface.

Given that,

Height of the cylinder = 20 inches

Diameter of the base = 10 inches

Radius = Diameter / 2 = 10/2 = 5 inches

Volume of the cylinder = π r² h, where r is the radius and h is the height.

Volume = π (5)² (20)

             = 500π

             = 1570.796 inches³

Hence the volume is approximately 1570.796 inches³.

Learn more about Volume here :

https://brainly.com/question/16134180

#SPJ3

13)
A piece of pipe that is 8 feet long is cut into
ft pieces. How many pieces can be cut from the pipe?

Answers

Answer:

22

Step-by-step explanation:

did the test with that question

Answer:

22

Step-by-step explanation:

Jessica has 4/8 of a bottle of Robitussin syrup on hand. The pharmacist instructs Jessica to reduce the syrup by 1/2 so he can prepare a patient’s prescription. How much Robitussin does the pharmacist need to prepare the prescription?

Answers

Answer:

2/4 i think but im not sure

QUICK!!
Convert r = 6cscθ to rectangular form.

Answers

Answer:

x2+y2−6y=0

Step-by-step explanation:

What is the value of x in the equation x - y = 30, when y = 15?

Answers

Step-by-step explanation:

x-y=30

then y should be 15

x-15=30

x=30+15

x=45

need math help please!!

Answers

Answer:

  3

Step-by-step explanation:

That BD is a bisector means the angles on either side of it are congruent.

  9x = 8x +3

  x = 3 . . . . . . . subtract 8x

The value of x is 3.

Identify the sequence as arithmetic, geometric, or neither. Justify your answer by trying to describe the pattern (how are they moving from one number to the next).

1, 1, 2, 6, 24, 120,...

Answers

Answer:

factorials

Step-by-step explanation:

0!=1,1!=1,2!=2,3!=6,4!=24,5!=120,6!=720,...

sequence is n! starting at 0

An insurance policy charges a regular risk premium, , at Years 0,1,2,3,…,9 from today. The policy pays a claim of 2 (i.e. × ) in 15 Years from today. Calculate the value of (to 2 decimal places), assuming an interest rate of 2% per annum.

Answers

Answer:

x = 12.29

Step-by-step explanation:

present value of the claim = x² / (1 + 2%)¹⁵ = 0.743x²

present value of the 10 premiums:

x + x/1.02 + x/1.02² + x/1.02³ + x/1.02⁴ + x/1.02⁵ + x/1.02⁶ + x/1.02⁷ + x/1.02⁸ + x/1.02⁹ = x + 0.9504x + 0.9612x + 0.9423x + 0.9238x + 0.9057x + 0.888x + 0.8706x + 0.8535x + 0.8368x = 9.1323x

0.743x² = 9.1323x

x² / x = 9.1323 / 0.743

x = 12.29

Answer

x = 12.29

Step-by-step explanation:

Given that the policy claims x² in 15 years, at 2% = 0.02, the present value of the claim is given as:

x²/(1 + 0.02)^15

= x²(1/1.02)^15

= 0.743x²

The present value of the 10 premiums:

x + x/1.02 + x/1.02² + x/1.02^3 + x/1.02^4 + x/1.02^5 + x/1.02^6 + x/1.02^7 + x/1.02^8 + x/1.02^9

= x + 0.9504x + 0.9612x + 0.9423x + 0.9238x + 0.9057x + 0.888x + 0.8706x + 0.8535x + 0.8368x

= 9.1323x

Now,

0.743x² = 9.1323x

x²/x = 9.1323/0.743

x = 12.29

This is what we are looking for.

A circular swimming pool has a radius of 15ft. There is a path all the way around that pool that is three feet wide. What is the circumference of the outer edge of the path around the pool? Use 3.14 for pie

Answers

Answer:

94.2 ft.

Step-by-step explanation:

The equation to find circumference is 2 times pie times radius. We subsitute  pie for 3.14. Now the equation is 2(3.14)r. The radius is 15. When we subsitute 15 for r the answer will be 2(3.14)15. Another way to write it is 2 times 3.14 times 15. The answer would be 94.2

Find the surface area of the pyramid. The side lengths of the base are equal.
17 cm
12 cm
These are
square centimeters.​

Answers

Answer:

The answer is 204 square cm.

Step-by-step explanation:

You are asking for the surface area, and while calculating the surface area you will multiply the quantities.

Surface Areas: 17 cm multiply 12 cm

17 X 12 = 204

The answer is 204 sq. cm

Answer:

204

Step-by-step explanation:

Diagram 3 circles Help give u brainly

Answers

Answer:

20%

Step-by-step explanation:

2/10 cm are blue.

The length of a box is 18 cm. How long is the box

Answers

Answer: 18 cm

Step-by-step explanation:

Length means the same thing as “long” so whatever the length is, that’s how long it is. In this case, 18 cm is the length, so that’s how long it is.

Question 15 (5 points)
Find the distance between the points (-1/2,-8) and (-1/2,-2).​

Answers

Answer:

6

Step-by-step explanation:

Since the x coordinates are the same, you only need to find the difference between the y coordinates. -2-(-8)=-2+8=6. Hope this helps!

Please answer this correctly without making mistakes I want helping hand people to answer this

Answers

Answer:

k = 6

Step-by-step explanation:

Since the figures are similar, we can use ratios to solve

4         28

----- = -------

k         42

Using cross products

4 * 42 = 28k

Divide each side by 28

4*42/28 = 28k/28

6 = k

Answer: k = 6mm

Step-by-step explanation:

The shapes are similar, which means that each side on the triangle is proportionally similar to its corresponding side on the other triangle.

We can use proportions to solve for k:

[tex]\frac{4}{28} = \frac{k}{42}[/tex]

4 and k are proportionally similar and 28 and 42 are proportionally similar.

You can then cross-multiply to get this:

28k = 168

k = 6

The missing side is 6 mm long.

Solve for m.

774 = m − 15

Answers

Answer:

[tex]m = 789[/tex]

Step-by-step explanation:

[tex]774 = m - 15 \\ 774 + 15 = m \\ 789 = m[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

So the right answer is 789

look at the attached picture

Hope it will help you

Good luck on your assignment

a mini dvd has a radius of 4 centimeters. there is a hole in the middle of the mini dvd with a radius of 1 centimeter. what is the area of one side of the mini dvd

Answers

Answer:

Area of one side of mini DVD = 15π or 47.12 cm²

Step-by-step explanation:

The radius of the mini DVD is;r = 4cm.

Area of a circle = πr²

Thus, Area of mini DVD = π × 4² = 16π

Now,we are told the mini DVD has a hole with a radius of 1 cm.

Area of hole = π × 1² = π

To find the area of one side of the mini DVD, we have to subtract the area of the hole from the area of the DVD.

Thus;

Area of one side of mini DVD = 16π - π

= 15π = 47.12 cm²

The class of 2004 holds a reunion each year. In 2005, 87.5% of the 120 graduates attended. In 2006, 90 students went, and in 2007, 75 students went. About how many students do you predict went to the reunion in 2010

Answers

Answer:

15 students

Step-by-step explanation:

% of students attended reunion in 2005 = 87.5% of 120

no of students attended reunion in 2005 = 87.5/100  * 120 = 105.

no of students attended reunion in 2006 = 90

no of students attended reunion in 2007 = 75

So , the series for the given year is

105, 90, 75

we can see that this arithmetical progression series

in  arithmetical progression series

common difference is = nth term - (n-1)th term

lets takes 3rd and second term as  nth term and (n-1)th term

common difference(d) is =75 - 90 = -15

n th term for any arithmetical progression series is given by

nth term = a + (n-1) d

where a is the first term

n is the nth term

d is the common difference

we have to calculate number of students in reunion of of 2010

as reunion began from 2005

2005,2006,2007,2008,2009,2010

so, 2010 is 6th term in series of 105, 90, 75....

6th term =  a + (n-1) d

a is 90

6th term =  90+ (6-1)* -15

6th term =  90+ (5)* -15 = 90 - 75 = 15.

Thus, 15 students will attend reunion of 2010

Which equation has a constant of proportionality equal to 1

Answers

Answer:

Step-by-step explanation:

Is in

Including Jose, there are eight people in his family.
If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?
O 35
O 840
O 1,680
0 2,620

Answers

Answer:

840

Step-by-step explanation:

Since the order matters, we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

The first seat is Jose's.

The remaining four are organized among the other 7 members. So

[tex]P_{(7,4)} = \frac{7!}{(7-4)!} = 840[/tex]

So the correct answer is:

840

Answer:

The answer is B on Edge 2020

Step-by-step explanation:

I did the Exam

Use algebraic methods to find as many intersection points of the following curves as possible. Use graphical methods to identify the remaining intersection points.
r = 5 sinθ and r = 5 cosθ

Answers

Answer:

Step-by-step explanation:

r =5sin i

r=5 cos i

divide

tan i=1=tan (π/4),tan(π+π/4)

or tan i=tan (π/4),tan(5π/4)

or  tan i=tan (2n π+π/4),tan (2nπ+5π/4)

or tan i=tan ((8n+1)π/4),tan((8n+5)π/4)

i=(8n+1)π/4,(8n+5)π/4

where n is an integer.

so we get infinite points of intersection.

plz Help your fav. Marshmello i wasn' t,,,,, xx born yesterday.

Answers

Answer:

[tex] \boxed{D. \: x = 5} [/tex]

Step-by-step explanation:

[tex] = > 1 - 2x - 1 = - 10 \\ \\ = > 1 - 1 - 2x = - 10 \\ \\ = > 0 - 2x = - 10 \\ \\ = > \cancel{ - }2x = \cancel{ - }10 \\ \\ = > 2x = 10 \\ \\ = > x = \frac{10}{2} \\ \\ = > x = 5[/tex]

Answer:

the answer is attached to the picture

Isi makes sandwiches to sell at a football game.
The graph shows her costs and income from making and selling the sandwiches.

Select the three statements that are true, based on the graph.

Answers

Answer: 1)The more sandwiches you sell the more you income goes up. 2)If you sell 24 sandwiches  the cost will be the same as your income. 3) If you sell 0 sandwiches you will get zero income.

Step-by-step explanation:

my entry test is coming soon i prepard my exams maths english

Answers

Answer:

good luck !!

Step-by-step explanation:

Answer:

Good luck

Step-by-step explanation:

Rearrange the equation so u is the independent variable.
4u+8w=-3u+2w
w= __
Rearrange the equation so m is the independent variable.
-2m - 5n = 7m - 3n

Answers

Answer:

w = 7u/6

u = 6w/7

m = 2n/-9

n = -9m/2

Step-by-step explanation:

4u + 8w = -3u + 2w

4u - 4u +8w = -3u - 4u +2w

8w -2w = -7u + 2w - 2w

6w = -7u

w = 7u/6

u = 6w/7

AND

-2m - 5n = 7m - 3n

-2m -7m -5n = 7m -7m -3n

-9m -5n +5n = -3n +5n

-9m = 2n

m = 2n/-9

n = -9m/2

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