A limo is rented at a fixed cost for an evening. It is rented by 12 people, the average cost for each person will be $2 less than if it is rented by 10 people. How much does the limo cost for the evening?

Answers

Answer 1

Answer:

$120

Step-by-step explanation:

According to the information in the statement and taking into account that the price for renting the limo is fixed, you can say that the cost of renting the limo for 12 people is equal to the cost of renting it for ten. Then, the cost for 12 people is 12 for the cost per person which is equal to 10 for the cost per person and you can express it as follow:

x is the cost per person when the limo is rented by 10 people.

12*(x-2)=10*x

You can solve for x:

12x-24=10x

12x-10x=24

2x=24

x=24/2

x=12

Now that you have the cost per person when the limo is rented by 10 people, you can multiply this value for 10 to find the cost of renting the limo for the evening:

12*10=120

The answer is that the limo cost $120 for the evening.


Related Questions

Find the midpoints of the points (-3,-2) and (1,-4)

Answers

Answer: (-1,-3)

Step-by-step explanation:

midpoint formula [tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:-4\right)[/tex]

[tex]\left(\frac{1-3}{2},\:\frac{-4-2}{2}\right)[/tex]

[tex](\frac{-2}{2},\frac{-6}{2})[/tex]

-2/2=-1

-6/2=-3

So the midpoint is (-1,-3)

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PLEASE HELP! Find the coordinates of the vertices of the figure after the given transformation: T<2,3>
A. N′(−1,0),U′(1,5),L′(3,2),H′(1,−2)
B. N′(1,0),U′(3,5),L′(5,2),H′(3,−2)
C. N′(0,−2),U′(2,3),L′(4,0),H′(2,−4
D. N′(1,−1),U′(3,4),L′(5,1),H′(3,−3)

Answers

Answer:

The correct option is;

B. N'(1, 0), U'(3, 5), L'(5, 2), H'(3, -2)

Step-by-step explanation:

The coordinates of the pre-image are given as follows;

H(1, -5), N(-1, -3), U(1, 2), and L(3, -1)

The required transformation is T₍₂, ₃₎,which is a translation of (two) 2 units right and an additional  translation of (three) 3 units up, which gives the coordinates of the image as follows;

N(-1, -3) transformed by N(-1 + 2, -3 + 3)  [tex]\overset{T_{(2,\, 3)}}{\rightarrow}[/tex] N'(1, 0)

U(1, 2) transformed by U(1 + 2, 2 + 3)  [tex]\overset{T_{(2,\, 3)}}{\rightarrow}[/tex] U'(3, 5)

L(3, -1) transformed by L(3 + 2, -1 + 3)  [tex]\overset{T_{(2,\, 3)}}{\rightarrow}[/tex] L'(5, 2)

H(1, -5) transformed by H(1 + 2, -5 + 3)  [tex]\overset{T_{(2,\, 3)}}{\rightarrow}[/tex] H'(3, -2)

The coordinates of the vertices of the given figure after the given transformation, T₍₂, ₃₎, are N'(1, 0), U'(3, 5), L'(5, 2), and H'(3, -2).

Therefore, the correct option is N'(1, 0), U'(3, 5), L'(5, 2), H'(3, -2).

A spinner contains 3 equal sections: one red, one yellow, and one blue. The possible results of two spins are shown in the tree diagram below. What is P(red, then yellow)?

Answers

1/9

3 x 3 = 9 (since it is spun twice)

1/9

----------------------------------------------------------------------------

Answer:

1/9

Step-by-step explanation:

Probability of spinning a red =  1/3

Probability of spinning a yellow = 1/3

So Probability of getting red and then yellow = 1/3 x 1/3 = 1/9

A number if that number and the number b sum to 40.

Answers

Answer:

40-b

Step-by-step explanation:

x is the unknown number

x+b = 40

We want to find x

Subtract b from each side

x+b-b = 40 -b

x = 40-b

The unknown number is 40-b

Answer:

[tex]\huge \boxed{40-b}[/tex]

Step-by-step explanation:

[tex]\sf Let \ x \ be \ that \ number.[/tex]

[tex]x+b=40[/tex]

[tex]\sf Solve \ for \ x.[/tex]

[tex]\sf Subtract \ b \ from \ both \ sides.[/tex]

[tex]x+b-b=40-b[/tex]

[tex]\sf Simplify \ the \ equation.[/tex]

[tex]x=40-b[/tex]

Shawn wanted to model the number 13,450 using 13,450 using base-ten blocks how many large cubes, flats, and longs does he need to model the number

Answers

Answer:

See attached

Step-by-step explanation:

13450 = 13000 + 400 + 50

13*1000  = 13 large cubes4*100      = 4 flats5*10        = 5 longs

8 less than half of n

Answers

Answer:

n/2>8

Step-by-step explanation:

Half of N is N/2

And if 8 is less that half of N or N/2

then

N/2 has to be greater than 8

N/2>8

A man bought a car for 5500 cedis and sold it for 6500 cedis .find the percentage gain

Answers

Answer:

Around 18.18%

Step-by-step explanation:

We can use the percentage increase formula to find the gain here. The formula goes:

[tex]\frac{new-original}{original}\cdot100[/tex].

We know that the new value is 6500, and the old value is 5500, so we can substitute inside the equation.

[tex]\frac{6500-5500}{5500}\cdot100\\\\\frac{1000}{5500}\cdot100 \\\\0.\overline{18} \cdot100\\\\18.\overline{18}[/tex]

Which rounds to 18.18%.

Hope this helped!

Translate into an equation: Five times the sum of a number and six is 48

Answers

Hey there! I'm happy to help!

When building equations, the word "is" means "equals".

First, we have the sum of a number and six. You can use any letter to represent the number. I will use n.

(n+6)

We see that this is multiplied by 5. We can just put the 5 next to the parentheses. This shows multiplication.

5(n+6)

Is 48

5(n+6)=48

Have a wonderful day! :D

You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you decide to swim 151515 minutes longer than she does one day at practice. Write an equation for the number of minutes you swim, yyy, when your friend swims xxx number of minutes.

Answers

Answer:

y = x + 15

Step-by-step explanation:

My friend swims x minutes.

I swim 15 minutes more than my friends, so I swim x + 15 minutes.

I swim y minutes, so y equals x + 15

Answer: y = x + 15

1 minus tan square A by 2 by tan + square A by 2 equals to Cos A​

Answers

Answer:

trerjyhtrwgfdfeqrtgfnerwqdfgfgrqwefgn

Step-by-step explanation:

what is the same number like 0.07

Answers

Answer:

we need more information

Step-by-step explanation:

Pens cost 15 pence each.
Rulers cost 20 pence each.

A school buys 150 pens and 90 rulers.
The total cost is reduced by 1/5


How much does the school pay?

Answers

Answer:

The amount the school pays is £32.40

Step-by-step explanation:

The cost of each pen = 15 pence

The cost of each ruler = 20 pence

The number of pens bought by the school = 150

The number of rulers bought by the school = 90

The cost reduction (discount) on the items bought = 1/5

Therefore, we have;

The total cost of the pens bought by the school = 150 × 15 = 2250 = £22.50

The total cost of the rulers bought by the school = 90 × 20 = 1800 = £18.00

The total cost of the writing materials (rulers and pens) bought by the school = £22.50 + £18.00 = £40.50

The discount = 1/5 total cost reduction = 1/5×£40.50  = $8.10

The amount the school pays = The total cost of the writing materials - The discount

The amount the school pays = £40.50 - $8.10 =  £32.40

The amount the school pays =  £32.40.

Vince went on a 333 day hiking trip. Each day, he walked 3\4 ​the distance that he walked the day before. He walked 83.2583, point, 25 kilometers total in the trip.

Answers

Answer:

x= 36 km

Step-by-step explanation:

Vince went on a 3 day hiking trip. Each day, he walked 3/4 the distance that he walked the day before. He walked 83.25 kilometers total in the trip. How far did Vince walk on the 1st day of the trip?

Assume vince walked x km on the first day .

The following equation can be formed

x + 3/4 x + (3/4)^2 x = 83.25

x + 0.75x + 0.5625x = 83.25

Add the like terms

2.3125x = 83.25

Divide both sides by 2.3125

x = 36 km.

Answer:

36

Step-by-step explanation:

Please help solve this, I solved it on my own but I think my calculations are wrong. here is the problem,
b-(b+a×4c÷4); use; a=-6, b=1, and c=2?​

Answers

Hi there! Hopefully this helps!

----------------------------------------------------------------------------------------------------------

Answer: 12~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

First we need to substitute the value of the variable into the expression and simplify.

b-(b+a×4c÷4) = 1 - (1 + -6 × 4(2) ÷ 4).

Now we need to solve 1 - (1 + -6 × 4(2) ÷ 4).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1 - (1 + -6 × 4(2) ÷ 4)

|

|  First, we cancel out 4 and 4.

\/

1 - (1 - 6 × 2)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Next, we multiply -6 and 2 to get -12.

1 - (1 - 12)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Then we subtract 12 from 1 to get -11.

1 - (-11)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The opposite of -11 is 11.

1 + 11.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Add 1 and 11 to get, you guessed it, 12!

Answer:

Answer: 12

Hope this helps

Find the decimal number exactly halfway between 1.01 and 1.02.
please help

Answers

Answer:

1.015

Step-by-step explanation:

just find their average, which is adding them up and dividing by 2

(1.01 + 1.02)/2 = 1.015

The decimal number exactly halfway between 1.01 and 1.02 is 1.015.

What are decimals?

A decimal numeral system is the standard system for denoting integer and non-integer numbers. The way of denoting numbers in the decimal system is often referred to as decimal notation.

The given numbers are,

1.01 and 1.02

Now to find the halfway between the number we need to find their sum first and then the half of the sum.

So, the sum of number,

1.01 + 1.02 = 1.03

Now for half way divide the sum by 2

1.03/2 = 1.015

Hence, The decimal number exactly halfway between 1.01 and 1.02 is 1.015.

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Which system of linear inequalities is represented by
the graph?
Oy> x-2 and y < x + 1
O y< x-2 and y > x + 1
Oy x + 1
O y > x-2 and y < x + 1

Answers

Answer:

The correct option is;

y < x - 2, and y > x + 1

Step-by-step explanation:

The given graph of inequalities is made up of parallel lines. Therefore, the slope of the inequalities are equal

By examination of the graph, the common slope = (Increase in y-value)/(Corresponding increase in x-value) = (0 - 1)/(-1 - 0) = 1

Therefore, the slope = 1

We note that the there are three different colored regions, therefore, the different colored regions opposite to each inequalities should be the areas of interest

The y-intercept for the upper bounding linear inequality, (y >) is 1

The y-intercept for the lower bounding linear inequality, (y <) is -2

The two inequalities are y > x + 1 and y < x - 2

The correct option is y < x - 2, and y > x + 1.

The system of linear inequalities is represented by  the graph is y> x-2 and y < x + 1

Inequalities is an expression that shows the non equal comparison of two or more variables and numbers.

Given that:

y and x are variables, plotting the inequalities using geogebra online graphing tool.

The system of linear inequalities is represented by  the graph is y> x-2 and y < x + 1

Find out more on linear inequalities at: https://brainly.com/question/21103162

Which of the following describe an angle with a vertex at A?
Check all that apply.
OA. ZABC
B. ZCAB
C. ZACB
D. ZBAC

Answers

Answer:

D) BAC is the correct answer as A is at the middle.

All of the options describe an angle with a vertex at A.

What is a vertex?

In geometry, a vertex is a point where two or more lines, curves, or edges meet to form an angle or a corner.

It is the common endpoint of two or more rays, line segments, or sides of a polygon.

We have,

All of the options describe an angle with a vertex at A.

In each option, A is the vertex of the angle.

The letters that come before and after A indicate the other two points that form the angle. So:

∠ABC is an angle with vertex A and points B and C on either side.

∠CAB is an angle with vertex A and points C and B on either side. (Note that the order of the letters is reversed from option A.)

∠ACB is an angle with vertex A and points C and B on either side. (Note that the order of the letters is reversed from option B.)

∠BAC is an angle with vertex A and points B and C on either side. (Note that the letters are in a different order than option A.)

Thus,

All of the options describe an angle with a vertex at A.

Learn more about vertex here:

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Which of the following can be used to express the total area of a figure?

A. (5)(4x)(3x)

B. 12x^2 + 15x

C. (3x + 4x) (5)

D. 3x (4x + 5)

Answers

Answer:

The answer is option B

Step-by-step explanation:

The figure above is a rectangle

Area of a rectangle = length × width

From the question

The total length of the rectangle = 3x

The total width of the rectangle = 4x + 5

So the area of the figure is

A = 3x( 4x + 5)

Expand

We have the final answer as

A = 12x² + 15x

Hope this helps you

1. Calculate the amount of gallons needed to fill the pool shown below.

Answers

Answer:

25,070 gal

Step-by-step explanation:

will make it simple and short.

vol =  ( a + b ) * h/2 times the depth

vol = (8 + 3.5) x (35/2) x 20 = 4025 cu. ft.  ---------->>> then convert to gal.

                              6.2288 gal

vol = 4025 cu.ft. x ----------------- =  25,070 gal

                                 1 cu.ft.

The Gonzalez family drove from 10:38 am to 2:05 pm. How long did they drive?

Answers

Answer:

3 hours and 27 minutes

Step-by-step explanation:

2:05 pm = 14:05 hours

1 hour = 60 minutes

14:05 = 13 hours + 60 minutes + 5 minutes = 13 hours + 65 minutes

then:

 13h  65m

- 10h  38m

=  3h  27m

they drive:

3 hours and 27 minutes

Plz help me. what is 4.9 * 10^-5 +.0005

Answers

Answer:

It should be 490000.0005

Step-by-step explanation:

4.9*10^5+.0005

10^5=100000

4.9*100000=490000

490000+.0005=490000.0005

Answer:

Step-by-step explanation:

[tex]10^{-5}=\frac{1}{10^{5}}=\frac{1}{100,000}=0.00001\\\\[/tex]

4.9* 10^-5 +0.0005 = 4.9 * 0.00001  + 0.0005

                               = 0.000049 + 0.0005

                              =  0.000549

WILL MARK BRAINLIEST!!! PLZ HELP! The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 Function 2 f(x) = −x2 + 4x + 1 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (2, 5). Function 2 has the larger maximum at (3, 2).

Answers

Answer:

C: Function 2 has the larger maximum at (2, 5).

Step-by-step explanation:

We are given two functions, with Function 1 being described by the graph and Function 2 given by the function:

[tex]f(x)=-x^2+4x+1[/tex]

Notice that the leading coefficient of Function 2 is negative. The graph of Function 1 is curving downwards. So, both functions will have maximum values.

Recall that for a parobala, the maximum (or minimum) values is the y-value of the vertex point. So, let's find the vertex for each function.

For Function 1, we can see that the vertex is at (4,1). Thus, its maximum value is y = 1.

For Function 2, we will need to work out the vertex. Recall that the vertex is given by:

[tex]\displaystyle \left(-\frac{b}{2a},f\left(-\frac{b}{2a}\right)\right)[/tex]

Function 2 is defined by:

[tex]f(x)=-x^2+4x+1[/tex]

Therefore, a = -1, b = 4, and c = 1.

Find the x-coorindate of the vertex:

[tex]\displaystyle x=-\frac{(4)}{2(-1)}=2[/tex]

Substitute this back into the function to find the y-coordinate.

[tex]f(2)=-(2)^2+4(2)+1=5[/tex]

So, the vertex of Function 2 is (2,5). Therefore, the maximum value of Function 2 is y = 5.

Since 5 is greater than 1, the maximum value of Function 2 is greater.

The answer is choice C.

There are 2 Rectangles, a red one and a blue one.The Blue rectangle has the perimeter of 250 km. If the area of the red rectangle is 2,500 square kilometers, what are its dimensions?


(Both of the rectangles have the same perimeter)

Answers

Answer:a

Step-by-step explanation:

Answer:

length = 100

width = 25

Step-by-step explanation:

Let L = length of red rectangle

Let H = height of red rectangle

Equation1:   L+H=125 : we know the perimeter is 250 so L+H is 125

Equation2:   L*H=2,500 : we know the area is 2,500

Equation3:   L=125-H : subtracted H from both sides of Equation1

Equation4:   (125-H)*H=2,500 : substituted "125-H" for L into Equation2

Solve equation4:

  (125-H)*H=2,500   multiple terms on left side of equation

  125H - H^2 = 2,500   rearrange into standard form

  H^2 - 125H + 2,500 = 0

At this point you can "brute force" the answer with the quadratic formula:

H = (125 ± SQRT(125^2 - 4*1*2500) ) / 2

H = 100 or H = 25 : actually these are L and H

You could also factor the equation:

(H - 100) * (H - 25) = 0 : gives same answe

Calvin has 80 meters of fencing to enclose his rectangular garden. He wants the garden’s length to be 12 meters greater then its width. Find the length and width of the garden.

a) 12m x 28m
b) 14m x 26m
c) 12m x 24m
d) 18m x 22m

Pls help!

Answers

Answer:

a

Step-by-step explanation:

a because when you divide 80 by 12 you get 28, so then it is 12 x 28m. :/

Answer:

Width  W = 14 m

Length  L = 26 m

Step-by-step explanation:

Perimeter of a rectangle = 80 m = 2L + 2W

L = 12 + W

80 = 2L + 2W

80 = 2(12 + W) + 2W

80 = 24 + 2W + 2W

80 - 24 = 4W

56 = 4W

W = 56 / 4

W = 14 m

L = 12 + W

L = 12 + 14

L = 26 m

check:

80 = 2L + 2W

80 = 2(26) + 2(14)

80 = 52 + 28

80 = 80 ---- OK

what is an equivalent expression for (6^4 *8^-7)^-9

Answers

Answer:

(6⁴ * 8⁻⁷) ⁻⁹

equivalent expressión is:

1 / (6⁴ * 8⁻⁷)⁹

Step-by-step explanation:

(6⁴ * 8⁻⁷) ⁻⁹

= 1 / (6⁴ * 8⁻⁷)⁹

Find the missing probability. P(A)=720,P(B)=35,P(A∩B)=21100 ,P(A∪B)=?

Answers

P (A U B) = 37/50

7/20+3/5+21/100

The missing probability P(A∪B) will be 37/50.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Given information;

P(A)= 7/20,

P(B)=3/5,

P(A∩B) =21/100 ,

We need to find the missing probability P(A∪B).

We know that

P(A∪B)= P(A) + P(B) + P(A∩B)

P(A∪B) = 7/20 + 3/5 + 21/100

P (A U B) = 37/50

Therefore, the missing probability P(A∪B) will be 37/50.

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Which of the following points lie in the solution set to the following system of inequalities? y < −3x + 3 y < x + 2 (1, −5) (1, 5) (5, 1) (−1, 5)

Answers

Answer: (1, −5)

Step-by-step explanation:

Plot the given inequalities on coordinate plane.

For y < −3x + 3, plot y =−3x + 3

At x=0,  y= 3

At y =0, 0=-3x+3

⇒ x= 1

so, plot points (0,3) and (1,0) and join to get y =−3x + 3, since inequality has '<' sign, so shade( in red) below line area and line should be dotted.

For  y < x + 2, plot  y = x + 2

At x=0,  y= 2

At y =0, x=-2

so, plot points (0,2) and (-2,0) and join to get y = x + 2, since inequality has '<' sign, so shade( in orange) below line area and line should be dotted.

Now, plot all given points (1, −5) (1, 5) (5, 1) (−1, 5), we can clearly observe that (1, −5) lies in the solution set.  (in common shaded region)

Answer:

The correct answer is 1, -5

Step-by-step explanation:

resolver la siguiente ecuación por eliminación o sustitución: a-8b= -9 a-2b= -7

Answers

Answer: Solution: [tex]a=\dfrac{-19}{3}[/tex] and [tex]b=\dfrac{1}{3}[/tex] .

Step-by-step explanation:

The given pair of equations:

[tex]a-8b= -9\ ...(i)\\\\ a-2b= -7\ ...(ii)[/tex]

Eliminate equation (i) from (ii) , we get

[tex]-2b-(-8b)=-7-(-9)\\\\\Rightarrow\ -2b+8b=-7+9\\\\\Rightarrow\ 6b=2\\\\\Rightarrow\ b=\dfrac{1}{3}[/tex]

Put value of b in (ii) , we get

[tex]a-2\times\dfrac{1}{3}=-7\\\\\Rightarrow\ a=-7+\dfrac{2}{3}\\\\\Rightarrow\ a=\dfrac{-21+2}{3}\\\\\Rightarrow\ a=\dfrac{-19}{3}[/tex]

Solution: [tex]a=\dfrac{-19}{3}[/tex] and [tex]b=\dfrac{1}{3}[/tex] .

how to write x divided by 16 in algebraic expression

Answers

Answer:

x/16 the line means your dividing the x by 16

Step-by-step explanation:

Use distributive property to evaluate the expression 5(4/1/5)

Answers

Answer:

21

Step-by-step explanation:

4[tex]\frac{1}{5}[/tex] = [tex]\frac{21}{5}[/tex]

5 × [tex]\frac{21}{5}[/tex] = (5×21)/5

[tex]\frac{105}{5}[/tex] = 21

Other Questions
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