Mr. Greene is trying to decide which charter bus
company to use for the 8th grade Outer Banks trip.
Holiday Tours charges a down payment of $300 and $3
per mile. Diamond Tours charges a $500 down payment
and $1 per mile. Write and solve an equation to find the
number of miles when the cost of both companies will be
the same.

Answers

Answer 1

Answer: 100 miles

Step-by-step explanation:

300+3x=500+1x

subtract 1 from both sides

300+2x=500

subtract 300 from both sides

2x=200

divide 2

x=100


Related Questions

a piece of licorice is to be cut into 10 equal size pieces. if the length of the piece of licorice is 2/3 yard, how long will each piece of licorice be?

Answers

Sooo, 2/3 of a yard is 2 feet because a yard is 3 feet. If you need 10 of the same pieces and you convert feet to inches you would have 24 inches. 24/10= 2.4. Each piece of licorice would need to be 2.4 inches long if you wanted the same length.

Christine purchased a prepaid phone card for $20. Long distance calls cost 18 cents a minute using this card. Christine used her card only once to make a long distance call. If the remaining credit on her card is $15.68, how many minutes did her call last?

Answers

Answer:

4 minutes and 32 seconds

Step-by-step explanation:

card $20.00-money left over $15.68            $20.00-$15.68  4.32

16. If 3x2 = 2y = 12, what is the value of x2y

Answers

3 times 2 is 6 so then you have to divide and 6 time 2 is twelve so the answer is 2

Y=2

A bag of coins contains only quarters and dimes.
• The number of dimes in the bag can be represented by x.
• The number of quarters is 6 more than twice the number of dimes.
• There are a total of 276 coins in the bag.
What is x, the number of dimes in the bag?

helpp pls​

Answers

Answer:

Number of dimes in the bag = 90

Number of quarters in the bag = 186

Step-by-step explanation:

Let

x = Number of dimes in the bag

y = Number of quarters in the bag

= 2x + 6

Total = 276

276 = x + 2x + 6

276 = 3x + 6

276 - 6 = 3x

270 = 3x

x = 270/3

= 90

x = 90

Number of dimes in the bag = 90

Number of quarters in the bag = 2x + 6

= 2(90) + 6

=180 + 6

= 186

Total = Number of dimes in the bag + Number of quarters

= 90 + 186

= 276

2 to the -3 power over 2 to the -2 multiply 2 to the 6 power.

Answers

Step-by-step explanation:

Please gimme brainliest

I hope it's correct

please help! i’ll give brainliest! thank u!

Answers

Answer:

Negative with little correlation

It has negative slope if you imagine a line

There are 123 goldfish in the tank. Goldfish like to swim 12 fish to a family. If 6 of the goldfish died before forming families, how many FULL families will be formed?

Answers

Answer:

Formed will be i think 9, but im not sure.

Andrew makes $10 per hour babysitting and $8 per hour working at the grocery store. He will need to make atleast $650 to buy a new computer. Are the variables defined correctly? (True or False) x = Hours babysitting y = Hours working at grocery store

Answers

Answer:

True

Step-by-step explanation:

Since babysitting and working at the grocery store are two different things, you would need two different variables.

So x and y would be the correct representation.

Hope this helps ya!!

Write the product, and then write the expression in standard form by removing parentheses and combining like terms.
Justify each step.
A. The multiplicative inverse of 1/5 and (2x - 1/5)

Please help!!!

Answers

Step-by-step explanation:

please see it my steps to work this problem

Answer:

IG it is 2

Step-by-step explanation:

ur acc got something hahhah

A bus leaves a station traveling north at 70 kilometers per hour. Half an hour later a
second bus leaves the same station traveling north at 80 kilometers per hour. How far
from the station will the buses meet?

Answers

Answer:

280 km

Step-by-step explanation:

Given that a bus, say [tex]b_1[/tex], leaves a station traveling north at speed of  70km/hour.

Half an hour later the second bus, say [tex]b_2[/tex],  leaves a station traveling north at speed of  70km/hour.

As, distance = speed x time,

so, the distance traveled by bus [tex]b_1[/tex] in 0.5 hours = 70 x 0.5 = 35 km.

Note that, both the buses are traveling in the same direction and when the second bus leaves the station, the first bus already covered a distance of 35 km.

Let the second bus took [tex]t[/tex] hours to meet the first bus and both the buses meet at a distance of [tex]d[/tex] km from the station.

The distance traveled by the first bus from the station, [tex]d = 35 + 70t[/tex] km

[tex]\Rightarroe t= \frac {d-35}{70}\cdots(i)[/tex]

and the distance traveled by the second bus, [tex]d = 80t[/tex] km

[tex]\Rightarrow t=\frac {d}{80}\cdots(ii)[/tex]

Now, equation the equation (i) and (ii), we have

[tex]\frac {d-35}{70}=\frac {d}{80} \\\\\Rightarrow 8(d-35)=7d \\\\\Rightarrow 8d - 280 = 7d \\\\\Rightarrow 8d-7d=280 \\\\\Rightarrow d = 280 km[/tex]

Hence, both the bus will meet at a distance of 280 km from the station.

Alex earn 12% Commission on any of her monthly sales over $5,000 for sales for May were $6,750 how much commission did Alex earn​

Answers

Answer:

you're question is complicated

Step-by-step explanation:

Answer:

u

Step-by-step explanation:

hb

is this answer, right?

Answers

Answer:

1) Incorrect should be 35%, 2)incorrect should be 23%

Step-by-step explanation:

37 + 24 = 61   61 + 54 = 115   115 + 36 = 151 college students

1) 54  =   x                    2)  36 = x

  151 = 100                       151 = 100

151x/151 = 5400/151    151x/151 = 3600/151

     x = 35.7...                      x = 23.8...

  do not round              do not round

up since you can't      up since you can't

 get more people       get more people

17. Write a rational function in expanded form that satisfies the
following criteria:
• V.A. x=2
• SI.A y =5x-1
• Zero of function (-1,0)

pls help thank you<3

Answers

Answer:

[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]

Step-by-step explanation:

Given

VA; [tex]x = 2[/tex]

SLA: [tex]y = 5x - 1[/tex]

Zero of function: [tex](-1,0)[/tex]

Required

Determine the rational function in expanded form

Analyzing the vertical asymptote

The vertical asymptote is given as:

[tex]x = 2[/tex]

Subtract 2 from both sides

[tex]x - 2 = 2 - 2[/tex]

[tex]x - 2 = 0[/tex]

This means that the denominator must be [tex]x - 2[/tex]

Analyzing the zero of the function

The zero of the function is given as: [tex](-1,0)[/tex]

This means that [tex]x = -1[/tex], when [tex]y = 0[/tex]

Equate [tex]x = -1[/tex] to 0 by add 1 to both sides

[tex]x + 1 =- 1 + 1[/tex]

[tex]x + 1 =0[/tex]

This means that one of the numerators must be [tex]x + 1[/tex]

Analyzing the slant asymptote:

[tex]y = 5x - 1[/tex]

This means that one of the numerators must be [tex]5x - 1[/tex]

Hence, the function is:

[tex]f(x) = \frac{(5x - 1)(x+1)}{x - 2}[/tex]

Expand the numerator

[tex]f(x) = \frac{5x^2 + 5x - x - 1}{x - 2}[/tex]

[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]

If a 5-foot man casts a 6-foot shadow, how tall is a tree that casts a
24-foot shadow?

Answers

Answer:

28.8 foot shadow

Step-by-step explanation:

to do that, you would have to make proportionate fractions. That would mean that you do 5/6 = 24/x. Then you would just cross multiply to get 5x = 144. Then you would divide to isolate x. That would give you 28.8

Which expression is equal to the expression below?
(7•2)^7



A. 7^7 + 2^7
B. 7^7 • 2^7
C. 7 • (7•2)
D. 9^7​

Answers

Answer:

c

Step-by-step explanation:

B is the correct answer

Evaluate the following functions to determine the range for each given domain.
3. f(x) = 5x + 6 D = {-3,0,5}
4. f(x) = -1 D = {-6,9,21}​
please show work

Answers

Answer:

3. f' ( x) = 5

4. d= 69.21

I hope i helped

A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint. One gallon of paint covers 300 square feet. What is the smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool? Explain or show your reasoning.

Answers

Answer:

2

Step-by-step explanation:

the area of the radius 30 is 2827 and since 1 bucket can cover 1800 we will only need 2 buckets because we need a total of 2827 and 1 bucket covers 1800 so 2 buckets will cover 3600.

The smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool is 2 and this can be determined by using the unitary method.

Given :

A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint.A store sells 5-gallon cans of paint. One gallon of paint covers 300 square feet.

First, find the value of the area of the bottom of the pool. And it can be determined by using the below formula:

[tex]\rm Area = \pi r^2[/tex]

Area = 2827.43 square feet

Now, if one gallon of paint covers 300 square feet then 2837.43 square feet area covers by:

[tex]=\dfrac{2827.44}{300}\times 1[/tex]

= 9.43 gallons of paint

So, to cover the whole bottom area of the pool with paint then the amount of paint required is 9.43 gallons.

Now, if one can contain 5 gallons of paint then 9.43 gallons of paint is contained by :

[tex]=\dfrac{9.43}{5}[/tex]

= 1.886 [tex]\approx[/tex] 2

The smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool is 2.

For more information, refer to the link given below:

https://brainly.com/question/23368125

The number of sweets s that each friend gets is the number of sweets in a box n divided by the number of friends f the sweets are shared between. Enter a formula for the number of sweets each friend gets and enter the number of sweets each friend gets if there are 60 sweets and 12 friends.

Answers

Answer:

The number of sweets each friend gets = 5

Step-by-step explanation:

The number of sweets s that each friend gets = the number of sweets in a box n ÷ number of friends f the sweets are shared between

s = n ÷ f

s = n/ f

if there are 60 sweets and 12 friends.

That is,

n = 60 sweets

f = 12 friends

Find s,

s = n/ f

= 60 / 12

= 5

s = 5 sweets

The number of sweets each friend gets = 5

Only 35 people out of the 250 to whom the offer was made refused it. What percent refused it?

Answers

Answer:  14% refused the offer.

Step-by-step explanation: Divide the number of refusals by the total sent.

35/250 = 0.14 Then multiply by 100 to change from decimal to percent.

The quick way to multiply by 100 is to move the decimal point two places to the right. (Delete the 0 at the left.)

0.14 × 100 = 14.  So the answer is 14%

The length between points on a map is 3 inches, 7 inches, and 10 inches. If the scale is one inch equals 25 miles, what are the distances in miles? 3 inches is miles 7 inches is miles 10 inches is miles

Answers

9514 1404 393

Answer:

3 inches ⇒ 75 miles7 inches ⇒ 175 miles10 inches ⇒ 250 miles

Step-by-step explanation:

Each inch is 25 miles, so the number of miles is 25 times the number of inches.

  3 in ⇒ (3×25 mi) = 75 mi

  7 in ⇒ (7×25 mi) = 175 mi

  10 in ⇒ (10×25 mi) = 250 mi

How are coordinate planes the same ????
22 points if u can answer

Answers

Answer: Its a trick question

Step-by-step explanation:

I did this yesterday

Answer:

They are the same because they all have an X-axis and a Y-axis

Step-by-step explanation:

sorry if im wrong lol

Write an equation for the following problem.

The cost of a babysitting service on a cruise is $10 for the first hour and $12 for each additional hour. If the total cost of

babysitting baby Aaron was $58, how many hours was Aaron at the sitter?


12x+10=58

10x+12=58


12x-58=10


10x+58=12

Answers

Answer:  Aaron was at the sitter for 5 hours

Step-by-step explanation:

12x + 10 = 58

the 12x is for each hour after the first hour and the 10 is the first hour

-10 from each side

12x = 48

/12

x = 4

4 additional hours plus the original hour

Answer: 12x+10=58

Explanation: $10 is the flat rate, so it only applies to one of the hours. It is not being multiplied by anything. Her hourly rate after that is $12 meanings the amount of money she makes depends on how many hours she works which is x. $58 is the end result so that is what the equation equals.

In an acute triangle, the measures of two angles are 50° and 60°. What is the measure of the third angle?

Answers

Answer:

70 degrees

Step-by-step explanation:

The measure of all angles in a triangle are 180 always

1. Add 50 + 60 = 110

2. 180 - 110 = 70

Hope that helps dude

The diameter of a cookie is 2 inches. If IT = 3.14, what is the area of the cookie, rounded to the nearest tenth?
A
39.4 in.2
B
9.9 in.2
с
3.1 in.?
D
6.3 in.2

Answers

Your answer is either A or D mainly d

Find the unit rate.

625 revolutions in 223 seconds

The unit rate is revolutions per second.

Answers

Answer:

2.80 revolutions / second to the nearest hundredth.

Step-by-step explanation:

625/223

= 2.803.

GIVING BRAINLIEST ONCE AGAIN

Answers

Answer:

45

Step-by-step explanation:

divide 25 by 5 to see how they got that, which is 5. then multiply 9 by 5 bc you have to do the same thing, which is 45.

Answer:

5:9 = 25:45

Step-by-step explanation:

Find m. Leave answer in simplest radical form.
1
30°

Answers

Answer:

m = 6√3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing side length.

Step 2: Identify Variables

POV from angle measure

Angle = 30°

Adjacent Leg = m

Hypotenuse = 12

Step 3: Solve for m

Substitute [cosine]:                    cos30° = m/12Isolate m:                                    12cos30° = mEvaluate:                                     10.3923 = mRewrite:                                       m = 6√3

solve for x
3(x - 2) = 6x - 12

Answers

Answer:

The answer is 2

Step-by-step explanation:

Here's how I got it:

3(x - 2) = 6x - 12

Multiply 3 times x and 3 times 2, this is what you would get

3x - 6 = 6x - 12

Then, subtract the lowest x with the bigger X, this way you would have x on one side:

3x - 6 = 6x - 12

-3x        -3x

This is what you should have after this:

-6 = 3x - 12

Now, to get the variable (letter that represents a number) by itself, you have to add 12 to both sides like this:

-6 = 3x - 12

+12        +12

You would get this:

6 = 3x

Finally, you have to get x by itself, so you have to divide 3 on both sides like this

6/3 = 3/3 x

That's why, your answer is 2

PLEASE HELP ME QUICK!!!!!
For proportional percent problems, why do you put a 100 on the bottom of the right proportional ratio (fraction)?

Answers

Answer:

because its out of 100

Step-by-step explanation:

cause it could be something else

Elaine and Kasmir share a $2500 prize in the ratio 3:2. How much money should they each receive?

Answers

Whoever is to receive more (the 3 in the ratio) should receive $1,500 and whoever is to receive less (the 2 in the ratio) should receive $1,000.
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