Eighty percent of the tourists in a group took a bus and the rest took a taxi. The bus fare per person is 40% less than the taxi fare per person. All together they paid $68 for the tour transportation, and the bus fare per person is $3. How many tourists are in the group?

Answers

Answer 1

Answer:

Bus = 16 Tourists and Taxi = 4 Tourists

Total = 20 Tourists

Step-by-step explanation:

According to the Question,

Given, 80% of the tourists in a group took a bus and 20% took a taxi. Thus the Ratio of Tourists Travel by Bus toTaxi is 4x:1x.The bus fare per person is 40% less than the taxi fare per person. And Also Given that the bus fare per person is $3 Thus, The Taxi fare per person would be $5.

All together they paid $68 for the tour transportation.

4x × 3 + x × 5 = 6812x × 5x = 6817x =68x=4

And, the Ratio of Tourists Travels by Bus toTaxi is 4x:1x . So,the Tourists Travel by Bus to Taxi is 16 and 4 Respectively . Total = 20 Tourists are in the Group.


Related Questions

can someone help please!!
find the maximum value of function f(x) = -1.1x^2 - 3.6x + 1

Answers

Step-by-step explanation:

everything can be found in the picture

What is the arithmetic mean of the following numbers?
8, 1, 2, 6, 1, 48, 1, 2, 6, 1, 4

Answers

Answer:

7.3 if 48 is a number (I'm not sure if you meant 4,8 or 48)

4 if you meant 48 to be separate

Step-by-step explanation:

Mean means average so you add up all the numbers then divide the answer by how many numbers there are, so 44/11=4

Complete the statement

Answers

Answer:

<RQS = <RSQ

Step-by-step explanation:

IRQ = RS, then QRS is an isosceles triangle and the base angles are equal

<RQS = <RSQ

wht is 515 ÷ 41 in standard algorithm?

Answers

Answer:

12 r 23

Step-by-step explanation:

for me how I got it was basically by dividing 515 by 41 or by seeing how many time 41 can go into 515

Answer:

12.560976  and the .560976's repeat over and over, so there should be a repeating bar over those numbers

Step-by-step explanation:

 

or
1. The starting point of a___ or____
is the endpoint.

Answers

Answer:

1. The starting point of a ray or line segment

is the endpoint.

Step-by-step explanation:

hope it may help you!

Answer:

The starting point of a ray or line segment is the endpoint.

Step-by-step explanation:

hope it may help you

Ayuda plissss es para hoy

Answers

Answer and Step-by-step explanation:

1.

First, combine everything in the first parenthesis, then multiply by the number on the outside.

Primero, combine todo en el primer paréntesis, luego multiplique por el número en el exterior.

[tex]\frac{8}{5} +\frac{6}{5} -\frac{4}{5} =\\\\\frac{14}{5} -\frac{4}{5} = \frac{10}{5} = 2\\\\\\[/tex]

2 × [tex]\frac{5}{6}[/tex] = [tex]\frac{10}{6} = A) \frac{5}{3}[/tex]   <- This is the answer. Esta es la respuesta.

2. First, combine everything in the first parenthesis, then multiply by the number on the outside.

Primero, combine todo en el primer paréntesis, luego multiplique por el número en el exterior.

[tex]\frac{20}{11} + \frac{12}{11}- \frac{19}{11} =\\\\\frac{32}{11} -\frac{19}{11} = \frac{13}{11} \\\\\\[/tex]

[tex]\frac{13}{11}[/tex] × [tex]\frac{11}{13}[/tex] = B) 1  <- This is the answer. Esta es la respuesta.

3. Make the fractions have the same denominator, then add, then multiply by 40.

Haz que las fracciones tengan el mismo denominador, luego suma y luego multiplica por 40.

[tex]\frac{3}{8} ->\frac{15}{40} \\\\\frac{4}{5} ->\frac{32}{40} \\\\\frac{15}{40}+ \frac{32}{40} = \frac{47}{40} \\\\\\[/tex]

[tex]\frac{47}{40}[/tex] × 40 = E) 47  <- This is the answer. Esta es la respuesta.

I hope this helps! #TeamTrees #PAW (Plant And Water)

¡Espero que esto ayude! #TeamTrees #PAW (Planta y agua)

What pattern can you use to find other terms of the sequence given below? 14, 6, -2, -10, -18, … Add _________ to the previous term to find the next term

Answers

Answer:

Add -8

Step-by-step explanation:

Take the second term and subtract the first term

6-14 = -8

Check with the third and second terms

-2 -6 = -8

We are subtracting 8 from each side

(or adding -8)

Step-by-step explanation:

14, 6, -2, -10 , -18

ok so if you are starting at 14 then you would be add -8

14-8=6

6-8=-2

so on and so on..

But if you are starting from -18 then you would add 8

-18, -10,-2, 6, 14

-18+8=-10

-10+8=-2 so on and so on

so either one of those depending on which number your starting with

calculate the volume of a cylinder with a base radius 3.5cm and height of 5cm.
[tex]\pi = 22 \div 7[/tex]

Answers

I got 192.42 hope this helped :)

(x^2)^3÷x^6 HELLLLP​

Answers

Answer:

x

Step-by-step explanation:

(x²)³ ÷ x⁶

x⁶ ÷ x⁶

x

The answer is 1

Explanation: (x ²) ³ = x ⁵

x ⁵ / x ⁶ = 1

Can someone please help me!I'm struggling!

Answers

1. 1/4x + 5 =y
2. 1/4x
3. Increasing
4. It’s a positive number
5. 5
6. But the point on the vertical line at positive 5

Aline has a slope of -3 and a y-intercept of 3

what is the x-intercept of the line?

Answers

Answer:

(1,0)

Step-by-step explanation:

y = -3x+3

simple, to find the x-intercept, what does x equal for y to be 0?

when x is 1, y equals 0, so the x-intercept would be at (1,0)

Find the equation of the straight line passing through the point (0,5)
which is perpendicular to the line
y = 5 x + 2​

Answers

Answer:

y = - [tex]\frac{1}{5}[/tex] x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 2 ← is in slope- intercept form

with slope m = 5

Given a line with slope m then the slope of the line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]

The line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = - [tex]\frac{1}{5}[/tex] x + 5 ← equation of perpendicular line

Answer:

y = -x/5 + 5

Step-by-step explanation:

Equation of a line L : y=mx+b perpendicular to another line L1 through a point P(p,q)

Given :

L1 : y = 5x+2

P : P(p,q) = P(0,5)

Solution :

Slope of L1 = 5.  For L to be perpendicular, product of slopes = -1 =>

m*5=-1, or m = -1/5

Since L passes through P(0,5), using the point slope form of the line L :

L : (y-5) = -(x – 0) / 5

L : y = -x/5 + 5

anyone help with this math question please dont geuss

Answers

Answer:

For each ticket sold they earned 3 dollars

Step-by-step explanation:

What is the area of the rectangle below? 8 17 O A. 68 sq. units O B. 25 sq. units O C. 136 sq. units O D. 50 sq. units​

Answers

Answer:

136 sq units

Step-by-step explanation:

area = length  * width

a = 17 * 8

a = 136 sq units

The area of the rectangle is given by the equation A = 136 units²

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Let the length of the rectangle be L

Now , the value of L = 17 units

Let the width of the rectangle be W

Now , the value of W = 8 units

And , Area of Rectangle = Length x Width

On simplifying , we get

Area of rectangle A = 8 x 17

Area of rectangle A = 136 units²

Therefore , the value of A is 136 units²

Hence , the area of rectangle is 136 units²

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ7

HELP PLEASE THIS IS DUE TODAY!

Answers

Answer:

13.76

Step-by-step explanation:

Find the area of the entire square (8 x 8 = 64)

Find the area of the circle (3.14 x 4^2 = 50.24)

Subtract the two (64 - 50.24 = 13.76)

During a fundraiser, students in Math Club make a $0,50 profit for every candy bar
they sell
Let n represent the number of candy bars the club sells.
Lett represent the total profit earned, in dollars.
What is the total profit earned for selling 10 candy bars?


I got two answer when I solved it but I’m not sure which one is correct

Here what I got

For the first time I tried it
0.50x10=5
Or
0.50+0.50 +0.50 +0.50 0.50 +0.50+0.50+0.50+0.50= 4.5

I’m not sure if I’m correct or which is the right answer can someone expían ?

Answers

Answer:

profit(n) = n * .50

Profit(10) = 5.00

Step-by-step explanation:

Profit = amount of candy bars sold * profit per candy bar

profit(n) = n * .50

Let the number of candy bars sold be 10  ( n=10)

Profit(10) = 10 * .50

               = 5.00

When you added you only added 9  .50 terms which is why you only got 4.50 for your answer.

There are 6 students sitting on the bleachers and 15 students sitting on the floor. What is the ratio of the number of students sitting on the bleachers to the total number of students?

Answers

The total will be 10

There is a relationship between the total cost of renting a costume and the number of hours the costume is rented.

For 2 hours, the total cost is $50

For 5 hours, the total cost is $80

What type of variation is this relationship [ Direct or Partial] and what is the initial value?

Answers

Answer:

this means that for just an hour or 2 you're going to pay $25/hour which would be the initial value...but if you keep it for 5 hours you only pay $16/hour...the more you buy the less you pay per thing you're buying. ...this is a partial relationship, because there is an initial value greater than 0, and has a constant rate of change. a direct relationship would be when one variable did affects the other, meaning when one changes, so does the other ....it would mean the price got cheaper by a certain amount with every hour added ...in this example, the price doesn't get cheaper until hour 5, meaning the initial value is affected by the variable of hours rented...but is not a constant change, it is a partial change because it only changes under certain circumstances, (5 hours) rather than changing constantly with each passing hour....

someone please help please im begging someone help me ASAP!!! i’m struggling

Answers

Answer:

JK--- TU

KL--- UV

JL---TV

Answer:

JK- TU , KL-UV , JL-TV

Step-by-step explanation:

hope this helps

D
А
с
B
ABC measures 115º and Z DBC measures
70°. What is the measurement of ZABD?

Answers

Answer:

45 = ABD

Step-by-step explanation:

ABC = ABD + DBC

115 = ABD + 70

Subtract 70 from each side

115 - 70 = ABD

45 = ABD

A data set contains an independent and a dependent variable. Which must be true of the data set if a linear function can be used to represent the data?

Answers

The correct answer is the Additive rate of change.

We have given that,

A data set contains an independent and a dependent variable.

Let x be the independent variable and y be the dependent variable.

To write the  relationship we will have :

y = kx + c

Where k and c are constants.

In the case of a line, the constant k is the gradient.

A multiplicative change is a log form and it is given by :

What is the exponential form?

Y = Ck^x

The relationship is not linear but exponential.

The correct answer is the Additive rate of change.

To learn more about the independent and dependent variables visit:

https://brainly.in/question/5672653

#SPJ1

6
b
160°
45°
Find a, b, and c.
A. a = 12,6 = 673,c=316
B. a = 12,6 = 1213,c=31/6
C. a = 6/3,6 = 12,C= 612
D. a=6x3,6 = 12-/3,c=ba/2

Answers

Answer:

C. a = 6√3, b = 12, c = 6√2

Step-by-step explanation:

First let's find b using the cos. The cos is the adjacent side if the angle divided by the hypotenuse. We know the value of the adjacent side and we know that cos(60°) = 1/2 = 0.5:

cos(60°) = 6/b

0.5 = 6/b

b = 6/0.5

b = 12

Now we can find a using the Pythagorean theorem:

b² = 6² + a²

12² = 6² + a²

144 = 36 + a²

a² = 144 - 36

a² = 108

a = √108

a = 6√3

And now we can find c using cos again:

cos(45°) = c/b

√2/2 = c/12

c = 12•√2/2

c = 6√2

Help me besties

Find the measure of each angle in a regular 55 sided polygon.

Answers

[tex]a =\dfrac{180\cdot(n-2)}{n}\\~\\a = \dfrac{180\cdot(55-2)}{55}\\~\\a = 173^{\circ} \text{ }27'\text{ }16''[/tex]

what is the estimate product of 345 and 34?​

Answers

Answer:

7000

Step-by-step explanation:

Translate the following phrase to a mathematical expression, and then evaluate the expression for n = 24.
the quotient of a number and four

O 4 n; 96
O n / 4; 6
O 4 / n; 7
O n / 4; 28​

Answers

Answer:

B. n / 4; 6

Step-by-step explanation:

Let

n = the unknown number

the quotient of a number and four

= n/4

When n = 24

The expression becomes

= n/4

= 24/4

= 6

B. n / 4; 6

Answer:

I am a boy all bad girls co me.

roi-dfwr-bxc

Find value of angle w

Answers

Answer:

w = 134°

Step-by-step explanation:

w and 46° are adjacent angles and sum to 180° , that is

w + 46° = 180° ( subtract 46° from both sides )

w = 134°

Answer:

134 degrees

Step-by-step explanation:

These are known as supplementary angles, or two angles that add up to 180 degrees. We know they add up to 180 degrees because they both lie upon the same straight line.

Using this information, we can take:

180 = 46 + w

134 = w

134 degrees

Find a​ point-slope form for the line with slope 1/5 and passing through the point ​(-6,-4)

Answers

Answer:

(y +4) = 1/5( x +6)

Step-by-step explanation:

Point slope form is

(y-y1) = m(x-x1) where m is the slope and (x1,y1) is a point on the line

(y - -4) = 1/5( x - -6)

(y +4) = 1/5( x +6)

Santos is a lifeguard and spots a drowning child 50 meters along the shore and 60 meters from the shore to the child. Santos runs along the shore for a while and then jumps into the water and swims from there directly to the child. Santos can run at a rate of 4 meters per second and swim at a rate of 0.9 meters per second. How far along the shore should Santos run before jumping into the water in order to save the child

Answers

Answer:

Santos should run approximately 36.145 meters along the shore

Step-by-step explanation:

The given parameters are;

The distance along the shore of the child = 50 meters

The distance from the shore of the child = 60 meters

The rate at which Santos can run = 4 m/s

The rate he can swim = 0.9 m/s

Let 'x' represent the distance he runs along the shore

We have;

The time he spends running on the shore, t₁ = x/4

The time he spends swimming, t₂ = (√(60² + (50 - x)²)/0.9

The total time, T = t₁ + t₂ = x/4 + (√(60² + (50 - x)²)/0.9

To find the maximum, we have;

dT/dx = 0 = d(x/4 + (√(60² + (50 - x)²)/0.9)/dx = 1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

Simplifying using a graphing calculator gives;

[tex]\dfrac{x - 2000}{9} = \sqrt{x^2-100\cdot x+6,100}[/tex]

1519·x² - 151900·x + 3505900 = 0

x = (151900 ± √((-151900)² - 4×1519×3505900))/(2 × 1519)

x ≈ 63.86 m or x ≈ 36.145 m

We note that the distance from a point x = 63.83 meters and 36.145 meters from where Santos spots the girl to the location of the girl are the same

Therefore, Santos should run approximately 36.145 meters along the shore before jumping into to the water in order to save the child

A woman went shopping and spent 2/7 of all the money she had. Then she lost 2/5 of what she had left after shopping. How much money did hse. have before she went shopping if she now has $15.00. BTW I need to know ASAP pls.

Answers

Answer:

$35

Step-by-step explanation:

1-2/7=5/7 (remaining money left after shopping)

2/5×5/7=2/7 (amount of money lost)

5/7-2/7=3/7 (amount of money she has now)

3/7=$15

1/7=$5

7/7=$35

Hence, total amount of money she has before she went shopping=$35

hope it helps:))))

A right triangle as shown below

Answers

Answer:

sin a = 7/25

cos a = 24/25

tan a = 7/24

Step-by-step explanation:

Trig. How wonderful. I get tripped up on these types of problems some times, so I decided to try to help! To start, write out the three ratios.

SOH (sine=opposite/hypotenuse) CAH (cosine=adjacent/hypotenuse) TOA (tangent=opposite/adjacent)

Then, label the triangle with “hypotenuse” “adjacent” and “opposite.” This helps us correctly use and find the raitos. Then, use these ratios to find out the ratios of A!

sin a = 7/25

cos a = 24/25

tan a = 7/24

If needed, just divide the ratios to get their decimal form!

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