A bus traveled on a level road for 2 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 4 hours. Find the average speed on level road of the entire trip was 310 miles

Answers

Answer 1

Answer:

The average speed on level road is 65 mph

Step-by-step explanation:

Let the speed on the winding road be x mph

So the speed on the straight road will be x +20 mph

Mathematically, distance = speed * time

Distance on level road will be;

(x + 20)2

Distance on winding road will be;

x* 4 = 4x

Thus, we have;

2(x + 20) + 4x = 310

2x + 40 + 4x = 310

6x + 40 = 310

6x = 310 - 40

6x = 270

x = 270/6

x = 45 mph

The average speed on the level road is x + 20

That will be 45 + 20 = 65 mph


Related Questions

How can you tell if an element has been oxidized?
A. Its oxidation state has not changed in the reaction.

B. Its oxidation state is higher in the product than in the reactant

C. Its oxidation state is lower in the product than in the reactant.

D. It has a negative oxidation state in the product.​

Answers

Step-by-step explanation:

B. Its oxidation state is higher in the product than in the reactant

Two pieces of molding 2 1/8 inches and 2 1/8 inches long are placed end to end. What is the total length of the two pieces of molding together?

Answers

Answer:

1 hole 2 1/8 and 2 1/ 8 you add them together and it equal 1 hole

i need help with math

Answers

I believe that is a corresponding angle. Hope this helps!

In quadrilateral ABCD, \angle A=5x+20,\angle B=3x-30,\angle C=2x+10,and\angle D=8x.∠A=5x+20,∠B=3x−30,∠C=2x+10,and∠D=8x. Find the value of Angle B.

Equation:
x=
angle b=

Answers

Answer:

Equation: (5x + 20) + (3x - 30) + (2x + 10) + 8x = 360

x = 20

Angle B = 30°

Step-by-step explanation:

Given:

<A = 5x + 20

<B = 3x - 30

<C = 2x + 10

<D = 8x

Sum of interior angles of a quadrilateral = 360°

Therefore:

<A + <B + <C + <D = 360°

(5x + 20) + (3x - 30) + (2x + 10) + 8x = 360

Solve for x

5x + 20 + 3x - 30 + 2x + 10 + 8x = 360

Collect like terms

5x + 3x + 2x + 8x + 20 - 30 + 10 = 360

18x = 360

Divide both sides by 18

x = 360/18

x = 20

<B = 3x - 30

Plug in the value of x

<B = 3(20) - 30 = 60 - 30

<B = 30°

Y=8x+9
Give slope(m)
Parallel slope
Perpendicular slope

Answers

Answer:

the slope is 8

Step-by-step explanation:

the slope is x not sure if its parallel of perpendicular but is i had to gues id guess parallel

Answer:

the slope is 8

the parallel slope is 8

the perpendicular slope is -1/8

Twenty percent of the town's population is over the age of 65. If there are 320 residents over the age of 65, what is the town's total population?

Answers

Answer:

65

Step-by-step explanation:

I think. hope this hepls

Answer:

There are 1600 residents.

Step-by-step explanation:

0.2 times x = 320  divide by 0.2

x = 1600

What is this what is m

Answers

I think I’m positive but I could be right

Which cannot be the angle measurements of triangle ABC? OmZA = 55°, mZB = 65°, mZC = 60°
OmZA = 60°, mZB = 60°, mC = 60°
MZA= 57°, MZB = 58°, mZC = 65°
MZA = 61°, mZB = 57°, mZC = 61°​

Answers

Answer:

D. m<A = 61°, m<B = 57°, m<C = 61°

Step-by-step explanation:

The sum of all interior angles of a triangle is always equal to 180°.

Therefore, any set of given angle measurement of a triangle should sum up to 180°.

From the options given, the following angle measurements given in option D,

,m<A = 61°, m<B = 57°, m<C = 61° cannot be angle measurements of ∆ABC. This is because they sum up to give 179° instead of 180°.

Answer:

The answer is D

Credits to the person above me.

; )

Step-by-step explanation:

EDGE 2021

cruise ship wave 176 miles in 8 hours
18 miles per how

Answers

Answer:

22 mph

Step-by-step explanation:

blablablablablablablabla

Answer:

22 miles

Step-by-step explanation:

please have and great day and btw you are loved ok  have a great day byee!!

Mattie Evan's drove 100 miles in the same amount of time that it took a turbo turbopropeller plane to travel 500 miles. The speed of the plane was 200 mph faster than the speed of the car. Find the speed of the plane.

Answers

200 :) hehehehehehheh

Answer:250

Step-by-step explanation:Answer:


100/r=500/r+200=50

50+200 =250

What is 3,350,000 in scientific notation?

Answers

Answer:

10^4 or 3.5

Step-by-step explanation:

What is the interest you will pay if you borrowed $900 at 10% interest for 2 years?

Answers

$180

Step-by-step explanation

(900 x 2 x 10) / 100

=18000 / 100 = 180

=$180

The interest need to pay is $180.

What is Simple Interest?

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

Given:

P = $900

R= 10%

T = 2 years

Using Simple Interest

SI = ( PRT)/100

SI = 900 x 10 x 2 /100

SI = 180

Hence, the interest is $180.

Learn more about Simple Interest here:

https://brainly.com/question/25845758

#SPJ2

Please help out with this worksheet please i would appreciate it

Answers

Answer:

1. slope: (y2-y1)/(x2-x1)

(6,38), (9,32)

(32-38)/(9-6) = -6/3 = -2

38 = -2(6) + b

38 = -12 +b, b = 50

y = -2x + 50

2a. Slope = -80, the slope means how many cars left per hour after closing. Y- intercept = 600, cars in lot during closing.

2b. use the equation: y = -80x + 600

Plug in 3 into the equation

y = -80(3) + 600, y = -240 + 600, y = 360 cars

2c. For it to have 0 cars, plug in 0 for y

0 = -80x + 600

-600 = -80x, solve for x

x = 7.5 hours

first to answer correct gets brainliest

Answers

Answer:

64-6=x

Step-by-step explanation:

Yesterday, there were 90 problems assigned for math homework. Ken got 27 out of 90
problems correct. What percentage did Ken get correct?

Answers

Answer:

yo mama

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

27/90=0.3

0.3=30%

The diagram compares the ratio of girls in the chorus to boys in the chorus. What is the ratio of girls to boys? If there are 30 students in the chorus, how many are girls and how many are boys.

girls 3 parts
boys 2 parts

Answers

Answer:

it should be girls 12 to 18

Step-by-step explanation:

i just messed around with a calculator and found it.

Use the figure on the right to find the length of DC.

Answers

Answer:

this is the figure btw

Step-by-step explanation:

Using a Table of Values to Find a Solution to a System

a) Complete the table below to solve the equation 2.5x-10.5=64(0.5)x.

x f(x)=2.5x-10.5 g(x)=64(0.5)x
2
3
4
5
6




b) Give the solution for the equation:

Answers

Answer:

This problem wants you to substitute the answers from the table into the equation to find the solution, which is when the input gives the same output basically.

f(x) = 2.5x -10.5                          g(x) = 64(0.5)^x

when x= 2...                                when x= 2...

f(2) = 2.5(2) - 10.5                        g(2) = 64(0.5)^2

f(2) = 5 - 10.5 = -5.5                     g(2) = 64(.25)= 16

when x= 3...                                 when x= 3...

f(3) = 2.5(3) - 10.5                         g(3) = 64(0.5)^3

f(3) = 7.5 - 10.5 = -3                      g(3) = 64(0.125) =8

when x= 4...                               when x = 4...

f(4) = 2.5(4) - 10.5                       g(4) = 64(0.5)^4

f(4) = 10 - 10.5 = -0.5                  g(4) = 64(0.0625) = 4

when x= 5...                               when x= 5...

f(5) = 2.5(5) - 10.5                      g(5) = 64(0.5)^5

f(5) = 12.5 - 10.5 = 2                   g(5) = 64(0.03125) = 2

when x= 6...                               when x = 6...

f(6) = 2.5(6) - 10.5                       g(6) = 64(0.5)^6

f(6) = 15 - 10.5 = 4.5                   g(6) = 64(0.015625) = 1

Find the quotient
2/3 divided by 3 = _

Answers

Answer:

2/9 should be the answer.

Step-by-step explanation:

In this example, the first thing we have to do is convert 3 to a fraction so that we can work with it, so 3 with turn into 3/1. Now we set up the problem using the keep change flip method. You 2/3 as it is, and you change the sign to multiplication. Then you flip the second fraction which is 3/1 to get 1/3. Now you have 2/3 x 1/3. Now multiply them and simplify if possible.

2/9 I think so correct me if am wrong

Find the values of a and b such that x² - 2x + 2 = ( x - a )² + b

Answers

Answer:

a = b = 1

Step-by-step explanation:

x² - 2x + 2 = ( x - a )² + b

x² - 2x + 2 = ( x² - 2x + 1) - 1 + 2 = (x - 1)² + 1

a = b = 1  

A bakery sold a total of 380 cupcakes in a day, and 209 of them were mocha flavored. What percentage of cupcakes sold that day were mocha flavored? 1​

Answers

Answer:

1.71% were mocha flavored

Step-by-step explanation:

380-209=171

171* 100=1.71%

Answer:

55%

Step-by-step explanation:

Write in slope-intercept form an equation of the line that passes through
the given points. (0, 1) (2, 4 )

Answers

Step-by-step explanation:

m= (4-0)/(2-1)

=4

y-int=1

y=mx+c

y=4x+1

Question 1 The number of books Annie reads in a month increased from 8 books to 16 books. By what percentage did the number of books she reads increase ?

Answers

Answer:

Very easy Bud

Step-by-step explanation:

Nope

How many elements are in this equation:Mg2N3? ​

Answers

Answer:

there are 2 Magnesium and Nitrogen

Step-by-step explanation:


For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of 0.4013 of supporting the claim that 6 hours of sloep when the actual population
mean is 4.5 hours of sleep. Interpret this value of the power, then identify the value of B and interpret that value
Interpret this value of the powers

Answers

Answer:

b

Step-by-step explanation:

I kind of don’t get this could someone explain and answer this question I would really appreciate :)

Answers

Answer:

its the fourth one

sts3ps oe

Answer:

the first picture A.

Step-by-step explanation:

Vertical angles are just two angles that lie across from each other. The other 3 pictures are referring to adjacent angles which are two angles that lie directly next to each other.

A company has a manufacturing plant that is producing quality jackets. They find that in order to produce 150 jackets in a month, it will cost $5500. Also , to produce 370 jackets in a month , it will cost $8580 . Find an equation in the form y = mx + b , where is the number of jackets produced in a month and y is the monthly cost to do so.

Answers

Answer:

[tex]y = 14x + 3400[/tex]

Step-by-step explanation:

Represent

- number of jackets with x

- costs of jackets with y

So, we have:

[tex](x_1,y_1) = (150,5500)[/tex]

[tex](x_2,y_2) = (370,8580)[/tex]

Required

Write an equation in form of y = mx + b

First, we need to determine the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{8580 - 5500}{370 - 150}[/tex]

[tex]m = \frac{3080}{220}[/tex]

[tex]m = 14\\[/tex]

The equation is calculated using:

[tex]y-y_1 = m(x - x_1)[/tex]

Where

[tex]m = 14\\[/tex]

[tex](x_1,y_1) = (150,5500)[/tex]

So, we have:

[tex]y - 5500 = 14(x - 150)[/tex]

[tex]y - 5500 = 14x - 2100[/tex]

Make y the subject

[tex]y = 14x - 2100 + 5500[/tex]

[tex]y = 14x + 3400[/tex]

which expression is equivalent to mn+z​

Answers

D is the answer....see the attachment

Every year, the value of a property in singapore appreciates by 15% of its value in the previous year. If the value of the property was $899300 in 2012, find ite value in 2010.

Answers

Answer:

629 510$

Step-by-step explanation:

$899300 - (30% of $899300)

cuz its two years away from 2010 so it will have gone up 30 % so to rewind time, just go back 30%

Answer:

649744.25

Step-by-step explanation:

899300-15%-15%=649744.25

30/90 del número de plantas en un cultivo de caña está contaminada. De estas, el 1/2 ha sido tratada. ¿Cual es la fracción del número de plantas del cultivo que no ha sido tratada?

Answers

Answer:

1/6

Step-by-step explanation:

De la pregunta, sabemos:

30/90 del número de plantas de un cultivo de caña está contaminado.

30/90, simplificamos aún más

30/90 => 3/9 => 1/3

De estos, la mitad han sido tratados.

La fracción de los cultivos tratados son:

1/2 de 3/9 = 1/2 × 1/3

= 1/6

La fracción del número de plantas del cultivo que no ha sido tratada se calcula como:

1/3 - 1/6

El mínimo común denominador es 6

= (2 × 1) - (1 × 1) / 6

= 2 - 1/6

= 1/6

Usando proporciones, se encuentra que la fracción del número de plantas del cultivo que no ha sido tratada es [tex]\mathbf{\frac{5}{6}}[/tex]

Las plantas que no han sido tratadas son:

Las que non estan contamidas(6/9 de el total).1/2 de las contaminadas(1/2 de 3/9).

Por eso, la proporción total es dada por:

[tex]\frac{6}{9} + \frac{1}{2}\frac{3}{9} = \frac{6}{9} + \frac{3}{18} = \frac{12}{18} + \frac{3}{18} = \frac{15}{18} = \frac{5}{6}[/tex]

La fracción del número de plantas del cultivo que no ha sido tratada es [tex]\mathbf{\frac{5}{6}}[/tex]

Un problema similar es dado en https://brainly.com/question/25377229

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