A bus took a six hour trip and traveled 225 miles. The speed was 40 mph for the first part of the trip, and then decreased to 25 mph for the second part of the trip. How many hours were traveled at each speed?

Answers

Answer 1

Answer:

The bus traveled at 40 mph for 5 hours, and at 25 mph for the last hour.

Step-by-step explanation:

The time for the first part is t.  Therefore the time for the second part if (6-t).

40t + 25 (6-t) = 225

40t + 150- 25t = 225

15t = 75

t=5


Related Questions

6x² – x=2
Factor and solve

Answers

Answer:

x=2/3 or x=−1/2

Step-by-step explanation:

6x²−x=2

6x²−x−2=2−2

6x²−x−2=0

(3x−2)(2x+1)=0

3x−2=0 or 2x+1=0

x=2/3 or x=−1/2

4.
(03.01 MC)
Which expression is equivalent to 56 + 21? (1 point)

7(49 + 14)
8(7 + 21)
8(48 + 13)
7(8 + 3)

Answers

It’s gonna be 7(8+3) you use distributive property so it’ll be the same as 56+21

. "A number is less than or equal to -11.".

Answers

Answer:

x <(with a line underneath the carrot) -11

Step-by-step explanation:

Hope this helps! Could not find the symbol.

The inequality for x which is less than or equal to -11 is written as x ≤ -11 or  x + 11 ≤ 0.

What is inequality?

Inequality shows relation between two expression which are not equal to each others.

Let the required number is x.

In the given question,

Number x is less than or equal to -11.

The inequality for x which is less than or equal to -11 can be written as,

x ≤ -11

The inequality can be further simplified as,

⇒x + 11 ≤ 0

The inequality for x is x + 11 ≤ 0.

To know more about Inequality on:

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whats 2+2 brainliest

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

y= -2x+8
what is the value of y when 0 is the value of x?

Answers

Value of y is 8 because if x is zero than zero times anything is zero and you have 8 left over

Not sure what you mean but will be explaining about y = 0 and x =0 anyway.

So for x = 0, that means the value of x is 0.

y = -2(0)+8

y=0+8

y=8

So when x = 0, the value of y is 8 (y = 8) or we can write (0,8)

For y = 0, that means the value of y is 0.

0=-2x+8

-8=-2x

-2x=-8

x=4

So when y = 0, x = 4. We can write as (4,0)

a dolphin in a aquaruim is 12 feet long. A scale model of the dolphin is 3 1/2 in long. What is the scale factor of the model

Answers

Answer:The scale factor= 1 : 41.14

Step-by-step explanation:

I did research on it

Find the general solution of the given system. Use a computer system or graphing calculator to construct a direction field and typical solution curves for the system

Answers

Answer:

hello your question is incomplete attached below is the complete question and solution

answer :  general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]

Step-by-step explanation:

attached below is the detailed solution to determine the general solution of the given system

general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]

Seven and nine thousands in decimal form

Answers

7.009 for sure

Jdjdnfnfjf

What is 2 + 2i in polar form?

Answers

Answer:
Attached photo


Here

The polar form of 2+2i is [tex]$2\sqrt{2}(\cos(\frac{\pi}{4}) + i\sin(\frac{\pi}{4}))$[/tex]

We are given that;

The complex number= 2+2i

Now,

To convert a complex number from rectangular form to polar form, we need to find its magnitude and argument.

The magnitude is the distance from the origin to the point (x, y) on the complex plane, and the argument is the angle between the positive x-axis and the line joining the origin and the point.

Using the Pythagorean theorem and the inverse tangent function, we get:

Magnitude = [tex]$\sqrt{x^2 + y^2}$[/tex]

Argument = [tex]$\tan^{-1}(\frac{y}{x})$[/tex]

Plugging in x = 2 and y = 2i, we get:

Magnitude = [tex]$\sqrt{2^2 + 2^2} = \sqrt{8} = 2\sqrt{2}$[/tex]

Argument = [tex]$\tan^{-1}(\frac{2}{2}) = \frac{\pi}{4}$[/tex]

Therefore, by pythagoras theorem answer will be [tex]$2\sqrt{2}(\cos(\frac{\pi}{4}) + i\sin(\frac{\pi}{4}))$[/tex].

Learn more about Pythagoras theorem;

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5. The highest temperature ever recorded, which was in California, was measured at an elevation of -179 feet. The lowest temperature ever recorded in California was at an elevation of 5,575 feet. What was the difference in the elevations?​

Answers

5754 ft. 5575 + 179 = 5754 Fr

Serens hits a ball 2x yards past the 150-yard marker with her 3-iron. Write an expression in terms of x that represents this distance

Answers

Answer:

150 + 2x

Step-by-step explanation:

Answer:

150+2x

Step-by-step explanation:

This is the answer on PLATO

Which expression is equivalent to 4x+6y-8x

Answers

Answer:The expression is 6y - 4x

Step-by-step explanation:

Answer:

-4x+6y

Step-by-step explanation:

4x+6y-8x4

(4x-8x)+6y

−4x+6y

Solve for x.
10x−3x+5=26

Answers

Answer:

x = 3

Step-by-step explanation:

10x−3x+5=26 (Given)

7x + 5 = 26 (Combine like terms)

7x = 21 (subtraction Property of equaity)

x = 3 (division Property of equaity)

Can someone salve this pleaseeeeeeeee

Answers

Answer:

x=3/2

Step-by-step explanation:

2(1/49)^x-2=14

The answer is 3/2

Answer:

x=3/2

Step-by-step explanation:

HELPPP! WHAT ARE THE X AND Y INTERCEPTS OF THIS LINE?​

Answers

Answer:

x-intercept=-1.2 y-intercept=-0.7

Step-by-step explanation:

Find the distance between E(5,3) and F(-4,3).

Answers

Answer:

3 - 3 = 0 units There is no distance, the points are in the same place.

Step-by-step explanation:

i need help asap D:

Answers

Answer:

F

Step-by-step explanation:

decimals are percentages and then fraction can be reduced into percentages so I did the math on all of them and f is the highest score

Natalie reads for 68 hour on 6 days each week.

How many hours does Natalie read each week?

Enter your answer by filling in the boxes.

Answers

Answer:

Multiply the time per day by the number of days per week.

6/8 x 6 = (6 x 6)/8 = 36/8 = 4 1/2 hours a week.

Step-by-step explanation:

Find the length of BD and EC.
A
D
9
8
B
с
BD =
EC =

Answers

i think BD is 16 and EC is 9. hope this helps

Could someone please guide me towards solving side x I know I have to use trig but I'm completely lost

Answers

Answer:

x = 33.13 units

Step-by-step explanation:

Let the altitude of the triangle be h units.

[tex] \sin 65 \degree = \frac{h}{31} \\ \\ 0.906307787 = \frac{h}{31} \\ \\ h = 0.906307787 \times 31 \\ \\ h = 28.0955414 \\ \\ \cos \: 32 \degree = \frac{h}{x} \\ \\ 0.8480480962 = \frac{28.0955414}{x} \\ \\ x = \frac{28.0955414}{0.8480480962} \\ \\ x = 33.1296556 \\ \\ x \approx 33.13 \: units[/tex]

Answer:

x = 23.7926

Step-by-step explanation:

Step 1

Find the length of vertical line segment, lets call it h. Use function cos

h/31 = cos 66°h = 31 * cos 66° = 31*0.4067 = 12.6077

Step 2

Find x using another function, sin

h/x = sin 32°x = h / sin 32°x = 12.6077 / 0.5299x = 23.7926

Find the simple interest on a $500.00 investment made for 3 years at an interest rate of 6% per year. ​

Answers

Answer:

SI=P ×R × T

Step-by-step explanation:

P=$500

R=6%

T=3 years

SI=500×3×6 ÷100

  =$90

write the equation of the line in standard form passing through (2,-4) with a slope of -7​

Answers

Answer:

7x+Y=-2

Step-by-step explanation:

(y-y1)=m(x-x1)

(Y+4)=-7(x-2)

Y+4=-7x+2

Y+7x=2-4

7x+Y=-2

Determine an expression for dy
dx given that x = sin3
(t)andy = cos3
(t)

Answers

Answer:

[tex]\frac{dy}{dx} =-\sqrt[3]{\frac{y}{x} }[/tex]

Step-by-step explanation:

Recall that using the chain rule we can state:

[tex]\frac{dy}{dt} =\frac{dy}{dx}*\frac{dx}{dt}[/tex]

and therefore solve for dy/dx as long as dx/dt is different from zero.

Then we find dy/dt  and dx/dt,

Given that

[tex]x=sin^3(t)\\dx/dt = 3 sin^2(t)* cos(t)[/tex]

And similarly:

[tex]y=cos^3(t)\\dy/dt=-3\,cos^2(t)*sin(t)[/tex]

Therefore, dy/dx can be determined by the quotient of the expressions we just found:

[tex]\frac{dy}{dx} =\frac{dy/dt}{dx/dt} =\frac{-3\,cos^2(t)*sin(t)}{3\,sin^2(t)*cos(t)} =-\frac{cos(t)}{sin(t)}[/tex]

now notice that we can find   [tex]cos(t) = \sqrt[3]{y}[/tex]  from the expression for y,

and   [tex]sin(t) = \sqrt[3]{x}[/tex]  from its expression for x.

Therefore dy/dx can be written in terms of x and y as:

[tex]\frac{dy}{dx} =-\frac{cos(t)}{sin(t)}=-\sqrt[3]{\frac{y}{x} }[/tex]

Simonne, Marco, and Evon were partners in
business. Simonne and Marco each received
twice as much of the profit as Evon received. If
the total profit was $1,800, how much did Evon
receive?

Answers

Evon got $450 .........

What is 15.23 rounded to the nearest hundredth

Answers

Answer:

15.20

Step-by-step explanation:

what kind of graph is this?

Answers

Answer:

Linear

General Formulas and Concepts:

Types of Graphs

LinearQuadraticExponentialCubicSquare rootCube root

Step-by-step explanation:

Whenever the graph is a straight line (either a diagonal or a horizontal, NOT a vertical line), it will always be linear.

What is the equation of the line that passes through the point (5,2) and has a slope
of -3/5

Answers

Answer:y = -0.6x + 5

Step-by-step explanation:

Answer:

yessir the one on top is right btw

Step-by-step explanation:

hope this helped


I need help with this can someone help me I have a few other ones as well I don’t understand anyone?

Answers

Answer:

x=59

Step-by-step explanation:

The sum of the interior angles of a triangle add up to 180 degrees.  That means that (x+12)+(x)+(x-9)=180 degrees in total.  If we combine the like terms (combine the xs and regular constant values), the xs add up to 3x (x+x+x) and the regular constants add up to 3 (12+-9=3).  If we rewrite this in a more simplified form, we get 3x+3=180.  Subtract 3 on both sides to get 3x=177 because we want to isolate x.  3x=177 divide 3 on both sides and we get 59.  x=59

In how many ways could a club of 29 appoint a committee of 4 people?

Answers

Answer:

7.25

Step-by-step explanation:

All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.
b
How many hours would it take to fill the order if the number of working machines increased by a factor of 2?

Answers

Answer: 11 hours

Step-by-step explanation:

22/2 = 11

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