A train moves at a constant speed of 60 miles per hour for 2 hours. It stops for 30 minutes to allow for the herd of cows to cross. It resumes moving at 30 miles per hour for the remaining one hour until it reaches its destination. Write using only numbers separated by commas the amount of distance traveled by 0 hours, 2 hours, 2.5 hours, and 3.5 hours in that order. Example answer format: 1, 3, 5, 7, 9 1,3,5,7,9 Be consistent with your spacing. Either put a space after each comma or put no spacing at all.

Answers

Answer 1

Answer:

0 , 120 , 120 , 150

Step-by-step explanation:

Lets consider in step by step

For Time = 0 hours

At t= 0, the train has not moved from its initial spot. The amount of distance travelled by train is 0

For Time = 2 hours

The train is travelling at a constant speed of 60 miles per hour. As the train travels for 2 consecutive hours at the same speed without stopping, it means that it covers a distance of 60 miles in 1st hour and another 60 miles in 2nd hour. Total distance covered is 120 miles.

For Time = 2.5 hours

The train stops after 2 hours and remain at the same place for 30 mins. So, after 2.5 hours the distance remains the same i.e 120 miles , as the train was stopped.

For Time = 3.5 hours

After 2.5 hours, train travels at a speed of 30 miles per hour. Which means that it covers another 30 miles to reach the destination.

Total Distance covered = 120+30 = 150 miles


Related Questions

plz help plzzz thank you​

Answers

Answer:

rectangles

Step-by-step explanation:

convenient to use rectangles for the individual areas because they will combine horizontally and vertically to make larger rectangles with no gaps.

I will give brainliest answer

Answers

Answer:

≈ 93.06 cm²

Step-by-step explanation:

Subtract the area of the rectangle from the area of the circle

area of circle = πr² = π × 8² = 64π cm²

area of rectangle = 12 × 8 = 108 cm²

Thus

shaded area = 64π - 108 = 201.062 - 108 ≈ 93.05 cm² ( nearest hundredth )

Answer:

The area of the shaded region = area of the circle - area of the rectangle

area of circle = πr² = π × 8² = 201.14 cm²

area of rectangle = 12 × 2 = 24 cm²

shaded area = 201.14 - 24 ≈ 177.14 cm²

A grocery store has 45% of its carts being used. Which ratio compares the used carts with all the carts that the store has? A. 10:100 B. 45:55 C. 55:100 D. 9:20

Answers

Answer:

D

Step-by-step explanation:

45%=[tex]\frac{45}{100}[/tex]

[tex]\frac{45}{100}[/tex] is equal to [tex]\frac{9}{20}[/tex]

so D

HOPE THIS HELPS

Answer: 9:20

Step-by-step explanation:

45% if carts used from the 100%

Ratio will be 45:100 = 9:20

1) A microbiologist measures the length of a bacterium of 0.000163 m and the

length of yeast as 0.0087 mm.

a) Which is longest? (Hint: Both must be the same units)

b) How much longer is the longer specimen than the shorter specimen?

Answers

Answer:

a) The bacterium is longer;

b) The bacterium is 0.1543 mm longer than the yeast.

Step-by-step explanation:

In order to compare the length of the two beings we need to convert them to the same unit. We can do it either way, but we'll choose to convert from meters to milimetres, since we're dealing with small numbers. To do that we need to multiply the length that is in "m" by 1000.

[tex]length_{bac} = 0.000163*1000 = 0.163 \text{ mm}[/tex]

a) The bacteria is longer than the yeast.

b) We need to subtract their length in order to find this answer:

[tex]\text{dif} = length_{bac} - length_{yeast}\\\text{dif} = 0.163 - 0.0087 = 0.1543 \text{ mm}[/tex]

If Tim Cook, CEO of Apple wants to make a list of the employees who are above 40, what process he will use? Option: 1.Data query 2.data sorting 3.data compiling

Answers

The answer is 2 data sorting

I NEED HELP QUICK! PLEASE

Answers

Answer:

(a, 0), (0, b), (-a, 0), (0, - b)

Step-by-step explanation:

Since, all vertices of the rhombus lie in the x and y axes.

x - axis is given by a and y - axis is given by b.

Therefore, coordinates of vertices lying on x - axes will be (a, 0) & (-a, 0) and coordinates of vertices lying on y - axes will be (0, b) & (0, - b).

n
Which expression has twice the value of 2-2.2-2.2?

Answers

Answer:

2^5

explanation:

I did this already man this is easy

Determine the quotient of (7.7x10^-2) divided by (2.2x10^-2

Answers

Answer:

3.5 is your answer.

Step-by-step explanation:

(7.7x10^-2) divided by (2.2x10^-2

Just *Divide*

Hope this helps.

: )

Solve the equation shown below.

1/2x−6=4

x =−4

x=−2

x=10

x=20

Answers

1/2x - 6 = 4
Add 6 to both sides.
1/2x = 10
Multiple each side by 2/1 (reciprocal) to get x by itself.
x = 10 * 2/1
x = 20

Final answer: x = 20

Hope this helped!

Answer:

x = 20

Step-by-step explanation:

→Add 6 to both sides:

[tex]\frac{1}{2} x-6=4[/tex]

[tex]\frac{1}{2} x=10[/tex]

→Multiply both sides by 2:

x = 20

PLEASE HELP! ITS DUE TODAY!

Answers

U got this just use the process of elimination to lower your odds of getting it wrong, I believe in you!

Answer:

D. Median

Step-by-step explanation:

I say this because  is the average of the numbers

1. If u were to draw a tree diagram showing all the possible outcomes for rolling a six sided die twice, how many total outcomes would there be

1. 6
2. 12
3. 36

2. Rick is deciding what to wear to school. He has two different shirts, two different pants, and two different pairs of shoes to choose from. How many different outfit combinations does Rick have to choose from

1. 6
2. 8
3. 16

Answers

1. 2). 2. 1) 3 * 2 =6

у – бх — 11
— 2x — Зу = -7

Answers

Answer: -2y -8x = 4

Step-by-step explanation:

y - 6x - 11 - 2x - 3y = -7

y -3y -6x -2x = -7 +11

-2y -8x = 4

What is the solution to the equation 7(a – 10) = 13 – 2(2a + 3)?
a = StartFraction 26 Over 11 EndFraction
a = 7
a = StartFraction 89 Over 11 EndFraction
a = 621

Answers

Answer:

a=7

Step-by-step explanation:

7(a – 10) = 13 – 2(2a + 3)

Open the bracket

7a-70=13-4a-6

Collect like terms

7a+4a=13-6+70

11a=77

divide both sides by 11

11a/11=77/11

a=77/11

a=7

When a number is decreased by 5%, the result is 20. What is the original number to the nearest tenth?

Answers

Step-by-step explanation:

so round up is b equal a plus 10....

Find the missing side. Be sure to show all of your work. Round to the nearest tenth
if necessary

Answers

Answer:

x=3.9 approximately

Step-by-step explanation:

Using Pythagorean theorem:

[tex]x^{2} + (5x)^{2} = 20^{2}[/tex]

[tex]x^{2} + 25x^{2} = 400[/tex]

26x^2 =400

x^2 = 15.3846

x=3.9

General Formulas and ConceptsAlgebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityGeometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a legb is another legc is the hypotenuse

ApplicationStep 1: Define

Let's define what the problem gives us:

We are given a right triangle, indicated by the square box inside the triangle, with side lengths 5x and x and a hypotenuse of 20.

We can set these measurements equal to our variables defined above in our Pythagorean Theorem equation:

a = 5xb = xc = 20

Step 2: Work

Now, we can substitute our variables and solve for x, which will help us find the side lengths as well:

[Pythagorean Theorem] Substitute in variables:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\\end{aligned}[/tex][Order of Operations] Simplify:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\\end{aligned}[/tex][Simplify] Combine like terms:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\\end{aligned}[/tex][Equality Properties] Divide both sides by 26:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\x^2 & = \frac{200}{13} \\\end{aligned}[/tex][Equality Properties] Square root both sides:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\x^2 & = \frac{200}{13} \\x & = \sqrt{\frac{200}{13}} \\\end{aligned}[/tex][Simplify] Evaluate:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\x^2 & = \frac{200}{13} \\x & = \sqrt{\frac{200}{13}} \\& = \frac{10 \sqrt{26}}{13}\end{aligned}[/tex][Evaluate] Approximate:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\x^2 & = \frac{200}{13} \\x & = \sqrt{\frac{200}{13}} \\& = \frac{10 \sqrt{26}}{13} \\& \approx \boxed{3.9} \\\end{aligned}[/tex]

∴ our x approximately equals 3.9.

Now we can use our value of x to solve for the missing triangle lengths:

Length of 5x:

Substitute in x:
[tex]\displaystyle\begin{aligned}\text{Side Length} & = 5x \\& = 5(3.9) \\\end{aligned}[/tex]Evaluate:
[tex]\displaystyle\begin{aligned}\text{Side Length} & = 5x \\& = 5(3.9) \\& = \boxed{19.5}\end{aligned}[/tex]

∴ this particular side length has a length of 19.5.

Length of x:

Substitute in x:
[tex]\displaystyle\begin{aligned}\text{Side Length} & = x \\& = \boxed{3.9}\end{aligned}[/tex]

∴ this particular side length has a length of 3.9.

Answer

∴ the side lengths of this particular triangle are 19.5 and 3.9, respective to their variables 5x and x.

___

Learn more about Triangles: https://brainly.com/question/20094559

Learn more about Geometry: https://brainly.com/question/16909531

___

Topic: Geometry

Unit: Triangles

this table shows values that represent an exponential function.what is the average rate of change for this function for the interval from x=1 to x=3

Answers

Answer: -4

Step-by-step explanation:

Please I need help with this tooo.....will give 5 start and brainlist....

Answers

i don’t know sorry but try googling the answer

HELP PLEASE I NEED HELPPPP
What is the sign of....

a x (-b/b)
when a =0 and b<0

A. positive
B. negative
C. zero

THIS IS ON KHAN ACADEMY AND I DONT GET IT IF U ANSWER ILL GIVE YOU BRANLIEST AND 100 points PLEASE JUST HELP MEH

Answers

Answer:

C. zero

Step-by-step explanation:

a * (-b/b)

-b/b = -1

a* -1

If a = 0 then

0 * -1 = 0

Answer:

0

Step-by-step explanation:

pls give brainliest

Given:
AC – AR
<1 = <2
Prove:
<3 =<4

Answers

Answer:

ΔCTA ≅ ΔDRA

Step-by-step explanation:

Triangles CTA and DRA are congruent by ASA postulate. This is because:

∠1 ≅ ∠2 (given)AC ≅ AR (given)∠A is the same for both triangles (they are opposite angles)

Then, correspondent angles and sides are congruent, for example, ∠3 ≅ ∠4

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answers

Answer:

(40/3)*pi

Step-by-step explanation:

lets first find the area of the little circle

A=pi*r^2

A=pi*3^2

A=9pi

Now, lets find the area of the big circle

A=pi*r^2

A=pi*(3+4)^2

A=pi*7^2

A=49pi

now lets subtract the area of the little circle from the area of the big circle

49pi-9pi=40pi, now we found the area of the "bagel)

lets find what portion of the bagel is the shaded region

120/360=1/3

now lets multiply the bagel area by the fraction

40pi*(1/3)=

(40/3)*pi   or  (40*pi)/3

Area of the shaded regions is equal to 7π/3

What is the area and circumference of a circle?

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: radius of the smaller circle= 3 and larger circle =4 cm

Now A = (θ/360°) × πr2

θ is the sector angle subtended by the arcs at the center (in degrees), r is the radius of the circle. If the subtended angle θ is in radians, the area is given by, A = 1/2 × r² × θ.

Thus we have  Area ADBC= 1/2 × 16×2π/3 -1/2×9×2π/3

                                              =16π/3 -3π

                                               =7π/3

Hence, Area of the shaded regions is equal to 7π/3

Learn more about circle here:

https://brainly.com/question/14200825

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What is the slope of -2x+ 5y = 10?

Answers

Answer:

the rise is 2 and the run is 5

Step-by-step explanation:

2/5

Answer:

Step-by-step explanation:

the slope is = 2/5

the y-intercept = 2

a model of a plane is made using a scale of 1:5 if the real length of a plane is 20m what is the length of the model?

Answers

Answer:

4

Step-by-step explanation:

you must scale down to size- 1 m in real life = 5 (unit) in the model

20/5= 40

hope this helps :)

Answer:

4m

Step-by-step explanation:

1/5 of 20

PLEASE HELP ME!! I WILL MARK BRAINLIEST, PLEASE ANSWER ALL 4 QUESTIONS BELOW ABOUT THE MATHEMATICAL EQUATION!

y = 595(1.075)x

1. What is the starting amount?
2. What is the growth factor?
3. What is the growth rate?
4. How many factors are in the equation?

Answers

Step-by-step explanation:

The starting amount is the coefficient of the exponent which is 595.

The growth factor is 1.075 and the growth rate would be 7.5%.

There are 2 factors in the equation.

What are the coordinates of the center of the hyperbola with equation (x-2)^2/4^2-(y+3)^2/5^2=1

Answers

Answer: (6, -3)

(x^2-4x+4)/16-(y^2+6y+9)/25 = 1

x = 6

y = -3

6^2 = 36

4 * 6 = 24

36 - 24 = 12

12 + 4 = 16

16/16 = 1

-3^2 = 9

6 * -3 = -18

9 - 18 = -9

-9 + 9 = 0

0/25 = 0

1 - 0 = 1

I really hope this helped, at least a little bit.

The coordinates of the center of the hyperbola is  (6,-3).

What is hyperbola?

Hyperbola is a type of "smooth curve, lying in the plane defined by its geometric properties or by the equation for which it is in solution set".

According to the question,

[tex]\frac{(x-2)^2}{4^2}[/tex]  -  [tex]\frac{(y+3)^2}{5^2}[/tex] = 1

Standard form of hyperbola = [tex]\frac{(x-k)^2}{a^2}[/tex]  -  [tex]\frac{(y-h)^2}{b^2}[/tex]  = 1.

The expression 'y' is positive leading coefficient so the hyperbola so the hyperbola is open upward and downward . Comparing with standard equation we get center of hyperbola (2,-3) and 'a' point the hyperbola is 4 and the 'b' point of hyperbola is 5 and mark point 5 unit right as well as left on x-axis and 4 unit up and down on y-axis.

From above discussion we get clearly the coordinate of hyperbola is

(6-3).

Learn more about hyperbola here

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If b = the number of baseballs which algebraic expression represents the phrase below the number of baseballs minus 3 lost during practice

Answers

Answer: B

Explanation: Baseballs(b) minus 3 which is b-3

the answer is B. sans and ends

If a vendor sells an item he bought for Rs. 500 such that he earns a profit of 20%, determine the selling price of the item.

Answers

First find the 20% of 500, then add your answer to the normal price to get the selling price.

Hope this helps ya

The value of x in 5(8+x)=20

Answers

Answer:

x = -4

Step-by-step explanation:

5(8+x)=20

Divide each side by 5

5/5(8+x)=20/5

8+x = 4

Subtract 8 from each side

8+x-8  = 4-8

x = -4

The right answer is -4.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Please help
will give brainliest (if I can)
If the intercepts of a line are (a, 0) and (0, b), what is the slope of the line?

Answers

Answer:

a−b=aa=1

Step-by-step explanation:

Since the graph of the linear function f has intercepts (a,0) and (0,b), the two points satisfy the function. Therefore, the slope becomes a−b=aa=1, which is positive.

This diagram shows a right cylinder. Recall that the area of
a circle is A = ar?. What is the formula for the volume of
the cylinder?

Answers

Answer:

A=Pi x radius x height+2 x pi x radius^2

Step-by-step explanation:

Answer:

Sample answer

Which of the following relations is a function? A.{(0,2),(1,2),(2,2),(3,2)} B.{(2,0),(2,1),(2,2),(2,3)} C.{(3,5) ,(4,7),(5,9),(5,11)} D. {(4,5),(6,7),(8,9),(8,11)}

Answers

Answer:

the answer is A

Step-by-step explanation:

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These costs could be up to 20 percent higher or lower than the estimate of $2 million. Assume that the construction costs would follow a triangular distribution. ADC is very uncertain about the annual operating profits (or losses) that would be generated once the hotel is constructed. Its best estimate for the annual operating profit that would be generated in years 2, 3, 4, and 5 is $700,000. Due to the great uncertainty, the estimate of the standard deviation of the annual operating profit in each year also is $700,000. Assume that the yearly profits are statistically independent and follow the normal distribution. After year 5, ADC plans to sell the hotel. The selling price is likely to be somewhere between $4 and $8 million (assume a uniform distribution). ADC uses a 10 percent discount rate for calculating net present value. (For purposes of this calculation, assume that each year's profits are received at year-end.) 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