Bus A and Bus B leave the bus depot at 4 pm.
Bus A takes 15 minutes to complete its route once and bus B takes 35 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.

Answers

Answer 1

Answer:

5:45pm

Step-by-step explanation:

Find the LCM of the time it takes each bus to complete its route

Prime factorization:

15=3×5

35=5×7

LCM=3×5×7=105

Therefore they'll be back at the bus depot together after 105minutes

Now 105minutes=1hour45minutes

4pm+1.45hrs=5:45pm


Related Questions

Mrs. Peabodys classroom was collecting
canned goods for a food drive. Her class set
a goal of collecting 300 cans. At the end of
the food drive, they collected 270 cans. What
percentage of their goal did they meet?

Answers

Answer:

570

Step-by-step explanation:

yan sagot ko ehh balakajan

A​ student's cost for last semester at her community college was ​$2000. She spent ​$280 of that on books. What percent of last​ semester's college costs was spent on​ books?

Answers

Answer:

14%

Step-by-step explanation:

A way I usually do it is with a fraction setup.

280/2000 = ?/100

multiply 280 by 100, and you get 28000. divide this by 2000, and you get 14!

The value of a particular used car has been decreasing at the same rate each year since 2010. The equation C (t) 25,000 (0.78) represents
the value of the car C' (t), in dollars, as a function of t, the number of years since 2010.
What is the percent decrease of the value of the car each year?
O22%

Answers

The percentage decrease in the value of the car is  22%.

What is the percent decrease?

We need to know that when we are talking about the increase or the decrease we are dealing with an exponential function. As such, we would have to look at the general form of the exponential equation as we deal with the problem.

Now we have that the general form of the equation ought to be;

Ct = Co(1 - r)^t

We would now compare the part (1 - r)^t with  (0.78) ^t in the equation that we are given and we have;

1 - r = 0.78

r = 0.22

r = 22%

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The length of a rectangle if the length is twice the size of the width increased by one

Answers

Answer:

I'm not confident on this but:

L = 2(W + 1)

Hopefully this might help somewhat :]

L: Length

W: Width

l=2(wx1) i am not sure

How many times will the following loop execute?
int x = 0;
do {
x++;
cout << x << endl;
}while(x < 5)
Answers:
a. - 5 times
b. - 4 times
c. - It doesn't
d. - Infinite times
e. - 6 times

Answers

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

Find the product:
(2p-3)^2

Answers

Answer:

(2p-3)² = 4p²-9

may it can help you .

mark me as brainliest pls

X
The table below shows the number of gallons of water in a fish tank after the tank has been leaking
water at a steady rate.
Water Leaked
Minutes Leaking
Gallons of Water
Remaining in Tank
у
0
75
3
67.5
7
57.5
15
37.5
21
22.5
26
10
2
When these data are graphed on a coordinate grid, the points all lie on the same line. What are the
slope and y-intercept of this line?
slope = 3, y-intercept = 30
slope - y-intercept = 30
o slope = - , y-intercept = 75
o slope = .y-intercept = 75

Answers

12 beacuse he has enough to to it to ur soo good for the game to play it and ur soo fun

To win a carnival game, you have to shoot a stream of water into a clown's mouth. the clown face is painted on a rectangular piece of wood that measures 16 inches by 12 inches. the clown's mouth is a circle with a diameter of 3 inch. what is the probability that your water will hit the clown's mouth?

write the probability as a percentage, rounded to the nearest tenth.

Answers

The probability will be 0.037 or 3.7% when it is rounded to the nearest tenth.

To calculate the probability of hitting the clown's mouth, we need to compare the area of the clown's mouth to the total area of the rectangular wood piece.

The area of the clown's mouth can be found using the formula for the area of a circle: A = π * (r^2), where r is the radius. In this case, the diameter is given as 3 inches, so the radius is 1.5 inches.

Plugging the values into the formula, we get A = π * (1.5^2) = 7.065 square inches. The total area of the rectangular wood piece is 16 inches * 12 inches = 192 square inches.

Therefore, the probability of hitting the clown's mouth is 7.065 / 192 ≈ 0.0367, which rounds to 0.037 or 3.7% when expressed as a percentage rounded to the nearest tenth.

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When we are given a linear function, how is one way we can graph it

Answers

By placing the coordinates in the right place

The sum of the measures of Angle A and Angle B is 180°.

- The measure of Angle A is (4x + 12)0.

- The measure of Angle B is (15x − 3)0 .

What is the value of x?




A. x = 9
A. , , , x = 9, ,

B. x = 171
B. , , x = 171, ,

C. x = 19
C. , x = 19,

D. x = 15

Answers

Answer:

x=9

Step-by-step explanation:

the only way to add and subtract signed numbers us to go in order as they appear in the expression

true or false

Answers

Answer:

FALSE

Step-by-step explanation:

LIKE IT IS FALSE!

60(-0.15)? if you can thx

Answers

Answer:

-9

Step-by-step explanation:

Have a great day!

At a carnival, Ryan bought 16 packs of 7 tickets each. He also found 9 more tickets on the ground. How many tickets did Ryan have in all?

Answers

Answer:

121 tickets

Step-by-step explanation:

16x7+9=121

I hope this helps

Hello people ~
factorise : 3x² + 10x + 8​

Answers

Answer:

(x + 2)(3x + 4)

Step-by-step explanation:

3x² + 10x + 8

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × 8 = 24 and sum = + 10

the factors are + 6 and + 4

use these factors to split the x- term

3x² + 6x + 4x + 8 ( factor first/second and third/fourth terms )

= 3x(x + 2) + 4(x + 2) ← factor out (x + 2) from each term

= (x + 2)(3x + 4) ← in factored form

\(\\ \rm\Rrightarrow 3x^2+10x+8\)

\(\\ \rm\Rrightarrow 3x^2+6x+4x+8\)

\(\\ \rm\Rrightarrow 3x(x+2)+4(x+2)\)

\(\\ \rm\Rrightarrow (3x+4)(x+2)\)

Done!

cuál es el resultado de (3x+4y)+(2x-2y)​

Answers

Answer:

5x +2y

Step-by-step explanation:

3x + 4y + 2x - 2y -> remove parenthesis

5x +2y -> combine like terms ( 3x + 2x = 5x and 4y - 2y = 2y)

let my know if you have anymore questions

Sum of Square Error (SSE), tells us
O the sum of squares of the dependent variables
O the squares of the slope and intercept term
O the squares of the mean values of X and Y
O how well a model represents and explains the data
O how much of the dependent variation the model does not explain

Answers

SSE (Sum of Square Error) tells us how much of the dependent variation the model does not explain.

SSE is a measure that quantifies the difference between the observed values and the predicted values from a statistical model. It represents the sum of the squared differences between the actual values of the dependent variable and the predicted values by the model.

The SSE reflects the unexplained or residual variation in the data, meaning it represents the portion of the dependent variable's variability that is not accounted for by the model. In other words, it measures how well the model fits the data and captures the extent to which the model represents and explains the observed data. A lower SSE value indicates a better fit of the model to the data, as it implies that the model explains a larger proportion of the dependent variable's variation.

Therefore, option "O how much of the dependent variation the model does not explain" is the correct statement that describes what SSE tells us. It provides a measure of the unexplained variation in the data and serves as a basis for assessing the model's goodness of fit.

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Graph a line with a slope of 2/5 that contains the point(-2,4)
So...(-2,4) and ( ?, ?) =
Please Help!!!!
Will Mark Brainliest!!!!!

Answers

Answer:

(-2, 4) (3, 6)

Step-by-step explanation:

I think this would be correct? haha

y2-y1/x2-x1

6-4=2,3--2(or 3+2 because 2 negatives make a positive)=5, so 2/5.

I hope this helps :)

The 4th ans pls anyone?

The 4th ans pls anyone?

Answers

Answer:

associative property of multiplication

Step-by-step explanation:

I hope this helps you :)

Rachel is mailing packages. Each small package costs her $2.60 to send. Each large package costs her$4.10. How much will it cost her to send 3 small packages and 4 large packages?

Answers

Answer:

it would be 14.70

Step-by-step explanation:

Plz help on this ASAP I forgot

Plz help on this ASAP I forgot

Answers

Answer:

B) If you use 9 cups of almonds, you need 5 cups of flour

Step-by-step explanation:

If 9 is your x-coordinate, that represents 9 cups of almond.

If 5 is your y-coordinate, that represents 5 cups of flour.

Therefore, B is correct

Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
18 x minus 15 = 72
50 x minus 25 = 72
18 x minus 9 = 72
3 (6 x minus 3) = 72
x = 4.5

Answers

The correct answer is "None of the options."  the same value of x as the given equation Three-fifths(30x - 15) = 72.

To find the equations that have the same value of x as the given equation, we need to solve the equation Three-fifths(30x - 15) = 72 and check which options satisfy the same value of x.

Let's solve the given equation step by step:

Three-fifths(30x - 15) = 72

Multiply both sides by the reciprocal of three-fifths, which is five-thirds:

(5/3) * Three-fifths(30x - 15) = (5/3) * 72

Simplifying:

(30x - 15) * (5/3) = 120

Multiply both sides by 3/5 to isolate (30x - 15):

(30x - 15) = (120) * (3/5)

Simplifying:

30x - 15 = 72

Add 15 to both sides:

30x = 87

Divide both sides by 30:

x = 87/30

Now, let's check which options have the same value of x:

a) 18x - 15 = 72:

Substituting x = 87/30:

18 * (87/30) - 15 = 72

26.1 - 15 = 72

11.1 ≠ 72

b) 50x - 25 = 72:

Substituting x = 87/30:

50 * (87/30) - 25 = 72

145 - 25 = 72

120 ≠ 72

c) 18x - 9 = 72:

Substituting x = 87/30:

18 * (87/30) - 9 = 72

52.2 - 9 = 72

43.2 ≠ 72

d) 3(6x - 3) = 72:

Simplifying:

18x - 9 = 72

Substituting x = 87/30:

18 * (87/30) - 9 = 72

52.2 - 9 = 72

43.2 ≠ 72

Based on our calculations, none of the options have the same value of x as the given equation Three-fifths(30x - 15) = 72. Therefore, the correct answer is "None of the options."

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From a pack of cards with two jokers, one card is drawn out. Find the probability of:
(i) getting a joker.
(ii) getting a face card (J, Q and K are
called face cards).
(iii) getting a red ace.​

Answers

Answer: 1/28, 3/14, 1/28

Step-by-step explanation: There are two Jokers in the deck. This is 2/56 chance, which is reduced to 1/28. There are 12 face cards: 4 Kings, 4 Queens, and 4 Jacks. This is 12/56, which reduces to 3/14. There are two red aces: The Ace of Diamonds and the Ace of Hearts. This is a s2/56 chance, which reduces to 1/28 chance.

Jackie needs at least 350 for a plane ticket. She saves 25 each week. Which number line shows how long she will need to save money

Jackie needs at least 350 for a plane ticket. She saves 25 each week. Which number line shows how long

Answers

Answer:

C. x ≥ 14

Step-by-step explanation:

Set inequality and solve:

25x ≥ 350x ≥ 350/25x ≥ 14

Correct choice is C

\(25x ≥ 350\)

\(x ≥ \frac{350}{25}\)

\(x ≥ 14\)

Answer is C option

A motorcycle drives on a ramp in order to enter the parking garage. The ramp has a height of 4 feet and a horizontal length of 20 feet. What is the angle of the ramp?

Answers

Is this area, volume or surface area?

Trevor earned $25.00 making pizzas on Tuesday. He earned more money-making pizzas on Wednesday. Write an expression that shows the amount of money Trevor has earned.

Answers

An expression that represents the amount of money Trevor has earned can be written by adding the amount he earned on Tuesday to the amount he earned on Wednesday.

Let's denote the amount of money Trevor earned on Wednesday as "x". Since Trevor earned $25.00 on Tuesday, we can represent this amount as a constant value. To calculate the total amount of money Trevor has earned, we add the earnings from both days.

The expression that represents the amount of money Trevor has earned is:

$25.00 + x

Here, $25.00 represents the earnings on Tuesday, and "x" represents the earnings on Wednesday. By adding these two values, we obtain the total amount of money Trevor has earned.

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Given the function f(t)=(t−3)(t+4)(t−2) its f-intercept is its t-intercepts are Question

Answers

The given function is f(t) = (t-3)(t+4)(t-2). We need to find the f-intercept and t-intercepts of this function.

The f-intercept of a function represents the point where the graph of the function intersects the y-axis, which is the line t = 0. To find the f-intercept, we substitute t = 0 into the function f(t) and solve for f(0). This will give us the y-coordinate of the point where the graph intersects the y-axis.

To find the t-intercepts of a function, we set the function equal to zero and solve for t. In this case, we set f(t) = 0 and solve the equation (t-3)(t+4)(t-2) = 0 for t. The values of t that satisfy this equation will give us the x-coordinates of the points where the graph intersects the x-axis.

By performing the necessary calculations, we can find the f-intercept and the t-intercepts of the given function.

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Work out the mean of these three numbers

Answers

Answer:

110

Step-by-step explanation:

Let the three numbers be 100, 110 and 120

100 + 110 + 120 = 330

Total numbers = 3

\(mean = \frac{330}{3} = 110 \\ \)

Let f(x, y) = (4x2 + 2xy + 4y2)/ (x2 + y2), if (x, y) ≠ (0, 0)if (x, y) = (0, 0).(a) If (x, y) ≠ (0, 0); what are fx(x, y) and fy(x, y)?fx =fy =(b) Use the definition of the partial derivatives with respect to x and to y to find, if they exist, fx(0, 0) and fy(0, 0). (If an answer does not exist, enter DNE.)fx(0, 0) =fy(0, 0) =(c) Are both partial derivatives of f continuous at every point in the set {(x, y): (x, y) ≠ (0, 0)}?a. Yes, both the partial derivatives are continuous at every point in that set.b. No, only the partial derivative with respect to y is continuous at every point in that set.c. No, only the partial derivative with respect to x is continuous at every point in that set.d. No, neither partial derivative is continuous at every point in that set.

Answers

(a) To find the partial derivatives, we differentiate the function f(x, y) with respect to x and y while treating the other variable as a constant.

fx(x, y) = d/dx [ (4x^2 + 2xy + 4y^2) / (x^2 + y^2) ]

          = [(8x(x^2 + y^2) - (4x^2 + 2xy + 4y^2)(2x)) / (x^2 + y^2)^2]

          = [(8x^3 + 8xy^2 - 8x^3 - 4x^2y - 8xy^2) / (x^2 + y^2)^2]

          = [-4x^2y / (x^2 + y^2)^2]

fy(x, y) = d/dy [ (4x^2 + 2xy + 4y^2) / (x^2 + y^2) ]

          = [(8y(x^2 + y^2) - (4x^2 + 2xy + 4y^2)(2y)) / (x^2 + y^2)^2]

          = [(8xy^2 + 8y^3 - 8xy^2 - 4x^2y - 8y^3) / (x^2 + y^2)^2]

          = [-4x^2y / (x^2 + y^2)^2]

(b) To find fx(0, 0) and fy(0, 0), we substitute x = 0 and y = 0 into the partial derivative expressions:

fx(0, 0) = -4(0)^2(0) / ((0)^2 + (0)^2)^2 = 0

fy(0, 0) = -4(0)^2(0) / ((0)^2 + (0)^2)^2 = 0

(c) Both partial derivatives, fx(x, y) and fy(x, y), are continuous at every point in the set {(x, y): (x, y) ≠ (0, 0)}.

However, at the point (0, 0), the partial derivatives fx(0, 0) and fy(0, 0) are both 0, indicating that the partial derivatives are continuous at that point as well.

Therefore, the correct answer is (a) Yes, both the partial derivatives are continuous at every point in that set.

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a testable prediction of what will happen under a specific set of conditions is known as a/an

Answers

A testable prediction of what will happen under a specific set of conditions is known as a hypothesis.

A hypothesis is a tentative explanation or prediction about a phenomenon or relationship between variables, based on limited evidence or prior knowledge. It is often formulated as a statement that can be tested through research or experimentation.

A hypothesis typically includes an independent variable (the variable that is being manipulated or studied) and a dependent variable (the variable that is being measured or observed). The hypothesis also includes a prediction about how the independent variable will affect the dependent variable.

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hello!!!! please help me with this- i will you give brainlist :]

hello!!!! please help me with this- i will you give brainlist :]

Answers

The completed blanks in the statement are underlined as follows

Standard form: x⁶ + 53x⁵ + 2x⁴  - 2The degree is 6 . The leading coefficient is 1This is called a polynomial because it has 4 terms

How to complete the blanks in the statement

From the question, we have the following parameters that can be used in our computation:

A mathematical expression

The mathematical expression is given as

2x⁴ + 53x⁵ - 2 + x⁶

The standard form

To do this, we rearrange the expression from the highest power to the least

So, we have the following representation

x⁶ + 53x⁵ + 2x⁴  - 2

The degree

This is the highest power in the expression

So, the degree is 6

The leading coefficient

This is the coefficient of the term that has highest power of x

So, the leading coefficient is 1

The name of the expression

The expression has 4 terms

So, the name is a polynomial

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