Bus A and Bus B leave the bus depot at 9 am.
Bus A takes 30 minutes to complete its route once and bus B takes 40 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.

Answer:

To write as a scientific notation in this problem, just make something 0.0 x 10n

In this case, this is 8.9. Then, think about how many 10s have to be multiplied to make 8900.

It's three!

Move the decimal point left  to 3 places to make 5.78. Then, n is the number of decimal places you moved:3

Same goes to the case 0.034. You need to make something 0.0 x 10n

Hence, move the decimal point right to 2 places to make 3.4. How many decimal places did you move?Two!

But because you went right to make it from 0.034 to 3.4, n becomes -2(the number got 100 times smaller).

Just don't forget to add that negative sign after you have solved a problem involving a number smaller than 1.

Step-by-step explanation:

Hope this helps you.

:)

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Suppose :

a = ( 5 , 1 ) and b = ( 2 , - 5 )

______________________________________

We have following equation to find the slope of the line using two points :

[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]

Now just need to put the coordinates in the above equation ;

[tex]slope = \frac{ - 5 - 1}{2 - 5} \\ [/tex]

[tex]slope = \frac{ - 6}{ - 3} \\ [/tex]

Negatives simpliflies

[tex]slope = \frac{6}{3} \\ [/tex]

[tex]slope = \frac{3 \times 2}{3} \\ [/tex]

[tex]slope = \frac{2}{1} \\ [/tex]

[tex]slope = 2[/tex]

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Use the Pythagorean theorem to find the diagonal.

Diagonal = sqrt( 50^2 + 30^2)

Diagonal = sqrt(2500 + 900)

Diagonal = sqrt(3400)

Diagonal = 58.309 meters ( round as needed)

9514 1404 393

Answer:

  21 coins of ₹2

Step-by-step explanation:

Let x represent the number of ₹2 coins, and y the number of ₹5 coins. Then the total value of the coins is ...

  2x +5y = 77

and the relationship between numbers of coins is ...

  x = 3y

Substituting for x, we have ...

  2(3y) +5y = 77

  y = 77/11 = 7 . . . . simplify, divide by the coefficient of y

  x = 3(7) = 21 . . . . find x from the second equation

Ram has 21 of the ₹2 coins.

Answer:

x<3 or x>5

Step-by-step explanation:

doesn't equal when there are open dots and x must be greater than 5

Answer: B.) both the conditional statement and its converse .

Explanation: In order to create a bi-conditional statement, you first need to write a conditional statement and then write the converse of that conditional statement. Finally, you use the if and only if statement structure to combine the conditional statement and its converse.

The required solution is both the conditional statement and its converse.

It is required to choose the correct statement.

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion. Intuitively, “If P then Q” means that Q must be true whenever P is true.

Given:

In order to create a bi-conditional statement, you first need to write a conditional statement and then write the converse of that conditional statement. Finally, you use the if and only if statement structure to combine the conditional statement and its converse.

Biconditional Statement Examples:

The polygon has only four sides if and only if the polygon is a quadrilateral.

Therefore, the required solution is both the conditional statement and its converse .

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Answer:

Hope this helps can I get brainliest I need to rank up :))))

Step-by-step explanation:

32° ... If he is standing 15 feet from the base of the pole, about how tall is the.

Answer:

58

Step-by-step explanation:

Answer:

A) Distance time graph

B) d(t) = 25t

C) The expression shows the distance more clearly.

Step-by-step explanation:

A) A distance time graph as seen in the attachment provides a representation of the distance travelled.

We are told the car travels at a constant speed of 100 meters per 4 seconds. Which means that 100 m for each 4 hours. So, for 200m, it's 8 hours like seen in the graph and for 300m,it's 12 hours as seen in the graph.

B) And expression for the distance is;

d = vt

Where;

d is distance in metres

v is speed in m/s and t is time

We are told that the car travels at a constant speed of 100 meters per 4 seconds.

Thus, v = 100/4 = 25 m/s

Distance travelled over time is;

d(t) = 25t

C) Looking at both A and B above, it's obvious that the expression of the distance shows a more clearer way of getting the distance because once we know the time travelled, we will just plug it into the equation and get the distance. Whereas, for the representation form, one will need to longer graphs if the time spent is very long.

Answer:

Every positive number has 2 square roots, one positive and another one is negative. Square root of 49 is ±7, because you can obtain 49 by multiplying two 7's or two (-7)'s.

Step-by-step explanation:

Answer:

49 has 2 possible square roots +7 and -7

Step-by-step explanation:

49 has 2 possible square roots because 7x7=49

And -7 x -7 = 49

A negative times a negative equals a positive, so when you take the square root of 49, it is impossible to tell if 49 was the result of -7 x -7 or +7 x +7. Therefore, the square root of 49 has two possible answers.

Answer:

5.2seconds

Step-by-step explanation:

Fredrick threw a ball from the top of a building. The height of the ball, in feet, after it is thrown is modeled by the function

The modeled function is given as

h(t) = –16t^2 +64t + 100,

We can see this is a quadratic equation, we can solve using quadratic formula, Below

= -b±(√b^2 -4ac)/2a

Where

a=-16, b=64, c=100

FROM THE ATTACHMENT

We have too answers t= -1.20s and t=5.20s

Therefore,it take 5.20s for the ball to reach the ground (h=0). Because "t" cannot be negative here

CHECK THE ATTACHMENT FOR THE QUADRATIC SOLUTION

Answer:

f^-1(x) = (-1/5)x - 11/5

Step-by-step explanation:

f^-1(x) is the inverse so it must be

f^-1(x) = (-1/5)x - 11/5

Answer:

i do not got the full answer but i think you start from here

f(x)=-5x-11

y=-5x-11

x=-5y-11

x+11=-5y

answer is r+11

                 -5 or  (-1/5)x - 11/5

Step-by-step explanation:

brainlest

Answer: THE ANSWER IS C

Step-by-step explanation:

Answer:

The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5

Step-by-step explanation:

Assume that the length of the pool is x feet

∵ The length of the pool is x feet

∵ The wide of the walkway around the pool is 5 feet

∴ The total length of the pool with the walkway = (x + 5) feet

∵ The area of the entire plot, including the walkway, is A square feet

∴ The area of the entire plot, including the walkway = A feet²

∵ The area of the square = (length)²

→ Substitute the length by (x + 5)

∴ The area of the entire plot, including the walkway = (x + 5)² feet²

→ Equate it by A

∴ A = (x + 5)²

→ To find x take square root for both sides

∵ [tex]\sqrt{A}[/tex] = [tex]\sqrt{(x+5)^{2}}[/tex]

→ Cancel the square root of the right side by power 2

∴ [tex]\sqrt{A}[/tex] = x + 5

→ Subtract 5 from both sides

∵ [tex]\sqrt{A}[/tex] - 5 = x + 5 - 5

∴  [tex]\sqrt{A}[/tex] - 5 = x

→ x represents the length of the pool

∴ The length of the pool is  [tex]\sqrt{A}[/tex] - 5 feet

∴ The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5

The length of the pool will be √A-10.

Area is defined as the total space taken up by a flat surface or shape of an object.

Given that, A square plot of land will be fully used for a square swimming pool with a 5-foot wide walkway around it. The area of the entire plot, including the walkway, is A square foot.

The area of a square is side².

Let the side of the walkway be (x+10)

A =  (x+10)²

√A = x+10

x = √A-10

Hence, The length of the pool will be √A-10.

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Answer:

12/20

Step-by-step explanation:

Answer:

25 cesar 4.5 karina 12.5 sebastian

Step by step explanation:

42.

25

12.5

4.5

Step-by-step explanation:

Answer:

i need points

Step-by-step explanation:

Answer:

9.5h, 2.2r+9.5h

Step-by-step explanation:

Answer:

B & D

TRUST ME IT'S CORRECT I GUESSED AND GOT IT RIGHT

Answer:the graph should look like this

Step-by-step explanation:

Answer:

Step-by-step explanation:

As we know that a polynomial with three terms is said to be a trinomial.

Considering the trinomial of a form

[tex]ax^2+bx+c[/tex]

As

a = 1

so

[tex]x^2+bx+c[/tex]

For example,

[tex]x^2+7x+10[/tex]

[tex]=\left(x^2+2x\right)+\left(5x+10\right)[/tex]

[tex]=x\left(x+2\right)+5\left(x+2\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}x+2[/tex]

[tex]=\left(x+2\right)\left(x+5\right)[/tex]

Therefore, Trinomials in the form [tex]x^2+bx+c[/tex] can often be factored as the product of two binomials.

It would be 1 by 3

Since [4 -1 0] and [2 1 0] are both 1 by 3, the result should be the same since they match up.

also im learning the same thing right now lol

Answer:

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

You can solve this problem by finding the volume of the candle first. The formula for rectangular prism is multiplying all three of its dimension. In this case, you would multiply 3, 10, and 4 together to get 120 cm^3. Assuming the question meant "the company used 4080 cm^3 of wax", divide 4080 by 120 to see the number of candles the company made, which is 34.

Answer:

8

Step-by-step explanation:

Answer:

........

Step-by-step explanation:

Answer: what do u need help in ?

Step-by-step explanation:

Answer:

y=2

Step-by-step explanation:

that is it!!! I hope I'm correct..

Answer:

21

Step-by-step explanation:

Given

3y + 5(x - 8) ← substitute x = 11, y = 2 into the expression

= 3(2) + 5(11 - 8) ← evaluate parenthesis

= 6 + 5 × 3

= 6 + 15

= 21

Answer:

[tex]y=3x+9[/tex]

Step-by-step explanation:

We want to determine the equation of the line that passes through the points (3, 18) and (8, 33).

First, let’s determine the slope. We can use the slope formula:

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

We will let (3, 18) be (x₁, y₁) and (8, 33) be (x₂, y₂). Then it follows that:

[tex]\begin{aligned} m&=\frac{33-18}{8-3} \\ m&=\frac{15}{3} \\ m&=3\end{aligned}[/tex]

Hence, the slope is 3.

Now, we can use the point-slope form:

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

We will substitute 3. for m. We can use either of the two points for (x₁, y₁) but let’s let (3, 18) be (x₁, y₁) for consistency. Thus:

[tex]y-18=3(x-3)[/tex]

Then it follows that:

[tex]\begin{aligned} y-18&=3x-9 \\ y&=3x+9 \end{aligned}[/tex]

Therefore, our equation is:

[tex]y=3x+9[/tex]

Answer:

the options are missing, so I looked for a similar question and found these options:

the answer is: an equal number of students chosen at random from each grade level

Step-by-step explanation:

A good sample must be random and representative of all the population. In this case, the population is all the kids that go to middle school. A good sample would need to be taken at random and all the students should have equal opportunity to be chosen, and the three grades must be included in the same proportion.

Answer:

one student chosen at random from each grade level

(A)

Step-by-step explanation: