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.


Please help x

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required values are ~

[tex]\fbox \colorbox{black}{ \colorbox{white}{x} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{40 \degree}}[/tex]

[tex]\fbox \colorbox{black}{ \colorbox{white}{y} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{80 \degree}}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

From the given figure, we can infer that ~

(by linear pair)

now, let's solve for x ~

And, we can see that 2x = y (by alternate interior angle pair)

So, let's find the value of y ~

Answer:

x = 40

3x - 20 = 100

2x = 80

y = 80

2x - 15 = 65

Step-by-step explanation:

The angles 3x - 20 and 2x are a linear pair, so they are supplementary. Their measures has a sum of 180°.

Angles 2x and y are alternate interior angles, so they are congruent.

Once we find the value of x, we can find the measure of angle 2x - 15.

3x - 20 + 2x = 180

5x = 200

x = 40

3x - 20 = 3(40) - 20 = 120 - 20 = 100

2x = 2(40) = 80

y = x = 80

2x - 15 = 2(40) - 15 = 80 - 15 = 65

Answer:

31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3×7=21

2×5=10

21+10=31

25 x 2 = 50

60 x 2 = 120

120 + 50 = 170

So they have travelled 170 miles apart from one another.

or 170 mi/h

Answer:

6.06%

Step-by-step explanation:

198 + 6.06%=209.9988

Answer: 23.75

Step-by-step explanation:

Answer:

1 mile

Step-by-step explanation:

1 hour = 3 miles

20 minutes is 1/3 of an hour, so he walks 1 mile

Answer:

x = 12

9x = 108º

6x = 72º

Step-by-step explanation:

The angles sum to 180º

9x + 6x = 180

15x = 180

x = 12

9x = 9 * 12 = 108

6x = 6 * 12 = 72

In the given parallelogram, we can see that 9x° & 6x° are adjacent angles.  2 adjacent angles in a parallelogram sum up to 180°. So,

9x° + 6x° = 180°

15x° = 180°

x = 180/15

x = 12

Now,

6x° = 6 × 12 = 72°

9x° = 9 × 12 = 108°.

=》The value of 'x' is 12 & the measure of each labelled angle is 72° & 108°.

________

Hope it helps ⚜

Answer:

= 215008. 21 in²

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

- 1 / 2 = - 1 / 2

Both are equal.

Answer:

See answer below

Step-by-step explanation:

  y = one time fee

  35x = hourly rate( hours worked)

  35x + y = $190

   y =  - 35x = 190

  $35 per hours ×  hours work and you did not used the total cost $190

Next time rewrite the sentence and translate into an equation.

The  customers service charges = one-time fee + hourly rate$ ( hours worked)

                                          190   =  y + 35(x)    point slope form

                                        - 35x + 190 = y

Answer:

0.01

Step-by-step explanation:

your welcome :D have a good day pls mark me with the crown (whatever its called lol)

The answer is C, 6.6 miles.

Answer:

B

Step-by-step explanation:

I've done these type of questions before, pretty easy you can even figure it out without paper, just pure logic.

Answer:

2•(x-2)^2+5​​       3x + 3 = x + 13, 3x = x + 10, 2x = 10, and x = 5.

I hope that this helps :P (and thx for the ez pointsss)

Answer:

x³-12x²+27x+40 has factors (x-8)(x-5)(x+1)

Answer:

(1/2)n

Step-by-step explanation:

I think this should be correct. A will be "1" and then for every scale (n) it will be scaled by 1/2.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

2² = 2*2

(2*2) + 6 = 4+6 = 10

Answer:

C

Step-by-step explanation:

Slope can truly be anything as long as they're equal

Answer:

c.their slopes are equal

Answer:

a = 3

b = -1

c = -5

d = -7

Step-by-step explanation:

to find each letter, put the corresponding 'x' value into the y-equation and solve:

for 'a':  y = -2(-3) + (-3) = 6 + (-3) = 3

for 'b':  y = -2(-1) + (-3) = 2 + (-3) = -1

for 'c':  y = -2(1) + (-3) = -2 + (-3) = -5

for 'd':  y = -2(2) + (-3) = -4 + (-3) = -7

Answer:

i think its 71.1 but idrk

basically i hope you're able to play game good luck man

Step-by-step explanation:

so, if you did not make a typo the problem is

-a/6 + 7 = -14

and I guess, you need to find the value of a to make this equation true. right ?

you know that you can do additional operations on the equation ?

the rule is, whatever you change on one side of the equation you have to change also on the other side (otherwise we would destroy the original equation, where the left side must be equal to the right side).

so, a good idea to start is to try and separate the terms with the variable and the constants.

so, let's subtract 7 from both sides :

-a/6 = -14 - 7 = -21

next, the fraction is disturbing. let's dissolve it by multiplying both sides by 6 :

-a = -21×6 = -126

both sides are negative expressions. that is not nice either. let's multiply both sides by -1

a = 126

and we have our result ! bingo !

Answer:

Step-by-step explanation: 3a-5b= 3(7)-5(4)

                                                       =21-20

                                                       =1

7-3a+5a+15=7-3(7)+5(7)+15

                   =7-21+35+15

                   =-14+50

                   =36

15a^2-17(bc)^2=15(7)^2-17(4)(-3)^2

                         =105^2-204^2

                         =210-408

                         =-198

Step-by-step explanation:

a^3+35b^3+a^3-b^3

2a^3+34b^3

Answer:

2a^3 + 34b^3 - 3a^2b + 3ab^2

Answer:

2/1 a improper fracrion 1/2 is a proper fraction

Step-by-step explanation: i just know those two sorry

Answer:

slope = 2

Step-by-step explanation:

slope is defined as change in y over change in x. for every +1 in the x direction, y receives +2. 2/1 = 2

Answer:

The operational guide of the Saint Vincent and the Grenadines Bureau of Standards (SVGBS) is envisaged in its mission and vision statements.

Step-by-step explanation: