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Fiesta28 [93]
2 years ago
15

Timothy went to a baseball game. After the game, he wanted to ride the bus home. The red line and the blue line buses both stop

at the stadium.
● A red line and a blue line bus both left the stadium at 4:00 p.m.

● Red line buses were scheduled to leave the stadium every 6 minutes.

● Blue line buses were scheduled to leave the stadium every 8 minutes.

If the buses run on schedule, when is the next time a red line and a blue line bus will leave together? Show your work.
Mathematics
2 answers:
masha68 [24]2 years ago
6 0

Answer:

  • At 4:24 p.m.

Step-by-step explanation:

We need to find the lowest number that is divisible by both 6 and 8.

  • LCM(6, 8) = 24

So, next time is after 24 minutes and every 24 minutes after that.

  • 4: 00 p.m. + 24 min = 4:24 p.m.
romanna [79]2 years ago
6 0

Answer:

<h2><u>Solution</u><u> </u><u>:</u><u>-</u></h2>

For finding next time a red line and a blue line bus will leave together we will find LCM of 6 and 8.

LCM = (6,8) = 24

Now,

Let's find add the time to LCM

\tt \: 4 : 00 + 0 : 24 = 4 : 24

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5x + 2y=7<br> - 2x + 6y=9
ollegr [7]

Answer:

x = \frac{12}{17} or 0.706

y = \frac{59}{34} or 1.735

Step-by-step explanation:

5x + 2y=7    ----->(eq 1)

- 2x + 6y=9 ----->(eq 2)

Multiply (eq 1) with 3

3×(5x + 2y) = 3×7  

15x + 6y = 21  ----->(eq 3)

substract (eq 3) from (eq 2)

- 2x + 6y - (15x + 6y) = 9-21

- 2x + 6y - 15x - 6y = 9-21

- 2x - 15x + 6y - 6y = 9-21

-17x = -12

x = -12 ÷ -17

x = \frac{12}{17}

put x = \frac{12}{17} in (eq 1)

5*\frac{12}{17} + 2y = 7

2y = 7- 5*\frac{12}{17}

2y = \frac{7*17 - 60}{17}

2y = \frac{119- 60}{17}

2y = \frac{59}{17}

y = \frac{59}{17*2}

y = \frac{59}{34}

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3 years ago
A movie complex is showing the same movie in three theaters. In theater​ A, 56 of the 80 seats are taken. In theater​ B, seats a
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Answer:

Theatre A has the greatest percent

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what is three and sixty-tow thousandths rounded to the nearest hundredth and to the nearest whole number
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Sanji scored 125 points in the first round of a video game and 263 points in the second round. His total score after the third r
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Sanji scored 44 points more in the third round than in the first round.
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2 years ago
PLEASE HELP :'))
andreev551 [17]

Answer:

D) 54 cm

Step-by-step explanation:

We can use the Centroid Theorem to solve this problem, which states that the centroid of a triangle is \frac{2}{3} of the distance from each of the triangle's vertices to the midpoint of the opposite side.

Therefore, R is \frac{2}{3} of the distance from U to V, since the latter is the midpoint of the side opposite to U. We know this because R belongs to UV, so R must be QS's midpoint due to the fact that by definition, the centroid of a triangle is the intersection of a triangle's three medians (segments which connect a vertex of a triangle to the midpoint of the side opposite to it).

We can then write the following equation:

VR=\frac{1}{3} UV

Substituting VR = 18 into the equation gives us:

18=\frac{1}{3} UV

Solving for UV, we get:

18=\frac{1}{3} UV

3 *18=3*\frac{1}{3}UV (Multiply both sides of the equation by 3 to get rid of UV's coefficient)

54=UV (Simplify)

UV=54 (Symmetric Property of Equality)

Therefore, the answer is D. Hope this helps!

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2 years ago
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