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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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Find the distance between the points (10,10) and (10,5)
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Answer:

5

Step-by-step explanation:

The x coordiantes are the same so

the distance is the difference in the y coordinates

10 - 5 = 5

5 0
2 years ago
Find the slope of the graph.
slavikrds [6]

Answer:

the slope is 4/3

Step-by-step explanation:

slope is also called rise over run you start at one point and count how many spaces it is up to the next point then across

8 0
3 years ago
James works in a sporting goods store and earns $324 a week and 5% of his sales. One week James earned $432. What were his sales
Bogdan [553]

Answer:

His sales that week were $2,160.

Step-by-step explanation:

First, you have to subtract $324 from the amount he earned that week, to find the 5% he got from sales:

$432-$324=$108

Now, you know that he received $108 that represent 5% of his sales and you can use a rule of three to find the amount that represents 100% which would be his sales that week:

 5%   →    108

100% →      x

x=(100*108)/5=2160

According to this, the answer is that his sales that week were $2,160.

7 0
3 years ago
PLEASE HELP!!!!!!!dgbdgdbhdndcn
bogdanovich [222]
Problem 1)

AC is only perpendicular to EF if angle ADE is 90 degrees

(angle ADE) + (angle DAE) + (angle AED) = 180
(angle ADE) + (44) + (48) = 180
(angle ADE) + 92 = 180
(angle ADE) + 92 - 92 = 180 - 92
angle ADE  = 88

Since angle ADE is actually 88 degrees, we do NOT have a right angle so we do NOT have a right triangle

Triangle AED is acute (all 3 angles are less than 90 degrees)

So because angle ADE is NOT 90 degrees, this means AC is NOT perpendicular to EF

-------------------------------------------------------------

Problem 2)

a) The center is (2,-3) 

The center is (h,k) and we can see that h = 2 and k = -3. It might help to write (x-2)^2+(y+3)^2 = 9 into (x-2)^2+(y-(-3))^2 = 3^3 then compare it to (x-h)^2 + (y-k)^2 = r^2

---------------------

b) The radius is 3 and the diameter is 6

From part a), we have (x-2)^2+(y-(-3))^2 = 3^3 matching (x-h)^2 + (y-k)^2 = r^2

where
h = 2
k = -3
r = 3

so, radius = r = 3
diameter = d = 2*r = 2*3 = 6

---------------------

c) The graph is shown in the image attachment. It is a circle with center point C = (2,-3) and radius r = 3.

Some points on the circle are

A = (2, 0)
B = (5, -3)
D = (2, -6)
E = (-1, -3)

Note how the distance from the center C to some point on the circle, say point B, is 3 units. In other words segment BC = 3.

6 0
3 years ago
Ax-bx+y=z the formula that could be used to find x
Illusion [34]

ax-bx+y=z the formula that could be used to find x

Answer:

<h2>x=z−y/a−b</h2>

5 0
3 years ago
Read 2 more answers
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