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Kisachek [45]
3 years ago
10

Alicia bikes 25% of a 100-mi trip on the first day. she bikes of the remaining distance on the second day. on the third day, she

bikes 40% of the remaining distance. how many miles are left in alicia's trip?
Mathematics
1 answer:
DochEvi [55]3 years ago
5 0
First day: 25% × 100 = 25 ( miles)
Second day : the remaining distance is 100 - 25 = 75 ( milesl
Third day: 40% × 75 = 30
25 + 75 + 30 = 130 (miles)

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A drawer contains a dozen each of red, blue, green, and white socks, all unmatched. Laura takes socks out at random in the dark.
iren2701 [21]

Answer:

8

Step-by-step explanation:

The probability of picking out a certain colour = 12/48 = 1/4

So, this means that every 4 socks you pick out you can be sure of having one of each colour. If you need to find a pair, then you pick out 8.

Hope this helps

7 0
3 years ago
A, B, and C are collinear, and B is between A and C. The ratio of AB to AC is 1:2 If A is at (6,3) and B is at (-1,2), what are
Maksim231197 [3]

Answer:

The coordinates of C is (-8,1)

Step-by-step explanation:

Looking at the attached image, you'd see that, AB is 1 and BC is 1, that's because we are told that ratio of AB to AC is 1:2 meaning, AC is 2 and AB is 1. Therefore for that ratio to be satisfied BC has to be 1 so that AC would be 2.

Now let's assume the coordinates of C is (x,y).

To get it's coordinates, we use the section formula:

(x,y)= (\frac{mx + nx_{1}}{m + n} , \frac{my + ny_{1}}{m + n})

Where (m,n) is the (AB, BC)

Therefore we have

(-1,2) = (\frac{1\times x + 1\times6}{1 + 1} , \frac{1\times y + 1\times3}{1 + 1})

This gives:

(-1,2) = (\frac{x + 6}{2} , \frac{y + 3}{2})

-1 =( \frac{x + 6}{2} and 2 = \frac{y + 3}{2})

From there x = -8 and y = 1

Therefore the coordinates of C is (-8, 1).

7 0
4 years ago
Nick currently has 7,200 points in his fantasy baseball league, which is 20% points than Adam. How many points does Adam have?
Dovator [93]
Heya!!!


Answer to your question:

Let Adam's points be x.

Nick has points =7200=20%of x+x

20/100 *x + x=7200

x/5 +x=7200

6x/5=7200

x= 7200*5/6

x=6000

Adam has 6,000 points.

Hope it helps *_*

5 0
3 years ago
In triangle XYZ, let angle Y be a right angle, mZ = 54°, and YZ = 361. Find the area of the
laiz [17]

Answer:

89,709

Step-by-step explanation:

∡Z= 54°

tan 54 = XY / 361

XY = 361 · tan 54°

XY = 497

A = 1/2 (361) (497)

5 0
3 years ago
Based on the similar triangles shown below, Theodore claims that ∆TUV is transformed to ∆WXY with a scale factor of 32. Is Theod
ICE Princess25 [194]

Answer:

Yes, the triangles are simirar with a scale factor of 3/2.

Step-by-step explanation:

We find the scale factor by dividing corresponding sides:

12/8=3/2

18/12=3/2

24/16=3/2

4 0
3 years ago
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