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brilliants [131]
3 years ago
13

You start at (3, 5). You move left and stop at (-5, 5). How much distance have you traveled

Mathematics
1 answer:
Ugo [173]3 years ago
6 0

Answer:

2 steps to the right 10 steps down

Step-by-step explanation:

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Marissa's dance studio charges a monthly fee, plus a fixed amount per class.
Studentka2010 [4]

Answer:

Step-by-step explanation:

4 0
3 years ago
The price of a European tour includes stopovers at five cities to be selected from 15 cities. In how many ways can a traveler pl
xeze [42]

Answer:

The traveler can plan such a tour in 3003 ways.

Step-by-step explanation:

The order that the cities are chosen is not important, since it is chosen by the company and not by the traveler. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, we have that:

Combinations of 5 cities from a set of 15. So

C_{15,5} = \frac{15!}{5!10!} = 3003

The traveler can plan such a tour in 3003 ways.

4 0
3 years ago
The ratio of money in Obi's wallet to Rudy's wallet one day was 5:2.
mamaluj [8]

Answer:

The amount that Obi initially had was £20

Step-by-step explanation:

Let

x ----> amount that Obi initially has

y ----> amount that Rudy has

we know that

\frac{x}{y} =\frac{5}{2}

x=2.5y ----> equation A

x-20=y-8

y=x-20+8

y=x-12 ----> equation B

Solve the system by substitution

substitute equation A in equation B

y=(2.5y)-12

solve for y

2.5y-y=12\\1.5y=12\\y=8

Find the value of x

x=2.5(8)=20

therefore

The amount that Obi initially had was £20

4 0
3 years ago
The end point P of a line segment PQ(-3,6) and its mid point is (5,8) Find the coordinates of the end point Q
Georgia [21]

Answer:

  • (13, 10)

Step-by-step explanation:

Let Q have coordinates x and y

<u>Using midpoint formula we find the values of x and y</u>

  • (- 3 + x)/2 = 5 ⇒ -3 + x = 10 ⇒ x = 10 + 3 ⇒ x = 13
  • (6 + y)/2 = 8 ⇒ 6 + y = 16 ⇒ y = 16 - 6 ⇒ y = 10
  • Q = (13, 10)
5 0
3 years ago
Read 2 more answers
I purchased a scooter for $290.00 but was charged an additional 5 % for delivery. What was my total?
polet [3.4K]

Answer:

Step-by-step explanation:

304.5

4 0
3 years ago
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