One side of triangle is 2
times the shortest side. The third side is
14
feet more than the shortest side. The perimeter is
62
. Find all three sides.

Answers

Answer 1

Answer: The side lengths are 16, 30, and 32

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What is the slope of any line parallel to the line 2x-3y=7?

Answers

Rewrite 2x-3y=7 in slope-intercept is y=2/3x-7/3, and y=mx+b and m is the slope so m=2/3.

Answer:

slope = $(2)/(3)$

Step-by-step explanation:

Parallel lines have equal slopes.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2x - 3y = 7 into this form by subtracting 2x from both sides

- 3y = - 2x + 7 ( divide terms by - 3 )

y = $(2)/(3)$ x - $(7)/(3)$ ← in slope- intercept form

with slope m = $(2)/(3)$

Thus the slope of any parallel line is m = $(2)/(3)$

1. There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. How many different combinations of players are possible?2. There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. If the selection is random, what is the probability of selecting a team of 5 girls and 5 boys? what is the decimal?

Answers

Answer: 1. 286 different combinations of players are possible.

2. The probability of selecting a team of 5 girls and 5 boys is $(63)/(143)$ and the decimal is 0.4405...

Step-by-step explanation:

1. Number of girls is 6 and number of boys is 7.

So, the total number of players = 6+7 = 13

A team of 10 players is to be selected from the class.

So, the total possible number of different combinations of players will be: $^1^3C_(10) = (13!)/(10! (13-10)!)=(13*12*11*10!)/(10!*3!)= (13*12*11)/(6)=286$

2. Number of girls is 6 and number of boys is 7.

The possible number of teams by selecting 5 girls and 5 boys will be: $^6C_(5)* ^7C_(5) =6* 21= 126$

and the number of total possible teams of 10 players $= ^1^3C_(10) =286$

Thus, the probability of selecting a team of 5 girls and 5 boys $=(126)/(286)= (63)/(143)$ or $0.4405...$

a spinner marked with four sections blue, green, yellow, and red was spun 100 times. find the experimental probability of landing on blue

Answers

25 because onehundred divided by four is 25

What times what equals 63

Answers

Well its nine times seven that equals sixty three

Well this question has two answers, one of them is:
9*7=63
and the other one is
3*21=63

If a bird flies 4 hours, it can travel 15 miles. How many minutes doe sit take that bird to fly 90 miles? (PLEASE SHOW STEPS!)

Answers

240 minutes would be 4 hours. 15 miles times 6 is 90 miles. so you take 240 and times it by 6. which equals, 1440. so it would take 1440 minutes to fly 90 miles. hope this helps!

First figure out how many times 15 can go into 90.
90/15=6
So you now know that it takes him 6 times the amount of time. So you would multiply 4 and 6
4*6=24
It will take the bird 24 hours to travel 90 miles.
Hope this helps.

40/100 in simplest form