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ira [324]
3 years ago
15

The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 22 meters and its length is 2 meters

more than twice its length
Mathematics
2 answers:
Nitella [24]3 years ago
7 0
Hello,
Let l represent length
w represent width
P represent perimeter

P=2(l+w)
22=2(l+w)
Divide 2 from both side
22/2=2(l+w)/2
11=l+w

l=2w+2
Apply this into the first equation
2w+2+w=11
3w+2=11
Subtract 2 from both side
3w+2-2=11-2
3w=9
Divided 3 from both side
3w/3=9/3
w=3 meters
l=2w+2
l=2(3)+2
l=8 meters
If you want to find the area
A=l×w
A=8×3
A=24 square meters. As a result, the length of this rectangle is 8 meters, width is 3 meters, and area is 24 square meters. Hope it help!
Leto [7]3 years ago
5 0
Perimeter=22cm
width=x
length=2x+2

2(3x+2)=22
6x+4=22
6x=18
x=3

width=3
length=8

area=3x8
=24m2
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Solve for x: <br>5x - 3y = 22<br> 10x - 4y = 46​
Alik [6]

Answer:

x=5, y=1

Step-by-step explanation:

Isolate x for 5x-3y=22

5x-3y=22

Add 3y to both sides

5x-3y+3y=22+3y

Simplify

5x=22+3y

Divide both sides by 5

5x/5=22/5+3y/5

Simplify

x=22+3y/5

Substitute  x=22+3y/5

10*22+3y/5-4y=46

Simplify 10*22+3y/5-4y

10*22+3y/5=2(3y+22)

=2(3y+22)-4y

Expand 2(3y+22)

=6y+44-4y

Simplify 6y+44-4y

=2y+44

Isolate y for 2y+44=46

2y+44=46

Subtract 44 from both sides:

2y+44-44=46-44

Simplify

2y=2

Divide both sides by 2;

2y/2=2/2

Simplify;

y=1

For x=22+3*1/5 substitute y=1

y=22+3*1/5

22+3*1=25

=25/5

Divide the numbers;25/5=5

=5

x=5

The solutions to the system of equations are;

x=5, y=1

8 0
3 years ago
What is the value of x?<br> 2<br> X°/(x-8°<br> J K<br> H
Brums [2.3K]

Answer:

i think 12

Step-by-step explanation:just guess lol

4 0
3 years ago
Please help thanks!
sp2606 [1]
To find the slope when you are given two point your can use y2 - y1over x2-x1
Ex: on number four 2 would be your x1 and -5 would be your y1 so the -1 would be your x2 and 7 would be your y2

And for the ones that give you slope you would use y= mx+b
Ex: on number one your equation would be 4=3/4(8)+b


Hope this helps :)
5 0
3 years ago
Helppppp i don’t understand!!
brilliants [131]
So practically, it’s asking you to rearrange the formula to make it equal the value given:

h=A/ 1/2b
w=V/lh
b=A/h
6 0
3 years ago
A study conducted at a certain college shows that 54% of the school's graduates move to a different state after graduating. Find
Elenna [48]

Answer:

99.56% probability that among 7 randomly selected graduates, at least one moves to a different state after graduating.

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they move to a different state, or they do not. The probability of a graduate moving to a different state is independent of other graduates. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

54% of the school's graduates move to a different state after graduating.

This means that p = 0.54

7 randomly selected graduates

This means that n = 7

Find the probability that among 7 randomly selected graduates, at least one moves to a different state after graduating.

Either none moves, or at least one does. The sum of the probabilities of these events is 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). Then

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{7,0}.(0.54)^{0}.(0.46)^{7} = 0.0044

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0044 = 0.9956

99.56% probability that among 7 randomly selected graduates, at least one moves to a different state after graduating.

7 0
4 years ago
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