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STatiana [176]
2 years ago
9

The perimeter of a rectangular garden is 44 meters. The length of the rectangle is 5 less than twice the width. Find the length

and width of the rectangle.
please helppp
Mathematics
1 answer:
defon2 years ago
6 0

9514 1404 393

Answer:

  • width: 9 m
  • length: 13 m

Step-by-step explanation:

Let w represent the width. Then the length is 2w-5, and the perimeter is ...

  P = 2(L+W)

  44 = 2((2w-5) +w)

  44 = 6w -10

  54 = 6w

  9 = w

  2(9) -5 = 13 = length

The length of the rectangle is 13 meters; the width is 9 meters.

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A bag contains 1 red, 1 yellow, 1 blue, and 1 green marble. What is the probability of choosing a green marble, not replacing it
lys-0071 [83]

The probability for choosing green and red is \frac{1}{12}

<u>Solution:</u>

Given that , A bag contains 1 red, 1 yellow, 1 blue, and 1 green marble.

We have to find what is the probability of choosing a green marble, not replacing it, and then choosing a red marble?

Now, we know that,

\text { probability of an event }=\frac{\text { number of favourable outcomes }}{\text { total number of outcomes }}

So, total possible outcomes = 1 red + 1 yellow + 1 blue + 1 green = 4

\text { Now, probability for green marble }=\frac{1 \text { green marble }}{4 \text { marbles }}=\frac{1}{4}

And now, total outcomes will be only 3 as we are not replacing the picked marble.

\begin{array}{l}{\text { Then, probability for red marble }=\frac{1 \text { red marble }}{3 \text { marbles }}=\frac{1}{3}} \\\\ {\text { Then overall probability }=\frac{1}{4} \times \frac{1}{3}=\frac{1}{12}}\end{array}

Hence, the probability for choosing green and red is \frac{1}{12}

6 0
3 years ago
Read 2 more answers
Which equation has roots of 13 and -3
madreJ [45]
To get roots of 13 and -3 the simplified equation will have to look like this.
(X-13)(X+3)=0
So if we multiply this out with foil method we get this:

X^2 -10X -39

So the answer is A
3 0
2 years ago
Please help :’).......
Ymorist [56]
The answer is one over thirty two to the seventh power
6 0
3 years ago
Read 2 more answers
MATH HELP
elena-s [515]

The equation of line perpendicular to given line is:

y = \frac{2}{3}x-1

Step-by-step explanation:

Given equation is:

3x+2y = -8

First of all, we have to find the slope of the given line

So,

3x+2y = -8\\2y = -3x-8\\

Dividing both sides by 2

\frac{2y}{2} = \frac{-3x-8}{2}\\y = \frac{-3x}{2} - \frac{8}{2}\\y  =-\frac{3}{2}x-4

As the equation is in slope-intercept form, the co-efficient of x will be the slope of the line

m_1 = -\frac{3}{2}

As we know that product of slopes of two perpendicular lines is -1

Let m-2 be the slope of line perpendicular to given line

m_1.m_2 = -1\\-\frac{3}{2} . m_2 = -1\\m_2 = -1 * -\frac{2}{3}\\m_2 = \frac{2}{3}

Slope-intercept form is:

y = m_2x+b

putting the value of the slope

y = \frac{2}{3}x+b

Putting the point (3,1) in the equation

1 = \frac{2}{3}(3) +b\\1 = 2 + b\\b = 1-2\\b = -1

Putting the value of b

y = \frac{2}{3}x-1

Hence,

The equation of line perpendicular to given line is:

y = \frac{2}{3}x-1

Keywords: Slope-intercept form, slope

Learn more about equation of line at:

  • brainly.com/question/750742
  • brainly.com/question/7419893

#LearnwithBrainly

8 0
3 years ago
Solve the system by elimination.. x+5y-4z=-10. 2x-y+5z=-9. 2x-10y-5z=0. . a.) (5, –1, 0). b.) (–5, 1, 0). c.) (–5, –1, 0). d.) (
Troyanec [42]

Answer:

Your answer is option C … (-5, -1, 0)


Step-by-step explanation:


3 0
3 years ago
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