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pickupchik [31]
10 months ago
7

The remains of an ancient ball court include a rectangular playing alley with a perimeter of about 18m. The length of the alley

is two times the width. Find the length and the width of the playing alley.The width is ? m and the length is ? m.
Mathematics
1 answer:
mariarad [96]10 months ago
3 0

Given:

Perimeter = 18 m

The formula for the perimeter of a rectangle is:

P=2l+2w

Where:

l = lenght

w = width

In this case, we have that:

l = 2w

Therefore, we substitute the values in the formula:

\begin{gathered} P=2l+2w \\ 18=2(2w)+2w \end{gathered}

And solve for w:

\begin{gathered} 18=4w+2w \\ 18=6w \\ \frac{18}{6}=\frac{6w}{6} \\ w=3 \end{gathered}

For the length:

l=2w=2(3)=6

Answer:

The width is 3 m

The length is 6 m

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Grace [21]

The number of batches of salsa that can be made = x = 6 batches

The number of bat  tomato sauce that can be made = y = 3 batches

Step-by-step explanation:

We are given the system of equations:

x+5y=21\\x+y=9

where variable x represents the number of batches of salsa that can be made and y represents the number of bat  tomato sauce that can be made.

We need to solve the systems to find the values of x and y.

Let:

x+5y=21\,\,\,eq(1)\\x+y=9\,\,\,eq(2)

Subtract both equations:

x+5y=21\\x+y=9\\-\,\,\,-\,\,\,\,\,\,-\\------\\4y=12\\y=\frac{12}{4}\\y=3

So, value of y=3

Putting value of y in eq(2) and finding value of x:

x+y=9\\x+3=9\\x=9-3\\x=6

So, value of x=6

The number of batches of salsa that can be made = x = 6 batches

The number of bat  tomato sauce that can be made = y = 3 batches

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

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omeli [17]

Answer:

This is simple,

Step-by-step explanation:

If the bus costs 200$ and the fair charges 4$ per students that means you have to do this:

300$ budget - 200 of the bus = 100$ left

and if $4 per student:

100 divided by 4 = 25

she can take 25 students

Hope this helps!

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rjkz [21]
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Arada [10]

Answer:

x = 4 or x = -3/2

Step-by-step explanation:

To simplify and solve this, let's use the quadratic formula.

So the format of a quadratic equation is supposed look like this:

ax^2+bx+c=0

Let's find a, b, c:

  • a is the coefficient of x^2
  • b is the coefficient of x
  • c is the constant term

Now let's solve the equation.

Let's solve your equation step-by-step.

2x^2−5x−12=0

For this equation: a=2, b=-5, c=-12

2x^2+−5x+−12=0

Step 1: Use quadratic formula with a=2, b=-5, c=-12.

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\frac{-(-5)\pm\sqrt{(-5)^2-4(2)(-12)} }{2(2)}

x=\frac{5\pm\sqrt{121} }{4}

x=4 or x=\frac{-3}{2}

<u />

<u>Answer:</u>

x = 4 or x = -3/2

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600 cubic yds of dirt needs to be removed

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