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Sonbull [250]
3 years ago
5

The length of a rectangle is four time its width. If the permeter of the rectangle is 100yd, find i t s length and width.​

Mathematics
1 answer:
seropon [69]3 years ago
8 0

Answer:

So let us call the shorter side, i.e the width: 'x'

So each length is four times the width = 4x

The perimeter consists of two widths and two lengths and equals 50 inches.

So:

x+x+4x+4x=50

solve for x:

10x = 50

to find x divide both sides by 10:

10x/10 = 50/10

x=5

So width equals 5 in and length is four times this i.e. 4x5=20

To check: 5+5+20+20=50 !!!!

Step-by-step explanation:

here is your anserw for your work please rate me the most brainlest  in let me know if it right

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If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (StartFraction u Over v EndFraction) (x)?
Maslowich

Based on the calculations, an expression which is equivalent to [u/v](x) is: C. -x³ + x² - 1.

<u>Given the following data:</u>

  • u(x) = x⁵ – x⁴ + x²
  • v(x) = -x²

<h3>What is an expression?</h3>

An expression is a mathematical equation which is used to show the relationship that exist between two or more numerical quantities or variables.

In this exercise, we would evaluate the given expressions by factorizing the function u(x) as follows:

u(x) = x⁵ – x⁴ + x²

u(x) = x²(x³ – x² + 1)

Rewriting the expressions as a fraction, we have:

\frac{u(x)}{v(x)} = \frac{x^2(x^3 - x^2 + 1)}{-x^2}\\\\\frac{u(x)}{v(x)} = -(x^3 - x^2 + 1)\\\\\frac{u(x)}{v(x)} = -x^3 + x^2 - 1

Therefore, u(x)/v(x) = -x³ + x² - 1.

Read more on expressions here: brainly.com/question/12189823

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5 0
2 years ago
Sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and i
Black_prince [1.1K]

Question is Incomplete;Complete question is given below;

Sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and its length is 3 times its width. If x is the length and y is the width of the plot, set the equations of the system. Solve and determine the values of x and y. If the cost of fencing is $25 per meter, how much does Sam need to spend on fencing?

Answer:

Length of the plot (x) is 9 meter and width of the plot (y) is 3 meter.

Sam need to spend $225 on fencing.

Step-by-step explanation:

Given;

Perimeter of the plot =24 m

Length of the plot is denoted 'x'

Width of the plot is denoted by 'y'

Cost of Fencing = $25 per meter.

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

Also we need to find how much does Sam need to spend on fencing.

Solution:

Now given that;

length is 3 times its width.

so we get;

x=3y

Now we know that;

Perimeter of the rectangle is equal to 2 times sum of its length and width.

framing in equation form we get;

24=2(x+y)

But x=3y

so we get;

24 =2(3y+y)\\\\24=2(4y)\\\\24=8y

Dividing both side by 8 we get;

\frac{24}{8}=\frac{8y}{8}\\\\y =3\ m

Now width of the plot = 3 meter

Length of the plot x=3y=3\times3= 9\ m

Hence Length of the plot (x) is 9 meter and width of the plot (y) is 3 meter.

Now given that;

Sam wants to fence his rectangular garden plot along its length on the front side.

So we can say that;

Length to be fenced = 9 m

Cost of fencing = $25/meter

Cost of fencing the garden = 9\times 25= \$225

Hence Sam need to spend $225 on fencing.

3 0
4 years ago
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VikaD [51]

Answer:

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6 0
3 years ago
A savings account has an opening balance of $500 and will earn 2.5% annually. What will be the vakue of the deposit in 6 years?​
Maurinko [17]

500×(0.025)×(6)

= $75

5 0
4 years ago
Please help me it’s due todayy
kap26 [50]

Answer:

its 79

Step-by-step explanation:

4 0
3 years ago
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