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3 years ago

Steven has a rectangular rug with a perimeter of 16 feet. The width of the rug is 5 feet. What is the length of the rug?

1 answer:

8 0

$\boxed{\boxed{\text{Perimeter = 2(Length + Width)}}}$

Given that the perimeter is 16ft and width is 5 ft,
$16 = 2( Length + 5)$

Distribute 2:
$16 = 2Length + 10$

Take away 10 from both sides:
$2Length = 16 - 10$

Evaluate the right hand side:
$2Length = 6$

Divide by 2 on both sides:
$Length = 3$

$\boxed{\boxed{\text{Answer: Length = 3 ft}}}$

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Help me with this problem

ryzh [129]

Answer:

Looking at the given points we know that it is going to be a triangle because it only have 3 points. Therefore the figure is a triangle and the area formula would be $A=\frac{1}{2}*b*h$ .

You can look at the attached graph and what we see is that our height of the triangle is from $y=-3$ to $y=4$ which means that our height is 7 units high. We can also see that our base starts at $x=-4$ and ends at $x=4$ making us have a base of 8 units.

We then plug in the values and solve

$A = \frac{1}{2}*7\ units * 8\ units$

$A = \frac{1}{2}*56\ units^2$

$A = 28\ units^2$

Therefore, the area of our triangle is $28\ units^2$

Hope this helps! Let me know if you have any questions

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1 year ago

A school has over 500 students, 30 English teachers, and 20 math teachers. What is the ratio between the number of math teachers

aliina [53]

The ratio is 1:25 (simplified) or 20:500

6 0

2 years ago

How to solve -66.17738=6.618(4.3x+1.1)-7.1(x-6.8) have not done algebra in 30 years and cannot help my son with this problem

fenix001 [56]

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

−66.17738=6.618(4.3x+1.1)−7.1(x−6.8)

Step 1: Simplify both sides of the equation.

−66.17738=6.618(4.3x+1.1)−7.1(x−6.8)

−66.17738=(6.618)(4.3x)+(6.618)(1.1)+(−7.1)(x)+(−7.1)(−6.8)(Distribute)

−66.17738=28.4574x+7.2798+−7.1x+48.28

−66.17738=(28.4574x+−7.1x)+(7.2798+48.28)(Combine Like Terms)

−66.17738=21.3574x+55.5598

Step 2: Flip the equation.

21.3574x+55.5598=−66.17738

Step 3: Subtract 55.5598 from both sides.

21.3574x+55.5598−55.5598=−66.17738−55.5598

21.3574x=−121.73718

Step 4: Divide both sides by 21.3574.

21.3574x

21.3574

−121.73718

21.3574

x=−5.7

4 0

2 years ago

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Please help me!

SIZIF [17.4K]

4x + 3y = 12
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multiply bottom by 2
4x + 3y = 12
-4x - 10y = 2
add both equations
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divide by 7
y = -2
plug into first equation
4x + 3(-2) = 12
solve for x
4x = 18
x = 4.5

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2 years ago

What is the area of a circular cardboard piece needed for the base of a model of a volcano that is 20 centimeters tall and has a

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Answer:

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2 years ago

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