The area of the rug is 36 1/4 square feet the rug is 8 3/4. what is the length of the rug?

Answers

Answer 1
Answer:

Answer:

Area of a rectangle(A) is multiply the length by its width.

i.e A = l * w where l is the length and w is the width of the rectangle respectively

As per the given statement:

The area of the rug is 36 1/4 square feet the rug is 8 3/4.

\text{Area of the rug} = 36(1)/(4) = (145)/(4)=36.25 square feet.

and

width of a rug(w) = 8(3)/(4) =8.75 feet.

By definition of area;

A = l * w

Substitute the given values we get;

36.25 = 8.75l

Divide both sides by 8.75 we get;

l=4.14285714 feet

Therefore, the length of the rug  is, 4.14285714 feet

Answer 2
Answer: 36.25 = 8.75*x
36.25/8.75 = x

x = 4.1428571429 feet in length

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Suppose the diameter of a circle is 10. What is its area?

Answers

Well hello again :3.  This is also quite simple.  The diameter of a circle is 2 times the radius.  So we can refit this into the equation and say that our new formula using diameter is pi(d^2/2).  Now we can say that 10/2 is 5 and 5^2 is 25.  Therefore your answer is 25pi or 78.54.  


To find area you must use the formula A= pi*radius. So the radius is always 1/2 of the diameter. 10/2 is 5.So your radius is 5. multiply 5 by 3.14, to get the area of 78.54

A park charges $7.50 per hour to rent a bike. The table shows the relationship between the number of hours, h, and the total cost, c. With the information in the table, which expression can be used to find c?

Answers

C=7.50h. C represents cost and h represents the amount of hours. The cost per hour is 7.50.

Answer:

let n be no of hours

7.5x n = c

Step-by-step explanation:

Simplify a squared x b x b four x b

Answers

Answthat 16 is 42,

Step-by-step explanation:

Understand factoring. ...

Divide by the smallest prime number possible. ...

Rewrite the square root as a multiplication problem. ...

Repeat with one of the remaining numbers. ...

Finish simplifying by "pulling out" an integer. ...

Multiply integers together if there are more than one.

Which is the equation of a line that has a slope of 1/2 and passes through point (2, -3)?

Answers

The equation of a line that has a slope of 1/2 and passes through point (2, -3) is 2y - x = -8

The standard equation of a line in slope-intercept form is expressed as:

y = mx + b where:

  • m is the slope
  • (x0, y0) is the point on the line

Given the following:

Slope = 1/2

(x0, y0) = (2, -3)

Substitute the given parameters into the formula above:

y - (-3) = 1/2(x-2)\ny + 3 = 1/2(x-2)\n2(y +3) = x - 2\n2y + 6 = x - 2\n2y -x = -2-6\n2y - x = -8\n

Hene the equation of a line that has a slope of 1/2 and passes through point (2, -3) is 2y - x = -8

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So for this, I will be making the equation using the slope-intercept form, which is y=mx+b (m = slope, b = y-intercept).

Since we have the slope, 1/2, we can just plug in (2,-3) into the equation and solve for b as such:

-3=(1)/(2)*2+b\n -3=1+b\n -4=b

Putting everything together, our equation is y = 1/2x - 4.

Simplify the expression. 55−4⋅5+12 Enter your answer in the box.

Answers

The simplifiedexpression is 47.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the liketerms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To simplify this expression, we need to follow the order of operations, which is:

PEMDAS:

Parentheses, Exponents, Multiplication, Division (from left to right), and Addition and Subtraction (from left to right).

There are no parentheses or exponents in the expression, so we move on to multiplication and division.

We have 4 times 5, which is 20.

55 - 20 + 12

Now we can perform addition and subtraction.

We have 55 minus 20, which is 35.

35 + 12 = 47

Therefore,

The simplifiedexpression is 47.

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Answer:

The answer is 47.

Step-by-step explanation:

From PEMDAS we know that for this problem, we do the Multiplication first, then the Addition and Subtraction.

55-4*5+12 =

55-20+12 =

35 + 12 = 47

4-50:The graph at the right contains the lines for y=x+2 and y=2x-1
a.) Using the graph,what is the solution to this system?
b.) Solve the system algebraically to confirm your answer to part (a).

Answers

a.) By using the graph, the solution to this system is (3, 5).

b.) Solving the system algebraically gives the same answer in part (a).

How to graphically solve this system of equations?

In order to graphically determine the solution for this system of linear equations on a coordinate plane, we would make use of an online graphing calculator to plot the given system of linear equations while taking note of the point of intersection;

y=x+2          ......equation 1.

y=2x-1        ......equation 2.

Part a.

Based on the graph shown, we can logically deduce that the solution for this system is represented by the ordered pair (3, 5) in quadrant I.

Part b.

By using the substitution method to substitute for y, we would set the two equations equal to one another;

x + 2 = 2x - 1

2x - x = 1 + 2

x = 3

y = x + 2

y = 3 + 2

y = 5.

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x=3 and y=5. To solve the system algebraically, I think you just have to plug in the answers. I'm not quite sure for (b)