Answer:
Area of a rectangle(A) is multiply the length by its width.
i.e 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.
⇒ square feet.
and
width of a rug(w) = feet.
By definition of area;
Substitute the given values we get;
Divide both sides by 8.75 we get;
l=4.14285714 feet
Therefore, the length of the rug is, 4.14285714 feet
Answer:
let n be no of hours
7.5x n = c
Step-by-step explanation:
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.
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:
Given the following:
Slope = 1/2
(x0, y0) = (2, -3)
Substitute the given parameters into the formula above:
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:
Putting everything together, our equation is y = 1/2x - 4.
The simplifiedexpression is 47.
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
a.) Using the graph,what is the solution to this system?
b.) Solve the system algebraically to confirm your answer to part (a).
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).
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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