Answer:
The length = 35 ; The width = 12
Step-by-step explanation:
Perimeter = 2L + 2W
Length = x
Width = x - 23
94 = 2(x) + 2(x - 23)
94 = 2x + 2x - 46
94 = 4x - 46
94 + 46 = 4x
140 = 4x
140/4 = x
35 = x The length = 35; The width = (35 - 23) = 12
4/10 in simplest form:
First, we need to find the greatest common factor (GCF) of the numerator (4) and denominator (10). To do this, we'll list the factors of each number, find the common factors, and then the greatest.
Factors of 4: 1, 2, 4
Factors of 10: 1, 2, 5, 10
The common factors are 1 and 2, so the greatest common factor is 2.
Second, our next step is to divide the numerator and denominator by the GCF we recently found which is 2.

Third, our last step is to rewrite our fraction in its simplest form. Above, we collected our brand new numerator and denominator.

Answer in fraction form:

Answer in decimal form:
Answer:
attached pic
Step-by-step explanation:
Answer:
the compound probability is 1/8.
Step-by-step explanation:
1/4 for the spinner x 1/2 for the coin
Answer:
(x, y) = (4, 1)
Step-by-step explanation:
The coefficients of x are the same, so we can cancel the x-terms by subtracting one equation from the other. We want to do this so the resulting y-coefficient will be positive. That means we want to subtract the second equation from the first:
(-2x +y) -(-2x -4y) = (-7) -(-12)
5y = 5 . . . . . . . . simplify
y = 1 . . . . . . . . divide by 5
-2x +1 = -7 . . . . . substitute for y in the first equation
-2x = -8 . . . . . subtract 1
x = 4 . . . . . . divide by -2
The solution is (x, y) = (4, 1).
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A graphing calculator easily verifies the solution.