nothing can be further simplify in this problem
3 - 1/8a = 1/4
The goal is to isolate "a" and its coefficient to make the simplification process easier.
Start by subtracting 3 from both sides:
3 - 3 - 1/8a = 1/4 -3
-1/8a = 1/4 - 3
Next, multiply 3 by 4/4 to convert it into a fraction:
-1/8a = 1/4 - [3 • (4/4)]
-1/8a = 1/4 - 12/4
-1/8a = - 11/4
Multiply both sides by -8:
(-8) -1/8a = - 11/4 (-8)
a = 88/4 = 22
Therefore, a = 22.
Answer:
Fraction of bread used in the recipe is 3/12 which can be further simplified into 1/4
Explanation:
The original loaf of bread is 100% complete (no fraction is taken from it yet). This means that the value of the original loaf is 12/12
Now, assume that the fraction used in the recipe is x
We know that:
2/12 of the loaf was used in making a sandwich
7/12 of the oaf was put in the refrigerator
Therefore:
complete loaf = fraction used in making a sandwich + fraction used in making recipe + fraction put in refrigerator
12/12 = x + 2/12 + 7/12
12/12 = x + 9/12
x = 12/12 - 9/12
x = 3/12
Hope this helps :)
Answer:
Step-by-step explanation:
If the first floor of the Willis Tower is 21 feet high. and each additional floor is 12 feet high, then the floor heights as we move from one floor to another we keep increasing by 12feets and forms an arithmetic progression as shown;
21, (21+12), (21+12+12), ...
<em>21, 33, 45...</em>
a) To write an equation for the nth floor of the tower, we will have to find the nth term of the sequence using the formula for finding the nth term of an arithmetic sequence.
The nth term of an arithmetic sequence is expressed as 
a is the first term = 21
d is the common difference = 33-21 = 45-33 = 12
n is the number of terms
Substituting the given parameters into the formula;
<em>Hence the equation for the nth floor of the tower is expressed as </em>
<em></em>
<em></em>
b) To get the height of the 65th floor, we will substitute n = 65 into the formula arrived at in (a)
<em>Hence the height of the 65th floor is 789feets.</em>
Answers:
area = 50.24 square yards
circumference = 25.12 yards
values are approximate
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Work Shown:
d = 8 is the diameter
r = 4 is the radius, half the diameter
pi = 3.14 approximately
C = 2*pi*r = circumference
C = 2*3.14*4
C = 25.12 yards is the circumference. The circumference is the distance around the circle, aka the perimeter
An alternative formula you can use is C = pi*d
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A = area of circle
A = pi*r^2
A = 3.14*4^2
A = 50.24 square yards is the area
