Answer:
3 inches
Step-by-step explanation:
If the dog chews off 4 inches every day, you first have to multiply the inches by the number of days, which in this case is 3 x 4, which equals 12. In 3 days, he chewed off 12 of the original 15 inches, leaving only 3 inches left.
The answer is
Final result :
x - 2
Step by step solution :
Step 1 :
1
Simplify —
3
Equation at the end of step 1 :
2 1
((—•x)-7)+((—•x)+5)
3 3
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 3 as the denominator :
5 5 • 3
5 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x + 5 • 3 x + 15
————————— = ——————
3 3
Equation at the end of step 2 :
2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 3 :
2
Simplify —
3
Equation at the end of step 3 :
2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 4 :
Rewriting the whole as an Equivalent Fraction :
4.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
7 7 • 3
7 = — = —————
1 3
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
2x - (7 • 3) 2x - 21
———————————— = ———————
3 3
Equation at the end of step 4 :
(2x - 21) (x + 15)
————————— + ————————
3 3
Step 5 :
Adding fractions which have a common denominator :
5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(2x-21) + (x+15) 3x - 6
———————————————— = ——————
3 3
Step 6 :
Pulling out like terms :
6.1 Pull out like factors :
3x - 6 = 3 • (x - 2)
Final result :
x - 2
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Answer:
60 inches long are the sides of the pillars.
Step-by-step explanation:
Given : A small bridge sits atop four cube shaped pillars that all have the same volume. the combined volume of the four pillars is 500 ft cubed.
To find : How many inches long are the sides of the pillars?
Solution :
Refer the attached picture below for Clarence of question.
The volume of the cube is 
Where, a is the side.
The combined volume of the four pillars is 500 ft cubed.
The volume of each cube is given by,
Substitute in the formula to get the side,
![a=\sqrt[3]{125}](https://tex.z-dn.net/?f=a%3D%5Csqrt%5B3%5D%7B125%7D)
We know, 1 feet = 12 inches
So, 5 feet =
inches
Therefore, 60 inches long are the sides of the pillars.
Combine the fractions by finding a common denominator.
10r+9/r(r+3)
cosec60=2/square root of 3
