£480
2:3:7 = 2+3+7 = 12
2
--- 0f £480 = £80
12
3
--- of £480 = £120
12
7
--- of £480 = £280
12
answer = £80 : £120 : £280
Steps to solve:
-6w - 8 + 15w = 2w - 8 + 7w
~Combine like terms
9w - 8 = 9w - 8
~Add 8 to both sides
9w = 9w
~Divide 9 to both sides
0 = 0
All real numbers are solutions.
Set builder notation: {x | R}
Best of Luck!
The length of the base of the pyramid is 9 inches
<em><u>Solution:</u></em>
<em><u>The volume of pyramid is given by formula:</u></em>
Where, "l" is the length and "w" is the width and "h" is the height
Given that,
volume of pyramid = 81 cubic inches
Also given that, l equals w equals 3 h
<h3>l = w = 3h </h3>
Substitute the values in formula,
![81 = \frac{3h \times 3h \times h}{3}\\\\81 = 3h^3\\\\h^3 = 27\\\\\text{Take cube root on both sides }\\\\h = \sqrt[3]{27} \\\\h = \sqrt[3]{3 \times 3 \times 3} = \sqrt[3]{3^3} \\\\h = 3](https://tex.z-dn.net/?f=81%20%3D%20%5Cfrac%7B3h%20%5Ctimes%203h%20%5Ctimes%20h%7D%7B3%7D%5C%5C%5C%5C81%20%3D%203h%5E3%5C%5C%5C%5Ch%5E3%20%3D%2027%5C%5C%5C%5C%5Ctext%7BTake%20cube%20root%20on%20both%20sides%20%7D%5C%5C%5C%5Ch%20%3D%20%5Csqrt%5B3%5D%7B27%7D%20%5C%5C%5C%5Ch%20%3D%20%5Csqrt%5B3%5D%7B3%20%5Ctimes%203%20%5Ctimes%203%7D%20%3D%20%5Csqrt%5B3%5D%7B3%5E3%7D%20%5C%5C%5C%5Ch%20%3D%203)
Thus height = 3 inches
We have to find the length
l = 3h
l = 3(3) = 9
Thus length of the base of the pyramid is 9 inches
Answer:
867000 / 1000
Step-by-step explanation:
To express in the form of a fraction :
An expression could be said to be in fraction form, if written in the form ; a/b ; where a = numerator and b = denominator
Hence the number :
867 m could be expressed as a fraction :
867 / 1 where 867 = numerator ; 1 = denominator
Or
867000 / 1000 ; 867000 = numerator ; 1000 = denominator
The denominator cannot equal zero. Set the expression on the denominator = to zero to find the value that must be excluded.
6x - 72 = 0
add 72 to both sides
6x = 72
Divide both sides by 6
x = 9
The excluded value is 9.
