First convert all the fractions so that they have a common denominator.
1/2= 8/16
1/8= 2/16 u multiply this by 2 because he is giving 2/16 to each of his 2 children so it’s 4/16
U then multiply 1/16 by 3 because he is giving 1/16 to each of his 3 grandchildren so 3/16 in total
Then add up all these fractions 8/16+4/16+3/16= 15/16
U know that he’s giving away the remaining 15,000 which is 16/16-15/16 so 1/16 of his total estate. Then u can set a proportion to find out his total estate 1/16=15,000/x and u get that x=$240,000
Answer:
3.5 meters times 100 is equal to 350 centimeters.
Step-by-step explanation:
Answer:
The relationship between the volumes of pyramids and prisms is that when a prism and pyramid have the same base and height, the volume of the pyramid is 1/3 of the volume of the prism.
Hope this helps!! ;)
Answer:
see explanation
Step-by-step explanation:
The hypotenuse is the longest side thus is (4x + 1)
The legs are 2x and (4x - 1)
Using Pythagoras' theorem, then
(4x + 1)² = (2x)² + (4x - 1)² ← expanding factors
16x² + 8x + 1 = 4x² + 16x² - 8x + 1 , that is
16x² + 8x + 1 = 20x² - 8x + 1 ( subtract 20x² - 8x + 1 from both sides )
- 4x² + 16x = 0 ( multiply through by - 1 )
4x² - 16x = 0 ← factor out 4x from each term
4x(x - 4) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
Now x > 0, thus x = 4
2x = 2(4) = 8
4x - 1 = 4(4) - 1 = 16 - 1 = 15
4x + 1 = 4(4) + 1 = 16 + 1 = 17
Thus
perimeter = 8 + 15 + 17 = 40 cm