Answer:
The original piece of wood is 108 cm
Step-by-step explanation:
From the given ratio, the shortest is of the ratio 5 and the longest is of the ratio 7
Let the original piece of wood be x
so the sum of the ratios will be;
5 + 6 + 6 + 7 = 24
the shortest length would be 5/24 * x
= 5x/24
the longest will be 7/24 * x = 7x/24
From the question;
7x/24 -5x/24 = 9
(7x-5x) = 24(9)
2x = 24(9)
x = (24 * 9)/2
x = 108 cm
Area is length times width. Therefore, width is area divided by length. Convert 11 7/8 to the improper fraction 95/8 and convert 4 3/4 to 19/4. Then, you can fine 95/8 divided by 19/4 by flipping the second fraction and multiplying so that you have 95/8 times 4/19. 4 times 95 is 380 and 8 times 19 is 152. Therefore, the answer is 380/152. This is equivalent to 5/2 or 2.5.
Answer: For y it's y=4x−12 and for x it's x=12+y/4
Step-by-step explanation:
SOLVING FOR X
8x-2y=24
2(4x−y)=24
4x−y=24/2
4x−y=12
4x=12+y
x=12+y/4
SOLVING FOR Y
8x-2y=24
2(4x−y)=24
4x−y=24/2
4x−y=12
−y=12−4x
y=−12+4x
y=4x−12
Hope this helps, have a BLESSED AND WONDERFUL DAY! As well as a great Black History Month and Valentine's day! :-)
- Cutiepatutie ☺❀❤
Answer:

Step-by-step explanation:
An Improper Fraction has a top number larger than (or equal to) the bottom number.
To convert a whole number -12 into an improper fraction we can divide the whole number by one to turn it into a temporary fraction.

Also we could multiply and divide -12 by another number greater than one, for example:

There are several ways we can write -12 in the improper fraction form.