Answer:
Positive: Decimals are a part of a whole just like fractions are a part of a whole. Therefore, a positive decimal is always greater than a negative decimal.
Negative: When you have two negative decimals, the one closer to zero is always greater. The farther a negative decimal is from zero, the smaller its value.
All of it put together (same text as above):
Decimals are a part of a whole just like fractions are a part of a whole. Therefore, a positive decimal is ALWAYS greater than a negative decimal. When you have two negative decimals, the one closer to zero is always greater. The farther a negative decimal is from zero, the smaller its value.
Answer:
The length is 8 inches and the width is 3 inches
Step-by-step explanation:
Let w represent the width.
The length can be represented by 2w + 2
Use the area formula, A = lw, and plug in the area and the expressions for the length and width:
A = lw
24 = (2w + 2)(w)
Simplify and solve for w:
24 = 2w² + 2w
2w² + 2w - 24
Divide everything by 2:
w² + w - 12
Factor:
(w + 4)(w - 3)
Set equal to 0 and solve for each factor:
w + 4 = 0
w = -4
w - 3 = 0
w = 3
Since the width cannot be negative, the width has to be 3.
Next, find the length by plugging in 3 as w:
2w + 2
2(3) + 2
= 8
So, the length is 8 inches and the width is 3 inches
The representation of the equation given in the task content; 2/5 v + 3/4 = 2/3x² as a s sentence is; The sum of Two-fifths of a number, v and quarters is equal to two-thirds of the square of the number x.
<h3>What is the representation of the equation as given in the task content?</h3>
It follows from the convention that the following fractions can be named as follows;
- 2/5 means two-fifths.
- 3/4 means three-quarters.
- 2/3 means two-thirds.
Hence, it follows from the iterations above and how they relate to the equation given in the task content that the representation is; The sum of Two-fifths of a number, v and quarters is equal to two-thirds of the square of the number x.
Read more on equations as words;
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2x² - 3xy
2(1)² - 3(1)(2)
2(1) - 3(2)
2 - 6
-4
The answer to the question is a
