Properties of equality have nothing to do with it. The associative and commutative properties of multiplication are used (along with the distributive property and the fact of arithmetic: 9 = 10 - 1).
All of these problems make use of the strategy, "look at what you have before you start work."
1. = (4·5)·(-3) = 20·(-3) = -60 . . . . if you know factors of 60, you can do this any way you like. It is convenient to ignore the sign until the final result.
2. = (2.25·4)·23 = 9·23 = 23·10 -23 = 230 -23 = 207 . . . . multiplication by 4 can clear the fraction in 2 1/4, so we choose to do that first. Multiplication by 9 can be done with a subtraction that is often easier than using ×9 facts.
4. = (2·5)·12·(-1) = 10·12·(-1) = (-1)·120 = -120 . . . . multiplying by 10 is about the easiest, so it is convenient to identify the factors of 10 and use them first. Again, it is convenient to ignore the sign until the end.
5. = 0 . . . . when a factor is zero, the product is zero
Hoi!
The correct answer would be "Daryl received two 3's as scores on his paper from the readers, but Sheila received two 6's."
When placing a number in a sentence before an S, it is to always have an apostrophe. Along with this, this is the only sentence that uses the correct form of "readers", since in this sentence, "readers" is being used as a plural noun, not a possessive noun.
Possessive nouns contain an apostrophe to show that something belongs to someone else.
Ex: That cat is her's.
The possessive noun is "her's" because it's showing that she is the owner of the cat.
As for plural tense, it speaks for more than one person or object.
Ex: The cats scrambled up the tree.
The plural noun is "cats" because it's referring to more than one cat.
:)
-(11,14,25) is the correct answer. the two shorter sides must add to a longer distance than the longest side.
The logarithmic expression is

To expand the expression we have to use some properties of logarithm.
We know that 
By using this property we can write,

Square root means to the power 1/2, so for
, we can write
.

Now we have to use another property of logarithm.
We know that, 
So we will use this property to 



Now we have to use another property of logarithm.
We know that, 
By using this property we can write,

This is the required aswer here.
The number of quarts of orange juice did Rebecca use is 7
Given that 28 glasses with orange juice are filled for a camp breakfast
Each glass holds 1 cup of juice
We need to find the number of quarts of orange juice did Rebecca use
We know that a quarts has 4 cups
We need to calculate the quarts from 28 glasses
Let the number of the quarts be x
So the equation formed is
4x = 28
Where x is number of quarts and 28 are the number of glasses
x = 7
Hence the number of quarts is 7
Learn more about Logical reasoning here
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