Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books
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QUESTION A
The given multiplication problem is
Factor each term to obtain;
Cancel out the common factors to obtain;
Simplify to get;
QUESTION B
The given multiplication problem is
This the same as
This simplifies to;
QUESTION C
The given problem is
This is the same as
This simplifies to
QUESTION D.
The given expression is
Factor the 54 to obtain;
Cancel the common factors to get;
This simplifies to;
QUESTION E
The given problem is
Convert the mixed numbers to improper fraction to obtain;
Cancel the common factors to get;
QUESTION F
The multiplication problem is
Convert the mixed numbers to improper fractions to obtain;
Cancel out the common factors to get;
Simplify;
QUESTION G
The given problem is
Convert to improper fractions;
Cancel out the common factors to get;
Convert back to mixed numbers
QUESTION H
The given expression is
Convert to improper fraction to get;
Cancel common factors to get;
Simplify
Convert back to mixed numbers;
Answer:
Please check the explanation below.
Step-by-step explanation:
Some of the properties are defined as:
- <em>Distributive property</em>
For example,
suppose a=3, b=4, c=5
3(4+5) = 3(4) + 3(5)
3(9) = 12+15
27 = 27
- <em>Subtraction property of Equality</em>
if (a=b), then a-c = b-c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a-c = b-c ⇒ 2-5 = 2- 5 ⇒ -3 = -3
- <em>Addition property of Equality</em>
if (a=b), then a+c = b+c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a+c = b+c ⇒ 2+3 = 2+3 ⇒ 5 = 5
- <em>Multiplicative property of Equality</em>
if (a=b), then a×c = b×c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a×c = b×c ⇒ 2×5 = 2 × 5 ⇒ 10 = 10
- <em>Division property of Equality</em>
if (a=b), then a÷c = b÷c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a÷c = b÷c ⇒ 2÷5 = 2 ÷ 3 ⇒ 2/5 = 2/5
Let us solve the given equation using the above properties.
7n-16=47 Given
7n-16+16=47+16 1) Addtion property of Equality ∵ if (a=b), then a+c = b+c
7n=63 2) simplify
n = 9 3) Division property of Equality ∵ if (a=b), then a÷c = b÷c