Answer:
We are given that the frame is 2 units wide, which means that we subtract the length of the outer frame by 2 units for each side:
7 - 2 -2 = 3
9 - 2 -2 = 5
Now, we have the length and width for the smaller rectangle, so we use the area formula (area = length*width) to get:
3*5 = 15
Step-by-step explanation:
Please support my answer.
For this case we must solve the following quadratic equation:

Where:

The solution is given by:

Substituting:

Thus, we have two roots:

ANswer:

Laura's age is 9 years.
Solution:
Let x be the age of April.
Laura's age = 2 years more than half of April's age
<u>Convert statement into algebraic expression:</u>
Half of April's age = 
2 years more than half of April's age = 
Combined age of April and Laura = 23
⇒ April's age + Laura's age = 23



To add the fractions make the denominators same.
Multiplying 2 on both numerator and denominator of unlike terms, we get


Denominators are same, now add the fractions.

Do cross multiplication.




Aprils's age = 14 years
Laura's age = 
= 7 + 2
Laura's age = 9
Hence Laura's age is 9 years.
The equivalent expression to given expression is 1/3.
<h3>What is Equivalent Expression?</h3>
Equivalent expressions are defined as algebraic expressions which give the same resulting expression. An algebraic expression (or) a variable expression is defined as a combination of terms by the operations such as addition, subtraction, multiplication, division.
Here, given expression

= 
= 
= 1/3
Thus, the equivalent expression to given expression is 1/3.
Learn more about equivalent expression from:
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Answer:
38 Tables
Step-by-step explanation:
First, we need to add the number of students with the number of adults to get the total number of people attending the picnic.
182 + 274 = 456
Next, we divide that number by how many people fit at each table to find how many tables we need.
456 people ÷ 12 people at each table = 38 tables.