Answer:
No Solution
Explanation:
Given the equation:

Step 1: Distribute the terms in the left-hand side.

Step 2: Collect like terms.

Therefore, the equation has No Solution.

since we know the <u>common difference</u> is d is 6, then to get from the 6th term to the 10th term, we use d 4 more times.
6th term..................37
7th term...................37 + 6
8th term...................37 + 6 + 6
9th term...................37 + 6 + 6 + 6
10th term...................37 + 6 + 6 + 6 + 6
.....................................61.
Answer:
Option A is correct
3.33 ft wide should the metal piece be.
Step-by-step explanation:
Area of rectangle(A) is given by:
.....[1]
l is the length and w is the width of the rectangle respectively.
As per the statement:
One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is 30 ft²
⇒A = 30 ft²
It is also given that the length is 1 less than 3 times the width
⇒
ft
Substitute the given values in [1] we have;

Using distributive property: 
then;

We can write this as:

Factorize this equation:
Split the middle term we have;

⇒
⇒
By zero product property we have;
and w+3 = 0
Since, w cannot be negative;
so,
ft
Therefore, to the nearest hundredth of a foot, 3.33 ft wide should the metal piece be.
Answer:
1)0
2)3/8
Step-by-step explanation:
2)total number of participants who are at least 20 years old = 3
Total number of participants= 8
Answer:
Area=2232 square ft
Perimeter=206 ft
Step-by-step explanation:
given
the diagram is a rectangle
length=72 ft
width=31 ft
we know that
formula of the area of rectangle= length × width
Area=72×31 square ft
Area=2232 square ft
Now calculate the perimeter
perimeter of rectangle=2(length+width)
perimeter=2(72+31)
perimeter=2(103)
perimeter=206 ft