Answer:
Step-by-step explanation:
Given
Required
Select true inequalities
Subtract 2.1 from both sides
This is true
Open brackets
Subtract 4 from both sides
This is also true
Answer:
The explicit formula for the given expression is 2 n - 3
Step-by-step explanation:
Here, the first term of sequence = -1
The common difference = 2
In a ARITHMETIC PROGRESSION:
The nth term of a sequence is given as
a(n) = a + (n-1) d
⇒ Here, a(n) = -1 + (n-1)(2)
= -1 + 2n -2
= 2n - 3
or, a(n) = 2n - 3
Hence, the explicit formula for the given expression is 2n - 3.
3 liters of soda
1.5 pints of sherbet
4.5 cups of ice
The length and width of the fence should be made 76.25 feet and 23.75 feet respectively. Also, the expression for the length is L = 3W + 5 and the perimeter is P = 2(4W + 5).
<h3>How to determine the fence's dimension?</h3>
Mathematically, the perimeter of a rectangle can be calculated by using this formula;
P = 2(L + W)
<u>Where:</u>
- P is the perimeter of a rectangle.
- L is the length of a rectangle.
- W is the width of a rectangle.
Since the length of this fence is 5 more than 3 times the width, we have:
L = 3W + 5
Substituting the given parameters into the formula, we have;
200 = 2(3W + 5 + W)
200 = 2(4W + 5)
200 = 8W + 10
8W = 190
W = 190/8
W = 23.75 feet.
For the length, we have:
L = 3W + 5
L = 3(23.75) + 5
L = 76.25 feet.
Read more on perimeter of a rectangle here: brainly.com/question/17107023
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