Answer: 9
Step-by-step explanation: The common difference is the difference between each of the terms in an arithmetic sequence.
Let's work backwards.
First, we take the last term we are given and
subtract the second to last term.
So here, we subtract 23 - 14 to get 9.
Now, we take 14 - 5 to get 9.
Notice that 9 is our answer in both problems above.
That means it's our common difference.
Answer:5 1/2
Step-by-step explanation:5 1/2= 5.50
5 1/4= 5.25
5.50>5.25
Answer: I’m pretty sure it’s 5 1/2
Step-by-step explanation:
Answer:
The length of the rectangle is 16 yards
The width of the rectangle is 9 yards
Step-by-step explanation:
The given parameters are;
The perimeter of the rectangle = 50 yards
The width, W of the rectangle = 1 + Length, L/2
Therefore we have;
W = 1 + L/2
2 × W + 2 × L = 50
2 × (1 + L/2) + 2 × L = 50
2 + L + 2·L = 50
3·L = 50 - 2 = 48
L = 48/3 = 16
The length, L = 16 yards
The width, W = 1 + L/2 = 1 + 16/2 = 1 + 8 = 9
The width, W = 9 yards.
y 24 48 72 96
B. x 8 9 10 11
y 24 48 72 96
C. x 32 33 34 35
y 96 72 48 24
D. x 32 36 40 44
y 96 112 128 144
The solution is Option A.
x = { 8 , 16 , 24 , 32 }
y = { 24 , 48 , 72 , 96 }
The table shows a proportional relationship as y = 3x
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Let the values in the set x be Set A = { 8 , 16 , 24 , 32 }
Let the values in the set y be Set B = { 24 , 48 , 72 , 96 }
Now , the relationship between the first element of set A and the first element of set B is y = ab
where a is the constant of proportionality
Now , substituting the values of x and y , we get
24 = 8a
Divide by 8 on both sides of the equation , we get
a = 3
Therefore , the proportional relationship between x and y is y = 3x
24 = 3 x 8
48 = 3 x 16
72 = 3 x 24
96 = 3 x 32
Hence , The table shows a proportional relationship as y = 3x
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