Answer:
<em>-26</em>
Step-by-step explanation:
Given the sequence:
16, 9, 2, –5, ...,
To find:
7th measurement, if the above sequence continues:
Solution:
Let us examine the given sequence first:
First term is 16
Second term = 9
Third term = 2
Fourth term = -5
Difference between 2nd and 1st term = 9 - 16 = -7
Difference between 3rd and 2nd term = 2 - 9 = -7
Difference between 4th and 3rd term = -5 - 2 = -7
We can see that there is a common difference of -7 between each term.
That means, the sequence is in Arithmetic Progression.
whose first term,
Common difference,
To find:
7th term i.e.
Solution:
Formula for term of an Arithmetic Progression is given as:
Let us put
7th measurement will be <em>-26.</em>
Answer:
x
Step-by-step explanation:
f(x)=2x+5
Input: x
Output: f(x)
For i.e:
Input: 1
Output: f(1) = 2(1) + 5 = 2 + 5 = 7
Answer:
Length = 28 m
Width = 15 m
Step-by-step explanation:
Court is rectangular in shape.
Now, we are told that;
Length is 2m less than twice the width(W) .
Thus;
Length; L = 2W - 2
We are told the perimeter is 86 m.
Formula for perimeter of a rectangle is;
P = 2(L + W)
Thus;
2((2W - 2) + W) = 86
Divide both sides by 2 to get;
(2W - 2) + W = 43
3W - 2 = 43
3W = 43 + 2
3W = 45
W = 45/3
W = 15 m
Thus; L = 2(15) - 2
L = 30 - 2
L = 28 m
(8y + 2) + (25y - 20) = 180 {interior angles on the parallel lines add up to 180)
Remove brackets:
8y + 2 + 25y - 20 = 180
Combine like terms:
33y - 18 = 180
Add 18 to both sides:
33y = 198
Divide both sides by 33:
y = 6
Answer: y = 6
(10x) + (8y + 2) = 180 {Adjacent angles on a straight line add up to 180)
Plug y = 6 into the equation:
(10x) + (8(6) + 2) = 180
Evaluate the bracket:
10x + 50 = 180
Subtract 50 from both sides:
10x = 130
Divide both sides by 10:
x = 13
Answer: x = 13
1 nickel = 5 cents
1 dollar = 20 nickels
You can make 13 dollars plus 16 nickels left over
20 * 13 = 260
then 260 + 16 = 276