This is an example of an arithmetic sequence.
On level one: a 1 = 13.On level twelve: a 12 = 123.The sum of all 12 levels:S n = n/2 * ( a 1 + a n )S 12 = 12/2 * ( a 1 + a 12 )S 12 = 6 * ( 13 + 123 )S 12 = 6 * 136S 12 = 816Answer: I will have 816 gems matched.
Answer: 37 1/3 cm
Step-by-step explanation:
Area = Length times width
4 2/3 times 8 = 37 1/3
Answer:
3.98/16= 0.24875 round up to make 0.25
5.98/32= 0.186875 round up to make 0.19
34.99/128= 0.273359375 = 0.27
Step-by-step explanation:
3.98/16= 0.24875 round up to make 0.25
5.98/32= 0.186875 round up to make 0.19
34.99/128= 0.273359375
Answer:
<h2>1</h2>
Step-by-step explanation:
Median of a dataset is the value at the centre of the dataset after rearrangement.
Given the data {8,x , 4,1}, the median of the set will be two values(x and 4). Since we have two values as the median, we will take their average.
Median of the first data set = x+4/2 ...(1)
For the second dataset {9,y , 5,2}, the median will be y+5/2
Since we are told that the medians of both datasets are equal, we will equate the value of the medians of both datasets as given below;
x+4/2 = y+5/2
cross multiplying;
2(x+4) = 2(y+5)
Dividing both sides by 2 will give;
x+4 = y+5
From the resulting equation;
y-x = 4-5
y-x = -1
(y-x)² = (-1)² = 1
Answer:
x= -120
Step-by-step explanation:
-x/6+6+6=32
- Use -a/b=a/-b= -a/-b to rewrite the fraction.
- -x/-6+6+6=32
- Add the two 6's then you get 12
- -x/-6+12=32
- Multiply both sides with the equation by 6
- -x+72=192
- Move the constant to the right-hand side and change its side
- -x=192+72
- Subtract the numbers, -x=192-72
- -x=120
- Change the signs on both sides of the equation
- You have your answer it is x= -120