Answer:
multiplication property of equality
Step-by-step explanation:
Since we are multiplying by the same amount on each side, we are using the multiplication property of equality
Answer: Multiplication Property of Equality
Step-by-step explanation:
This property states that while simplifying an expression, you can multiply both sides of the equation by any number, and it will stay true. This property is useful here, because multiplying a fraction by its reciprocal = 1, so the expression would become 1x=-128.
Hope it helps <3
Score. Number of students
0. 2
1. 1
2. 3
3, 6
4. 2
5. 3
6. 2
Based on the table, what is the mean hockey score?
2.7
2.9
3.2
5.2
Answer: 3.2
Step-by-step explanation:
Mean is sum of values, divided by number of examples.
If we write down score for each student, we will receive a long list of scores:
0,0,1,2,2,2,3,3,3,3,3,3,4,4,5,5,5,6,6
Now let's sum total scores achieved by students:
0+0+1+2+2+2+3+3+3+3+3+3+4+4+5+5+5+6+6 = 60
So sum of our values (scores) is 60.
Number of examples in our case is number of students, so, total number of students is:
2+1+3+6+2+3+2=19
So mean score in this group can be calculated as:
mean
= total sum / number of examples
= sum of scores / number of students
= 60/19
= 3,158
So closes answer is 3.2.
is 13 ?
F. 10.5
G. 14.5
H. 18
J. 21.25
K. 39.5
The sum of the first 4 terms of the arithmetic sequence where the 6th term is 8 and the 10th term is 13 is 14.5.
In an arithmetic sequence, the difference between consecutive terms is constant. This difference is commonly called the common difference. Given that the 6th term is 8 and the 10th term is 13, we can calculate this common difference.
The common difference is (13 - 8) / (10 - 6) = 5 / 4 = 1.25.
The common difference is backward from the 6th term to the first term or we can say the 6th term minus 5 times the common difference will give us the first term. Therefore, the first term is 8 - 5*1.25 = 8 - 6.25 = 1.75.
The sum of the first 4 terms of an arithmetic sequence is given by the formula S = n/2 *[2a + (n-1)*d], where 'n' is the number of terms (in this case 4), 'a' is the first term, and 'd' is the common difference.
Therefore, substituting our known values into the formula gives us: S = 4/2 *[2*1.75 + (4-1)*1.25] = 2*[3.5 + 3.75] = 2*7.25 = 14.5
James started tutoring children several times a week. The first 2 weeks he had to buy tutoring supplies and had losses of $40 and $56. The next three weeks he made a profit of $105, $70, and $140. At the end of the 6 weeks, he had a net profit of $252.
(b) What was James's average profit or loss for the 6 weeks? Show your work.
This is on k12, please help me!
5x – 2y + z = 0
2x – y + z = 3
3x + 4y = 18
Answer:
x= 2/5 y - 1/5 z
x= 3/2 + 1/2 y -1/2 z
x = 6 - 4/3 y
Step-by-step explanation:
5x – 2y + z = 0
5x=2y-z
* Moving variables to the right side and changing their signs
* divide both sides by 5
Answer: x= 2/5 y - 1/5 z
2x - y + z = 3
2x = 3 + y - 2
Answer: x= 3/2 + 1/2 y -1/2 z
* move variables to the right sides and change their signs
* divide both sides by 2
3x + 4 y = 18
3x/3 = 18 - 4/3
Answer: x = 6 - 4/3 y
* Move variables to the right side and change its sign
* divide both sides by 3