The answer is 26. You do 10/1 multiplied by the reciprocal of 5/13 which is 13/5. If you multiply them you get 130/5 which when simplified is 26.
1a. Split the larger piece(1/3) into half to show the two pieces
1b. Both are 3/6 or 1/2
2a. It shows 1/2 +1/4
2b.cut it so there are 3 1/4 pieces, so cut the 1/2 piece horizontally in the middle
2c. 2/4 + 1/4 = 3/4. 1/2 + 1/4 = 3/4
Answer:
<h2>n = 8</h2>
Step-by-step explanation:
Given the nth term of an arithmetic sequence to be Tn = a+(n-1)d
a = first term of the sequence
n = number of terms
d = common difference.
Given the first element a = 2 and 22nd to be 14
T22 = a+(22-1)d = 14
a+21d = 14
Substtuting a = 2 into the equation to get d
2+21d = 14
21d = 12
d = 12/21
d = 4/7
The nth term of the sequence given a = 2 and d = 4/7 will be expressed as;
Tn = 2+(n-1)4/7
Given Tn = 6
6 = 2+(n-1)4/7
6 = 2+4/7 n - 4/7
6-2+4/7 = 4/7 n
32/7=4/7 n
32 = 4n
n = 32/4
n = 8
Answer:
c) 6x - 5y = 15
Step-by-step explanation:
Slope-intercept form of a linear equation: 
(where m is the slope and b is the y-intercept)
Maria's line: 
Therefore, the slope of Maria's line is 
If two lines are perpendicular to each other, the product of their slopes will be -1.
Therefore, the slope of Nate's line (m) is:

Therefore, the linear equation of Nate's line is:

Rearranging this to standard form:



Therefore, <u>option c</u> could be an equation for Nate's line.
5+5=10
y=5
b=5
the answer is 5 plus 5