Answer:
y = (2/3)x + 1/3
Step-by-step explanation:
Check that a single straight line will actually go through all four of these points. Going from (1, 1) to (4, 3), the 'rise' is 2 and the 'run' is 3, which would make the slope, m, equal rise/run = 2/3. Going from (4,3) to (10, 7), m = rise/run = 4/6 = 2/3 (again).
Let's find the slope-intercept form of the equation of this line: y = mx + b
Arbitrarily choose the point (1, 1). Here x = 1, y = 1 and m = 2/3. Then
we have
1 = (2/3)(1) + b, or 1 = 2/3 + b, so that b must be 1/3.
The equation in question is y = (2/3)x + 1/3
It’s 0.3 because that’s the answer
The answer is C.
I hope this helps.
The answer is b. 100pi cm^2
Answer:
The number of nickels are 15 and the numbers of quarters are 13 .
Step-by-step explanation:
As given
The number of nickles = n
The number of quarter be q
As given
Yolanda paid for her movie ticket using 28 coins all nickles and quarters.
Than the equations becomes
n + q = 28
As given the ticket cost $4.
As
1 quarter = 0.25 dollar
1 nickel = 0.05 dollar
Than the equation becomes
0.05n + 0.25q = 4
Simplify the above

5n + 25q = 400
Than two equations are
n + q = 28 and 5n + 25q = 400
Multiply n + q = 28 by 5 and subtracted from 5n + 25q = 400 .
5n - 5n + 25q - 5q = 400 - 140
20q = 260

q = 13
Put in the equation n + q = 28
n + 13 = 28
n = 28 - 13
n = 15
Therefore the number of nickels are 15 and the numbers of quarters are 13 .