Answe5:5/9
Step-by-step explanation:
Answer:
77
Step-by-step explanation:
180-103=77
Answer:
(9, 6)
Step-by-step explanation:
the given points are
(3, 2)
(6, 4)
so, can you see, how the sequence continues ?
I see immediately that for every 3 additional units of x we add 2 units of y.
so, yes, the next point in the sequence is
(6 + 3, 4 + 2) = (9, 6).
so, this point (or ordered pair) follows the same ratio or proportional relationship between x and y as the points already in the graph.
in other words, they are on the same line following the same slope ("y coordinate change / x coordinate change" when going from one point on the line to another).
The new line will have the same slope as the old one.
y = x + 4
y = x + b is the new line
We solve for b by using (2,2)
When x = 2
y = 2
2 = 2 + b
b = 0
Therefore the new line is
y = x
Step-by-step explanation:
First, set up your problem:
(1) a = 7b from “Aaron has 7 times as many sheep as Beth”
(2) a + b = 608 from “both together had 608”
We can choose either equation to start with and solve for one of the two variables. Starting with equation (2), add =b to both sides:
a + b = b = 608 - b
So a = 608 - b
Substitute back into equation (1) replacing a with 608 - b:
608–b = 7b
Now we solve for b. First add b to both sides:
608 - b + b = 7b + b
Therefore:
608 = 8b
Divide both sides by 8 to get:
b = 608/8 = 76
Now substitute back into equation (1):
a = 7 * 76 = 532
So the final answer is
a = 532, Aaron had 532 sheep
b = 76, Beth had 76 sheep