So18 is to 2 and54 is to 6
18:2 and 54:6
18/2 and 54/6
simplify
9/1 and 9/1
she is running at the same rate
so we need to do
t times something=k
its eems that she divided the time by 9
so
1/9t=k
the equation is 1/9t=k
Answer:
Step-by-step explanation:
x = (-b ± √ (b² - 4ac) )/2a.
Height of wall = 8 feet
1 feet = 12 inches
⇒ Height of wall = 8 × 12 inches
⇒ Height of wall = 96 inches
We know that the 4 shelves are to be placed such that that the 5 spaces created decrease by 7 inches as we move up the wall
Let height of 1st space = h inches
⇒ Height of 2nd space = h - 7 inches
⇒ Height of 3rd space = h - 14 inches
⇒ Height of 4th space = h - 21 inches
⇒ Height of 5th space = h - 28 inches
Thickness of each shelf = 3/4 inch
⇒ Thickness of 4 shelves = × 4 inches = 3 inches
So, Height of Wall = Height of 1st space + Height of 2nd space + Height of 3rd space + Height of 4th space + Height of 5th space + Thickness of 4 shelves
⇒ 96 = h + h - 7 + h - 14 + h -21 + h - 28 + 3
⇒ 95 = 5h - 70 + 3
⇒ 95 = 5h - 67
⇒ 5h = 162
⇒ h = 32.4 inches
So the first shelf is placed 32.4 inches from the floor
Y = mx + b ; where m is the slope and b is the y-intercept.
A) y = -2x + 3/2 ; The slope is -2
For the system of equation to have no solution, they must form parallel lines. Parallel lines have the same slope. They don't intersect, thus, there is no solution.
<span>C.) m = –2 and b = -1/3
</span><span>F.) m = –2 and b = -2/3
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