Answer:
A) x = 0, 2
Step-by-step explanation:
(x + 4) / 6x = 1 / x
this is a proportion, so you can cross-multiply and get:
x(x + 4) = 6x
x² + 4x = 6x
x² - 2x = 0
x(x - 2) = 0
x = 0
x - 2 = 0 so, x = 2
Answer:
Mr. Garcia had 5 kilograms of blueberries at first
Step-by-step explanation:
to make this easiest, we can imagine that we're undoing mr. garcia's actions.
So, we can start by 'unpacking' mr garcia's bags
we know that each of the nine bags had 1/4 kilograms, so we can multiply 1/4 by 9 to find the collective mass packed into bags
(remember, multiplication is repeated addition. we could also add 1/4 + 1/4 + 1/4... nine times, but this would take a while)
so,
1/4 x 9 = 9/4
(9 = 9/1 [if that is how you're used to multiplying a fraction])
Then, he also sold 2 3/4 kilograms
so, we can add 2 3/4 + 9/4 to find the total mass of the blueberries at first
2 3/4 + 9/4 = 2 + 12/4
(12/4 = 3)
2 + 3 = 5
So, Mr. Garcia had 5 kilograms of blueberries at first
Answer:
Range of player's height = 9 inch
Step-by-step explanation:
Given:
Number of players Height range
4 66-67
8 68 -69
14 70-71
9 72-73
1 74-75
Find:
Range of player's height
Computation:
Range = Maximum value - Minimum Value
Range of player's height = Maximum height of a player - height of a player
Range of player's height = 75 inch - 66 inch
Range of player's height = 9 inch
Given that the team starts with a score of 0, after skipping 8 turns they would have 8 points deducted and thus end up with a score of -8. Now if they guess 6 answers correctly this would add 6 points to their score and so they would end up with -8 + 6 = -2 points.
Answer:
Step-by-step explanation:
Given that a farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces
When we consider this graph as a straight line, the two points lying on the line would be
(30, 30) and (34, 28) taking n as horizontal and y vertical
Using two point equation we find that
the equation of the line is

Substitute the points as x =n

is the linear relationship between n and y