Answer:
(25,19)
Step-by-step explanation:
We are to find the location of the train station.
Using the formula for calculating midpoint given as:
M(X,Y) = [(x1+x2)/2, (y1+y2)/2]
X = x1+x2/2
Y = y1+y2/2
Given
M(X,Y) = (11,11)
Bus station (x1, y1) = (-3,3)
Substituting the given parameters into the formula.
11 = -3+x2/2
Cross multiply
11×2 = -3+x2
22 = -3+x2
x2 = 22+3
x2 = 25
Similarly
Y = y1+y2/2
11 = 3+y2/2
Cross multiply
11×2 = 3+y2
22 = 3+y2
y2 = 22-3
y2 = 19
Hence the location of the train station is at (25,19)
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Answer:
x = 12.
Step-by-step explanation:
Given:
Cross multiply to solve for x:
3 · 20 = 5 · x
60 = 5x
Divide by 5:
12 = x.
Answer:
12
Step-by-step explanation:
Equation: 5x + 9 - 4x
Plug in x = 3
New equation: 5(3) + 9 - 4(3)
Simplify: 15 + 9 - 12
Simplify: 12
<u>Answer: 12</u>
The cost to equip all the stations in the chemistry lab is calculated as: $393.75.
<h3>How to Calculate Total Cost?</h3>
In this scenario, we are given the following:
Total number of stations = 21 stations
Length of rubber tubing each of the stations in the chemistry lab needs = 5 feet
Total length of rubber tubing needed for all stations in the chemistry lab = 21 × 5 = 105 feet
Cost of 1 rubber tubing = $6.25 per yard
Convert 5 feet to yard:
1 yard = 3 feet
x yard = 5 feet
x = (5 × 1)/3
x = 5/3 feet.
So, the cost of 1 rubber tubing = $6.25 per 5/3
Cost of total length of tubbing needed = (105 × 6.25)/5/3 = (105 × 6.25) × 3/5
Cost of total length of tubbing needed = $393.75
Therefore, the cost to equip all the stations in the chemistry lab is calculated as: $393.75.
Learn more about the How to Calculate Total Cost on:
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Answer:
7% of 150 = 10.5
Step-by-step explanation:
