Answer: x = 13.4
Step-by-step explanation:
We translate 'English' to 'math':
'decreased by' is subtraction
'is' means '='
12(x - 10) = 2x + 14
12x - 120 = 2x + 14
subtract 2x from each side
10x - 120 = 14
Add 120 to each side
10x = 134
Divide by 10 , to isolate the 'x'
x = 13.4
If we substitute 13.4 for 'x' back in the first equation, we get 40.8 for each side, so the equation balances.
I hope this helps.
Answer:
x ≤ -6/5
Step-by-step explanation:
5x + 38 ≤ 4 (2 - 5x)
5x + 38 ≤ 8 - 20x
5x + 20x ≤ 8 - 38
25x ≤ -30
x ≤ -30÷25
<u>x ≤ -6/5</u>
3x+2y=18
8x+6y=50
2y=18-3x
Y=9-3/2x
8x+6 (9-3/2x)=50
8x+54-9x=50
-x+54=50
X=4
Y=9-3/2 (4)
Y=9-6
Y=3
Answer:
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Step-by-step explanation:
Given
Required
Calculate the distance
The relationship between speed, time and distance is:
Substitute values for Speed and Time
Convert minutes to seconds
Convert metres to miles
<em></em><em> </em><em>--- Approximated</em>
Answer:
0.1587
Step-by-step explanation:
Given the following :
Mean (m) of distribution = 64 inches
Standard deviation (sd) of distribution = 2 inches
Probability that a randomly selected woman is taller than 66 inches
For a normal distribution :
Z - score = (x - mean) / standard deviation
Where x = 66
P(X > 66) = P( Z > (66 - 64) / 2)
P(X > 66) = P(Z > (2 /2)
P(X > 66) = P(Z > 1)
P(Z > 1) = 1 - P(Z ≤ 1)
P(Z ≤ 1) = 0.8413 ( from z distribution table)
1 - P(Z ≤ 1) = 1 - 0.8413
= 0.1587