Answer:
12 minutes
Step-by-step explanation:
Candles can be manually packed at the rate of ...
... (400 candles)/(36 minutes) = 11 1/9 candles/minute
The two systems together pack candles at the rate of ...
... (400 candles)/(9 minutes) = 44 4/9 candles/minute
Then the machine's packing rate is the difference between the total and the manual rates:
... machine rate = (44 4/9 candles/minute) - (11 1/9 candles/minute)
... = 33 1/3 candles/minute.
At this rate, the machine working alone can pack 400 candles in ...
... (400 candles)/(33 1/3 candles/minute) = (400/(100/3)) minutes
... = 400 × 3/100 minutes = 12 minutes
Answer:
Therefore,
Step-by-step explanation:
Given:
DF bisects ∠ EDG
EF = n +5
GF = 2n - 6
To Find:
GF =? or
EF =?
Solution:
In ΔDEF and ΔDGF
∠E ≅ ∠G ……….{Measure of each angle is 90° given}
∠EDF ≅ ∠GDF ………..{ DF bisects ∠ EDG }
DF ≅ DF ……….{Reflexive Property}
ΔDEF ≅ ΔDGF ….{ By Angle-Angle-Side Congruence Postulate}
∴ EF ≅ GF ..{Corresponding Parts of Congruent Triangles are Congruent
}
Substituting the values we get
Substituting 'n' in EF and GF we get
Therefore,
x - 14 + 2x + 20 = 90
First, combine like terms: x and 2x, -14 and 20.
x + 2x = 3x
-14 + 20 = 6
3x + 6 = 90
Subtract 6 from both sides.
3x = 84
Divide both sides by 3
x = 28
Answer:
18
Step-by-step explanation:
=(
48
1
)(
3
8
)
=
(48)(3)
(1)(8)
=
144
8
=18
Answer:
Step-by-step explanation:
You can also use google wait I will answer let me first find out