Answer:
4g-124= -104, g-12= -7
Step-by-step explanation:
g=5
4g-124= ? g-12
4(5)-124 5-12
4(5)= 20 5-12= -7
20 - 124= -104
The labor fee is $13.55 and each quart of oil is $2.25
Step-by-step explanation:
Let,
x be the amount of each quart of oil
y be the amount of labor fee
According to given statement;
5x+y=24.80 Eqn 1
7x+y=29.30 Eqn 2
Subtracting Eqn 1 from Eqn 2
Dividing both sides by 2
Putting x=2.25 in Eqn 1
The labor fee is $13.55 and each quart of oil is $2.25
Keywords: linear equation, subtraction
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Answer:
It is an example of an empirical probability.
Step-by-step explanation:
The empirical probability, also called experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.
Theoretical probability is probability that is determined on the basis of reasoning.
It is evident that the probability in the question was arrived at after the outcome of 14 days of whether Jerry Gergich spilled his lunch on himself or not.
It's an actual result of an experiment, hence the 12/14 = 0.86 = 86% that he spills his lunch on himself tomorrow.
Hope this Helps!!!
Answer:
4
Step-by-step explanation:
(19-5)/3.5
14/3.5
4
LA=3.5; AY=7
LW=?
LW=LA+AW
AW=?
Let's analyze triangles LAY and YAW
1) Triangle LAY
Angle LAY is 90°
Suppose Angle ALY is x
The angle LYA is the complement of x, for example y:
x+y=90°→y=90°-x
2) Triangle YAW
Angle AYW is the complement of angle LAY (y), then the angle AYW must be equal to x.
Angle YAW is 90°, because the angle LAY is 90°
The triangles LAY and YAW are similars, because they have to congruent angles:
Angle LAY = 90° = Angle YAW
Angle ALY = x = Angle AYW
Then the sides of triangles LAY and YAW must be proportionals:
AW/AY=AY/LA
Replacing the known values:
AW/7=7/3.5
AW/7=2
Solving for AW. Multiplying both sides of the equation by 7:
7(AW/7)=7(2)
AW=14
Now:
LW=LA+AW
LW=3.5+14
LW=17.5
Answer: LW=17.5 units
