Answer:
7,680
Step-by-step explanation:
6 x 4 x 4 x 4 x 5 x 12 = 23040
23040/3 = 7,680
Answer:the uncle is 54 years old.
The woman is 18 years old
Let x represent the age of the uncle.
Let y represent the age of the woman that he married.
In the film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. This means that
x = 3y
He wittily replies, "Ah, but in 18 years time I shall only be twice her age. It means that
x + 18 = 2(y + 18)
x + 18 = 2y + 36 - - - - - - - - - - 1
Substituting x = 3y into equation 1, it becomes
3y + 18 = 2y + 36
3y - 2y = 36 - 18
y = 18
x = 3y = 3 × 18
x = 54
#1
x-7>10
x>10 + 7
x>17
#2
3x <= 21
x <= 21/3
x<= 7
#3
5a - 2<18
5a < 18 + 2
5a <20
a <20/5
a<4
#4
2t + 8 >= -4(t +1)
2t +8>= -4t -4
2t + 4t >= -4 - 8
6t >= -12
t>= -12/6
t>= -2
Multiples of 2:
2, 4, 6, 8, <u>10</u>, 12, 14, 16, 18, 20,...
Multiples of 5:
5, <u>10</u>, 15, 20, 25, 30, 35, 40, ...
Multiples of 6:
6, 12, 18, 24, <u>30</u>, 36, 42, 48, 54, 60, ...
Multiples of 10:
10, 20, <u>30</u>, 40, 50, 60, ...
The computation shows that the price of each game is $2.5 and the price of shoe rental will be $3.
Fron the information given, the equation will be:
s + 4g = 13
s + 8g = 23
4g = 10
g = 2.5
Therefore, the price of each game is $2.5
The price of shoe rental will be:
s + 4(2.50) = 13
s = 13 - 10.
s = 3
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2x+50 and 5x-55 both are congruent or have same measure.
Since we want to prove that both lines are parallel, this means no theorems that involve with parallel lines apply here.
First of, we know that AC is a straight line and has a measure as 180° via straight angle.
x+25 and 2x+50 are supplementary which means they both add up to 180°.
Sum of two measures form a straight line which has 180°.
Therefore:-
x+25+2x+50=180
Combine like terms:-
3x+75=180
Subtract 75 both sides:-
3x+75-75=180-75
3x=105
Divide both sides by 3.
x=35°
Thus, x = 35°
Then we substitute x = 35 in every angles/measures.
x+25 = 35°+25° = 60°
2x+50 = 2(35°)+50° = 70°+50° = 120°
5x-55 = 5(35°)-55 = 175°-55° = 120°
Since 2x+50 and 5x-55 have same measure or are congruent, this proves that both lines are parallel.