Answer:the uncle is 54 years old.
The woman is 18 years old
Step-by-step explanation:
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
Answer:x=4
Step-by-step explanation:
This triangle is an equilateral triangle with all angles equal.
Sum of angles in a triangle=180
17x-8+17x-8+17x-8=180
Collect like terms
17x+17x+17x-8-8-8=180
51x-24=180
51x=180+24
51x=204
Divide both sides by 51
51x/51=204/51
x=4
Answer:
128 servings can be made using 1 gallon of milk.
Step-by-step explanation:
Given that:
cups of milk make 10 servings
can also be written as 1.25
Ratio of cups of milk to servings = 1.25 : 10
1 gallon = 16 cups
Let,
x be the number of servings made from 1 gallon
Ratio of cups of milk to servings = 16 : x
This is a direct proportion
1.25 : 10 :: 16 : x
Product of mean = Product of extreme
10*16 = 1.25x
160 = 1.25x
1.25x=160
Dividing both sides by 1.25
Hence,
128 servings can be made using 1 gallon of milk.
Answer:
The mass of the Blue whale is 200 times the mass of the cow
Step-by-step explanation:
Given
Mass of Cow = 9 * 10² kg
Mass of Blue Whale = 1.8 * 10⁵ kg
Required
Determine the relationship between both weights
Represent the mass of the cow with C and the mass of the whale with B
Divide the bigger weight by the smaller weight
Multiply both sides by C
<em>From the expression above, it can be concluded that the mass of the Blue whale is 200 times the mass of the cow</em>
(a) there are 8C2 = 28 ways of picking 2 girls from 8
And there are 21C4 = 5985 ways of picking 4 boys
Required number of ways for 2g / 4b = 28 * 5985 = 167,580
(b) at least 2 girls means combinations of 2g/4b , 3g,3b , 4g/2b , 5g 1b or
6 girls.
2g/4b = 167,580 ways
3g/3b = 8C3 * 21C3 = 56 * 1330 = 74,480
4g/2b = 8C4* 21C2 = 70 * 210 = 14,700
5g 1b = 8C5* 21 = 56*21 = 1176
6 girls = 8C6 = 28
adding these up we get the answer to (b) which is 257,964
