Answer: Albert's grand father is 50 years older that Albert this year.
Step-by-step explanation:
Let x represent Albert's age this year.
Let x represent Albert's grandfather age this year.
This year Albert and his grandfather's ages total to 64 years. This means that
x + y = 64- - - -- - - - - -1
In 3 years, Albert's grandfather will be 6 times as old. This means that
y + 3 = 6(x + 3)
y + 3 = 6x + 18
y = 6x + 18 - 3
y = 6x + 15
Substituting y = 6x + 15 into equation 1, it becomes
x + 6x + 15 = 64
7x = 64 - 15 = 49
x = 49/7
x = 7
y = 6x + 15 = 6 × 7 + 15
y = 57
The difference between their ages is 57 - 7 = 50 years
1*160
2*80
4*40
5*32
8*20
10*16 ..... Etc...
The statements aren't given; however the number of 1/2 and 1/4 - pound package have been calculated below.
Answer:
Step-by-step explanation:
Given :
A 12 pound block :
Number of 1/2 pound packages that can be obtained :
12 ÷ 1/2 ;
12 * 2/1 = 24 (1/2 - Pound package) can be obtained.
Number of 1/4 pound package that can be obtained :
12 ÷ 1/4
12 * 4 /1 = 48 (1/4 - Pound package) can be obtained
We can obtain twice the number of 1/2 - pound package by using the 1/4 - pound slicing.
Answer:
Cos θ = √7/3
Step-by-step explanation:
From the question given above, the following data were obtained:
Sine θ = √2 / 3
Cos θ =?
Recall
Sine θ = Opposite / Hypothenus
Sine θ = √2 / 3
Thus,
Opposite = √2
Hypothenus = 3
Next, we shall determine the Adjacent. This can be obtained as follow:
Opposite = √2
Hypothenus = 3
Adjacent =?
Hypo² = Adj² + Opp²
3² = Adj² + (√2)²
9 = Adj² + 2
Collect like terms
9 – 2 = Adj²
7 = Adj²
Take the square root of both side
Adjacent = √7
Finally, we shall determine the value Cos θ. This can be obtained as follow:
Adjacent = √7
Hypothenus = 3
Cos θ =?
Cos θ = Adjacent / Hypothenus
Cos θ = √7/3
Answer:
4m
Step-by-step explanation:
- v=4/3 pi r^3
- substitute 267.95=4/3×3.14×r^3
- 267.95= 12.56r^3/3
- multiply by the reciprocal on both sides 64=r^3
- find the cuberoot on both sides to remove the cube hence 4=r
