Answer:
the oldest sibling is 12 years old.
The middle child is 9 years old.
The youngest child is 6 years old.
Step-by-step explanation:
Let the age of the youngest child be x
Then the oldest child will be 2x.
The middle child will be x + 3.
Since the combined age is 27;
x + 2x + x + 3 = 27
4x = 27 - 3
x = 24 / 4
x = 6
now 2x = 12 and x + 3 = 9
Answer:
The area of the rectangle is 1222 units²
Step-by-step explanation:
The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width
The formula of the area of a rectangle is A = L × W
∵ The length of a rectangle is 5 less than twice the width
- Assume that the width of the rectangle is x units and multiply
x by 2 and subtract 5 from the product to find its length
∴ W = x
∴ L = 2x - 5
- Use the formula of the perimeter above to find its perimeter
∵ P = 2(2x - 5 + x)
∴ P = 2(3x - 5)
- Multiply the bracket by 2
∴ P = 6x - 10
∵ The perimeter of the rectangle is 146 units
∴ P = 146
- Equate the two expression of P
∴ 6x - 10 = 146
- Add 10 to both sides
∴ 6x = 156
- Divide both sides by 6
∴ x = 26
Substitute the value of x in W and L expressions
∴ W = 26 units
∴ L = 2(26) - 5 = 52 - 5
∴ L = 47 units
Now use the formula of the area to find the area of the rectangle
∵ A = 47 × 26
∴ A = 1222 units²
∴ The area of the rectangle is 1222 units²
D=10 a=5
5×5×π=25π
a=25π
2×5×π=10π
c=10π
c. C = 10π A = 25π
Answer:
3262.9 cm^3
Step-by-step explanation:
Formula =
Pi = 3.145
So,
Here you go
Answer:
-a+5b
Step-by-step explanation:
(-2)x(2a-b)+3(a+b)
Multiply
Remove Parenthesis
-2(2a-b)+3a+3b
Multiply parenthesis by -2
-4a+2b+3a+3b
collect like terms
-a+5b
