Answer:
Here, K represents the current age of Katie and T represents the current age of Thomas.
(a)
As per the statement:
Katie is currently twice the age of Thomas.
⇒
......[1]
It is also given that in 6 years Katie will be 4 times Thomas's current age.
Subtract 6 from both sides we get;
......[2]
A system of equations that describe the situation is:
(b)
To find the solution:
equate [1] and [2] we have;
Subtract 2T from both sides we have;
Add 6 to both sides we get;
Divide both sides by 2 we have;
T = 3 years
Substitute this in equation [1] we get;
K = 2(3) = 6 years.
Therefore, the current age of Katie and Thomas are 6 years and 3 years.
Answer:
A is true
B is true
C is false
D is false
E is false
Step-by-step explanation:
·1/5n becomes 4/20n
·Leave 3/4 alone
·7/10n becomes 14/20n
·Combine like terms: 14/20n + 4/20n = 18/20n
·Simplify 18/20 to 9/10
·Final Answer : 9/10 - 3/4
Hope this helps you out in future problems!
Answer:
30.96 m^2
Step-by-step explanation:
Side length of the square is also the diameter of the semicircle so:
r = 0.5 * 12 m = 6 m
Since you want the area of the shaded area, you have to subtract the area of both semi circles from the area of the square:
Square Area - Semi Circle Area - Semi Circle Area = Shaded Region Area
(12 m * 12 m) - (0.5 * 3.14 * 6^2 m) - (0.5 * 3.14 * 6^2 m)
= 144 - 56.52 - 56.52
= 30.96 m^2
24 times 3= 72+4=76+14=90
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