Answer:
Katie is 6 years old and Thomas is 3 years old
Step-by-step explanation:
Given that we should let K and T be the current ages of two siblings, Katie and Thomas.
If Katie is currently twice the age of Thomas then,
K = 2T
and in 6 years, Katie will be 4 times Thomas's current age then
K + 6 = 4T
Solving both equations simultaneously by substituting the value of K given in the first equation into the second
2T + 6 = 4T
Collect like terms
6 = 4T - 2T
6 = 2T
Divide both sides by 2
T = 3
Recall that K = 2T
K = 2 * 3
= 6
Hence Katie is 6 years old while Thomas is 3 years old
Answer:
120 sweets
Step-by-step explanation:
Bri:Jim:Kru
4: 3: 1
find the difference in the ratio of Bridget and Krutika
4-1=3
ratio 3 is equivalent to 45 sweets
total ratio(4+3+1)--------> ?
total no. of sweets<u>=</u><u> </u><u>8x45</u>
3
=120sweets
Answer:
slope equals the change in x over the change in y. So slope equal negative 1.
Answer:
98
Step-by-step explanation:
This is an arithmetic sequence
The common difference is 10-2 =8
a1 = 2
an = a1+d(n-1)
an = 2+8(n-1)
we want the 13th term
a13 = 2 +8(13-1)
=2+ 8*12
= 2+96
= 98
Rewriting the equation as a quadratic equation equal to zero:
x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
x - 6 = 0 => x = 6
Therefore, our solutions are x = -5 and x = 6.
