Answer:
steps below
Step-by-step explanation:
f(x) = x + 5
g(x) = x - 4
f(g(x)) = f(x-4) = (x-4) + 5
She spent $7.44 because 3.28 + 1.27 + 0.56 + 2.33 = 7.44
Let's solve this question by step by step.
Layout equation.
−104=−8(k+8)
Step 1: Simplify both sides of the equation.
−104=−8(k+8)
−104=(−8)(k)+(−8)(8)(Distribute)
−104=−8k+−64
−104=−8k−64
Step 2: Flip the equation.
−8k−64=−104
Step 3: Add 64 to both sides.
−8k−64+64=−104+64
−8k=−40
Step 4: Divide both sides by -8.
-8k/-8=-40/-8
The answer for this problem is k=5.
Answer:
15 units
Step-by-step explanation:
K(8, 6) and J(-4, -3)
Distance between 2 points
Thus using the formula above,
distance between points J and K
![= \sqrt{ {[8- (-4)]}^{2} + {[6- (-3)]}^{2} } \\ = \sqrt{ {12}^{2} + {9}^{2} } \\ = \sqrt{225} \\ = 15 \: units](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B%20%7B%5B8-%20%28-4%29%5D%7D%5E%7B2%7D%20%20%2B%20%20%7B%5B6-%20%28-3%29%5D%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%7B12%7D%5E%7B2%7D%20%20%2B%20%20%7B9%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B225%7D%20%20%5C%5C%20%20%3D%2015%20%5C%3A%20units)
· Author has 184 answers and 67.6K answer views
Let the number be (10 x + y)
Then, 10 x + y = 3 * (x + y) (given)
Or, 10 x + y = 3 x + 3 y
Or, 10 x - 3 x = 3 y - y
Or, 7x = 2 y
Or, x = 2 y / 7 ( Eq. 1)
Also, 10 x + y + 45 = 10 y + x ( given)
Or, 10 x - x = 10 y - y - 45
Or, 9 x = 9 y - 45 ( Eq. 2)
Substituting the value of x from (Eq. 1) in (Eq. 2), we have:
9 * 2 y / 7 = 9 y - 45
Or, (9 y ) - (18 y / 7) = 45
Or, 63 y - 18 y = 315
Or, 45 y = 315
Or, y = 7
From (Eq. 1),
x = 2 * 7 / 7 = 2
So, the number is 10 x + y = (10 * 2) + 7 = (20 + 7) = 27
Answer
Check:
Sum of the digits = 2 + 7 = 9
9 * 3 = 27 ✓
Adding 45 to the number 27, we get 72. So, the digits get reversed.
