Answer:
54 = 6b
Step-by-step explanation:
Sandra rode her bike 54 miles in one day.
She rode 6 times the number of miles Caleb rode his bike.
Let Caleb rode b miles. It means,
54 = 6b
We can also find b as follows :
b = (54/6)
b = 9 miles
Hence, the required equation is "54 = 6b".
Given:
P = $500
r = 3.75% = 0.0375
t = 4 months
Asked: I
Solution:
I = Prt
I = ($500)(0.0375)(4)
I = $75
Answer:
1. Arthur is about 54 meters away from Cameron.
2. Jamie is about 56 meters away from Cameron.
3. Arthur is closer to Cameron.
Step-by-step explanation:
We have been given the locations of Cameron (70,10), Arthur (20,30) and Jamie (45,60) on the the grid in meters.
1. To find the distances of Arthur and Jamie from Cameron we will use distance formula.






Therefore, the distance Arthur is about 54 meters away from Cameron.
2. Let us find the distance between Cameron and Jamie.


Therefore, Jamie is about 56 meters away from Cameron.
3. We can see that 56 is greater than 54, therefore, Arthur is closer to Cameron.
<u>Answer:</u> The value of x can be either 5 or 10.
<u>Step-by-step explanation:</u>
We are given:
Total profit, P = $5600
The given equation follows:
⇒ P = 600 + 1500x - 100x²
Putting value of P in above equation, we get:
⇒ -100x² + 1500x + 600 = 5600
⇒ -100x² + 1500x - 5000 = 0
⇒ 100x² - 1500x + 5000 = 0
Solving this equation by middle term split, we get:
⇒ 100(x² - 15x + 50) = 0
⇒ (x² - 10x - 5x + 50) = 0
⇒ x(x - 10) - 5(x -10) = 0
⇒ (x - 10)(x - 5) = 0
⇒ x = 10, 5
Hence, the value of x can be either 5 or 10.
The answer I got would be 2(x+18)