Answer:
The third one is a rational number
Step-by-step explanation:
This is because the square root of 36 is 6 and the square root of 225 is 15. So the simplified problem for 3 is 6/15 or 2/5
Answer:
Step-by-step explanation:
From the problem statement, we can create the following equation:
where 
is the age of James, 
is the age of Paul, and 
is the age of Dan.
From the first part of the second sentence, we can set up the following equation:
From the last part of the second sentence, we can set up the following equation:
We can substitute the second equation into the last one to get the following:
We can then substitute the last two equations in the first to solve for :
Plugging this into the other two equations will give us the remaining ages:
Answer:
x = -6
Step-by-step explanation:
-1.5x = 9 Divide the -1.5 on both sides
x = -6
Plug in the answer to make sure it works.
-1.5(6) = 9
9 = 9
The friend would be incorrect. The antelope running 60 feet per second will be safe if the cheetah running at 90 feet per second is 650 feet behind it. To prove this, we can calculate the time it takes for the cheetah to reach the initial position of the antelope which is 650 ft from its initial position. We do as follows:
time to reach 650 ft = 650 ft / 90 ft/s = 7.22 s
After 7.22 s, the antelope would be,
distance of the antelope = 60 ft /s (7.22 s) = 433.33 ft
It would be 433.33 ft away from its initial position. So, the cheetah would not be able to reach the antelope when it travels 650 ft.
You need to calculate the sale tax and add it to the value of the pair
of pants. The tax is calculated by multiplying the cost of the pants
times the rate, i.e.tax = $55 * 10% = $55 * 10/100 = $ 55*0.1 = $ 5.5.
Now sum this tax to the cost of the pants: $ 55 + $5.5 = $ 60.5. Then,
the answer is $ 60.50
