Answer:
A. Five places to the left
Step-by-step explanation:
Scientific notation is a method used so we can show a very big/small number easier. Rather than putting so many zeroes, we put the number in the format of a number multiplied by 10^x.
Before putting a number into scientific notation, you need to know which number is a significant figures. In this question, there are two significant figure which is 39, all zeroes on the right is insignificant. We can move the decimal to convert the number into 3.9 * 10^5. Basically you need to move the decimal to the left if the exponent positive, but move it to the right if its negative. The exponent is +5 so we move the decimal points 5 places to the left.
Answer:
4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6−4x=6x−8x−2
6+−4x=6x+−8x+−2
−4x+6=(6x+−8x)+(−2)(Combine Like Terms)
−4x+6=−2x+−2
−4x+6=−2x−2
Step 2: Add 2x to both sides.
−4x+6+2x=−2x−2+2x
−2x+6=−2
Step 3: Subtract 6 from both sides.
−2x+6−6=−2−6
−2x=−8
Step 4: Divide both sides by -2.
−2x−2=−8−2
x=4
here is a link:
https://www.mathpapa.com/algebra-calculator.html?q=6-4x%3D6x-8x-2.
Answer: $40
Step-by-step explanation:
The key formula to use for this problem is the simple interest formula, which is 
; where I is the interest earned, p is the principal (initial) amount, r is the interest rate, and t is the amount of time that passes.
Since we know that both investments have the same interest rate, we can use the information from the first part of the problem to solve for the interest rate. Using algebra, we can rearrange the simple interest formula to solve for the interest rate: 
. We know that our interest earned is $24 and our principal amount is $300. To make things easier, we'll also convert months to years, which is easy to do since we know that 12 months = 1 year. This gives us our value for the amount of time that passes. Now, all we have to do is plug in our values into the rearranged equation above.
We should now have: 
Now, to find the interest earned from the $500 investment, we just need to plug in our values from the second part of the problem, along with our calculated interest rate of 0.08, into the original formula of
This should result in 
Therefore, James will receive $40 on his $500 investment after 12 months.
9514 1404 393
Answer:
- 113.0 cm²
- 2464.0 in²
- 95.0 ft²
Step-by-step explanation:
1. The area of a circle is given by the formula ...
A = πr² . . . . . where r is the radius
The radius is shown as 6 cm, so the area is ...
A = (3.14)(6 cm)² = 113.0 cm²
__
2. The radius is shown as 28 in. We note that this is a number divisible by 7, so we choose 22/7 for π.
A = (22/7)(28 in)² = 2464 in² . . . . see comment
__
3. The radius is half the diameter, so is 11/2 = 5.5 ft. Then the area is ...
A = (3.14)(5.5 ft)² = 95.0 ft²
_____
<em>Additional comment</em>
If you use a more exact value of π for problem 2, the area is 2463.0 in². If you use 3.14 as the value of π, the area rounds to 2461.8 in². For these values of pi (3.14 or 22/7), the answer is only good to about 3 significant digits. 2464 has more significant digits, so digits beyond the first 3 may be in error.
Answer :
15 ( theres 15 pickles so you can serve a pickle 15 times )
