distance = rate * time
2.56 meters = 2meter/min * t
divide by 2 on each side
2.56/2 =t
1.28 minutes =t
Answer:
2000 milligrams —> 2 grams
6000 milligrams —> 6 grams
7000 milligrams —> 7 grams
10000 milligrams —> 10 grams
I hope I helped you^_^
First multiply each term by 24(the common denominator found by 8×3) to remove the fractions and make things easier.
![24(5) + 24( \frac{x - 2}{3} ) = 24( \frac{x + 3}{8} )](https://tex.z-dn.net/?f=24%285%29%20%2B%2024%28%20%5Cfrac%7Bx%20-%202%7D%7B3%7D%20%29%20%3D%2024%28%20%5Cfrac%7Bx%20%2B%203%7D%7B8%7D%20%29)
This will give you,
![120 + 8(x - 2) = 3(x + 3)](https://tex.z-dn.net/?f=120%20%2B%208%28x%20-%202%29%20%3D%203%28x%20%2B%203%29)
Then just continue to simplify and isolate the variable.
![120 + 8x - 16 = 3x + 9](https://tex.z-dn.net/?f=120%20%2B%208x%20-%2016%20%3D%203x%20%2B%209)
![8x + 104 = 3x + 9](https://tex.z-dn.net/?f=8x%20%2B%20104%20%3D%203x%20%2B%209)
![5x = - 95](https://tex.z-dn.net/?f=5x%20%3D%20%20-%2095)
<u>Answer:</u>
The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.
<u>Solution:</u>
Given, expression is ![3^{(x+2)}=15](https://tex.z-dn.net/?f=3%5E%7B%28x%2B2%29%7D%3D15)
We have to solve the above expression using change of base formula which is given as
![\log _{b} a=\frac{\log a}{\log b}](https://tex.z-dn.net/?f=%5Clog%20_%7Bb%7D%20a%3D%5Cfrac%7B%5Clog%20a%7D%7B%5Clog%20b%7D)
Now, let us first apply logarithm for the given expression.
Then given expression turns into as, ![x+2=\log _{3} 15](https://tex.z-dn.net/?f=x%2B2%3D%5Clog%20_%7B3%7D%2015)
By using change of base formula,
x + 2 = 2.4649
x = 2.4649 – 2 = 0.4649
Hence, the value of x is 0.465 approximately and second option is correct one.
Answer:7/8 of an inch
Step-by-step explanation: 1 and 1/4 inch is 5/4 inches, which can be converted into 10/8
10/8-3/8=7/8