SOLUTION: Translate English sentences into mathematical equations 1. The cube of โ„Ž gives 8. 2. ๐‘ฅ reduced by one-fifth is equal to 6. 3. 5 decreased by ๐‘ง is one-third. 4. One-ha

Algebra ->  Functions -> SOLUTION: Translate English sentences into mathematical equations 1. The cube of โ„Ž gives 8. 2. ๐‘ฅ reduced by one-fifth is equal to 6. 3. 5 decreased by ๐‘ง is one-third. 4. One-ha      Log On


   



Question 1184252: Translate English sentences into mathematical equations
1. The cube of โ„Ž gives 8.
2. ๐‘ฅ reduced by one-fifth is equal to 6.
3. 5 decreased by ๐‘ง is one-third.
4. One-half plus ๐‘˜ is 4.
5. 5 divided by ๐‘ก gives 7.
6. The quotient of ๐‘ and thrice of ๐‘Ž is equal to 5
7. The fourth power ๐‘ is the same as 16 decreased by twice of ๐‘.
8. The sum of 4 and twice of ๐‘ฅ is the product of ๐‘ฅ and ๐‘ฆ.
9. 5 is equal to the product of ๐‘ฅ and the sum of 3 and ๐‘ฅ.
10. ๐‘ฅ reduced by 1 is equal to twice of ๐‘ฆ.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
1. The cube of โ„Ž gives 8.
h^3 = 8

2. ๐‘ฅ reduced by one-fifth is equal to 6.
x - 1/5 * x = 6 which simplifies to 4/5 * x = 6

3. 5 decreased by ๐‘ง is one-third.
5 - z = 1/3

4. One-half plus ๐‘˜ is 4.
1/2 + k = 4

5. 5 divided by ๐‘ก gives 7.
5/t = 7

6. The quotient of ๐‘ and thrice of ๐‘Ž is equal to 5.
b/(3a) = 5
usually it defined as the quotient of b divided by 3a is equal to 5.

definition from the web:
If a whole number N is the result of a division between two numbers a and b (usually a division is written as aรทb a รท b , or a/b, or ab ), then N is called the quotient of a and b. For example, 2 is a quotient of 10 and 5 because of 10/5 = 2.

7. The fourth power ๐‘ is the same as 16 decreased by twice of ๐‘.
c^4 = 16 - 2b

8. The sum of 4 and twice of ๐‘ฅ is the product of ๐‘ฅ and ๐‘ฆ.
4 + 2x = x * y

9. 5 is equal to the product of ๐‘ฅ and the sum of 3 and ๐‘ฅ.
5 = x * (3 + x)

10. ๐‘ฅ reduced by 1 is equal to twice of ๐‘ฆ.
x - 1 = 2y