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

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Question 1184252: Translate English sentences into mathematical equations
1. The cube of β„Ž gives 8.
2. π‘₯ reduced by one-fifth is equal to 6.
3. 5 decreased by 𝑧 is one-third.
4. One-half plus π‘˜ is 4.
5. 5 divided by 𝑑 gives 7.
6. The quotient of 𝑏 and thrice of π‘Ž is equal to 5
7. The fourth power 𝑐 is the same as 16 decreased by twice of 𝑏.
8. The sum of 4 and twice of π‘₯ is the product of π‘₯ and 𝑦.
9. 5 is equal to the product of π‘₯ and the sum of 3 and π‘₯.
10. π‘₯ reduced by 1 is equal to twice of 𝑦.

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

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

3. 5 decreased by 𝑧 is one-third.
5 - z = 1/3

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

5. 5 divided by 𝑑 gives 7.
5/t = 7

6. The quotient of 𝑏 and thrice of π‘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 aΓ·b a Γ· 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 𝑐 is the same as 16 decreased by twice of 𝑏.
c^4 = 16 - 2b

8. The sum of 4 and twice of π‘₯ is the product of π‘₯ and 𝑦.
4 + 2x = x * y

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

10. π‘₯ reduced by 1 is equal to twice of 𝑦.
x - 1 = 2y

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