Steve and Stephanie both get weekly allowances. Steve receives $15 plus $1.25 for every hour he completes housework. Stephanie receives $5 for every hour she completes housework. Write the equation that represents the situation. Let h represent the number of hours. Solve the equation. How many hours of housework do they need to complete for their allowances to be equal?
Answers
Answer:
25
Step-by-step explanation:
Steve and Stephanie need to complete 4 hours of housework for their allowances to be equal.
What is equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
Let 'x' represents the Steve's weekly allowances and 'y' represents the Stephanie's weekly allowance.
Let h represent the number of hours.
Steve receives $15 plus $1.25 for every hour he completes housework.
So, we get an equation,
⇒ x = (1.25)h + 15
Stephanie receives $5 for every hour she completes housework.
So, we get an equation,
⇒ y = 5h
We need to find the number of hours of housework they need to complete for their allowances to be equal.
When their allowances are equal,
⇒ x = y
⇒ (1.25)h + 15 = 5h
⇒ 3.75 h = 15
⇒ h = 4 hours
Therefore, they need to complete 4 hours of housework for their allowances to be equal.
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Answer:
Today: Tuesday, 12th January 2021
21.16 PM
[tex] \tt 5x - 9 > 12[/tex]
[tex] \tt 5x > 12 + 9[/tex]
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[tex] {\orange{\boxed{ \red{\tt x = \frac{21}{5} }}}}[/tex]
The given relation 5x-9>12 represents inequality. the solution of inequality is x > ( 21 / 5).
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Given inequality, the relation is 5x-9>12. The solution to inequality be done as:-
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