Write an inequality that represents the following:
1 answer:
Answer:
The maximum number of hours can be spend on work is 4 hours
Step-by-step explanation:
Given as :
The fixed charge of an auto shop = $100
The labor charge of auto shop = $175 per hour
The maximum money to be spend = $800
Let The maximum number of hours can be spend on work = n hours
<u>According to question</u>
The maximum money to be spend = fixed charge of an auto shop + labor charge of auto shop per hour × maximum number of hours
Or, $800 = $100 + $175 × n
Or, $175 × n = $800 - $100
Or, $175 × n = $700
∴ n =
i.e n = 4
So, The maximum number of hours can be spend on work = n = 4 hours
Hence, maximum number of hours can be spend on work is 4 hours Answer
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Answer:
The two page numbers are 78 and 79.
Step-by-step explanation:
Let's take the page numbers are x and x + 1 .
The produce of the page numbers is 6162
so, x(x + 1) = 6162
Here we have to use the quadratic formula to solve for x.
The quadratic formula, x =
Here a =1, b = 1 and c = -6162
Plugging in the value of a, b and c in the above formula, we get
x = [-1 ± 157] ÷ 2
Let's take the positive value alone since the page number cannot be negative.
x = [-1 + 157] ÷2
x = 78
The next page number x + 1 = 78 + 1 = 79
Therefore, the two page numbers are 78 and 79.