Answer:
There needs to be 174 Students in the 8th grade class.
Step-by-step explanation:
173(1/3) is 58
58+17=75
The answer to what you have there is -55 using order of operations. 5 times -6 is -30. 5 times -5 is -25. add. You get -55.
9514 1404 393
Answer:
- -2.2(6) +1.8(4) . . . temperature change
- 42 °C
Step-by-step explanation:
At the end of the first 6 hours, the temperature change was ...
(-2.2 K/h)(6 h) = -13.2 K
The change in the next 4 hours was ...
(1.8 K/h)(4 h) = 7.2 K
Then the total change over the 10-hour period was ...
(-2.2)(6) +(1.8)(4) . . . . . expression for temperature change
This evaluates to -13.2 +7.2 = -6.
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The final temperature is the sum of the initial temperature and the temperature change:
final temperature = 48 °C -6 °C = 42 °C
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<em>Additional comment</em>
When temperature is measured on the Celsius scale, a change of 1 degree is called a kelvin (K).
Answer:
The rate is 1 ÷ 2 yards per hour
Step-by-step explanation:
The computation of the rate does the amount of yarn changes is given below:
= 3 3 ÷ 4 - 1 1 ÷8
= 15 ÷ 4 - 9 ÷ 8
= 21 ÷ 8 yards
Now divide the above fraction by the number of hours
= 21 ÷ 8 yards ÷ 5 1 ÷ 4
= 21 ÷ 8 × 4 ÷ 21
= 1 ÷ 2 yards per hour
Hence, the rate is 1 ÷ 2 yards per hour
The same would be relevant
The equation that we can create from this situation is:
i = (190 – 5 x) * (29 + x)
where i is the income and x is the increase in daily rate
Expanding the equation:
i = 5510 + 190x – 145x - 5x^2
i = -5x^2 + 45x + 5510
Taking the 1st derivative:
di/dx = -10x +45
Set to zero to get the maxima:
-10x + 45 = 0
x = 4.5
So the cars should be rented at:
29 + x = 33.5 dollars per day
The maximum income is:
i = (190 – 5*4.5) * (33.5)
i = 5,611.25 dollars
