Answer:
A. He will have to work 40 hours to buy the headphones
B. 1200 ≤ 10.25x ≤ 2000 where x is # of hrs worked
He can work anywhere between 118 and 196 hours.
Step-by-step explanation:
A. Divide 399.95 by 10.25 to get 39.01 hours. But since you cant work 0.01 of an hour, you have to round up to the next hour
B. You want to make more than or equal to 1200, so put that in the inequality. You want to make less or equal to 2000, so you put that in the inequality. In the middle, you put 10.25 an hour multiplied by the number of hours, which is a variable.
To solve, I made 10.25x = 1200, and x equaled 117.07, which rounds up to 118 hours because you cant work a 0.07 of an hour. 118 hours is the low number of the spectrum.
To solve for the highest number on the spectrum, you do 10.25x = 2000, and x equals 195.12, but since you cant work 0.12 of an hour, it rounds up to 196 hours.
Let's call the first unknown integer x and the second one y.
"Four times an unknown integer"
"Multiplied by three times the unknown integer plus a different unknown integer"
- 4x is multiplied by 3x+y, so 4x(3x+y)=12x²+4xy
"Equals 100."
And so the answer is C: 12x²+4xy-100=0
X=1, y=-2--------------------------
The correct option is fourth option
Explanations:
From the data, re-arranging in ascending order, the median of the data is 58.
The upper quartile is 62, while the lower quartile is 54
From the options, only the 4th options represent a box plot of median 58, upper quartile of 62 and lower quartile of 54. This makes it the correct option
The question you asked uses the concept of division, something that a bit tricky at first but gets easier as you master it!
So first let’s write and equation for your problem:
Let x = the amount of calories she burns each hour.
So we already know that Vivi was drumming for 3 hours, that she burned 756 calories, and that she burned the same amount of calories each hour.
Since she burned 756 calories in total, we know that the equation will have to equal 756:
= 756
We also know that the answer will be 3(hours) times x(the amount of calories), so now we just plug it into the equation:
3x = 756
To find what ‘x’ equals we have to divide both side by 3:
3x/3 = 756/3
Now all we have to do is simplify and you have your answer!
x = 252
And there you have it, Vivi burned 25 calories per hour!
Hope this helps! :)
