Which net represents this rectangular prism?
1 answer:
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I assume that you mean: the length is 7cm more than the width, and the perimeter is 74 cm.
If so, we can write down the following system, where l and w represent, respectively, the length and the width:
We can easily solve the second equation:
And finally solve for the length:
The diary farmer should use 1000 pounds of 85 % protien and 55 % of 200 pounds to make 1200 pounds of a high-grade 80% protein ration
<em><u>Solution:</u></em>
Let the amount of 85 % protien supplement be "x"
Then amount of 55 % protien be (1200 - x)
According to given question,
85 % of "x" protien supplement + 55 % of 1200 - x protien used to get 80 % of 1200 pounds
85 % of x + 55 % of (1200 - x) = 80 % of 1200
Pounds of 85 % protien used = 1000 pounds
Then pounds of 55 % protien used = 1200 - 1000 = 200 pounds
Thus he should use 1000 pounds of 85 % protien and 200 pounds of 55 % protien to get 1200 pounds of a high-grade 80% protein ration
There are additional details to the problem that you have left out. I have found them in other resources. The tray has to be 3 centimeters high and the length is five centimeters longer than its width. The volume of the tray is 252 cubic centimeters.
With these given, we can find the equation with the width alone as the variable:
To know if it's possible for the width to be 7.5 centimeters, we just plug this as the value of x and see if it satisfies the equation:
As we can see, the equation was not satisfied therefore it is NOT possible for the width to be 7.5 centimeters.
With these given, we can find the equation with the width alone as the variable:
To know if it's possible for the width to be 7.5 centimeters, we just plug this as the value of x and see if it satisfies the equation:
As we can see, the equation was not satisfied therefore it is NOT possible for the width to be 7.5 centimeters.