Answer: One book has a greater mass.
Step-by-step explanation:
Jamal has a pair of shoes with a total mass of 960 grams. This means that each shoe has a mass of:
960 grams ÷ 2= 480 grams per shoe.
Jamal also has four identical books with a total mass of 2 kilograms. Note that 1000 grams make a kilograms. Therefore 2 kilograms will be (2 × 1000 grams) = 2000 grams.
Each book will have a mass of:
2000 ÷ 4 = 500 grams per book.
One shoe has a mass of 960 divided 2 = 480 grams . One book has a mass of 2000 divided 4 = 500 grams . So one book has a greater mass.
The mathematical word describing both
and
in the expression
is "<u><em>addition</em></u>"
<h3>How to form mathematical expression from the given description?</h3>
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For the given case, the terms were
and
and the expression formed from them is ![27x+6x](https://tex.z-dn.net/?f=27x%2B6x)
This means both the terms were added together, as denoted by '+' (called 'plus') sign.
When two terms are written with 'plus' sign in between, then that means they're added to each other and the result will be addition of both of their's values.
Thus, the mathematical word describing both
and
in the expression
is <u><em>addition</em></u>"
Learn more about addition here:
brainly.com/question/14148883
Answer:
The width of billboard is "[x]" and the height of billboard is "[y"]. If total area of billboard is
then
Step-by-step explanation:
• The total width of billboard is [x]. Therefore the width of printed area will be (x-10) by excluding margin of left and right side.
• The total height of billboard is [y]. Therefore the height of printed area will be [(y-6)] by excluding the margin of top and bottom from the total height.
• To find the printed area of billboard calculations are given below:
![& 9000=xy](https://tex.z-dn.net/?f=%26%209000%3Dxy)
![& y=\frac{9000}{x} \\ & A=(x-10)(y-6) \\ & A=xy-6x-10y+60 \\ & A=x\left( \frac{9000}{x} \right)-6x-10\left( \frac{9000}{x} \right)+60 \\ & A=9060-6x-\frac{9000}{x} \\](https://tex.z-dn.net/?f=%26%20y%3D%5Cfrac%7B9000%7D%7Bx%7D%20%5C%5C%20%20%26%20A%3D%28x-10%29%28y-6%29%20%5C%5C%20%20%26%20A%3Dxy-6x-10y%2B60%20%5C%5C%20%20%26%20A%3Dx%5Cleft%28%20%5Cfrac%7B9000%7D%7Bx%7D%20%5Cright%29-6x-10%5Cleft%28%20%5Cfrac%7B9000%7D%7Bx%7D%20%5Cright%29%2B60%20%5C%5C%20%20%26%20A%3D9060-6x-%5Cfrac%7B9000%7D%7Bx%7D%20%5C%5C)
On taking the first order derivative of A
![\[A'=-6+\left( \frac{90000}{{{x}^{2}}} \right)\]](https://tex.z-dn.net/?f=%5C%5BA%27%3D-6%2B%5Cleft%28%20%5Cfrac%7B90000%7D%7B%7B%7Bx%7D%5E%7B2%7D%7D%7D%20%5Cright%29%5C%5D)
![& \left( \frac{90000}{{{x}^{2}}} \right)-6=0 \\ & 6{{x}^{2}}=90000 \\ & x=\sqrt{15000} \\ & y=\frac{9000}{x}=\frac{90000}{\sqrt{15000}}=10\sqrt{150} \\](https://tex.z-dn.net/?f=%26%20%5Cleft%28%20%5Cfrac%7B90000%7D%7B%7B%7Bx%7D%5E%7B2%7D%7D%7D%20%5Cright%29-6%3D0%20%5C%5C%20%20%20%20%20%20%20%20%20%20%26%206%7B%7Bx%7D%5E%7B2%7D%7D%3D90000%20%5C%5C%20%20%20%20%20%20%20%20%20%20%26%20x%3D%5Csqrt%7B15000%7D%20%5C%5C%20%20%20%20%20%20%20%20%20%20%26%20y%3D%5Cfrac%7B9000%7D%7Bx%7D%3D%5Cfrac%7B90000%7D%7B%5Csqrt%7B15000%7D%7D%3D10%5Csqrt%7B150%7D%20%5C%5C)
• Hence
and ![\[y=\frac{900}{\sqrt{150}}\]](https://tex.z-dn.net/?f=%5C%5By%3D%5Cfrac%7B900%7D%7B%5Csqrt%7B150%7D%7D%5C%5D)
Learn More about Differentiation Here:
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Answer:
hi
Step-by-step explanation:
hi