Answer:
3/5 as a division is 0.6
Step-by-step explanation:
To write a fraction as a division, we basically divide the values, since the fraction represents a division.
In this question:
We want 3 divided by 5.
3 is less than 5, so we can multiply 3 by 10(getting 30), and adding a 0 to the quotient.
So now 0.(30/5) = 0.6, which means that 3/5 as a division is 0.6.
The dimensions and volume of the largest box formed by the 18 in. by 35 in. cardboard are;
- Width ≈ 8.89 in., length ≈ 24.89 in., height ≈ 4.55 in.
- Maximum volume of the box is approximately 1048.6 in.³
<h3>How can the dimensions and volume of the box be calculated?</h3>
The given dimensions of the cardboard are;
Width = 18 inches
Length = 35 inches
Let <em>x </em>represent the side lengths of the cut squares, we have;
Width of the box formed = 18 - 2•x
Length of the box = 35 - 2•x
Height of the box = x
Volume, <em>V</em>, of the box is therefore;
V = (18 - 2•x) × (35 - 2•x) × x = 4•x³ - 106•x² + 630•x
By differentiation, at the extreme locations, we have;

Which gives;

6•x² - 106•x + 315 = 0

Therefore;
x ≈ 4.55, or x ≈ -5.55
When x ≈ 4.55, we have;
V = 4•x³ - 106•x² + 630•x
Which gives;
V ≈ 1048.6
When x ≈ -5.55, we have;
V ≈ -7450.8
The dimensions of the box that gives the maximum volume are therefore;
- Width ≈ 18 - 2×4.55 in. = 8.89 in.
- Length of the box ≈ 35 - 2×4.55 in. = 24.89 in.
- The maximum volume of the box, <em>V </em><em> </em>≈ 1048.6 in.³
Learn more about differentiation and integration here:
brainly.com/question/13058734
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Answer:
A) 2.50
Step-by-step explanation:
subtract 8.75 and 6.25 to get the cost of 1 pizza slice since Alfredo bought 1 more pizza than Jessica.
Answer:
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Step-by-step explanation:
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Answer:
Your brother gets $16 and you get $8.
Step-by-step explanation:
first of all what is 16+8=24
first step..i started from 2 and did twice of that wich is 4 but that only got $6
second step.... just keep doing your multiples....
third step....as soon as i got to the number 8 i did twice of that and i got 16 then i added those and i got $24
and that is your answer.