Answer:
Width: 9 inches
Step-by-step explanation:
1. We can see that the height increased by 6 inches, provided a difference of 15 and 9. If the question states that the frame's dimensions were proportionately enlarged, perhaps the height's enlargment could be benificial
2. If we were to take a ratio where the increased height is over the previous height (height enlargment/prior height) that would be 6/9, or in other words, can be simplified to be 2/3
3. We can see that if the width were to be enlarged, we might be able to determine how much it should be enlarged through a proportionality, provided <em>the frame's dimensions are proportionately enlarged.</em> Now if x ⇒ the width enlargment: 2 / 3 = x / 5.4
4. Through cross multiplication, let us solve for x:
2 * 5.4 = 3 * x,
10.8 = 3 * x,
x = <em>3.6 inches by which the width should be enlarged</em>
5. If we are to determine the new width of the frame after enlargment, add <em>5.4 to 3.6 ⇒ the width of the frame ⇒ 9 inches</em>
On a 10 by 4 grid, there would be 40 squares. If you were to shade 12 of those squares, it can be shown as the fraction:
12/40 = 0.3
to get a percentage, we would have to multiply by 100
30% is to be shaded
The expression x³ - 64 can be rewritten using difference of cubes is; (x - 4)(x² + 4x + 16)
<h3>How to write an expression as difference of cubes?</h3>
Difference of cubes can be rewritten in the form of;
a³ – b³ = (a – b)(a² + ab + b²)
So in this question, we are given;
x³ - 64 = x³ - (4)³
where a = x and b = 4
This gives us;
(x - 4)(x² + 4x + 4²)
⇒ (x - 4)(x² + 4x + 16)
Read more about difference in cubes at; brainly.com/question/2747971
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I believe its 31/100! <span>To write 0.3111 as a fraction you have to write 0.3111 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.</span>
