Hello there! To solve types of questions like these, we can write and solve a proportion. We are looking for the percentage of 380 out of 863.6. Let's set up the proportion like this: 380/863.6 = x/100. Cross multiply the values in order to get 38,000 = 863.6x. Now, divide each side by 863.6 to isolate the "x". 38,000/863.6 is 44.00185271 or 44 when rounded to the nearest whole number. 380 is appox. 44% of 863.6.
<span>The proportion of clay uses is 3/8 (Three Eighths). That is 3 lbs. of clay to every 8 vases. This is determined by the first given proportion 3 lbs./8 vases and confirmed by the second. To prove that is the case you divide the second ration by the first numerator:
9 divided by 3 = 3 and 24 divided by 3 = 8. So the proportion for 9/24 is still 3/8. This can also be used to increase the number of vases made. For example if 40 vases need to be made:
we divide 40 by the numerator 8 = 5. So we need 5 portions of 3 to make 40 vases. 5 times 3 = 15. So the 15 lbs. of clay is needed for 40 vases.</span>
Answer:
A ratio
Step-by-step explanation:
A quantitative relation between two amounts showing the number of times one value contains or is contained within the other
FOIL is an 'acronym'. It helps you remember how to multiply
two binomials ... like (2x-7) and (5x+5) .
FOIL stands for "First, Outside, Inside, Last". Here's how it's used
to multiply these particular two binomials:
(2x - 7) (5x + 5)
First: (2x) (5x) = 10x²
Outside: (2x) (5) = 10x
Inside: (-7) (5x) = -35x
Last: (-7) (5) = -35
Add them all together, and you have the product:
10x² + 10x -35x -35
Simplify the sum: 10x² - 25x -35
or 5(x² - 5x - 7) .
