Answer:
Step-by-step explanation:
Answer:
Rachel's conclusion is valid. The ratios for green beans to total students for the survey and the school form a proportion.
Step-by-step explanation:
Solve using proportions. The format should be "Green beans" on the top, and "Total students" on the bottom.
Simplify the first numerator
Find the <u>common ratio</u>
The common ratio is the number you multiply by to get from the top left to top right. It's the same number the you can multiply the bottom left number by to get the bottom right.
<u>Divide the right side by the left side to find the ratio.</u>
Top: ratio = 240/10 = 24
Bottom: ratio = 600/25 = 24
Since the ratios are <u>the same</u>, they are <u>common</u>.
Therefore the proportion is correct, and Rachel's conclusion is valid.
Answer:
0
Step-by-step explanation:
The slope is the change in y over the change in x
The y value does not change
0/ change in x
The slope is 0
Answer:
15 green pieces.
Step-by-step explanation:
8x = 24
x = 3.
So you need 3 times the amount of green pieces for every yellow piece.
3 * 5 green pieces = 15 green pieces
Y = ( 3 / 4 )x - 4 and ( 3 / 2 )x + ( 3 / 4 )y = 16 ;
Then, ( 3 / 2 )x + ( 3 / 4 )[ ( 3 / 4 )x - 4 ] = 16 ;
( 3 / 2 )x + ( 9 / 16 )x - 3 = 16 ;
( 3 / 2 )x + ( 9 / 16 )x = 19 ;
( 24 / 16 )x + ( 9 / 16 )x = 304 / 16 ;
24x + 9x = 304 ;
33x = 304 ;
x = 9.(21);
y = ( 3 / 4 ) × 9.(21) - 4 = 2.90 ;