4 because there was 8 in a double row so 8 divided by two
Answer:
1. 1 cup of yellow 17.5 cups of blue 2. 4 cups of yellow 70 cups of blue
3. 2 cups of yellow 40 cups of blue 4. 2 cups of yellow 30 cups of blue
Step-by-step explanation:
1. to get same shade keep ratios the same but divide by 2 for smaller amount
2/2 = 1 and 35 /2 = 17.5
2. similar to 1. except multiply by 2
3. use same yellow amount but more blue
4. use same yellow but less blue
Group 1:
divide number of muffins by number of students
=8 ÷ 12
=8/12
reduce by 4
=2/3 muffins each in group 1
Group 2:
=6 ÷ 15
=6/15
reduce by 3
=2/5 muffins each in group 2
Add fractions together:
= 2/3 + 2/5
need common denominator
multiply 2/3 by 5 and 2/5 by 3 for common denominator of 15
=(2/3 * 5/5) + (2/5 * 3/3)
=(2*5/3*5) + (2*3/5*3)
= 10/15 + 6/15
= 16/15
= 1 1/15 muffin
ANSWER: Carmine gets 1 1/15 muffins because she was in both groups. She received 2/3 in one group, 2/5 in another group and added together she received 1 1/15 muffins.
Hope this helps! :)
Step-by-step explanation:
Note: I used the identity
for the last step.
PS. I love proving trigonometric identities!
I assume you meant (y-3)=(-3/4)(x-1). If so, this line has slope -3/4. A line perpendicular to (y-3)=(-3/4)(x-1) has a slope that is the negative reciprocal of -3/4: That new slope is +4/3.
The new line is thus y - (-1) = (4/3)(x-0), or y + 1 = (4/3)x, or
y = (4/3)x - 1 (answer)
