Slope intercept form: y= mx +b
Parallel lines= same slope
Find slope of this line first:
2x + 3y =8
Subtract 2x from left side and add it to right side.
3y = -2x + 8
Divide by 3
Y= -2x/3 +8/3
slope= -2x/3
Y= mx + b —-} b is y intercept which is unknown and m is slope
Plug in -2/3x for slope.
Y= -2/3x +b
To find y intercept plug in point (-2, 3)
Y= -2/3x+b
3= -2/3(-2) +b
3 = 4/3+b
3-4/3 =b
5/3 =b
Y= -2/3x +5/3 is new equation
Originally the ratio is 5:3, but we can make this ration 5x:3x because its equal. By doing so, we know that 5x+3x=32.
Now just solve the equation:
5x+3x=32
8x=32
x=4.
Now insert x into ratio.
Since she needs 3x of guava juice, she needs 3*4 fl oz of guava juice. She need 12 fl oz of guava juice.
Answer:
12 FL OZ of guava juice.
Answer:700grams
Step-by-step explanation:
80 % of 140=112
140-112=28
Dried Grape=28g
140/28=5
100% of 28 is 140g
Fresh Grape=140
140*5=700g
Answer:
6 projects
Step-by-step explanation:
Original ribbon length = 24 yards
After 10 yards given to sister, Mia is left with 24-10 = 14 yards of ribbon
Each project requires 2 1/4 yards of ribbon.
2 1/4 is 9/4 yards as an improper fraction (2 * 4 + 1 is the numerator and the denominator is unchanged)
We now have to figure out how many times 9/4 yards goes into 14 yards.
For this,
14 ÷ 9/4.
To do this, flip the numerator and denominator of the fraction and multiply
14 ÷ 9/4 = 14 × 4/9 = 56/9 . We ignore any remainder.
9 goes into 56 6 times with remainder of 2 (ignore remainder)
In other words the greatest number of projects = 6