If they give you a point and slope, use point slope form.
Then simplify to get slope intercept form (y = mx + b)
slope (m) = 5
(-2, 1)
y - y1 = m(x - x1)
y - 1 = 5(x + 2)
y - 1 = 5x + 10
y = 5x + 11
Answer: 10.5 is my guess
Step-by-step explanation:
1. 30% = 8.4
100 x
cross multiply
30(x) = 840
divide both sides by 30 = 28
2. 37.5% = y
100 28
cross multiply
1050 = 100y
divide both sides by 100 = 10.5
Concentration = [ (mass of sugar)/(mass of solution) ] * 100
=> mass of solution = mass of sugar * 100 / concentration
1) concentration 20%
mass of sugar = 0.5 lbs
=> mass of solution = mass of sugar * 100 / concentration = 0.5 lbs * 100 / 20
mass of solution = 2,5 lbs
mass of water = mass of solution - mass of sugar = 2.5 lbs - 0.5 lbs = 2.0 lbs
Answer: she must add 2.0 lbs of water and will obtain 2.5 lbs of syrup
2) concentration 25%
Follow the same procedure.
mass of solution = 0.5 lbs * 100 / 25 =
mass of solution = 2.0 lbs
mass of water = 2.0 lbs - 0.5 lbs = 1.5lbs
Answer: she has to add 1.5 lbs of water and will obtain 2.0 lbs of syrup
3) Same procedure
mass of solution = mass of sugar * 100 / concentration = 0.5 lbs * 100 / 1.5
mass of solution = 33.33 lbs
mass of water = 33.33 lbs - 0.5 lbs = 32.83 lbs
Answer: she has to add 32.83 lbs of water and will obtain 32.83 lbs of syrup
Answer:
it's c, 80 degrees
Step-by-step explanation:
a triangle is like a straight line, but it has 3 different angles that all add up to 180 degrees
<u>Answer:</u>
There are infinite solutions to the system of equations given
<u>Solution:
</u>
The given equations given are,
------ (i)
---- (ii)
Now putting the value of (i) in (ii) we get,





So, there are <em>infinite solutions</em> to the system.