Quadratic formula: (-b +/- sqrt(b^2 - 4ac)) / 2a
a = 10
b = -1
c = 9
1 +/- sqrt((-1)^2 - 4(10)(9)) / 2(10)
1 +/- sqrt(1 - 360) / 20
x = 1 +/- sqrt(359i) / 20
Hope this helps!
Answer:
x> -7/3y -7
Step-by-step explanation: -7y-3x<21
Step 1: Add 7y to both sides.
−3x−7y+7y<21+7y
−3x<7y+21
Step 2: Divide both sides by -3.
-3x/-3 < 7y+21/-3
x>-7/3y -7
Well, we can set up these equations like this-
Deborah- 2+3w
Kai- 12+2w
w=number of weeks that pass
Now, we set them equal to each other:
2+3w=12+2w
Solve for w
2-12=2w-3w
-10 = -1w
w = 10
10 weeks. Hope this helped!
Answer: 8 cm
Step-by-step explanation:
To do this, we just need to divide 256 by each of the numbers.
First let’s divide 256 by 8
256/8=32
Then divide 32 by 4
32/4 = 8.
Therefore your answer is 8 cm.
Answer:
0.25g + 0.05g + 500g = 500.30g
Step-by-step explanation:
The first step is converting everything to grams, by rules of three. Then we add.
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.
Unit conversion problems, like this one, is an example of a direct relationship between measures.
First step: 0.5kg to g
Each kg has 1000g. So
1kg - 1000g
0.5kg - xg
x = 1000*0.5
x = 500g
0.5kg = 500g
Second step: 50mg to g
Each g has 1000mg. So:
1g - 1000mg
xg - 50mg
1000x = 50

x = 0.05g
50mg = 0.05g
Third step: 2.5dg to g
Each g has 10dg. So:
1g - 10dg
xg - 2.5dg
2.5x = 10

x = 0.25g
2.5 dg = 0.25g
Final step: Add
0.25g + 0.05g + 500g = 500.30g