Answer:
25. Not a solution
26. Yes a solution
27. y= 2/3 x
28. y=3x+16
Step-by-step explanation:
25. The solution to a linear equation is the point (x,y). To find if an (x,y) is a solution, substitute it into the equation and see if it works.
y=4x-4 and (8,3)
3=4(8)-4
3=32-4
3=28
False
Not a solution.
26. Repeat 25 to solve 26 with y=5x-5 and (0,-5)
y=5x-5 and (0,-5)
-5=5(0)-5
-5=0-5
-5=-5
True
Yes a solution.
27. This line crosses through the origin is proportional and therefore has the form y=mx. It also has a gentle slant meaning that is less than 1/2 and goes in a positive direction. This means it is y=2/3 x.
28. Use inverse operations to rearrange the equation.
y-3x=16
y=16+3x
y=3x+16
Take the logarithm of both sides. The base of the logarithm doesn't matter.
Drop the exponents:
Expand the right side:
Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :
Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :
You can stop there, or continue simplifying the solution by using properties of logarithms:
You can condense the solution further using the change-of-base identity,
So, let's look at the problem once again.
8%, or 8/100 of the bag were green jelly beans.
Let's see what we can do to find out a number of other jelly beans, not including the green ones.
We know that 92% of jelly-beans are not green.
92% is 11.5 times more than 8%
(92/8)
24 (or 8%) times 11.5 = 276
276 - number of jelly beans that are not green.
276 plus 24 = 300.
Answer: 300 jelly beans were in one bag.
So half of Nina's age is 10/2= 5. And since Greg is three years younger we subtract from 5 like so...
10/2=5
5-3
2
So Greg is 2 years old. I hope this helps love! :)
