Answer:
Miki had 288 stickers and Ken had 252 stickers.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
Miki has x stickers.
Ken has y stickers.
The ratio of the number of Miki's stickers to the number of Ken's stickers was 8:7.
This means that 
, that is: 
, or 
After Miki gave Ken 18 of her stickers, they had the same number of stickers.
This means that:
Since
And
Miki had 288 stickers and Ken had 252 stickers.
Answer: Last Option
Step-by-step explanation:
By definition the sum of the internal angles of a triangle must always be equal to 180 °.
This means that:
Now we solve the equation for the variable x
We subtract 12 in both barks of the equation
Divide by 3 on both sides of the equation
Finally the measure of angle ABC is: (56-5)° = 51°
Answer:
2 more cans
Step-by-step explanation:
2 1/3 x 3 = 7 cans (this the amount of cans of dog food she has)
3 x 3 = 9
the 3 represents how she wants to feed 3 cans of dog food each day for 3 days; the other 3 represents 3 days
9 - 7 = 2
Answer:
Step-by-step explanation:
1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)
Two numbers that work are -6 and +1
-6 x +1 = -6
-6 + -1 = -5
2. Split the middle term into the two numbers that you found.
3x^2 -6x +x -2 = 0
I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.
3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'
3x (x-2) +1 (x-2) = 0
4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.
(3x + 1) (x-2) = 0
5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.
3x + 1 = 0 x-2 = 0
3x = -1 x = 2
x = -1/3
6. The solutions to this equation are x = 2 and x = -1/3
