Answer:
-6 < x
Step-by-step explanation:
4 - 5x < 22 - 2x rearrange the expression so like terms will be in the same sides of inequation
4 - 22 < -2x + 5x
-18 < 3x
-6 < x
Answer:
<u>1 shaded to 3 unshaded</u>
Step-by-step explanation:
Well,
There are 4 shaded triangles and 12 unshaded. (16 in all)
But, when you simplify it,
The ratio is 1 shaded to 3 unshaded
Hope this helps!!!
So first you need to find a formula for who has what!
Because nobody said what chase had, chase is our variable!
Chase = x
Sophie = x-6 (six less than Chase so subtraction)
Jonah = x•3 (three times the amount of Chase)
Now you will put all of this in an equation- adding everybody together! The total is 89 so that will be what’s after the equal sign!
Your equation: x+x-6+x•3=89
First you will use PEMDAS, since there are no parentheses or exponents- you’ll do multiplication first!
x+x-6+(x•3)=89
When you multiply that out, you will be left with: x+x-6+3x=89
Second you will add all common terms! Remember- the 3x means there are THREE x’s in that one spot. Take out all x’s in the equation and add them together!
x+x+3x=5x
Now you are left with:
5x-6=89
Now you will solve this like a regular equation! First, you have to move the -6 to the right so you will do the inverse operation (the opposite sign) and add 6 to both sides! 89+6 is 95 and -6+6 is 0, so the 6 on the left cancels out and isn’t there anymore!
Now you have 5x=95. To get the x by itself, you will divide both sides by 5! (Once again, doing the inverse operation! Since 5 and x are being multiplied, you have to divide.)
When you divide, you are left with x=19. In this question, the answer is:
Each person has $19.
Answer:
144, 36, 9, 2 
Step-by-step explanation:
The recursive formula allows us to find a term in a sequence from the previous term.
Given
= 
Given the fourth term we require to work back to the third term , second and so on. Rearrange the formula to give
Multiply both sides by 4, then
= 4
Given a₄ = 2 , then
a₃ = 4 × a₄ = 4 × 2 = 9
a₂ = 4 × a₃ = 4 × 9 = 36
a₁ = 4 × a₂ = 4 × 36 = 144
