Lets make k equal to Kate's age and j equal to Joey's age. If in 5 years Kate will be twice as old as Joe, you can write the equation k+5=2(j+5) and then simplify it to make it easier to work with.
k+5=2(j+5)
k+5=2j+10
k+5-2j=10
k-2j=5
since we know that right know Kate is 11 years older than Joey, you can write the equation k+j=11. Since you know have two equations with with the same variable, you can make a system of equations as fallows:
k-2j=5
k+j=11
Since you need to figure out how old Joey is, you need to somehow get k to cancel out. The easiest thing to do for this problem is to is multiply the top equation by -1 to get:
-k+2j=-5 (you have to add the bottom equation to the top equation)
k+j=11 (-k+k=0, 2j+j=3j, and -5+11=6)
Since k got canceled out, you are left with the equation 3j=6 which means j=2.
Therefore, Joey's current age is 2.
I hope this helps.
Answer:
4x - 5 > 7 = [3,∞)
Step-by-step explanation:
Move all terms not containing x to the right side of the inequality.
4x<u> > </u>12
Divide each term by 4 and simplify.
x <u>> </u>3
Convert the inequality to interval notation.
[3,∞)
I hope this helps
if you could, feel free to mark me Brainliest it would be much appreciated :D
Answer:
166 per person
Step-by-step explanation:
500 divided by 3
A would either be + or -3, or + or minus 4 depending on what b is
Answer: 24m-28
Step-by-step explanation:
According to the distributive property ,
, where a, b and c are any arbitrary expressions.
Given expression : 
By using distributive property , we have
![(6m - 7)\cdot 4= (6m)(4)-(7)(4)\\\\= (6)(4)(m)-28 \ \ \ [\text{By associative property}]\\\\=24m-28](https://tex.z-dn.net/?f=%286m%20-%207%29%5Ccdot%204%3D%20%286m%29%284%29-%287%29%284%29%5C%5C%5C%5C%3D%20%286%29%284%29%28m%29-28%20%5C%20%5C%20%5C%20%5B%5Ctext%7BBy%20associative%20property%7D%5D%5C%5C%5C%5C%3D24m-28)
Hence, the required equivalent expression is 24m-28.
