Answer:
x^2 + 5x - 84 = 0
x = 7
Step-by-step explanation:
let the sister's age = y
sister's age (y) = 5 + x equation 1
xy = 84 equation 2
Make y the subject of the formula in equation 2
y = 84/x
equate equation 1 and 2
84/x = 5 + x equation 3
Multiply equation 3 by x
84 = 5x + x^2
x^2 + 5x - 84 = 0
tjis can be solved using quadratic equation
x^2 -7x + 12x -84 = 0
x(x + 12) -7(x + 12)
x = 7 or - 12
age cant be negative so his age is 7
8.4617....
Hope this helped you :)
Yes because if you multiply it by anything it will always be zero
You would do for pens
22 x 1.15 =25.30
And for markets
15 x 2.05 = 30.75
And since you are trying to find how much he spent in all you would add the two sums
25.30 + 30.75 = 56.05
Answer:
or 
Step-by-step explanation:
Let
h ----> a skier's height in centimeters
we know that
A ski shop sells skis with lengths ranging from 150 centimeters to 220 centimeters
The interval of the skis is -----> [150,220]
The compound inequality that represents the heights (in centimeters) of skiers the shop does not provide skis is
----> inequality A
or
----> inequality B
<em>Solve inequality A</em>

Divide by 1.16 both sides

<em>Solve inequality B</em>

Divide by 1.16 both sides

therefore
or 