--------------------------------------------------
Define x :
--------------------------------------------------
Let Cheryl be x years old.
Cheryl = x
Lisa = x + 6
--------------------------------------------------
In two years time:
--------------------------------------------------
Cheryl = x + 2
Lisa = x + 8
--------------------------------------------------
Lisa will be twice as old as Cheryl :
--------------------------------------------------
x + 8 = 2(x + 2)
--------------------------------------------------
Solve x :
--------------------------------------------------
x + 8 = 2(x + 2)
x + 8 = 2x + 4
x = 4
--------------------------------------------------
Find their age :
--------------------------------------------------
Cheryl = x = 4
Lisa = x + 6 = 4 + 6 = 10
--------------------------------------------------
Answer: Lisa is 10 years old now.
--------------------------------------------------
Simplify both sides of the equation
Subtract 2 from both sides
Divide both sides by 5
OR
Tan52° = x/29
The angle of elevation is 52°, so that must be inside the tan function.
Tan is the ratio of the opposite side to the adjacent side. Jessica’s height is unknown, so we can call that x. The adjacent side of the triangle is the shadow, which is 29’m. Since tan is opposite over adjacent (remember SOH CAH TOA), the fraction must be x/29.
Answer:
4 free wedges of cheese
Step-by-step explanation:
From the above question:
3 sticks of butter purchased = 1 free wedge of cheese
12 sticks of butter purchased = x
Cross Multiply
3 × x = 12 × 1
x = 12/3
x = 4 free wedges of cheese
Therefore, when Baby Jr. Buys 12 sticks of butter, she will receive 4 free wedges of cheese.
Seventy-six and one tenth
