Answer: 54
-------------------------------------------------------------------
Explanation:
The first ratio is 1:6. The jump from 1 to 6 has us multiplying the 1 by 6 to get 6.
1*6 = 6
So we follow the same rule of "multiply by 6" to go from 9 to 54 (9*6 = 54)
Or you can use a proportion to get
1/6 = 9/x
1*x = 6*9 ... cross multiply
x = 54
and we get the same answer
Answer: $18
Step-by-step explanation:
Let x= Pretax price of the meal.
Given: Sales tax = 8%
Tip percent = 20%
As per given ,
Amount spent = ( Pretax price) + (Sales tax ) of (Pretax price) + (Tip percent)of (Pretax price)
= x+ 8% of x + 20% of x
= x +0.08+0.20x
= 1.28x
∵ Amount spent = $23.04
So,
Hence, the pretax price of the meal= $18.
Answer:
Step-by-step explanation:
We would apply the law of Cosines which is expressed as
a² = b² + c² - 2abCosA
Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes
JK² = JL² + KL² - 2(JL × KL)Cos10
JK² = 61² + 53² - 2(61 × 53)Cos10
JK² = 3721 + 2809 - 6466Cos10
JK² = 6530 - 6367.767
JK² = 162.233
Taking square root of both sides of the equation, it becomes
JK = √162.233
JK = 12.73 to the nearest tenth
