Answer:
Leo is 11 years old
Step-by-step explanation:
* Lets explain how to solve the problem
- Alea is 5 times 3 less than leo's age
- Alea is 40 years old
- Assume that leo's age is x
* Lets change the words to equation
∵ Leo is x years old
∵ Alea is 5 times 3 less than Leo's age
- That means when we subtract 3 from Leo's age and multiply the
difference by 5 the result is Alea's age
∴ Alea's age = 5(x - 3)
- Multiply the two terms of the bracket by 5
∴ Alea's age = 5x - 15
∵ Alea is 40 years old
- Equate the expression of Alea's age by her age
∴ 5x - 15 = 40 ⇒ the equation to find Leo's age
- Add 15 to both sides
∴ 5x = 55
- Divide both sides by 5
∴ x = 11 ⇒ the solution of the equation
∵ x represents the Leo's age
∵ x = 11
∴ Leo is 11 years old
Answer:
His total bill including the tip = $39.6
Step-by-step explanation:
Christopher has breakfast at a cafe and the cost of his meal is $36.00
Because of the service, he wants to leave a 10% tip. This means that he would be paying more than the original cost of the meal. The cost of tip would be determined by multiplying the original cost of the meal by 10%. This becomes
Cost of tip = 10/100 × 36.00 =
0.1× 36.00= $3.6
His total bill including the tip would be sum of the cost of the original bill + cost of the tip. It becomes
36.00 + 3.6 = $39.6
In this question, we would be multiplying.
In this case, you would multiply 20000 by 1.9, since 1.9 is the decimal form of 190%.
Solve:
20000 · 1.9 = 38,000
Answer:
38,000
The answer is 9.
This is a cube root.
9 cubed, or 9 the the third power, is 729
Notice that
so that
We have
so that
You might already know that
so from these formulas we get
If you don't know the formulas mentioned above:
- The first one should be obvious; if you add
copies of 1 together, you end up with . - The second one is easily derived: If
, then 
, so that 
or 
. - The third can be derived using a similar strategy to the one used here. Consider the expression
, and so on.
