Answer:
The total cost of commodities = $61.82
Step-by-step explanation:
Sam visited the mall to purchase a shirt and a pair of shoes. The price of the shirt is $12.72. The price of the pair of shoes is $44.00.
The tax rate in the shop = 9%.
We have to find the total price Sam has to pay.
The total cost of the shirt and the pair of shoes = 12.72 + 44 = $56.72
Now there is tax of 9%.
So the cost becomes 1.09 times the initial value.
Hence the final price = 56.72
= $61.82
The final price of shirt and shoes = $61.82
Answer:
We conclude that:
Step-by-step explanation:
Given
The product of 6g² and -2g³ can be determined by multiplying each other such as:
Apply the rule: a(-b) = -ab
Apply exponent rule: 
Therefore, we conclude that:
Answer:
a) 4/15
b) 4/15
Step-by-step explanation:
maximum wait is 1 min,2 min,3 min,4 min,5 min,6 min,7 min,8 min,9 min,10 min,11 min,12 min,13 min,14 min,15 min =total 15 values
a) less than 4 min means he has to wait for 1 min, 2 min, 3 min, 4 min=total 4 values
Probability of wait for less than 4 minutes=4/15
b) more than 11 minutes wait means he has to wait for either 12 min, 13 min, 14 min, 15 min=4 values
Probability of wait for more than 11 minutes=4/15
Here are some things you should know when solving algebraic equations.
If you add an expression to both sides of an equation, the resulting equation will have the same solution set as the original equation. In other words, they will be equivalent. This is true for all operations. As long both sides are treated the same, the equation will stay balanced.
You will also need to know how to combine like terms. But what are like terms to begin with? Like terms are defined as two terms having the same variable(s) (or lack thereof) and are raised to the same power. In mathematics, something raised to the first power stays the same. So, 5x and 10x are like terms because they both have the same variable and are raised to the first power. You don’t see the exponents because it doesn’t change the value of the terms.
To combine like terms, simplify add the coefficients and keep the common variable(s) and exponent.
The distributive property is another important rule you will need to understand.
The distributive property is used mostly for simplifying parentheses in expressions/equations.
For example, how would you get rid of the parentheses here?
6(x + 1)
If there wasn’t an unknown in between the parentheses, you could just add then multiply. That is what the distributive property solves.
The distributive property states that a(b + c) = ab + ac
So, now we can simplify our expression.
6(x + 1) = 6x + 6
