What are two ways to find the total cost of a pair of shoes for $57 with a sales tax of 2%?
Answer:
The total cost is $58.14.
Step-by-step explanation:
Given : A pair of shoes for $57 with a sales tax of 2%.
To find : What are two ways to find the total cost ?
Solution :
Cost price CP=$57
Sales tax S=2%
One way :
The total cost is given by,
[tex]C=CP+2\%\text{ of } CP[/tex]
[tex]C=57+\frac{2}{100}\times 57[/tex]
[tex]C=57+1.14[/tex]
[tex]C=58.14[/tex]
The total cost is $58.14.
Another way :
Using selling price formula,
[tex]SP=\frac{100+S\%}{100}\times CP[/tex]
[tex]SP=\frac{100+2}{100}\times 57[/tex]
[tex]SP=1.02\times 57[/tex]
[tex]SP=58.14[/tex]
The total cost is $58.14.
A fair coin is flipped 100 times and the results are recorded in the table below.
Which statement is correct?
A) The theoretical probability of the coin landing on heads is 7/20.
B) The experimental probability of the coin landing on tails is 1/2.
C) The theoretical probability of the coin landing on tails is 1/2.
D) The experimental probability of the coin landing on heads is 13/20.
Option C) is the correct statement as the Theoretical Probability of the coin landing on tails is 1/2
What do we mean by theoretical probability?Theoretical probability is the ratio of favorable outcomes to the total number of outcomes.
What do we mean by experimental probability?Experimental probability or empirical probability is based on a particular experiment using the same formula.
How do we determine probabilities by the question?Experimental probability of getting heads
= Frequency of heads/Total observations
= 35/100 = 7/20
Experimental probability of getting tails
= Frequency of tails/Total observations
= 65/100 = 13/20
The theoretical probability of getting a heads
= Favorable outcomes of getting heads/Total possible outcomes
= 1/2
The theoretical probability of getting a tails
= Favorable outcomes of getting tails/Total possible outcomes
= 1/2
When we cross-check with the options,
A) Incorrect, as the Theoretical Probability of the coin landing on heads = 1/2
B) Incorrect, as the Experimental Probability of the coin landing on tails = 13/20
C) Correct, as the Theoretical Probability of the coin landing on tails = 1/2
D) Incorrect, as the Experimental Probability of the coin landing on heads = 7/20
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What are the x-intercept and the y-intercept of the graph of y=14x+8 ? Enter your answers in the boxes. x-intercept: y-intercept:
I don't get how to do this. Please Explain step-by-step please.
(-8x³y²)² × 2x²y⁶
--------------------------
32x⁸y³
Whats not an example of square root
24/4 = ?/1. 40/5 = ?/1
whats 40a-8 factorize
A small business earns a profit of $6500 in January and $17,500 in May. What is the rate of change in profit for this time period?
Consider the division problem 1/2 ➗ 3. Describe a situation this division could represent. Then draw a diagram to represent the division. Then find the solution.
The formula for dividing fractions.
= a/b ÷ c/d
= a/b x d/c
= (axd) / (bxc)
The 1/2 ÷ 3 situation that represents can be:
Half of the cake is left and the leftover cake is divided among 3 people.
The solution of 1/2 ÷ 3 is 1/6
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
1/2 ÷ 3
This expression situation can be represented as:
Half of the cake is left and the leftover cake is divided among 3 people.
The formula for dividing fractions.
= a/b ÷ c/d
= a/b x d/c
= (axd) / (bxc)
The solution for 1/2 ÷ 3.
= (1/2) / 3
= 1/(2x3)
= 1/6
Thus,
The 1/2 ÷ 3 situation that represents can be:
Half of the cake is left and the leftover cake is divided among 3 people.
The solution of 1/2 ÷ 3 is 1/6
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Please help with the following:
1. For what value(s) of "r" is 3r-6=7+3r
A) all real numbers
B)all negative numbers
C)0
D) no values of r
2. What is the range of f(x)=[[x-1]]?
A)all reals
B)all integers
C)all real > or = 1
D)all integers > or = 1
Which of the following best defines 3 to the power of 2 over 3?
Square root of 9
Cube root of 9
Cube root of 3
Square root of 3
Answer:
The cube root of 9
Step-by-step explanation:
Nathan brought a pair of boots for $80 and 1 shirt for $20. the sales tax is 5%. how much did Nathan pay for all the items including tax ?
Angelo says that if you know one unit rate in a proportional relationship, the other unit rate is always the multiplicative inverse of the unit rate you know. Is Angelo correct? Explain.
Cual es el resultado de la suma de polínomios (5a + a2 - 14) (10a + a2 + 39)
Five less than the product of a number n and -6 is at least 8.
A) 5-(-6n)≥8
B -n/6-5≥8
C) -6n-5≥8
The required inequality is -6n - 5 ≥ 8. Option (C) is correct.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
Given that,
When 5 is subtracted from the product of number n and -6 is at least 8.
The product of number n and - 6 = -6n
Subtract 5 from product of number n and -6 = -6n - 5
To write the inequality that shows that 5 less than -6n is at least 8,
Implies that, -6n - 5 can be grater than or equal to 8.
The inequality can be expressed as,
-6n - 5 ≥ 8
Hence, option (C) is correct.
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X+4y=6 y=-x+3 solve each system of linear equations by substitution
EXPLAIN how to find the LCM of 6 and 4
There are 46 legs in a zoo exhibit. The number of 2 legged animals is 2 more then the number of 4 legged animals. How many of each is in the exhibit?
Rachel and her cousin, Lena, live in different cities that are about 100 miles apart. On a map, the two cities measure 5 inches apart. What is the scale factor used for the map?
what does a and b equal in this equation.
a − 3b = 16
a square room has a tile floor with a hundred square tiles how many tiles are along the edge of the room
The number of tiles along the edge of a square room with a hundred square tiles is 10.
First, we need to recognize that a square room means all sides are of equal length. Since the room is tiled with square tiles throughout, the number of tiles along one edge will be the same as the other.
If there are a hundred square tiles in total, this represents the area of the square which is the product of the lengths of its sides (since the area of a square is given by side x side).
To find the length of a side, we take the square root of the total number of tiles. In this case, the square root of 100 is 10.
Therefore, there are 10 tiles along the edge of the square room.
Use the distributive property to solve each problem 5x13
To solve 5x13 using the distributive property, we can distribute 5 to both terms inside the parentheses and simplify the expression.
Explanation:Using the distributive property, we can solve 5x13 as:
5x13 = (5 x 10) + (5 x 3)
= 50 + 15 = 65.
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solve each equation 2n-5=21
A man comes into a store and steals $100 from the register without the owner knowledge. Comes back and buys $70 worth of stuff and the owner gives him $30 in change. How much money did the owner lose
Answer
The owner lose is $100 .
Reason
As given
A man comes into a store and steals $100 from the register without the owner knowledge.
Comes back and buys $70 worth of stuff and the owner gives him $30 in change.
i.e First man steals $100 than give back to owner when he buys $70 worth of stuff and the owner gives him $30 in change.
Therefore the total owner lose is the sum of $70 worth of stuff and $30 in change.
Total owner lose = $70 + $30
= $100
Therefore the owner lose be $100 .
Hence proved
1. A local pizzeria sold 65 pizzas yesterday.
(a) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning.
To find the answer, you first need to find 20% of 65. So you Add this number, 13, to 65. This will give you the number you need, which is 78.
(b) Suppose the actual number of pizzas sold today was 60. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth. Show your work.
what is the place value of the diget 6 in the decomal number 4.769
Ron walk 0.5 mile on the track in 10 minutes Stevie walk 0.25 miles on the track in six minutes find the unit rate for each walker in miles per hour who is a fast walker
Determine if each function is linear or nonlinear.
Select each function and put it in the correct column its suppose to go in. Ex: A is linear or non.
Linear:
Non-Linear:
A) y = x/2 - 19
B) 2y = x to the 2nd power
C) 13y = 1/3x + 5
D) y = x + √25
E) √y = x
Help pls hello pls hello hello
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EXPLAIN to me how you got the answer