how to find the 23rd term of -21.-27.-33.-39
current rules for telephone area codes allow the use of digits 2-9 for the first digit and 0-9 for the second and third digits. how many different area codes are possible with this rules? That same rule applies to the exchange number. which are the three digits immediately preceding the last four digits of a phone number. Given both of those rules, how many 10- digit phone numbers are possible? given that rules apply to the United States and Canada and a few islands, are there enough possible phone numbers? (assume that the combined population is about 400,000,000.
Final answer:
There are 800 possible area codes and exchange numbers each, following the given digit restrictions. The total number of unique 10-digit phone numbers given these rules is 6,400,000,000, which is sufficient considering a population of about 400,000,000.
Explanation:
The question addresses how many different area codes and phone numbers are possible given certain digit restrictions for both the United States and Canada. For the area code, the first digit can be any from 2 to 9, which gives us 8 possibilities, and the second and third digits can be any from 0 to 9, which provides 10 possibilities each. Therefore, the number of different area codes is 8 × 10 × 10 = 800.
Applying the same rules to the exchange number, which also has three digits, we have another 800 possibilities. Considering there are 10,000 combinations for the last four digits (from 0000 to 9999), we can calculate the total number of unique 10-digit phone numbers by multiplying the possibilities for the area code, exchange number, and the last four digits: 800 × 800 × 10,000 = 6,400,000,000 possible phone numbers.
Since the combined population of the United States, Canada, and a few islands is about 400,000,000, this amount of possible phone numbers is more than sufficient to provide a unique phone number for every individual.
How would you "remove the discontinuity" of f ? In other words, how would you define f(5) in order to make f continuous at 5? f(x) = x2 − 3x − 10 x − 5
Divide 5 on each side. Then that would be the answer,f=-8
How do you know when a function is continuous?Saying a characteristic f is continuous whilst x=c is the same as announcing that the characteristic's two-side restrict at x=c exists and is identical to f(c).
How many are continuous variables?Continuous variables are numeric variables that have a limitless quantity of values among any two values. A non-stop variable may be numeric or date/time. For example, the length of a part of the date and time a payment is acquired.
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can someone help with me with (bi)
can u help me with question 37?
A store item is originally priced at $80. The item goes on sale at a 25% discount. Two weeks later that sales price is marked down an additional 10%. What is the current price of the item?
A 6.3
B 7.5
C 6.7
D 6.5
Which rate is equivalent to the unit rate of 13 miles per gallon? (5 points)
Answer:
26/2
Step-by-step explanation:
i just know its right cause i got it right
write a problem multiplying a 3-digit number by a 2-digit number. Show all steps to solve it by using place value and regrouping and by using partial products.
By breaking down each number into its place value parts, performing six separate multiplications, and then adding those products together, you can multiply a three-digit number by a two-digit number.
Explanation:The multiplication of a three-digit number by a two-digit number can be accomplished via place value and partial products. To illustrate, consider multiplying 123 by 25. Begin by breaking down 123 into 100 + 20 + 3 and 25 into 20 + 5.
Next, multiply each part of the three-digit number by each part of the two-digit number, which gives us 100 * 20, 20 * 20, 3 * 20, 100 * 5, 20 * 5, and 3 * 5. When you add these six products together, you get: 2000 + 400 + 60 + 500 + 100 + 15 = 3075, which is the result of 123 * 25.
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For each mixed number, find the decimal for the fraction part. Then write the mixed number as a decimal. 7 3/4 ______ 11 5/6______ 12 3/10 _______ 8 5/18______
what % of $30,000 = $15,000
How to write four million
Nicole is trying to determine an algebraic expression to represent the amount of dog biscuits she needs to purchase for a dog show. She does not know how many dogs will attend the event but wants to have 2 biscuits per dog plus an additional 35 dog biscuits. If d represents the number of dogs, which expression represents the number of dog biscuits Nicole will need for the event?
Answer:
[tex]2d+35[/tex]
Step-by-step explanation:
Let d represents the number of dogs that will attend the event.
She wants to have 2 biscuits per dog plus an additional 35 dog biscuits.
So, the expression that represents the number of dog biscuits Nicole will need for the event is :
[tex]2d+35[/tex]
2d because 2 biscuits for each dog where 'd' is the number of dogs. And 35 is constant because she will be taking extra 35 with her.
The sum of two consecutive even integers is 218. What are the integers
The required two consecutive even integers that add up to 218 are 108 and 110.
What are integers?Integers are numbers that can be written without a fractional or decimal component, such as -3, -2, -1, 0, 1, 2, 3, and so on. They include the positive whole numbers (1, 2, 3, etc.), the negative whole numbers (-1, -2, -3, etc.), and zero.
To find the two consecutive even integers that add up to 218, we can use algebra.
Let's represent the first integer "x".
Since it is even, we know that it can be divided by 2 with no remainder.
Since it is also consecutive to the second integer, we can say that the second integer is "x + 2".
We can set up the equation:
x + (x + 2) = 218
Simplifying, we get:
2x + 2 = 218
2x = 216
x = 108
So the two consecutive even integers that add up to 218 are 108 and 110.
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What is 362,584 rounded to the nearest thousand?
A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?
What times what equals 18
Cora sliced 18 kg of green apples for a Party. she divided the Apple slices equally bettween 5 large bowls. How many grams of Apple slices did Cora put in each bowl. kilogram = 1000 grams
The number of grams should be 3,600 grams.
Given that,
Cora sliced 18 kg of green apples for a Party. she divided the Apple slices equally between 5 large bowls.
Based on the above information, the calculation is as follows:
[tex]= 18\times 1,000 \div 5[/tex]
= 3,600 grams
Therefore we can conclude that The number of grams should be 3,600 grams.
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Marshall bought some pet supplies for $15. The sales tax was 6%. He wrote the expression 1.06(15) to find his total cost.
Which equivalent expression could he also use to find the total cost?
A (1+0.06)15
B 1+0.06(15)
C15+0.6(15)
D15 + 0.06
Answer:
A is correct
Step-by-step explanation:
Marshall bought some pet supplies for $15
The sales tax was 6%
Expression: 1.06(15)
Cost of pet = $15
Sale tax = 6% of 15
= 0.06×15
Total cost after sale tax = 15 + 0.06×15
Take out 15 common = (1+0.06)15
The given expression is equivalent to (1+0.06)15
1.06(15) = (1+0.06)15
Using (1+0.06)15 to find total cost.
using the formula distance = rate * time find the distance covered by an airplane flying at 300mph for 7 hours
The distance covered by an airplane flying at 300mph for 7 hours is 2100 miles.
What is speed?Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.
Given that, an airplane flying at 300mph for 7 hours,
Speed = distance/time
Distance = speed×time
Distance covered in 7 hours = 300×7 = 2100
Hence, the distance covered by the airplane is 2100 miles.
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an appliance store sells a washer dryer combination for $1500 if the washer costs $200 more than the dryer find the cost of each appliance.
To find the cost of the washer and the dryer when the total cost is known along with the difference in their costs, we used a simple algebraic method of solving equations to determine that the dryer costs $650 and the washer costs $850.
Explanation:The question involves solving a system of linear equations to find the cost of two items whose total and difference in cost are known. To find the cost of each appliance, let's denote the cost of the dryer as x dollars. According to the problem, the washer costs $200 more than the dryer, so the washer's cost would be x + $200. The total cost of both appliances is $1500.
We can set up the following system of equations:
x + (x + 200) = 1500Solving the equations, we combine like terms:
2x + 200 = 15002x = 1300x = 650Now we know the dryer costs $650 and the washer costs $650 + $200 = $850.
On a trip Jeff’s car goes 112 miles and uses 4
gallons of gas what is the unit rate for mile to gas
janet has 17 quarters and $13 in bills.How much total money does she have?
Abe is going to plant 54 oak trees and 27 pine trees. Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree. What is the greatest number of trees Abe can have in each row?
Answer with explanation:
Number of oak trees =54
Number of pine trees =27
→Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree.
We, will take H CF that is highest common factor of 54 and 27.
54 = 2×3×3×3
27=3×3×3
→H CF(54,27)=3 × 3×3=27
So, greatest number of trees Abe can have in each row =27,and there will be maximum of 3 rows, 2 containing oak tree because [tex]\frac{54}{27}=2[/tex], and one containing pine tree because[tex] \frac{27}{27}=1[/tex].
The greatest number of trees in each row is 27.
What are factors?
The factors of a number are numbers that divide the original number into equal numbers. They are numbers that when they are used to divide another number, the result is an integer.
What is the greatest number of trees that can be in each row?
In order to determine the required value, we have to determine the common factors of 27 and 54.
Factors of 27 = 1, 3, 9 and 27Factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54.Common factors = 1, 3, 9, 27To learn more about factors, please check: https://brainly.com/question/26073850
Use absolute value to express the distance between -10 and 16 on the number line.
A robot can complete 7 tasks in 4/5 hour. Each task takes the same amount of time.
Approximately it takes 6.85 minutes to complete 1 task.
Given that, a robot can complete 7 tasks in 4/5 hour.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
It takes 4/5 hour (48 minutes) to complete 7 tasks.
Now, 48/7 = 6.85 minutes
So, it takes 6.85 minutes to complete 1 task.
Therefore, approximately it takes 6.85 minutes to complete 1 task.
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"Your question is incomplete, probably the complete question/missing part is:"
A robot can complete 3 tasks in 4/5 hour. Each task takes the same amount of time.
How long does it take the robot to complete one task?
Which equation has the solution x=1+- sqrt 5?
Answer:
its d
Step-by-step explanation:
What percent of the first 20 natural numbers are prime numbers?
Answer: The required percentage is 40%.
Step-by-step explanation: We are given to find the percentage of the first 20 natural numbers that are prime.
We know that
first 20 natural numbers are 1, 2, 3, 4, . . . , 19, 20.
And, the prime numbers among them are 2, 3, 5, 7, 11, 13, 17 and 19.
So, if S be the sample space for the experiment and A be the event of selecting a prime number.
Then, we have
n(S) = 20 and n(A) = 8.
Therefore, the probability of event A is given by
[tex]P(A)=\dfrac{n(A)}{n(S)}=\dfrac{8}{20}=\dfrac{2}{5}\times100\%=40\%.[/tex]
Thus, the required percentage is 40%.
What is
1. 1 2/3+ 2 2/3
2. 1 2/5 + 3 2/5
a cube shaped terrarium has a volume of 27/64 cubic feet. what is the length of its sides?