Samah has made 20kg of chilli. There are 100g of chilli in a portion. how many portions of chilli has Samah made?

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%.  

The distance covered by an airplane flying at 300mph for 7 hours is 2100 miles.

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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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.

Answer:

its d

Step-by-step explanation:

5 1/2 gallons of water is equivalent to 88 cups of water. This is calculated by understanding that one gallon equals 16 cups, and therefore multiplying 5.5 (5 1/2 in decimal form) by 16.

The subject of this question is a simple conversion in mathematics. To make this conversion, we need to understand the basic relationship between gallons and cups. In U.S. standard measurements, one gallon is equivalent to 16 cups. So, if we have 5 1/2 gallons, we would multiply this by 16 to get the equivalent number of cups. Hence, 5.5 (which is 5 1/2 in decimal form) multiplied by 16 equals 88. So, 5 1/2 gallons of water is equivalent to 88 cups of water.

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Answer:

The mistake is the sing of the "3" on the second term.

a=1

Step-by-step explanation:

The mistake was changing the sing of the second term in the first step. You could found it highlighted below.

4a-5=2a-3

4a-2a-5=3  ( the correct expression will be 4a-2a-5=-3)

2a-5=3

2a=8

So ,  the correct answer is

4a-2a-5=-3

2a=5-3

2a=2

a=1

Final answer:

Multiplying two negative integers always results in a positive integer because the negatives cancel each other out.

Explanation:

When you multiply two negative integers, the result will always be a positive integer. Each negative sign cancels the other out, leading to a positive product. For example, if you take two negative integers such as -2 and -3, when you multiply them (-2) x (-3), you obtain 6, which is a positive integer. This is a consistent rule in mathematics, so whenever you multiply two negatives, you can expect the result to be positive.

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.

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:

Solving the equations, we combine like terms:

Now we know the dryer costs $650 and the washer costs $650 + $200 = $850.

The expression 8⋅54 can be rewritten as 8⋅(50 + 4) using the distributive property. This mathematical property allows us to break down the sum and perform the multiplication individually.

The expression 8⋅54 can be rewritten using the distributive property in mathematics as 8⋅(50 + 4). This property allows you to multiply a sum by breaking it into two parts - in this case, 54 is broken down into 50 and 4. The multiplication is then performed on both these parts separately. When using the distributive property, we follow the steps:

1. Identify the number to be distributed, in this case, it's 8.

2. Break down the other number into two simpler components we can easily multiply with, like 50 and 4 for 54.

3. Multiply the distributing number with each of these parts separately. That gives us: 8⋅50 and 8⋅4.

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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.

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.

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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Answer:

B. 33 years.

Step-by-step explanation:

Let N represent Nia's age in years.

We have been given that Nia is 3 years younger than Jordan. So Jordan's age would be 3 years more than Nia's age that is [tex]N+3[/tex] years.

We are told that Jordan is 36 years old.  We can represent this information in an equation as:

[tex]N+3=36[/tex]

[tex]N+3-3=36-3[/tex]

[tex]N=33[/tex]

Therefore, Nia's age is 33 years.