Suppose you had to find 4 x 57. How are the expanded algorithm and the standard algorithm alike? And how are they different?

Final answer:

An obtuse angle is one measuring between 90 and 180 degrees. Without a diagram, one cannot name a specific obtuse angle with vertex 'n', but generally, any angle appearing to open wider than 90 degrees at vertex 'n' can be considered obtuse.

Explanation:

To determine an angle with a vertex named 'n' that is obtuse, you need to know that an obtuse angle is one that measures more than 90 degrees but less than 180 degrees. Unfortunately, without a diagram or more context, it's impossible to provide a specific example. However, if you're looking at a diagram where an angle is labeled with the vertex 'n', and you can see that the angle opens wider than a right angle (which is exactly 90 degrees), then that angle is likely obtuse.

For instance, let's consider an angle named angle XnY, where 'n' is the vertex or corner point. If the measure of angle XnY is say, 120 degrees, it is definitively an obtuse angle because it falls between 90 and 180 degrees. The notation for an obtuse angle with vertex 'n' could be written as angle XnY (where 'X' and 'Y' stand for the names of the other points that form the angle with vertex 'n').

Any angle with its vertex at point "n" that measures more than 90 degrees and less than 180 degrees would be considered an obtuse angle.

An angle is a measure of the amount of rotation needed to bring one line or plane into coincidence with another, generally measured in degrees or radians.

An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees. Therefore, any angle with its vertex at point "n" that measures more than 90 degrees and less than 180 degrees would be considered an obtuse angle. An example of such an angle could be ∠ABC, where point B is the vertex and the angle measures, for instance, 120 degrees.

A man borrowed $500 at a 12% annual interest rate and repaid it after 18 months. The calculated simple interest on the loan is $6.00.

To calculate simple interest, you can use the formula:

Simple Interest = [tex]\frac{P \times R \times T}{100}[/tex]

where:

- P is the principal amount (the initial amount borrowed),

- R is the rate of interest per annum, and

- T is the time the money is borrowed for in years.

In this case:

- P = $500,

- R = 12%(or 0.12 as a decimal), and

- T = 18 months (which is 1.5 years since [tex]\( \frac{18}{12} = 1.5 \))[/tex].

Now plug these values into the formula:

Simple Interest = [tex]\frac{500 \times 0.12 \times 1.5}{100}[/tex]

Calculate this expression to find the simple interest.

Simple Interest = [tex]\frac{500 \times 0.12 \times 1.5}{100}[/tex]

Simple Interest = [tex]\frac{90}{100}[/tex]

Simple Interest = $6.00

Therefore, the simple interest on a $500 loan at an annual interest rate of 12% over 18 months is $6.00.

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The complete question is:

A man borrows $500 and pays it back after 18 months at 12% per annum. Find the simple interest.

The simple interest is $90.

The formula for simple interest is:

I = PRT

Where:

I = the interest paid

P = the principal amount borrowed

R = the interest rate

T = the time period (in years)

We know that P = $500, R = 12% = 0.12, and T = 18 months = 18/12 = 1.5 years. We can now plug these values into the formula to solve for I:

I = $500 * 0.12 * 1.5 = $90

Therefore, the simple interest is $90.

The complete question is:

A man borrows $500 and pays it back after 18 months at 12% per annum. Find the simple interest.

To find the total cost, we must multiply the amount that was bought by the price of each individual item. So we need to multiply the price of one gallon by how many gallons Tina bought:

[tex] 15.25*2.31=35.227 [/tex]

However, the question says to round to the nearest hundredth, so we must round up. Therefore the total amount Tina paid for the gasoline was $35.23.

If Tina bought 15.25 gallons of gasoline at a price of $2.31 per gallon. The total cost of the gasoline rounded to the nearest hundred will be: $35.23

Using this formula

Total cost=Quantity ×price

Where:

Quantity=15.25 gallons

Price=$2.31 per gallon

Let plug in the formula

Total cost=15.25×$2.31

Total cost=$35.2275

Total cost=$35.23 (Approximately)

Inconclusion if Tina bought 15.25 gallons of gasoline at a price of $2.31 per gallon. The total cost of the gasoline rounded to the nearest hundred will be: $35.23

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The required amount of paint that covers the whole house is 20/ 6 gallons.

Given that,
5/6 gallon of paint covers 1/4 of the house then how much paint is needed for the entire house is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
5/6 gallon of paint covers 1/4 house
5 / 6 gallon  = 1 / 4 house
multiply by 4 on both sides

4 * 5 / 6 = 4 * 1 / 4 house
20 / 6 = 1 house

Thus, the required amount of paint that covers the whole house is 20/ 6 gallons.

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My answer would be the fourth one... 2/14

The commutative property of addition allows us to rearrange the order of terms without changing the sum. Demonstrating this property makes simplifying expressions easier by rearranging terms.

The commutative property of addition states that changing the order of the numbers being added does not change the sum. In the expression (-3 + i) + (18 + 5i), we can demonstrate the use of the commutative property in the first step by rearranging the terms as (-3 + 18) + (i + 5i).

Simplifying further, we get 15 + 6i as the result after applying the commutative property of addition.

Answer:

b) y=35x

Step-by-step explanation:

Since we have a linear function, with b=0 in the form y=mx, then line passes through the Origin (0,0).

We can see y=35x it's the only function with b=0.

Algebraically, let's test it to find out the initial value for x in this function.

y=0

y=35x

0=35x

x=0/35

x=0

(0,0)

Answer:

b) y=35x is the right answer

Step-by-step explanation:

I just did it and it was correct

[tex]\(4.56 \times 10^3\) bulbs/week. After \(9.36 \times 10^2\)[/tex] weeks, approximately [tex]\(4.27 \times 10^6\)[/tex] bulbs produced.

To find the total number of light bulbs the company will produce in [tex]\(9.36 \times 10^2\)[/tex] weeks, you multiply the number of light bulbs produced each week by the number of weeks:

[tex]\[(4.56 \times 10^3) \times (9.36 \times 10^2)\][/tex]

When you multiply numbers in scientific notation, you multiply the coefficients and add the exponents. So:

[tex]\[(4.56 \times 10^3) \times (9.36 \times 10^2) = (4.56 \times 9.36) \times (10^3 \times 10^2)\]\[= 42.6816 \times 10^{3+2}\]\[= 42.6816 \times 10^5\][/tex]

Now, we rewrite [tex]\(42.6816\)[/tex] in scientific notation:

[tex]\[42.6816 = 4.26816 \times 10^1\][/tex]

So, the total number of light bulbs the company will produce is:

[tex]\[4.26816 \times 10^1 \times 10^5 = 4.26816 \times 10^{1+5} = 4.26816 \times 10^6\][/tex]

In scientific notation, the best estimate of the number of light bulbs the company will make in [tex]\(9.36 \times 10^2\) weeks is \(4.27 \times 10^6\).[/tex]

Answer:

Total Number of bouncy balls in two bags

    =One bag contains 27 millimeter balls + One bag contains 40 millimeter balls

   =27 +40

    =67

Now ,67 balls are put equally in 2 machines.

67 is an odd number which can't be divided into equal parts.

→67=33(Machine 1) +34(Machine 2)

          or

→67=34(Machine 1) +33(Machine 2)

Answer:

The answer is A

Step-by-step explanation:the country’s proximity of the equator just took the test

The correct answer is the country's proximity to the equator.

A line notionally drawn on the earth equidistant from the poles, dividing the earth into northern and southern hemispheres and constituting the parallel of latitude 0°.

All the options given, effects the climate of a region less or more, but climate of Brazil is mainly influenced by it location with the earth's equator

The climate of Brazil is generally hot and humid, temperature remains high that is due to its position proximity to the equator.

Brazil's climate is dominated by equatorial and tropical climates.

The equator passes through the northern part of Brazil which means that the sun's rays are perpendicular in this region throughout the year. Hence, making the temperature here is hot.

Hence, the correct option is the country's proximity to the equator.

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n  = unknown number

5 less than 4 times a number = 4n-5

2 more than 3 times a number = 3n+2

 so you have 4n-5 = 3n +2

add 5 to both sides:

4n=3n+7

subtract 3n from both sides:

n = 7

Answer:

One rule to remember that everyone forgets is, multiply the base number as many times as what the exponent is. So for example, 3² is not 3 x 2 = 6, it's    3 x 3 = 9. Hope that makes sense! :)

Step-by-step explanation: