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The original price of the soft drink machine was $600, obtained by using the percentage reduction formula to find that $90 represents 15% of the original price.

To find the original price of the soft drink machine before the 85% reduction, we first need to understand what a percentage reduction means. An 85% reduction implies that the final price is only 15% of the original price, as 100% - 85% = 15%. Therefore, the $90 you paid is 15% of the original price.

Next, we will step through the following calculation to determine the original price:

Therefore, the original price of the soft drink machine was $600.

the number isn't large enough to round to the nearest ten thousandths.

 that would be the 4th digit to the right of the decimal point, so we would need the 4th and 5th numbers to the right in order to round the answer.

The two linear expressions are;

⇒ - 15x + 8 and 10x - 4

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The value of two linear expressions with a sum of -5x+4.

Now,

Let the two linear expression as;

⇒ - 15x + 8 and 10x - 4

After adding, we get;

⇒ - 15x + 8 + 10x - 4 = - 5x + 4

Thus, The two linear expressions are;

⇒ - 15x + 8 and 10x - 4

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The pressure of 1036.0 mb converts to 30.59 inches of mercury (in. Hg) using the conversion factor that 1 inch of Hg is approximately 33.8639 mb.

A pressure of 1036.0 mb (millibars) when converted to inches of mercury (in. Hg) is equivalent to 30.59 inches. This conversion is relevant in fields like meteorology and aviation where pressure readings are essential. To convert millibars to inches of mercury, one must use the conversion factor that 1 inch of Hg is approximately equal to 33.8639 mb. Therefore, the calculation would look like this:

This means the correct answer is B. 30.59 in.

The Scientific notation of numbers is,

⇒ 3.7 × 10⁻⁴

We have to give that,

A standard form of number is,

⇒ 0.00037

Since Scientific notation is a way of writing very large or very small numbers.

For example; 230,000,000 can be written in scientific notation as

2.3 x 10⁸.

Hence, the Scientific notation of numbers is,

⇒ 0.00037

⇒ 3.7 × 10⁻⁴

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To convert from grams to hectograms, you divide the number of grams by 100. So, 567 grams is equivalent to 5.67 hectograms.

The question involves the conversion from grams (g) to hectograms (hg). To convert from grams to hectograms, you divide the number of grams by 100, because there are 100 grams in 1 hectogram. So, to convert 567 grams into hectograms:

Step 1: Divide the number of grams by 100. This can be written as:

567 ÷ 100 = 5.67

So, 567 grams is equal to 5.67 hectograms.

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−6.4+3.7  is equivalent to 3.7−6.4

Decimal numbers are numbers in which there are commas or decimal points.

The value of each number in decimal numbers is based on a comparison of the number 10

In a decimal system, the numbers have the following consecutive values ​​(the place value of the digits in a number): hundred thousands, ten thousands, one thousands, hundreds, tens, ones, decimal points, tenths, hundredths, thousandths, ten thousandths , hundred thousandths

Between ones and tenth values ​​separated by commas (decimal points)

Decimal numbers can also be expressed as proper or mixed fractions

The position of each digit in decimal numbers is important.

Because the decimal number is based on the number 10, As we move left, each position is 10 times bigger, and As we move right, each position is 10 times smaller

On the left of the decimal point is a whole number

"Equivalent to" mean having the same value.

In the decimal addition operation, we must pay attention to the place value

Addition between decimal numbers must be the same place value, for example between hundreds with hundreds, ten with ten and so on

Or if we use a vertical addition system, one under the other, pay attention to the decimal point, must be straight from top to bottom

In this addition operation we check the results of the addition of each decimal number operation

3.7−6.4 = - 2.7

a. 6.4 + 3.7 = 10.1

b. 6.4 - 3.7 = 2.7

c. -6.4 + 3.7 = -2.7

d. - 6.4 - 3.7 = -10.1

Answer choices that have the same result is option C

Or simply this is the commutative form of addition operations

a + b = b + a (a = -6.4, b=3.7)

-6.4+3.7 = 3.7 +(-6.4)

-6.4+3.7 = 3.7 - 6.4

place value

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the place value: 12,354,897  

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Round 141,999 to the nearest tenth, hundredth, ten, and hundred.

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Keywords: decimal, decimal point, addition, equivalent to

The equivalent expression of [tex]3.7 - 6.4[/tex] is [tex]\boxed{ - 6.4 + 3.7}[/tex]. Option (c) is correct.

Further explanation:

Given:

The options are as follows,

A. [tex]- 17 + 2x[/tex]

B. [tex]- 2x + 17[/tex]

C. [tex]- 2x -17[/tex]

D. [tex]17 + 2x[/tex]

Explanation:

The associative property is defined as a grouping of multiplication, addition, subtraction and division.

[tex]\boxed{a + \left( {b + c} \right) = \left( {a + b} \right) + c}[/tex]

In commutative property we interchange the numbers or digits.

This property can be used for multiplication and addition. It cannot be used in division and subtraction.

Commutative property for addition is [tex]\boxed{x + y = y + x}[/tex]

The expression is [tex]3.7 - 6.4.[/tex]

[tex]A = 3.7 - 6.4[/tex]

By commutative property of addition the expression can also be expressed as follows,

[tex]\begin{aligned}A&= 3.7 - 6.4\\&= - 6.4 + 3.7\\\end{aligned}[/tex]

The equivalent expression of [tex]3.7 - 6.4[/tex] is [tex]\boxed{ - 6.4 + 3.7}[/tex]. Option (c) is correct.

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system

Keywords: expression, equivalent, division, equation, multiplication, exponents, parenthesis.

-2/5 = -4/10

1/2 = 5/10

-4/10 + 5/10 = 1/10

Answer:

Step-by-step explanation:

Its 5 units

Answer:

Hayden

Step-by-step explanation:

Financial responsibility involves cutting your spending back to less than your income, paying your bills on time and trying to minimize credit usage.

Hallie has multiple loans at the same time; this is not financially responsible.

Hayden has more income than the amount of debt; this is financially responsible.

Alison made payments less than the minimum amount due; this is not financially responsible.

Joel made late payments several times; this is not financially responsible.

Hayden is financial responsible.

Financial responsibility involves cutting your spending back to less than your income, paying your bills on time and trying to minimize credit usage.

As, Hallie has multiple loans at the same time which is not financially responsible.

Hayden has more income than the amount of deb which is financially responsible.

Alison made payments less than the minimum amount due which is not financially responsible.

Joel made late payments several time which is not financially responsible.

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