Determine the time needed to deliver 72 papers at a rate of nine papers in 18 minutes

The value of each digit in a number is known as the place value. The place value to which each number was rounded.0.546 to 0.55 is hundredths place value.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits

Round 0.546 to the nearest hundredths place value.

We have, 0.546

Rounding to the nearest hundredths place value

4 is in hundredths place value

Since 6 is greater than 5 we can write 4 as 5.

0.55 is our answer.

Thus, if we round to the nearest hundredths place value we get 0.55.

Learn more about Decimal place values here:

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Answer:

160 miles.

Step-by-step explanation:

A train leaves a station at 10 : 40 a.m.

and arrives at its destination at 1 : 20 p.m.  = 13 : 20 p.m.

Now we will subtract the time of departure to calculate the total time taken by the train.

 13 : 20

- 10 : 40

  2 : 40       Train took 2 hours 40 minutes to reach its destination.

Now we will convert 2 hours 40 minutes to decimal form.

2 hours and (40/60) = 2.66 minutes

If the average speed of the train was 60 miles per hour.

Since in one hour train traveled 60 miles

Therefore, in 2.66 hours train traveled = 60 × 2.66

                                                                 = 159.6 ≈ 160 miles

The distance would be 160 miles.

Final answer:

The difference between a linear equation in one variable and in two variables lies in the number of variables and their graphical representation: a linear equation in one variable like 'x + 5 = 0' represents a point on the x-axis, while a linear equation in two variables like 'y = 2x + 3' represents a straight line on a plane.

Explanation:

Difference between a Linear Equation in One Variable and Two Variables

The main difference between a linear equation in one variable and a linear equation in two variables is the number of variables involved and how they can be graphically represented. A linear equation with one variable can be written in the form ax + b = 0, where a and b are constants, and x is the variable. This equation represents a single straight line in a two-dimensional space, where all points on the line have the same x-coordinate. For example, x + 5 = 0 is the equation of a vertical line represented by the point where x is -5.

On the other hand, a linear equation in two variables typically has the form y = mx + b, which represents a line in two-dimensional space where m is the slope of the line and b is the y-intercept. Here, x is the independent variable and y is the dependent variable. As x changes, y changes in a way that the relationship between them remains constant, making the graph a straight line. For example, y = 2x + 3 is an equation of a line with a slope of 2 and a y-intercept of 3.

When comparing the two types of equations, it's clear that linear equations in two variables can represent a broader range of relationships between two quantities, allowing for a visual representation of the relationship as a slope on a graph.

Rebecca will travel another 610 miles on her way back from Omaha to Indianapolis, not -610 miles, as distance is a scalar quantity and does not adopt a negative sign. The total round trip distance is therefore 1220 miles.

When Rebecca returns home from her trip to Omaha, Nebraska, she will indeed travel another 610 miles. However, the use of -610 miles might be misleading in this context. In mathematics, especially when discussing distance, the concept of negative numbers often represents direction rather than decrement. Therefore, saying Rebecca will travel -610 miles could imply direction, but since she is returning to her starting point, the actual distance traveled is 610 miles, the same as her outbound trip.

Distance, as a quantity, is scalar and therefore always non-negative. When keeping track of total distance travelled, irrespective of direction, the concept of positive and negative doesn’t apply—the distance simply adds up. So, the total distance Rebecca travels (going to Omaha and then back to Indianapolis) would be 1220 miles. This demonstrates the concept of absolute value in mathematics, where the focus is on the magnitude of a number without regard to its sign.

Answer:

Yes, there is a proportional relation.

Step-by-step explanation:

Given,

Ounces of flour for 8 ounces of milk = 15,

So, the ounces for 1 ounces of milk = [tex]\frac{15}{8}[/tex]

Let y be the ounces of flour for x ounces of milk,

∵ The ounces for x ounces of milk = [tex]\frac{15}{8}x[/tex]

[tex]\implies y = \frac{15}{8}x-----(1)[/tex]

Which is the required relation,

Since,

[tex]0=\frac{15}{8}(0)[/tex] ( True )

I.e. line [tex]y=\frac{15}{8}x[/tex] passes through the origin,

Hence, the relationship (1) is proportional.

Mrs. Winkle downloaded 93 songs and Mr. Winkle downloaded 127 songs, which equals the total of 220 songs they downloaded together.

The total number of songs downloaded by Mr. and Mrs. Winkle is 220. If Mr. Winkle downloaded 34 more songs than Mrs. Winkle, we can set up a system of equations to solve for the number of songs each downloaded. Let x represent the number of songs Mrs. Winkle downloaded, so Mr. Winkle downloaded x + 34 songs.

The equation representing the total number of songs downloaded by both is:

x + (x + 34) = 220

Combining like terms gives us:

2x + 34 = 220

Subtracting 34 from both sides, we get:

2x = 186

Dividing both sides by 2, we find:

x = 93

So, Mrs. Winkle downloaded 93 songs and Mr. Winkle downloaded 93 + 34, which is:

Mr. Winkle downloaded 127 songs.