the sum of three consecutive even numbers is 66. what is the smallest of these numbers

Each piece represents 1/8 of the whole stick of butter.

Jenny needs of a stick of butter. She cuts the half-stick of butter intoTo find the portion of the whole stick of butter that each piece represents, we need to divide the numerator (1) by the denominator (2 x 4 = 8). So each piece represents of the whole stick of butter.

Answer:

$15 in total

Step-by-step explanation:

Final answer:

To find out who had a greater total jump distance, we need to add up the distances of each person's jumps. Jesse and Andrew both had the same total jump distance of 50 feet.

Explanation:

To find out who had a greater total jump distance, we need to add up the distances of each person's jumps.

For Jesse, the total distance is 17 feet + 18 feet + 15 feet = 50 feet.

For Andrew, the total distance is 17 feet + 15 feet + 18 feet = 50 feet.

Both Jesse and Andrew had the same total jump distance of 50 feet.

We can use the addition property of equality to find this answer.

It will take [tex]\( 5.299643 \times 10^4 \)[/tex] hours for the space shuttle to reach Saturn from Earth.

To calculate the time it takes for the space shuttle to reach Saturn from Earth, we need to use the formula:

[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \][/tex]

Given:

Distance from Earth to Saturn = 1,483,900,000 km

Speed of the space shuttle = 28,000 km/h

Convert distance to kilometers in scientific notation:

[tex]\[ 1,483,900,000 = 1.4839 \times 10^9 \][/tex]

Plug values into the formula:

[tex]\[ \text{Time} = \frac{1.4839 \times 10^9 \, \text{km}}{28,000 \, \text{km/h}} \][/tex]

Calculate:

[tex]\[ \text{Time} = \frac{1.4839 \times 10^9}{28,000} \][/tex]

[tex]\[ \text{Time} = 52,996.43 \, \text{hours} \][/tex]

Convert to scientific notation:

[tex]\[ 52,996.43 = 5.299643 \times 10^4 \, \text{hours} \][/tex]

So, it will take [tex]\( 5.299643 \times 10^4 \)[/tex] hours for the space shuttle to reach Saturn from Earth.

Complete Question:

The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach from Earth. Show your work. Convert your answer into scientific notation if necessary. Earth =15000000 Saturn =1483900000

Answer with explanation:

There are following double facts

When a Number is added to itself the result is twice of that number.

 1+1=2 ×1=2

 2+2=2×2=4

  3 +3=2×3=6

4+4=2×4=8

...................

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Number 15 can be written in two ways

15=14+1-----(1)

    =16-1------(2)

So, the double fact that we can use to solve , 8+7=15 are

1.→ 8+7

    =14+1

     =7+7+1

   =(7+7)+1

2. →8+7

  =15-1

=(8+8)-1

Both Samuel and Helena are correct as the slope-intercept form and the point-slope form can be used to find the equation of a line given two points. The slope-intercept form is y = mx + b, while the point-slope form is y - y1 = m(x - x1). The methods vary but both are effective depending on the given information.

Both Samuel and Helena are correct; they have mentioned different forms that can be used to find the equation of a line given two points. The slope-intercept form of a linear equation is commonly written as y = mx + b, where m represents the slope and b represents the y-intercept. The slope, m, describes the steepness of the line, and the y-intercept, b, is where the line crosses the y-axis. In contrast, the point-slope form is written as y - y1 = m(x - x1), where (x1, y1) is a specific point on the line and m is the slope. To find the slope, you take two points on the line, say, (x1, y1) and (x2, y2), and use the formula m = (y2 - y1)/(x2 - x1).

Either form will produce the equation of the line, but they require different approaches. The slope-intercept form immediately gives the y-intercept and is generally used when this information is valuable or when the graph will be drawn. Meanwhile, the point-slope form is particularly handy when you have one point on the line and the slope, as it can be used quickly without re-arranging the equation to solve for the y-intercept.

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Both Samuel and Helena's methods are valid for finding the equation of a line. The slope-intercept form (y = mx + b) requires finding the y-intercept, while the point-slope form (y - y1) = m(x - x1) uses a point on the line directly. Both forms yield the same final equation.

Both Samuel and Helena are correct, but they are using different methods to find the equation of a line. The slope-intercept form and the point-slope form can both lead to the same final equation of the line, which will be consistent after simplifying. Here's a step-by-step explanation of both forms:

Slope-Intercept Form is given by the equation y = mx + b, where m is the slope of the line and b is the y-intercept.

Example:

Given points (1, 2) and (3, 4):

The Point-Slope Form is given by the equation y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Example:

Given points (1, 2) and (3, 4):

y = x + 1.

Both forms ultimately lead to the same linear equation. Choosing which form to use depends on what information is given and personal preference.

Subtracting a negative number is the same as adding its absolute value. Hence, the expression x - (-3) is equivalent to x + 3 in mathematics.

A negative number is equivalent to its absolute value when subtracted in mathematics. This is often referred to as the rule 'minus a negative is a positive'. Therefore, the correct answer is x + 3. This is because when you subtract -3 (which is a negative number), it is the same as adding 3. Here's the step by step explanation:

This means that x - (-3) is equivalent to x + 3.

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