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3 years ago

Give an example of two numbers that are both 6-digit numbers, but the greater number is determined by the hundreds place

1 answer:

6 0

The order of the numbers for a 6-digit number from left to right is as follows:
hundred thousands, ten thousands, thousands, hundreds, tens and then units

We want two numbers were the greater number is determined by its hundreds place, these two numbers can be:
165,827 and 165,229
The hundreds in the first is 8 while the hundreds in the second is 2. Therefore, the first number is larger.

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The graph plots four equations, A, B, C, and D: Line A joins ordered pair negative 6, 16 and 9, negative 4. Line B joins ordered

Margaret [11]

Answer:

The pair of equations which has (2,12) as its solution is,

equation B and equation C.

Step-by-step explanation:

According to the question,

equation of line A is $\frac {y - 16}{x + 6} = \frac {16 + 4}{-6 - 9}$

or, $\frac {y - 16}{x + 6} = \frac {-4}{3}$

or, $3y - 48 = -4x - 24$

or, 3y + 4x = 24 ------------------(1)

Now, the point (2, 12) doesn't satisfy (1). Hence, (2,12) is not a solution for the line A.

Equation of line B is, $\frac {y - 20}{x + 2} = \frac {20 - 0}{-2 - 8}$

or, $\frac {y - 20}{x + 2} = -2$

or, $y - 20 = -2x - 4$

or, y + 2x = 16 -----------------------------(2)

The point (2,12) is satisfied by (2). Hence, (2, 12) is a solution for line B.

Equation of line C is, $\frac {y + 6}{x + 7} = \frac {20 + 6}{6 + 7}$

or, $\frac {y + 6}{x + 7} = 2$

or, y + 6 = 2x + 14

or. y - 2x = 8 -----------------------------------(3)

The point (2, 12) is satisfied by (3). Hence, (2 , 12) is a solution for the line C.

Equation of line D is, $\frac {y - 20}{x - 7} =\frac {20 + 7}{7 - 0}$

or, $\frac {y - 20}{x - 7} = \frac {27}{7}$

or, 7y - 140 = 27x - 189

or, 7y - 27x = -49----------------------------------------(4)

The point (2, 12) is not satisfied by (4). hence, (2, 12) is not a solution of the line D

Hence, the pair of equations which has (2,12) as its solution is,

equation B and equation C.

6 0

4 years ago

Factor 15 + 50.<br> 5(10 + 3)<br> 5(3 + 10)<br> 3(5 + 25)<br> 10(5 + 5)

Agata [3.3K]

Answer:

Step-by-step explanation:

So we have the expression:

$15+50$

Since 5 goes into both 15 and 50, we can factor out a 5. First, rewrite the numbers as:

$5(3)+5(10)$

Factor out the 5:

$=5(3+10)$

So, our answer is B

And we're done!

8 0

3 years ago

The sum of three consecutive even integers is -78. What is the smallest integer? Show all working outs (5)

svet-max [94.6K]

Answer:

The smallest integer is -27 and the integers are -27, -26, and -25

Step-by-step explanation:

We can represent this with:

x + x - 1 + x - 2 = -78

Simplify.

3x - 3 = -78

Add 3 to both sides.

3x = -75

Divide both sides by 3.

x = -25

So, the first integer is -25.

Subtract two to get the smallest integer.

-25 - 2 = - 27

3 0

3 years ago

The data from the U.S. Census Bureau for 1982−2003 shows that the surface area of the United States that is covered by rural lan

Wewaii [24]

If we plug in 0 for x, we can receive the data for the year 1982. Doing so shows us that the Rural area was 1,417.4 million acres and the total area was 1,839.4 million acres. Therefore, we can conclude that the majority of the area of the United States was rural in 1982.

5 0

3 years ago

Examine the linear table to find the slope, y-intercept, and write the equation for this linear relationship . NEED HELP PLEASE

gizmo_the_mogwai [7]

Answer:

$y = \frac{4}{3} x + 17$

Step-by-step explanation:

The table shows a set of x and y values, thus showing a set of points we can use to find the equation.

1) First, find the slope by using two points and substituting their x and y values into the slope formula, $\frac{y_2-y_1}{x_2-x_1}$ . I chose (-3, 13) and (0,17), but any two points from the table will work. Use them for the formula like so:

$\frac{(17)-(13)}{(0)-(-3)} \\= \frac{17-13}{0+3} \\= \frac{4}{3}$

Thus, the slope is $\frac{4}{3}$ .

2) Next, identify the y-intercept. The y-intercept is where the line hits the y-axis. All points on the y-axis have a x value of 0. Thus, (0,17) must be the y-intercept of the line.

3) Finally, write an equation in slope-intercept form, or $y = mx + b$ format. Substitute the $m$ and $b$ for real values.

The $m$ represents the slope of the equation, so substitute it for $\frac{4}{3}$ . The $b$ represents the y-value of the y-intercept, so substitute it for 17. This will give the following answer and equation:

$y = \frac{4}{3} x + 17$

7 0

3 years ago