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spin [16.1K]
3 years ago
7

597008.439431 to the nearest thousand

Mathematics
2 answers:
White raven [17]3 years ago
8 0

Answer:

597,000

Step-by-step explanation:

We are asked to round 597008.439431 to the nearest thousand.

We can see that our given number has 7 thousands and 0 hundreds.

Since the hundreds value is 0, which is less than 5, so we will round down our answer to nearest thousand as:

597008.439431\approx 597,000

Therefore, our required number would be 597,000.

vodka [1.7K]3 years ago
5 0

597008.439431 rounded to the nearest thousandth is 597008.439, because a thousandth place is 3 decimal places available, to the right.  


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Solve through substitution
Talja [164]

Answer:

The above system of equation have NO INTERSECTION POINT.

Step-by-step explanation:

Here, the givens system of equation are:

-3 x  + 3 y = 4

and y = x + 3

Now, for the intersection of the equations:

Put y = x + 3 in the given first equation:

-3 x  + 3 y = 4  ⇒ -3x + 3 (x+ 3)  = 4

or, - 3x  + 3x + 9  = 4

⇒ 9 = 4  which gives A CONTRADICTION as 9 ≠ 4

Hence, the above system of equation have NO INTERSECTION POINT.

8 0
3 years ago
The perimeter of a rectangle is equal to 40. If the length is halved and the width is divided by 3, the new perimeter is decreas
Tanzania [10]

Answer:

8

Step-by-step explanation:

<em>   M = Original perimeter = 40</em>

<em>    M = 2 w + 2 l = 2 ( w + l )</em>

<em>           40 = 2 ( w + l )</em>

Divide both sides by 2 (simplify)

<em>                20 = w + l</em>

<em>                w + l = 20</em>

Subtract w from both sides

<em>        w + l - w = 20 - w</em>

<em>             l = 20 - w</em>

If the length is halved and the width is divided by 3 mean:

          <em>New length l1 = l / 2 = ( 20 - w ) / 2 = 10 - w / 2</em>

<em>                       New width w1 = w / 3</em>

The new perimeter is decreased by 24 mean:

        <em> P1 = New perimeter = 40 - 24 = 16</em>

<em>             P1 = 2 w1 + 2 l1 = 2 ( w1 + l1 )</em>

<em>                    16 = 2 ( w1 + l1 )</em>

Divide both sides by 2

           8 = w1 + l1

            w1 + l1 = 8

             w / 3 + 10 - w / 2 = 8

 Subtract 10 to both sides

           w / 3 + 10 - w / 2 - 10 = 8 - 10

             w / 3 - w / 2 = - 2

               2 w / 6 - 3 w / 6 = - 2

                 - w / 6 = - 2

Multiply both sides by - 6

       ( - 6 ) ∙ ( - w / 6 ) = ( - 2 ) ∙ ( - 6 )

                w = 12

                   l = 20 - w = 20 - 12 = 8

Proof:

Original perimeter:

        <em>P = 2 w + 2 l = 2 ( w + l ) = 2 ∙ ( 12 + 8 ) = 2 ∙ 20 = 40</em>

New length:

       <em>l1 = l / 2 = 8 / 2 = 4</em>

New width:

        <em>w1 = w / 3 = 12 / 3 = 4</em>

New rectangle will be the square. ( the square is a special case of the rectangle )

New perimeter:

      <em>P1 = 2 w1 + 2 l1 = 2 ( 4 + 4 ) = 2 ∙ 8 = 16</em>

The length of the original rectangle:

                                <u>l = 8</u>

                            <u>Answer 2</u>

5 0
3 years ago
Solve for the short problem in the screenshot, please!
horsena [70]

Answer:

77/5

Step-by-step explanation:

Simplify the expression.

5 0
4 years ago
Read 2 more answers
Bonnie says that if she drives at an average rate of 40 miles per hour, it will take her about 2 hours to drive 20 miles across
alisha [4.7K]

Answer: no... 40 miles per hour means that Bonnie would travel that distance in 60 minutes. So, to travel 20 miles at 40 mph.. it would take Bonnie 30 minutes

Step-by-step explanation:

5 0
4 years ago
A random survey showed that 35 out of 52 people plan to vote for Mr. Jones for Mayor. About how many people voted in the electio
irina [24]

Answer:

780 people

Step-by-step explanation:

Basically, you have to find the scale by which the people who voted for Mr. Jones was, and then you have to multiply that scale by the number of people from the survey, which was 52. So here, 525 people voted for Mr. Jones, so we have to divide 525 by 35, which was the number of people that voted for Mr. Jones from the survey. You get 15 as the scale number, and multiply that by 52 to get 780, which is the total number of people that voted, assuming that these two are directly proportional.

3 0
3 years ago
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