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Rama09 [41]
3 years ago
14

What is a reasonable estimate for 786 x 217?

Mathematics
1 answer:
zhuklara [117]3 years ago
5 0

Answer:

160,000

Step-by-step explanation:

Estimations like this usually involve rounding to easy numbers to multiply. You could do this in a number of ways depending on your ability to keep track of factors in your head, but the easiest way (and what I assume your teacher is looking for) is to round to the nearest, largest-power-of-ten, which in this case is the hundreds. 786 is closest to 800, and 217 is closest to 200, and 200*800 is 160,000. No calculator required is the key. You can also be slightly more sure that this is <em>reasonable</em> because you rounded up for one and down for the other, approximately by the same amount, too.

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Students measure the length of their feet in inches. The data is shown in the frequency table below. If the data were displayed
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Step-by-step explanation:

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The Elkwood Aquatic Society is working with various reptile species to increase their populations. The initial population of 450
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Write <br> 108<br> 13<br> as a mixed number.
gayaneshka [121]

Answer:

8 4/13 Is the Correct Answer!

Step-by-step explanation:

Numerator. This is the number above the fraction line. For 108/13, the numerator is 108.

Denominator. This is the number below the fraction line. For 108/13, the denominator is 13.

Improper fraction. This is a fraction where the numerator is greater than the denominator.

Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 108/13 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

108/13= 8.3076923076923 = 8

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (8) and multiply it by the original denominator (13). The result of that multiplication is then subtracted from the original numerator:

108 - (13 x 8) = 4

Step 3: Our mixed fraction

We've now simplified 108/13 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

8  

4

13

Step 4: Simplifying our fraction

In this case, our fraction (4/13) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 4 and 13 is 1.

xXxAnimexXx

6 0
3 years ago
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Find the remainder when f(x) = x^3 + 14x^2 − 7x − 10 is divided by x − 3.
Elanso [62]

Answer:

122

Step-by-step explanation:

(3)³ + 14(3²) - 7(3) - 10

122

Used remainder theorem

6 0
3 years ago
what is the smallest of three consecutive integers i the sum of the smaller two integers is two more than seven times the larges
NNADVOKAT [17]

Answer:

The numbers that meet these conditions are -3, -2 and -1.

This means that the wording of the question is somewhat ambiguous:

The <em>lowest</em> of the three numbers is -3.

The <em>smallest</em> however is -1.

You may need clarification on which of those is being asked for.

Step-by-step explanation:

Let's call those numbers a, b and c, with a the smallest and c the largest. We're told two key things here:

1) The sum of the smaller two integers is two more than seven times the largest integer.  In other words a + b = 7c + 2

2) We're looking for three consecutive integers, which means that we can define them with a single variable.  If the smallest one is a, then the others are a + 1 and a + 2.

We can take those and put them together, giving us the equation:

a + (a + 1) =  7(a + 2) + 2

Which we can then solve for a:

a + (a + 1) =  7(a + 2) + 2

2a + 1 = 7a + 14 + 2

2a - 7a = 14 + 2 - 1

-5a = 15

a = -3

Since a is -3 and also the smallest, we can then say that the numbers are -3, -2 and -1.

3 0
3 years ago
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