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professor190 [17]
2 years ago
11

samuel needs to estimate the product of 24 x 395. Explain two different methods Samuel can use to estimate.

Mathematics
1 answer:
JulsSmile [24]2 years ago
4 0

Samuel needs to estimate the product of 24 x 395.

First method

We round the number to nearest tens

24 can be rounded to 20 because we have 4 on ones place

395 can be rounded to 400 because we have 5 in ones place so we add 1  with 9 and it becomes 10 . so we add 1 with 3 and got 400

20 * 400 = 8000

Second method:

We round the number to nearest hundreds place

24 have no number in hundreds place so it remains 24

395 can be rounded to 400 because we have 9 in tens place.

24 * 400 = 9600


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Answer:

y=2x-14

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

y=mx+b

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b is the y-intercept

In this problem we have

m=2\\point\ (9,4)

substitute the given in the equation

4=2(9)+b

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4-18=b

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therefore

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y=2x-14

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Step-by-step explanation:

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3 years ago
Use the ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second.
Vanyuwa [196]

The quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

<h3>How to determine the quotient and remainder when the first polynomial is divided by the second?</h3>

The polynomials are given as:

-4w^3 + 5w^2 - 8, w - 3

Set the divisor to 0.

So, we have

w - 3 = 0

Add 3 to both sides

w = 3

Substitute w = 3 in -4w^3 + 5w^2 - 8 to determine the remainder

-4(3)^3 + 5(3)^2 - 8

Evaluate the expression

-71

This means that the remainder when -4w^3 + 5w^2 - 8 is divided by w - 3 is -71

The quotient (Q) is calculated as follows:

Q = [-4w^3 + 5w^2 - 8]/[w - 3]

The numerator can be expressed as follows:

Numerator = -4w^3 + 5w^2 - 8

Subtract the remainder.

So, we have:

Numerator = -4w^3 + 5w^2 - 8 + 71

This gives

Numerator = -4w^3 + 5w^2 + 61

So, the quotient becomes

Q = [-4w^3 + 5w^2 + 61]/[w - 3]

Expand

Q = [(w - 3)(-4w^2 - 7w - 21)]/[w - 3]

Evaluate

Q = -4w^2 - 7w - 21

Hence, the quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

6 0
1 year ago
The ratio of boys to girls at Longwood High School is 6:7. There are 1,722 girls in the High School. Write and solve a proportio
DochEvi [55]

Answer:

1476 boys

Step-by-step explanation:

We are going to use ratio here:

6/7=x/1,722

so then we simplify

(1,722*6)/7 =

1476 boys

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2 years ago
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Charra [1.4K]

Answer:7

Step-by-step explanation:

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13p-1=90

13p=91

p=7

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3 years ago
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