What is an estimated equation for 231 divided by 32

at Westside high school, 24% of the 215 sixth grade students walk to school. about how many of the sixth grade students walk to

kirill115 [55]

Answer:

about 52 (51.6 to be exact) sixth graders walk to school!

Step-by-step explanation:

1. take 24 and times it by 215

2. divide the above by 100

3. this will give you 51.6

4. round for an approximate value

5 0

3 years ago

Given the polynomial 2x3 18x2 − 18x − 162, what is the value of the constant 'k' in the factored form? 2x3 18x2 − 18x − 162 = 2(

oee [108]

The value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

<h3>What is polynomial equation?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation in the problem is,

$2x^3 +18x^2 - 18x - 162$

The factor of the polynomial equation are given as,

$2(x+ k)(x - k)(x +9)$

First find out the factors to compare and find the value of k.The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 2, which can divide each term of the above equation (2, 18, -18, -162). Thus,

$2(x+ k)(x - k)(x +9)=2(x^3 +9x^2 - 9x - 81)$

Take out the highest common factor to make the groups as,

$2(x+ k)(x - k)(x +9)=2(x^2( x+9) - 9(x + 9))\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 9)\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 3^2)$

Use the property of difference of the square for the (x²-3²) term as,

$2(x+ k)(x - k)(x +9)=2( x+9) (x+3)(x-3)\\2(x+ k)(x - k)(x +9)=2 (x+3)(x-3)( x+9)$

On comparing the two equation, we get the value of k as 3. Thus, the value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

Learn more about factor of polynomial here;

brainly.com/question/24380382

7 0

2 years ago

Barb is going to cover a rectangle area 8 feet by 10 feet with rectangle paving blocks that are 4 inches by 8 inches by 2 inches

soldier1979 [14.2K]

Step-by-step explanation:

First, transform 8 feet and 10 feet into inches so we can work with the same measurements

8 * 12 = 96 in

10 * 12 = 120 in

Next find the patio rectangle area.

96 * 120 = 11520 in^2

Now find the paving block area

4 * 8 = 32 in^2

Now, find out how many paving blocks will go into the patio rectangle area.

11520 / 32 = 360

The minimum number is 360 paving blocks

5 0

3 years ago

Use deductive reasoning to show that the following procedure always produces the number 6. Procedure: Pick a number. Add 4 to th

Flauer [41]

Answer:

procedure always produces 6

Step-by-step explanation:

Let 'n' be the unknown number

Add 4 to the number : n+4

multiply the sum by 3.

multiply the sum n+4 by 3

$3(n+4) is 3n+12$

Now subtract 6, so we subtract 6 from 3n+12

$3n+12-6=3n+6$

finally decrease the difference by the tripe of the original number

triple of original number is 3n

$3n+6-3n= 6$

so the procedure always produces 6

5 0

3 years ago

What is the value of x?

Nata [24]

Answer:

8

Step-by-step explanation:

hypotenuse^2= leg^2 + leg^2

10^2= 6^2 + x^2

100= 36 + x^2

100-36= x^2

64= x^2

√64=√x^2

8= x

7 0

3 years ago