What is 7/16 simplified

Answers

Answer 1
Answer: you cant simplify it . it is already simplified 
Answer 2
Answer: You cannot simplify it further because it is already in its simplest form


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3 1 whole numbers ^ 1 2 -- - -- 3 3

What is the following number in decimal form? 8.49 x10^-7

Answers


8.49 x 10⁻⁷  =  0.000000849

8.49*10^(-7)
= 0.000000849

The final answer is 0.000000849~

Boris is ordering supplies for his company. He ordered 20 boxes of pencils and 32 boxes of pens. What is the ratio of boxes of pens ordered to boxes of pencils ordered? Please reduce your answerA. 8:5
B. 16:10
C. 32:20
D. 9:3

Answers

(boxes \ of \ pens)/(boxes \ of \ pencils)=(32)/(20)=(8 * 4)/(5 * 4)=\boxed{(8)/(5)} \Leftarrow A

Answer:

8:5

Step-by-step explanation:

I did the question on study island  trust me. :)

Divide p(x) = x4 + 6x3 + 7x2 − 6x − 8 by x + 4 and by x − 3 to find the remainder in each case. Make sure to use the remainder theorem.

Answers

The remainder theorem says that dividing a polynomial p(x) by x-c leaves a remainder of p(c). Here, c=-4, then c=3.

p(-4)=0

p(3)=280

Final answer:

When you divide the given polynomial by x + 4, the remainder is 0. When you divide by x - 3, the remainder is 428.

Explanation:

To divide the polynomial p(x) = x^4 + 6x^3 + 7x^2 − 6x − 8 by x + 4 and x - 3 using the remainder theorem, first you substitute the roots of the divisor into the polynomial.

For x + 4, the root is -4. Substituting -4 into the polynomial yields p(-4) = (-4)^4 + 6*(-4)^3 + 7*(-4)^2 - 6*(-4) - 8 = 0. Thus, the remainder is 0 when dividing by x + 4.

For x - 3, the root is 3. Substituting 3 into the polynomial yields p(3) = (3)^4 + 6*(3)^3 + 7*(3)^2 - 6*(3) - 8 = 428 . Thus, the remainder is 428 when dividing by x - 3.

Learn more about Polynomial Division here:

brainly.com/question/36507743

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The population of a city in 2005 was 18,000. By 2010, the city’s population had grown to 32,800. If the population growth follows a linear model, what is the projected population for 2015?

Answers

The projected population in 2015,assuming that the populationgrowth follows a linearmodelis 47600

  • Population in 2005 = 18000
  • Populationafter5years(2010)=32800

Population change in 5 years :

  • 2010 population - 2005 population

  • 32800 - 18000 = 14800

Estimatedpopulationvaluein2015:

  • 2010 Population + population change in 5 years

  • 32800 + 14800 = 47600

Therefore, the projected populationsize in 2015is 47600

Learn more : brainly.com/question/19060921

The rate is (32,800 - 18,000) = 14,800 per 5 years 
therefore : 
in 2015 = 2010 + 5 years 
the pop. will be : 
32,800 + 14,800 = 47,600 

Hope this helped☻

Which equation represents a circle with a center at (2, –8) and a radius of 11?

Answers

(x-h)^2 +(y-k)^2 = r^2 is the equation for a circle centered at (h,k) and radius r

(x-2)^2 +(y- (-8))^2 = 11^2

(x-2)^2 +(y+8)^2 = 11^2

Answer:(x-2)^2 +(y+8)^2 = 11^2

Answer:

(x-2)^2 + (y+8)^2 = 11^2

Step-by-step explanation:

The standard equation of a circle with center at (h,k) and radius r is

(x-h)^2 + (y-k)^2 = r^2.

Filling in the given info, we get:  

(x-2)^2 + (y+8)^2 = 11^2

Which equation represents the line shown in the graph below? A. y = 2x - 3

B. y = -3y + 2

C. y = 3y - 2

D. y = -3y - 2

Answers

The equation used to for slope intercept form is commonly used. 

y = mx + b

Let us find the y-intercept first.

The place where the line crosses the y axis is 2.

y = mx + 2

Now, find the slope.

Find two points on the line, then solve.

m = (y2 - y1)/(x2 - x1)

Alright, I found two points on the line:-  (-2,8) and (2, -4)

m= (-4 - 8)/(2--2)

m = -12/4
m = -3

The slope is -3. The y-intercept is 2

Lets put them into the equation

y = -3x + 2

Final answer:  
B.    y = -3x + 2

The equation that represents the line shown in the graph is:

B. y = -3x + 2

Further explanation

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

\large {\boxed {m = (y_2 - y_1)/(x_2 - x_1)}}

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

\large {\boxed {y - y_1 = m ( x - x_1 )} }

Let us tackle the problem!

From the graph , the line goes through the point ( -1 , 5 ) and ( 0 , 2 ).

Let:

( x₁ , y₁ ) = ( 0 , 2 )

( x₂ . y₂ ) = ( -1 , 5 )

\texttt{ }

We can calculate the gradient of the graph by using this following formula:

m = ( y_2 - y_1 ) / ( x_2 - x_1 )

m = ( 5 - 2 ) / ( -1 - 0 )

m = 3 / (-1)

m = -3

\texttt{ }

Next , we can find the equation of the graph by using this following formula:

y - y_1 = m ( x - x_1 )

y - 2 = -3 ( x - 0 )

y - 2 = -3x

y = -3x + 2

\texttt{ }

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point