If the total number of books checked out of the library at your high school is 14,400 and the student population is about 2400. how many books on average does each student have?

Answer: 17

Explanation

P-5=12

Transpose 5 to the other side

It will become +5 after transposing becuase it was -5 before transposing

P=12+5

P=17

PLSSS MARK AS BRAINLIEST

Answer:

16 + 16 + 27 x 3 = 113 m

Step-by-step explanation:

perimeter is the outer length of all the sides of the figure so add two sides of triangle and three sides of the square as one of the side is inside the figure.

Answer:

Step-by-step explanation:

perimeter = 16 + 16 + 27+27+27 =113

ANSWER=113

The Vertex is at (3, 0)

The Axis of symmetry is; x = 3

The x-intercept is; x = 3

We are given the quadratic equation as;

y = -2(x - 3)²

Expanding this gives us;

y = -2(x² - 6x + 9)

y = -2x² + 12x - 18

x coordinate of vertex = -b/2a = -12/(2 * -2) = 3

y coordinate of vertex = f(3) = -2(3)² + 12(3) - 18 = 0

Vertex is at (3, 0)

Axis of symmetry is the x coordinate of vertex = -b/2a = -12/(2 * -2) = 3

x-intercepts is gotten by finding the roots which are; x = 3 and 3

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The created by extending one side of a triangle is called: C. an exterior angle.

An exterior angle of a triangle is an angle that is formed by extending any of the sides of a triangle. The angle formed, which is called the exterior angle, has a measure that is equal to the sum of the opposite interior angles of the triangle.

Therefore, the angle shown in the image given that is created by extending one side of a triangle is called: C. an exterior angle.

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Answer:

G = (-1,4)

I drew it and work it out tho

The reflection transformation of the given diagram means that; W' X' is parallel to Z' Y'

Reflection over y-axis is a reflection or flip over the y-axis where the y-axis is the line of reflection used. The formula for this is: (x,y) →(−x,y) ( x , y ) → ( − x , y ) .

To reflect an equation over the y-axis, simply multiply the input variable by -1: y=f(x)→y=f(−x) y = f ( x ) → y = f ( − x )

Thus, looking at the given image and applying the transformation rule above, we can say that the reflection of parallelogram WXYZ across the y-axis would mean that W' X' is parallel to Z' Y'

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Answer: 4567

Step-by-step explanation:

Applying the linear pair postulate, m<SQR = 74°.

According to the linear pair postulate, the equation below is holds true:

m<TQS + m<SQR = 180.

m<TQS = (3m + 1)°

m<SQR = (2m + 4)°

Substitute the values

(3m + 1) + (2m + 4) = 180

Solve for m

3m + 1 + 2m + 4 = 180

Add like terms

3m + 2m + 1 + 4 = 180

5m + 5 = 180

Subtract 5 from both sides of the equation

5m + 5 - 5 = 180 - 5

5m = 175

m = 35

m<SQR = (2m + 4)° = 2(35) + 4 = 74°.

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Answer:

y =x + 3

Step-by-step explanation:

i gotchu

The equation of the graph is (x-3)(x+1), the y-intercept of y=[tex]x^{2} -5x+4[/tex] is "4" and the factors of  y=[tex]x^{2} -5x+4[/tex] are (x-4) ad (x-1)

Given that a graph touch x-axis at 2 points i.e. 2 roots are there for given graph.The graph touches the x-axis at (3,0) and (-1,0) it implies x=3 and x=-1 are the solutions the equation,(x-3) and (x+1) are factors of equation

Therefore,the equation of graph is  (x-3)(x+1).

Given the equation y=[tex]x^{2} -5x+4[/tex]

The y-intercept is defined as the graph passing a fixed point at x=0 line

i.e.(0,c) pass through it . c is the y-intercept

c=0-0+4

c=4

Therefore,The y-intercept of  the equation y=[tex]x^{2} -5x+4[/tex] is 4

Factorising  y=[tex]x^{2} -5x+4[/tex]

⇒  y=[tex]x^{2} -5x+4[/tex]

⇒y=[tex]x^{2} -x-4x+4[/tex]

⇒y=x(x-1)-4(x-1)

⇒y=(x-4)(x-1)

Therefore, the factors of  y=[tex]x^{2} -5x+4[/tex] are (x-4) and(x-1)

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The value of e is 33/5 or 6.6 era.

It is given in the question that:-

e*i = 9r

Where,

e represents era

i represents the number of innings pitched, and

r represents the number of earned runs allowed

Also, we are given that:-

i = 45 innings, and

r = 33 earned runs allowed

We have to find the value of e for the given data.

Hence, applying the formula given in the question, we get

e*45 = 9*33

Now, as only one variable is left in the equation, it has become a linear equation in one variable.

Hence, solving the linear equation, we get

e = (9*33)/45

e = 33/5

e = 6.6 era

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Quadratic equations are equations that has a leading degree of 2. The solution to the given quadratic equation are 1/3 and 2

Quadratic equation are equation that has a leading degree of 2. Given the quadratic equation as shown:

3x^2=7x+2

Equate to zero to have:

3x² - 7x + 2 = 0

Factorize

3x² - 6x - x +2 = 0

3x(x-2) - 1(x- 2) = 0

Group

(3x-1)(x-2) = 0

3x - 1 = 0 and x - 2 = 0

Determine the values of x

3x = 1 and x = 2

x = 1/3 and 2

Hence the solution to the given quadratic equation are 1/3 and 2

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The distributive property of multiplication over addition is A (B + C) = AB + AC.

Properties of Numbers.

Numbers are have 5 main properties of operation which are:

Given,

Here we have to write the distributive property of multiplication over addition of a conditional statement.

Basically, the distributive property defines the distributing ability of operation over another mathematical operation within a bracket.

It can be either distributive property of multiplication over addition or distributive property of multiplication over subtraction.

Here we need to write the distributive property of multiplication over addition of a conditional statement.

So, The distributive property of multiplication over addition is expressed as

=> A × (B + C) = AB + AC.

Let us verify this property with the help of an example.

For example:

The expression 2(1 + 4) using the distributive law of multiplication over addition.

=> 2(1 + 4) = (2 × 1) + (2 × 4)

⇒ 2 + 8 = 10

Hence, the distributive property of multiplication over addition is stated.

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[tex]\frac{Y}{6} - 3 = -11[/tex]

[tex]\frac{Y}{6} - \frac{18}{6} = -\frac{66}{6}[/tex]

[tex]Y - 18 = -66[/tex]

[tex]Y = -66 + 18 = -48[/tex]

Answer:

judging from the list of numbers i would pick a

Answer:

-1/5

y=-1/5 x-8

-1/5 is the slope

Step-by-step explanation:

-1/5

Formula-    y=mx+b

The slope-intercept form is

y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Rewrite in slope-intercept form.

Simplify the left side

Simplify each term.

Combine 1/8 and x.

x/9+5y/8=-5

Subtract x/8 from both sides of the equation.

5y/8=-5-x/8

Multiply both sides of the equation by8/5.

8/5.5y/8=8/5(-5-x/8)

Simplify both sides of the equation.

Simplify the left side.

Simplify 8/5.5y/8

y=-x/5-8

y=-1/5 x-8

Step-by-step explanation:

Given equation:

1/8x + 5/8y =-5

Now write it in standard form like ax+by+c=0

1/8x + 5/8y + 5= 0

Now,slope of line (m) = -a/b

here value of a is 1/8 and value of b is 5/8

now by formula..

-(1/8)÷(5/8) = m(slope)

-1/8 × 8/5 = m

-1/5 = m

here ia your answer

The coordinates of point A is(-1,5) of coordinate  plane.

What is the short definition of a coordinate plane?

For point (x1,y1) and (x2,y2) on coordinate plane if m is the midpoint of these points, then coordinate of mid point  is given by

(x1+x2)/2,  (y1+y2)/ 2

Given point

B= (-5,1)

M = (-3,3)

we have to find point A, let it be (x,y)

using the above formula , midpoint m is

-3= (-5+x)/ 2                    3=  (1+y)/ 2

-3*2= -5+x                           6= 1 +y

-6 +5 = x                             6-1 =y

x = -1                                    y = 5

Thus, the coordinates of point A is(-1,5).

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This speed in meters per hour is 0.01 meter per hour

The given parameter is

Speed = 63 centimeters every 2 days

Divide 63 by 2

So, we have:

Speed = 31.5 centimeters every day

There are 24 hours in a day

So, we have

Speed = 31.5 centimeters every 24 hours

100 cm equals 1 m

So, we have:

Speed = 0.315 meters every 24 hours

Divide

Speed = 0.013125 meter per hour

Approximate

Speed = 0.01 meter per hour

Hence,  this speed in meters per hour is 0.01 meter per hour

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The scientific notation for the mass of 49,000 molecules of oxygen is 4.9 × 10⁴ grams.

To transform numbers into scientific notation, use the following rule: In scientific notation, the exponent equals the number of times the decimal point must always be shifted to produce a number between 1 and 10.

For the given value;

= 49,000 grams

write the number such that only one digit is left to the left of decimal of the number and the remaining digits to the write are written to the power of 10

= 4.9000 × 10⁴

This could be written as;

= 4.9 × 10⁴.

Therefore, the value of the mass of 49,000 oxygen molecules in the form of scientific notation is 4.9 × 10⁴ grams.

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Answer:

4 and 3 over 4 yards

Step-by-step explanation:

9. Enrique would earn $7. 50 per hour. Option B

10. The number of girls that were at the assembly is 1390 . Option J

11. 40% of 60 is 24 . Option C

12. The simple interest is $72. 00 . Option F

13. The factory produces 1080 shoes on Tuesday. Option D

9. From the information given, we have;

He would earn;

= 420/ 56

= $7. 50 per hour

10. We have that;

The number of girls at the assembly would be;

= 23/ 20 × 1200

= 1. 15 × 1200

= 1380

11. Let the number be x

40% of x = 24

40/ 100x = 24

0. 4 x = 24

Make 'x' the subject

x = 24/ 0. 4

x = 60

12. The formula for simple interest is expressed as;

Simple interest = PRT / 100

Simple interest = 300 × 4 × 6/ 100

Simple interest = 7200/ 100

Simple interest = $72. 00

13. We have that;

Monday's production = 900 shoes

Tuesday's production = 900 + 900 × 20% = 900 × 20/ 100 = 18000/ 100 = $900 + 180

= $1080

Thus, the total amount Enrique earns per hour is $7. 50 .Option B

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Answer:

x = 34

Step-by-step explanation:

1/4(x - 2) + 4 = 12

Subtract 4 from both sides.

1/4(x - 2) = 8

Multiply both sides by 4.

x - 2 = 32

Add 2 to both sides.

x = 34

   [tex]\bf{\dfrac{1}{4}(x-2)+4=12 }[/tex]

     [tex]\bf{\dfrac{1}{4}x+\dfrac{1}{4}(-2)+4=12 }[/tex]

             [tex]\bf{\dfrac{1}{4}x+\dfrac{-2}{4}+4=12 }[/tex]

             [tex]\bf{\dfrac{1}{4}x-\dfrac{1}{2}+4=12 }[/tex]

               [tex]\bf{\dfrac{1}{4}x-\dfrac{1}{2}+\dfrac{8}{2} =12 }[/tex]

                 [tex]\bf{\dfrac{1}{4}x+\dfrac{-1+8}{2 }=12 \ \ \longmapsto \ \ [Sum \ -1 \ and \ 8] }[/tex]

                      [tex]\bf{\dfrac{1}{4}x+\dfrac{7}{2 }=12 }[/tex]

                         [tex]\bf{\dfrac{1}{4}x=12-\dfrac{7}{2} }[/tex]

                         [tex]\bf{\dfrac{1}{4}x=\dfrac{24}{2}-\dfrac{7}{2} }[/tex]

            [tex]\bf{\dfrac{1}{4}x=\dfrac{24-7}{2} \ \ \longmapsto \ \ [Subtract \ 7 \ from \ 24] }[/tex]

                   [tex]\bf{\dfrac{1}{4}x=\dfrac{17}{2 }[/tex]

              [tex]\bf{x=\dfrac{17}{2}\times4 \ \longmapsto \ \ x=\dfrac{17\times4}{2} \ \ \ [Multiply \ 17 \ and \ 4.] }[/tex]

                            [tex]\bf{x=\dfrac{68}{2} \ \ \longmapsto \ \ \ [Split] }[/tex]

                               [tex]\red{\boxed{\bf{\blue{Answer \ \ \longmapsto \ \ x=34}}}}[/tex]

Answer:

0.9375 or 0.94

It cannot be rounder to the nearest hundred, but it can be rounded to the nearest hundredth

You also could've just gone and searched 15/16. T-T

The decimal 15/16 is a decimal rounded to the nearest hundred will be  0.9375.

Decimal consists of two parts whole number and a fraction part. They are separated by a term called decimal.

Example = 532.11

we know that 15/16 is a fraction, so we divide 15/16  on dividing it we will get,  

  [tex]\frac{15}{16}[/tex]    =       [tex]\frac{9735}{1000}[/tex]

        =       [tex]0.9375[/tex]

On rounding to the nearest hundred we get  0.9375.

since it is asked for a hundred place not for the hundredth place so value will remain the same.

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Answer:

x = 20

Step-by-step explanation:

Hello!

Solve for x by isolating the variable.

The value of x is 20.

The equation which represents the relationship between 'h' the number of hours, and c, the total cost is y = 250x+850.

A straight line equation is a mathematical equation that describes the relationship between the coordinate points on that straight line. It can be written in several ways and indicates the slope, x-intercept, & y-intercept of a line.

Now, as per the given question;

The attorney charges price for an initial meeting = $850.

And, the charges for each hour is = $250.

Thus, the equation which shows the given situation is-

y = 250x + 850.

In which, 250 is the value of the slope 'm'.

The y- intercept is shown by 850.

Thus, the total cost will be found out by equation  y = 250x+850.

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A statistical tool used to synthesize the results of previous, separate studies is called a(n):Odds-ratio.

We know that, the odds ratio is one that is often calculated with the use of the number of case-patients who were or were  not exposed to a factor (e.g. as a particular cream) and the number of controls that did or did not have the exposure.

Odds ratio is nothing but  is a measure of association between exposure and an outcome.

It calculates the relationship between a variables and the likelihood of an event occurring.

Note that there are different kinds of statistical tool  that are used for research purpose.

Therefore, A statistical tool used to synthesize the results of previous, separate studies is called a(n):Odds-ratio.

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Answer:

[tex]y _{ \rm parallel} = - 5x +27[/tex]

Step-by-step explanation:

The equation of line p is in point-slope form , that's

[tex]y-y_1=m(x-x_1)[/tex]

Where:

Since line I is parallel to the line p , line I has the same slope as p. From the given equation of p , we can consider the slope of line p -5. Hence the slope of line I is also -5.

Now To determine the equation of I.

We have

So, the equation of line l is

[tex] y - 47 = - 5(x - ( - 4)) \\ \implies y - 47 = - 5 x- 20 \\ \implies \boxed{y _{ \rm parallel} = - 5x + 27}[/tex]

And we're done!

Answer:

xy + z = 16

5(2) = 10 + 6 = 16

Answer:

AC = 18

Step-by-step explanation:

AC = AB + BC = 7 + 11 = 18