what is 25 divided by 4(bonus question)

The number of hardback books that are on the bookshelf is 29 books.

Given the following data:

To determine the number of hardback books that are on the bookshelf:

Translating the word problem into an algebraic expression, we have;

The total number of books is:

[tex]T = H+P[/tex]

The number of hardback books is 15 more than twice the number of paperback books:

[tex]H =2P+15[/tex]

Substituting the given parameters into the formula, we have;

[tex]36 = 2P+15+P\\\\36=3P+15\\\\3P=36-15\\\\3P=21\\\\P=\frac{21}{3}[/tex]

P = 7 books

For number of hardback books:

[tex]H =2P+15\\\\H=2(7)+15\\\\H=14+15[/tex]

H = 29 books

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Answer:

C) y=3/2x+3

Step-by-step explanation:

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

m=(6-3)/(2-0)

m=3/2

y-y1=m(x-x1)

y-3=3/2(x-0)

y=3/2(x)+3

y=3/2x+3

Answer:

C) y=3/2x+3

Step-by-step explanation:

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

m=(6-3)/(2-0)

m=3/2

y-y1=m(x-x1)

y-3=3/2(x-0)

y=3/2(x)+3

y=3/2x+3

Answer:

58 out of 100 is

58/100

as a decmil that is

0.58

Hope That Helps!!!

Answer:

Area = 867 meters

Step-by-step explanation:

You have a rectangle. This means opposite sides are equal. If you set these expressions equal to each other, you will get two equations with two unknowns, x and y. Next, solve the system of equations to find x and y. Then, use the values to find the length and width of the rectangle. Last, multiply length × width to find the area.

Answer:

i think original price Php656.25

Step-by-step explanation:

original price Php x

80%x = 575

x = 575×100/80

x = 656.25

original price Php656.25

Answer:

Bro

Step-by-step explanation:

sorry

Step-by-step explanation:

they way it is written, she has one of the best paying jobs in the world : $1470 per hour ...

but I guess it is really $14.70 per hour, right ?

that is then her basic wage : $14.70 per hour for 40 hours = 14.7 × 40 = $588.

her overtime rate is then 14.7×1.25 (one time and a quarter) = 18.375 ≈ $18.38

and she gets that rate for all hours beyond the basic 40 hours, so, 52-40 = 12 hours.

12×18.38 = $220.56

or if you need it totally precise

12×18.375 = $220.50

in total, her gross wage for that week is then

588 + 220.56 = $808.56

or totally precise with unrounded hourly rates

588 + 220.5 = $808.50

which would create a mean hourly rate

808.56/52 = $15.54923077... per hour ≈ $15.55 per hour

or

808.5/52 = $15.54807692... per hour ≈ $15.55 per hour

many payroll systems do the rounding of the hourly rates and then calculate the total amount (as the first option here). some others keep the full decimal positions in the calculation and then only round the total (as the second option here).

so, it is the question what your teacher expects here. I cannot tell from the description.

The constant of variation of the data point is 8.

An equation is an expression that shows the relationship between two or more variables and numbers.

If two variables are proportional, they can be represented by:

y ∝ x

y = kx

k  is the constant of variation.

For the point (9, 72):

72 = 9k

k = 8

For the point (4, 32):

32 = 4k

k = 8

For the point (7, 56):

56 = 7k

k = 8

The constant of variation of the data point is 8.

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Answer:(-4,3)

Step-by-step explanation:

Here, Every equation has same slope (-4) and same y-intercept (3), so we don't need to calculate those.

Now, as coordinates are in left-portion, and also touches the line, it would be: y ≥ -4x + 3

Answer:

x = 12

Step-by-step explanation:

y= -4x+48

0=-4x+48

4x=48

x=12

Answer:

x = 2

y = 3

Explanation:

Answer:

5:6

Step-by-step explanation:

20 divided by 4 = 5

24 divided by 4 = 6

So the ratio is 5:6

Answer:

Function 1

Step-by-step explanation:

I got it correct on khan academy

The function defined on the graph by the equation y = (-1/4)r -5 and line p has slope which is represented by option C. The functions have same slope.

Let the two coordinate on the line p of the function 2 on the graph.

( x₁ , y₁ ) = (-4, -6)

(x₂ , y₂ ) = ( 4 ,-8 )

Slope of the line = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substitute the value in the formula we get,

Slope of line p = ( -8 + 6 ) / ( 4 + 4 )

                         = -2/8

                        = -1/4

Slope of the function 1

y = -(1/4)r -5

When r = 8 ⇒ y = -7

r = -8 ⇒ y = -3

( x₁ , y₁ ) = (8, -7)

(x₂ , y₂ ) = ( -8 ,-3 )

Slope of the function 1  = ( -3 + 7 ) / ( -8  - 8 )

                         = 4/ -16

                        = -1/4

Therefore, slope of the both the function 1 and function 2 represented by line p are given by option C. the functions have same slope.

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Answer:

Well a triangle itself is worth 180 degrees (Inteirior angles)

your given “a” “b” and you need to find c.

So you can subtract

A is 50

B is 55

So

<BCA= 180- 55-50

Is the answer (b)

Answer:

B

Step-by-step explanation:

A triangle's angles all add up to 180 degrees. If m∠A is 50 and m∠B is 55 then m∠C is 75.

m∠C = 180 - (m∠A - m∠B); which is 180 - 105

180 - 105 is 75; Therefore, m∠C is 75 degrees

Proof: 50 + 55 + 75 = 180

Answer:

no

Step-by-step explanation:

No since the divisor and dividend don't change by the same factor of 10.

Answer:

-13/-17

Step-by-step explanation:

y1-y2/x1-x2=-13/-17

Answer:

16^2

Step-by-step explanation:

All you have to do is do 64 *.25 and you get 16

The area of the smaller pentagon is 4 in². thus option B is correct.

The ratio of the side lengths are given:

Small : Large = 3.5 : 14

The area of the larger pentagon is given;

Area = 64 in²

By Using the given parameters, the area of the small pentagon:

Area = (Small/Large)² * Area of Large

Area = (3.5/14)² * 64

Area = 4

Hence, the area of the smaller pentagon is 4 in². thus option B is correct.

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Answer:

-3/2

Step-by-step explanation:

1) find the slope of (-9,-4), and (3,4)

4-(-4)=8, and 3-(-9)=12

the slope is 8/12 or 2/3 when simplified.

the PERPENDICULAR slope is the negative reciprocal of the slope, so

-3/2 is the answer.

[tex]\red{\bf{ {Answer = \: \: - 48}}} [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-22 \times 3} + \underbrace {12 \times 2} - \underbrace {6\times 2} + 4 + 2[/tex]

We carry out the three multiplications.

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-66 \: + \: 24} \: - \: 12 \: + \: \underbrace {4 \: + \: 2}[/tex]

Now we make the ones that are marked.

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-42} \: \: - 12 \: \: + \underbrace {6} \: \: [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-36 \: \: \: - \: \: \: 12}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf -48[/tex]

Answer: just add 75 and 45 + x and do division for 69 ok  but times the 45 with 69 ok good luck

Step-by-step explanation:

Answer:

A, to B, to D,

or A, to E, to C, to D

Step-by-step explanation:

Answer:

y=-4

Step-by-step explanation:

2y-18=-26

    2y=-26+18

        =-8

      y=-8÷2

        =-4

Answer:

(-2,-1)

Step-by-step explanation:

f(x)=3 - 2x

y = 3 - 2x

if x = - 2

y =3 - 2(-2)

= -1

Required ordered pair is (-2,-1)

Answer:Answer:

(-2,-1) (2,-1) (-1,5)

Step-by-step explanation:

f(x)=3 - 2x

y = 3 - 2x

if x = - 2

y =3 - 2(-2)

= -1

Required ordered pair is (-2,-1)

Step-by-step explanation:

Answer:

h = - 103/8

Step-by-step explanation:

1) Re-order terms so constants are on the left

8h = = -2(8)²+4(8)-7

2) Evaluate the exponent

8h = -2·64+4(8)-7

3) Multiply the numbers

8h = -128+4(8)-7

4) Multiply the numbers

8h = -128+32-7

5) Add the numbers

8h = -103

6) Divide both sides of the equation by the same term

8h/8 = -103/8

7) Simplify

- Cancel terms that are in both the numerator and denominator

h = -103/8

Answer:

If x = -3,

then y might equal -6

If y = -20,

then x might equal -13

Step-by-step explanation:

I have used a graph to estimate these answers. See image. If you are learning how to find the line of best fit for a data set, you might be expected to do those calculations, depending on the level of your math class. Many upper level math classes would use technology to find a line of best fit.

See image to see the data set given on an xy-axis in red. The circled areas are where the estimated numbers would lie, where

x = -3 (in blue) and where

y = -20 (in green)

The directions say estimate, so a graph is a good justification for several answers in the general area.

Answer:

1: 3)

2: 2)

4: 3)

5: 4)

6: 4)

Answer:

The lines will cross at (-5,1)

Step-by-step explanation:

I graphed it

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