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There is a constant of proportionality between the two purchases and each book costs $4.99.

A correspondence relation between two variables is of direct proportionality when the quotient between the corresponding quantities is always the same. This quotient is called the constant of proportionality.

In other words, when dividing any quantity of one of the magnitudes by the one that corresponds to it in the other, the value it gives is always the same. This value is known as the constant of proportionality.

In this case, the constant of proportionality [tex]k[/tex] will relate the number of books bought [tex]N[/tex] and their cost [tex]C[/tex] in the following way:

[tex]C=k*N[/tex]

So k is the price per book.

For the 12 books:

[tex]k=\frac{59.88}{12}[/tex]

[tex]k=4.99[/tex]

And for the 21 books:

[tex]k=\frac{104.79}{21}[/tex]

[tex]k=4.99[/tex]

The constant [tex]k[/tex] for the two purchases is the same, thus there is a constant of proportionality between the two purchases and each book costs $4.99.

Answer:

∠S = 19°

Step-by-step explanation:

Since all angles in a triangle add up to 180°, we must first find how much is left.

180 - 142 = 38

And since we know that the two lines are congruent, we know that the two other angles will be the same. So we divide the remaining by 2

38 ÷ 2 = 19

So both other angles are 19° meaning that ∠S is 19°

Hope this was helpful!

Answer: m∠S = 19°

Step-by-step explanation:

    We know the angles of a triangle add up to 180° (and if you don't, you do now)

-> We are given one angle, 142°

-> We are given the fact this is an isosceles triangle, or one with two congruent sides

    [] This means the other two angles are congruent

-> Taking this information, we will set up an equation to solve for x

180° = 142° + 2x°

38° = 2x

19° = x

x = 19°

x = m∠S, so m∠S = 19°

          m∠S = 19°

Answer:

it 5

Step-by-step explanation:

4000 Bahrain Dinar as Pounds.

let the unknown be "x"

we'll have to do cross multiplication.

[tex] \frac{1}{4000} \times \frac{2.13}{x} [/tex]

so now,

[tex]x = 4000 \times 2.13[/tex]

[tex]\large\boxed{\sf{£ 8520}}[/tex]

Therefore, 4000 Bahrain Dinar is £ 8520

Answer to your question is:

£ 8520

hope this helps!

Answer:

linear is correct

Step-by-step explanation:

If Lacey starts baking her cookies right away, then the time is taken for her to have made as many cookies as Clay will be 1.5 hours.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Clay and his friend Lacey are making cookies for the school dance.

Clay started early and has already made 3 dozen cookies.

He can make an additional 2 dozen cookies an hour.

Lacey has not started making cookies yet, but she has a bigger oven and can make 4 dozen cookies an hour.

Let y be the number of the cookies (in dozen) and x be the number of the hours.

Then the equations will be

y = 2x + 3 ...1

y = 4x       ...2

If Lacey starts baking her cookies right away, then the time taken for her to have made as many cookies as Clay will be

From equations 1 and 2, we have

2x + 3 = 4x

     2x = 3

       x = 1.5

Then the number of hours will be 1.5 hours.

More about the linear system link is given below.

https://brainly.com/question/20379472

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Answer:

1.cosx×cscx

=cosx×1/sinx

=cosx/sinx

=cotx

2.cotx×secx×sinx

=1/tanx×1/cosx×sinx

=1/tanx×sinx/cosx

=1/tanx×tanx

=1

hope it helps you

Step-by-step explanation:

when we divide something equally among n people, it means we divide it equally into n parts, and every part is 1/n or 1 nth.

so, for six people or parts, everybody got 1/6 or 1 sixth of the cake.

Answer:

80

Step-by-step explanation:

8 different colors multiplied by 10 different patterns

Answer:

50 = 3.85 + 10.5m

Step-by-step explanation:

50 = Total

m= months

A one time payment can be deducted immediately, then the remaining amount should be divided by the price per month.

Answer:

false

Step-by-step explanation:

Step-by-step explanation:

( First of all to convert quinary to decimal we need to multiply them by 5 )

So let's solve now.....

= 221

Solution,

Converting quinary number to decimal .....

= 2 × 5² + 2 × 5¹ + 1 × 5⁰

The value of any number to the power 0 is 1 ...

= 2 × 25 + 2 × 5 + 1 × 1

= 50 + 10 + 1

= 61..

Hence the answer is 61....

She should fart 10 times

I tried my best!!!! Hope this helps :D

Answer:

1/2

Step-by-step explanation:

3/8 + 2/8 is 5/8, 1/2 is equal to 4/8, so 5/8 is only 1/8 away from 1/2 while 5/8 is also 3/8 away from 1 or 8/8 therefore, it is closer to 1/2

Answer:

hi,as u promise,lets go!!

a)1min=30w

x=400w

b)1min=30w

x=400w

1min×400w=x×30w

400w min=x×30w

30w 30w

x= 13mins and 3 sec.

c)1min=30w

10 min=x.

d)1min=30w

10min=x

1min×x=10min×30w

1min ×x = 300wm

1min 1min

x=300words.

Answer:

a.) 1:30 :: x:400

b.) About 13 minutes and 35 seconds

c.) 1:30 :: 10:x

d.) 300 words

Step-by-step explanation:

a.) 1 = minute 30 = words typed in that minute 400=words typed x=minutes

b.) 400 / 30 = 13.3

c.) 1 = minute 30 = words typed in that minute x=words typed 10=minutes

d.) 10 x 30 = 300

The volume of the solid that results, when the region enclosed by the curves, is revolved about the x-axis is 3.35 cubic units.

When a figure is revolved around some fixed axis, the whole three-dimensional solid formed from the area that it swaps out is called a solid of revolution.

The function is given below.

y = - x² + 1

y = 0

Then the volume of the solid will be

[tex]\rm Volume = 2\int \pi y^2 dx\\\\\\Volume = 2 \int _0^1 \pi (-x^2 + 1)^2 dx\\\\\\Volume = 2 \pi \int _0^1 (x^4 - 2x^2 + 1)dx\\\\\\Volume = 2 \pi \left [ \dfrac{x^5}{5} - \dfrac{2x^3}{3} + x \right]^1_0\\\\\\[/tex]

On solving further, we have

Volume = 2π [(1/5 - 2/3 + 1) - 0]

Volume = 2π [8/15]

Volume = 3.35

Then the volume of the solid will be 3.35 cubic units.

Learn more about solid of revolution here:

https://brainly.com/question/338504

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Answer:$89.00

Step-by-step explanation:22 times 2 is 44.

15 times 3 is 45.

44 plus 45 is 89

Answer:

$89.00

Step-by-step explanation:

2 adults = $22 x 2 = $44

3 children = $15 x 3 = $45

$44 + $45 = $89.00

Hope this helps!

Answer:

[( 4² + 5 + 3 × 4 )] × 3

= ( 4 × 4 ) + 5 + 3 × 4 × 3

= 16 + 5 + ( 3 × 4 × 3 )

= 16 + 5 + ( 12 × 3 )

= 16 + 5 + 36

= 21 + 36

= 57

Answer:

99

Step-by-step explanation:

pemdas states:

PARENTHESIS

EXPONENTS

MULTIPLICATION/DIVISION (left to right)

ADDITION/SUBTRACTION (left to right)

the first equation you would do is 3*4 as it is in the most inner parenthesis and is a multiplication equation

3*4 = 12

then add 12 to 5

12 * 5 = 17

(4^2 + 17) * 3 is what you have left

the next thing you do is the exponent

4^2 is 4*4 or 16

then add 16 to 17

16 + 17 = 33

then at the end

you multiply it by 3

33 * 3 = 99

your answer is 99

Answer:

Step-by-step explanation:

The task is to draw the parabola of the equation [tex]x^{2} -4x+4[/tex] on the given graph.

The first step we can take to doing this is to use the table on the left hand side to work out our x and corresponding y-values to use as plotting coordinates. To do this you want to substitute the given value for x which will give you a corresponding y-value.

E.g:

x | [tex]x^{2} -4x+4[/tex]      | y

0 | [tex](0)^{2} -4(0)-4[/tex] | -4

Here we have gotten the coordinates (0, -4) so this will be a point on the graph.

Repeat with all other values on the table and you should get a bunch of dots which lead upwards in a curved line from a point. Extend the lines to form a parabola shape (A u-shape).

Once you have drawn the graph, label the parts.

Roots: The places where the line crosses the x-axis

Vertex: The lowest point of the parabola

Line of symmetry: The vertical line in which the parabola reflects/ is the same either side (Has equation x=_).

y-intercept: The point where the line crosses the y-axis.

Hope this helped!

Answer- 200m

: Right now Sam is 200m far from her starting point

Answer:

128

Step-by-step explanation:

As they have added the same shape onto the top of the rectangle as they have taken away from the bottom, just do 16x8.

Answer:

c

Step-by-step explanation:

2.34 to 3.34 is 1hr

3.34 plus half an hour is 4.04 plus 13 mins

Answer:

9.2

Step-by-step explanation:

Find the coordinates and plug em into the equation. (-5,5) (1,-2)

Square root 85 is 9.2.

Answer:

9.2 (if rounded to the nearest tenth)

========================================================

Explanation:

Check out the diagram below.

Use the Pythagorean Theorem to find the length of c.

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{(6.3)^2 + (6.3)^2}\\\\c = \sqrt{39.69+39.69}\\\\c = \sqrt{79.38}\\\\c \approx 8.9095\\\\c \approx 8.9\\\\[/tex]

The distance from one corner to the opposite corner is about 8.9 inches.

Answer:

This is prime.

No factors.

Step-by-step explanation:

Step-by-step explanation:

C. Midpoint

The average is the distance of the line divided by 2

Answer:

-2x-2

For a line equation for the form of y = mx +b, the slope is m

m= -2

The function has no undefined points nor domain

constraints. There fore, the domain is

domain: -∞<x<∞

The range of polynomial with odd degrees is all the real numbers

range: -∞<f(x)<∞

Step-by-step explanation:

graph is inserted

Answer:

(4+5) ÷ 3 + 6 x 5

Step-by-step explanation:

pemdas