Ryan buys some jumpers to sell on a stall.
He spends £130 buying 40 jumpers.
He sells 80% of the jumpers for £12 each.
He then puts the rest of the jumpers on a Buy one get one half price offer.
He manages to sell half the remaining jumpers using this offer.
How much profit does Ryan make?

The average value of f(x, y) over the given region (I'll call it T) is

[tex]\dfrac{\displaystyle \iint_T f(x,y) \, dA}{\displaystyle \iint_T dA}[/tex]

In other words, it's the ratio of the integral of f(x, y) over the region to the area of the region.

The set T can be expressed as

[tex]T = \left\{(x,y) \,:\, 0\le x\le9 \text{ and } 0\le y\le -\dfrac29x+x\right\}[/tex]

Since it's a triangle, the denominator is easily computed to be

[tex]\displaystyle \iint_T dA = \frac12 \times 9 \times 2 = 9[/tex]

In the numerator, we have

[tex]\displaystyle \iint_T (10x+3y) \, dA = \int_0^9 \int_0^{-2x/9+2} (10x+3y) \, dy \, dx \\\\ = \int_0^9 \left(\frac32\left(-\frac{2x}9+2\right)^2+10x\left(-\frac{2x}9+2\right)\right) \, dx = 288[/tex]

and hence the average value is 288/9 = 32.

Answer:

288 ft³

Step-by-step explanation:

The formula to find the volume of a rectangular prism is :

Volume = length × width × height

Let us find it now.

Volume = 4 ft × 12 ft × 6 ft

Volume = 48 ft² × 6 ft

Volume = 288 ft³

Answer:

11

Step-by-step explanation:

To find the mean:

Add up all data values to get the sum then count the number of values in your data set. Lastly, divide the sum by the count.

Solution:

Thus,

2+ 5+7+7+8+9+11+ 14+22+25=110

110/10 = 11

Therefore, the mean is 11.

~lenvy~

Answer:

Step-by-step explanation:

just put them in order from least to greatest then find the middle number

Answer:

a. maximum value

b. x = 5

c. domain = all reals , range = y is less than or equal to 72

Step-by-step explanation:

a. maximum because it is a negative function and thats the highest value

b. thats the x value of the vertex which is the highest point

Answer:

2816

Step-by-step explanation:

Cm to m is divide by 100

10 / 100 = 0.1.

0.1 x 8 = 0.8

40 x 88 = 3520

3520 / 0.8 = 2816

Answer:

see below for explanation:-

Step-by-step explanation:

#1

[tex] \displaystyle{ \frac{1}{ \sqrt{7} } }[/tex]

[tex]\displaystyle{ \frac{1}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{7} }{7} }[/tex]

#2

[tex]\displaystyle{ \frac{2}{ \sqrt{3} - \sqrt{2} } }[/tex]

[tex]\displaystyle{ \frac{2}{ \sqrt{3} - \sqrt{2} } \times \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3} + \sqrt{2} } }[/tex]

[tex]\displaystyle{ \frac{2( \sqrt{3} + \sqrt{2} }{( \sqrt{3} {)}^{2} - ( \sqrt{ 2 } {)}^{2} } }[/tex]

[tex]\displaystyle{ \frac{2( \sqrt{3} + \sqrt{2} ) }{3 - 2} }[/tex]

[tex]\displaystyle{2( \sqrt{3} + \sqrt{2} )}[/tex]

#3

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{9 + 2 \sqrt{18} } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{ 9 + 2 \sqrt{9 \times 2} } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{9 + 6 \sqrt{2} } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{3(3 + 2 \sqrt{2}) } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{3(3 + 2 \sqrt{2}) } \times \frac{3 - 2 \sqrt{2} }{3 - 2 \sqrt{2} } }[/tex]

[tex]\displaystyle{ \frac{3 \sqrt{6} - 2 \sqrt{12} + 3 \sqrt{3} - 2 \sqrt{6} }{3( {3}^{2} - (2 \sqrt{2} {)}^{2} ) } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} - 4 \sqrt{3} + 3 \sqrt{3} }{3(9 - 8)} }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} - \sqrt{3} }{3} }[/tex]

The polynomials in factored form are listed below:

In this question we must factor polynomials as there are both numerical and analytical methods. Mathematically speaking, factoring polynomials is represented by the following formula:

[tex]\sum^{n}_{i = 0} \,c_{i}\cdot x^{i} = \prod^{n}_{i=1}(x-r_{i})[/tex], [tex]\forall\,x, r_{i}\in \mathbb{C}[/tex]   (1)

Where:

Regarding fourth order polynomials we can solve them by Ferrari's method and third order polynomials by Descartes' method. Then, the solutions of each polynomials are given below:

f(x) = (x - 4) · (x - 3) · (x - 1) · x

f(x) = (x - 2.236) · (x - 2) · (x + 2.236) · (x + 4)

f(x) = (x + 3) · (x - 5) · (x - 1)

f(x) = (x - 4) · (x - 3) · (x - 1) · x

To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/17822016

Using proportions, it is found that she spent 25.76 hours at Yoga.

A proportion is a fraction of a total amount.

Researching the problem on the internet, it is found that the circle graph shows that she spent 28% of her time of 92 hours on yoga, hence:

h = 0.28 x 92 = 25.76.

Hence, she spent 25.76 hours at Yoga.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

  (A) 308 clocks

  (B) 423 clocks

Step-by-step explanation:

The contribution margin is the amount by which the selling price of the clock exceeds the cost of the clock. The contribution margin is used to figure the break-even point, and the amount of profit from sales.

  contribution margin = selling price - variable cost - purchase price

  contribution margin = $84 -5 -53 = $26

__

To break even, the contribution margin from 'b' clocks must equal or exceed the owner's fixed cost:

  26b ≥ 8000

  b ≥ 8000/26

  b ≥ 307.7

The owner must sell 308 clocks each month to break even.

__

To make a profit of $3000, the owner must sell enough clocks to cover the $8000 fixed cost and contribute an additional $3000. That is, the total contribution margin from selling p clocks must be about $3000+8000 = $11000.

  26p ≈ 11000

  p ≈ 11000/26 ≈ 423.08

The owner must sell about 423 clocks each month to earn a profit of about $3000.

__

Additional comment

Selling 423 clocks will yield a profit of $2998.

Associative property:-

Lets check one by one

#1

Here the rule is

Hence Yes associative property

#2

Here the rule is

Hence no it's distributive property

#3

Yes

#4

No

Associative property meaning rearranging the parentheses in an expression which will not change the result.

✔A)

[tex]\rightarrow \sf (1\dfrac{2}{5} \ x \ 3\dfrac{1}{2} ) \ x \ 4 = 1\dfrac{2}{5} (3\dfrac{1}{2} \ x \ 4 )[/tex]

[tex]\rightarrow \sf \dfrac{98}{5} = \dfrac{98}{5}[/tex]

This uses associate property as it is rearranged in a different way and result same.

B)

[tex]\rightarrow \sf 2.5 \ x \ (1.8 +6.3) = (2.5 \ x \ 1.8)+(2.5 \ x \ 6.3 )[/tex]

This property is called distributive property. a(b + c) = a(b) + a(c)

✔C)

[tex]\sf \rightarrow 10(4.6 \ x \ 3) = (10 \ x \ 4.6) \ x \ 3[/tex]

[tex]\sf \rightarrow 138 = 138[/tex]

associate property as the following is rearranged inside the parentheses

D)

[tex]\rightarrow \sf 6.3 \ x \ 1 = 6.3[/tex]

This does not fall under any method or else multiplicative identity property.

Answer:

The surface area of what

pls try to send the image.

Answer:

6

Step-by-step explanation:

A=(bh)/2

a=(4*3)/2

a=12/2

a=6

Answer: 12 units 2

Step-by-step explanation:base times hight

Answer:

m∠2 = 95°

m∠3 = 85°

m∠4 = 95°

Step-by-step explanation:

Vertical Angle Theorem:

When two straight lines intersect, the opposite vertical angles formed are always equal (congruent) to each other.

Therefore,

m∠3 = 85°

m∠2 = m∠4

Linear pair:

Two adjacent angles which, when combined, form a line, so the sum of a linear pair is 180°.

Therefore,

85° + m∠2 = 180°

m∠3 + m∠4 = 180°

If  85° + m∠2 = 180°

⇒ m∠2 = 180° - 85°

⇒ m∠2 = 95°

As  m∠2 = m∠4  then  m∠4 = 95°

Answer:

9

Step-by-step explanation:

Add all numbers together: 36

divide by the amount of numbers in the list: 9

                                      :)

Answer:

35.5 is the average of 34 and 37

Step-by-step explanation:

Answer:

-35.5

Step-by-step explanation:

-34 + -37 = -71

-71/2 = -35.5

I hope this helps!

square two sides

x+8=(x+8)2

x+8=x2+16x+64

x2+16x+64-x-8=0

x2+15x+56

then rule a2+-l

[tex](8-15i) +(11+24i) = 19+9i\\\\(8-15i)-(11+24i)=-3-39i=-3(1+13i)[/tex]

The table represents linear because the x represent the exponential functions

Answer:

[tex]w < 4 \frac{2}{3}[/tex]

Step-by-step explanation:

The inequality symbol for 'less than' is '<'.

Let's relate the cost and the number of each item bought together with an equation.

Total cost

= (number of rolls)(cost of each roll) +(number of bags)(cost per bag of bows)

= w(1.50) +2(1.50)

= 1.5w +3

Now, we can form the inequality.

Since the total cost is less than $10,

1.5w +3< 10

Subtract 3 from both sides:

1.5w < 10 -3

1.5w < 7

Divide both sides by 1.5:

[tex]w < 7 \div \frac{3}{2} [/tex]

[tex]w < 7 \times \frac{2}{3} [/tex]

[tex]w < \frac{14}{3} [/tex]

[tex]\textcolor{red}{w < 4 \frac{2}{3} }[/tex]

Answer:

y=2

Step-by-step explanation:

add 5 to 0 then divide 5 with 2

Answer: ok? whats the question

Step-by-step explanation:

Answer:

I think u forgot to mention the question?

Step-by-step explanation:

[tex]y = - x {}^{2} + 6x - 15[/tex]

[tex]y {}^{ \gamma } = - 2x + 6[/tex]

[tex]y {}^{ \gamma } = 0[/tex]

[tex] - 2x + 6 = 0[/tex]

[tex] - 2x = - 6[/tex]

[tex]2x = 6[/tex]

[tex]x = 3[/tex]

[tex]y = - (3) {}^{2} + 6(3) - 15[/tex]

[tex]y = - 9 + 18 - 15[/tex]

[tex]y = - 9 + 3[/tex]

[tex]y = - 6[/tex]

[tex]==============================[/tex]

In order to find the vertex of a parabola, we use the following formula:

[tex]\mathfrak{\displaystyle\frac{-b}{2a} }[/tex]

Please remember that a parabola looks like this:

[tex]\tt{y=ax^2+bx+c}[/tex]

Now you know what a and b stand for.

In this case, a = -1, and b is 6:

[tex]\mathfrak{\displaystyle\frac{-6}{2(-1)} }[/tex]

Simplify:

[tex]\mathfrak{\displaystyle\frac{-6}{-2}}[/tex]

[tex]\mathfrak{3}\\=======================================[/tex]

[tex]\mathcal{DiAmOnD}\\\tt{A~Creative~Helper}}}}[/tex]

Answer:

negative

Step-by-step explanation:

The good part about this question is you don't have to know the actual values of b or c, otherwise, I would be stumped too.

Given:

b is within 0 -> 1 b is positive

c is within -1 -> -2, c is negative

[tex]\frac{b}{c}[/tex] = b/c. When you have a fraction and one numerator is positive while the denominator is negative (or visa-versa, numerator is negative and denominator is positive), then the answer will ALWAYS be negative

so +b/-c = negative result

Answer:

As Per Provided Information

An ellipse has a vertex at (0, −7), a co-vertex at (4, 0), and a center at the origin (0,0) .

We have been asked to find the equation of the ellipse in standard form .

As we know the standard equation of an ellipse with centre at the origin (0,0). Since its vertex is on y-axis

[tex] \underline\purple{\boxed{\bf \: \dfrac{ {y}^{2} }{ {a}^{2} } \: + \: \dfrac{ {x}^{2} }{ {b}^{2} } = \: 1}}[/tex]

where,

Substituting these values in the above equation and let's solve it

[tex] \qquad\sf \longrightarrow \: \dfrac{ {y}^{2} }{ {( - 7)}^{2} } \: + \dfrac{ {x}^{2} }{ {(4)}^{2} } = 1 \\ \\ \\ \qquad\sf \longrightarrow \: \dfrac{ {y}^{2} }{49} \: + \frac{ {x}^{2} }{16} = 1 \\ \\ \\ \qquad\sf \longrightarrow \: \: \dfrac{ {x}^{2} }{16} \: + \dfrac{ {y}^{2} }{49} = 1[/tex]

Therefore,

So, your answer is 2nd Picture.

[tex]\orange\bigstar \bold{ solution}[/tex]

[tex]\bold{f(x) = x³ - \frac{1}{x³ } }[/tex]

[tex]\bold{f ( \frac{1}{x} )= \frac{1}{x³} -x³ } [/tex]

[tex]\bold{f (x) + f (\frac{1}{x}) = (x³- \frac{1}{x³} ) + ( \frac{1}{x³} -x³)}[/tex]

[tex]\bold{ = 0 }[/tex]

(x+5)² + (y+2)² = 4

(x - x0)² + (y - y0)² = r²

with circle center point (x0 ; y0) and r for circle radius

so you have to place the point (- 5 ; - 2) and graph the circle with r = 2

Answer: 2495

Step-by-step explanation:

9x + 7(325)-7x = 2495

    2x = 220

     x = 110 adults  and 215  senior citizens

CHECKING our answer***

$990 + $1505 = $2495

Wish You the Best in your Studies.