Seeta is organising a concert to raise money for a school and for a hospital.
A total of 1/20 of the money received from selling tickets will be spent on hiring a hall.
The rest of the money received from selling tickets will be given to the school and to the
hospital in the ratio 2 : 3.

Seeta expects to sell 1000 tickets at £23.50 each.

Work out the amount of money that Seeta expects to give to the school and to the
hospital.
You must show all your working.

Answer:

That its a problem there u go

Step-by-step explanation:

Answer:

Step-by-step explanation:

first of all you need to do is make a lemonade stand and make the lemonade taiste good then you can sell it for 15 dollars which is a good price to get you started with your life

The vertical distance from the ground to your eye is 10.9 feet and the height of the tree is 20.5 feet.

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It is given by:

Hypotenuse² = Adjacent² + Opposite²

From the diagram, let d represent the horizontal distance, hence:

d² = 9.2² + 4.8²

d = 10.9 feet

Let h represent the height of the tree, hence:

h / 10.9 = 10.9 / 5.8

h = 20.5 feet

The vertical distance from the ground to your eye is 10.9 feet and the height of the tree is 20.5 feet.

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Answer:

[tex]\frac{20r^5}{c}[/tex]

Step-by-step explanation:

[tex]4c^{4}[/tex]·[tex]5c^{-5} r^{5}[/tex]

=[tex]4c^{4}[/tex]·[tex]\frac{5 r^{5}}{c^{5} }[/tex]

=[tex]\frac{20c^{4}r^{5} }{c^5}[/tex]

=[tex]\frac{c^4}{c^4} \frac{20r^5}{c}[/tex]

=[tex]\frac{20r^5}{c}[/tex] or =[tex]20c^{-1}r^5[/tex]

Answer:

D : -14

Step-by-step explanation:

(5+4-2)(-2) = x

7(-2) = x

-14 = x

x = -14

Answer:

40 minutes later

Step-by-step explanation:

6:15 + 40 minutes = 6:55

Answer:

Step-by-step explanation:

Distance = d

d² = [1 - (-3)]² + [y - (-6)]²

5² = 16 + (y + 6)²

25 = 16 + (y + 6)²

(y + 6)² = 25 - 16 = 9

y + 6 = ±3

y = -6 ±3

so

y = -3 or -9

[tex]\fbox{Answer ~}[/tex]

Here ,

[tex]\bold\purple{3x + 12 + 7 = - 5x - 5} \\\\\bold{3x + 19 = - 5x - 5}[/tex]

gather and solve the like terms together ,

[tex]\bold{3x + 5x = - 5 - 19} \\\\ \bold{8x = - 24} \\\\\bold{ x = \cancel{ \frac{ - 24}{8} }} \\ \\\bold\red{ x = - 3}[/tex]

hope helpful~

!Answer:

Mrs. Thomas put 1/4 icing on the remaining cupcakes

Step-by-step explanation

Answer:

4x+13

Step-by-step explanation:

Answer:

7x+15

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

[tex] ln(x) = ln(16) + ln(4) [/tex]

Use the Produxt Rule

[tex] ln(a) + ln(b) = ln(a + b) [/tex]

Remeber that Ln is a log function with base e,

so know we have

[tex]3 ln(x) = ln(64) [/tex]

[tex] ln(a) = ln(b) [/tex]

Only if a=b So we have

x^3=64

x=4

[tex]x = 64[/tex]

Step-by-step explanation:

See the picture for steps

A 5th point that would maintain the function is (11, 31)

Given the following pairs of coordinates

Four of the points are given as (1,3) (2,5), (6, 13), (9,27)

Using the coordinates  (1,3) (2,5), to determine the slope

[tex]Slope=\frac{5-3}{2-1} = \frac{13-5}{6-2}=2\\[/tex]

Let the required coordinate be (x, y) to have:
[tex]2 = \frac{y - 27}{x - 9} \\[/tex]

Since the x coordinate of (9, 27) is greater than 8, hence the best x-coordinate will be 11. Substitute to get the y-coordinate

[tex]2 = \frac{y - 27}{11- 9}\\2(2) = y - 27 \\4 = y - 27\\y=27 + 4\\y=31[/tex]

Hence a 5th point that would maintain the function is (11, 31)

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Answer:

131

Step-by-step explanation:

When we attempt to find the square root of 5607, we get a remainder of 131. (5607=74^2 + 131) That means 5607-131 is a perfect square. (Which is 5476=74^2)    

Answer:

63.7°

Step-by-step explanation:

supplementary_interier angle 180_116.3=63.7

Answer:

1. (4,5)  2. D  3. J  4.D  5. 64.8 oz

Step-by-step explanation:

math

Answer: 592330

Step-by-step explanation:

Answer:

The number of students that prefer to do homework from the group of all students

Step-by-step explanation:

The question says that the ratio between the student who prefer doing homework before school and the students who prefer doing homework after school is 7:15.

That means 7 students prefer doing homework before school and 15 students prefer doing after school.

In this scenario, the total number of students is 7 + 15 i.e. 22

So the percentage 7/22 is the number of students that prefer to do homework before school from the group of all students

For the triangle, the following statements are correct: The third angle measures 50° and all sides have different lengths.

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angled triangle.

Let x represent the third angle. The other angles measures of 100° and 30°. Hence:

x + 100 + 30 = 180° (sum of angles in a triangle)

x = 50°

Since the angles are different, hence all the sides have different lengths.

The third angle measures 50° and all sides have different lengths.

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Answer:

Line D

Step-by-step explanation:

Two points that passes through line D :  (0,-2) & ( -4 , 0)

[tex]Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{0-[-2]}{-4-0}\\\\\\=\dfrac{0+2}{-4}\\\\\\=\dfrac{2}{-4}\\\\\\=\dfrac{-1}{2}[/tex]

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

[tex]u\cdot v=\langle4,-7\rangle\cdot\langle-6,9\rangle=(4*-6)+(-7*9)=-24-63=-87[/tex], so A is correct. Remember to multiply the horizontal components with each other and then add that to the product of the vertical components to get the dot product.

Problem 2

Two vectors are orthogonal if their dot product is 0, which also means that they must be perpendicular to each other, so we can check this:

[tex]u\cdot v=(6*-24)+(-9*36)=-144-324=-468[/tex]

Since the dot product of the two vectors is 0, they aren't orthogonal. Therefore, they are parallel since [tex]v=4u[/tex], making A the best choice.

Problem 3

Recall that the angle between two vectors is [tex]\theta=cos^{-1}(\frac{u\cdot v}{||u||*||v||})[/tex] where [tex]u\cdot v[/tex] is the dot product of vectors [tex]u[/tex] and [tex]v[/tex] while [tex]||u||[/tex] and [tex]||v||[/tex] are the magnitudes of vectors [tex]u[/tex] and [tex]v[/tex] respectively. If we let [tex]F_1=u[/tex] and [tex]F_2=v[/tex], we can then continue on:

[tex]u\cdot v=(190*128)+(160*-121)=24320+(-19360)=4960[/tex]

[tex]||u||=\sqrt{190^2+160^2}=\sqrt{61700}=10\sqrt{617}[/tex]

[tex]||v||=\sqrt{128^2+(-121)^2}=\sqrt{31025}=5\sqrt{1241}[/tex]

[tex]\theta=cos^{-1}(\frac{u\cdot v}{||u||*||v||})\\\\\theta=cos^{-1}(\frac{4960}{10\sqrt{617}*5\sqrt{1241}})\\\\\theta\approx83.49^\circ\approx83^\circ[/tex]

Therefore, B is the correct answer

Problem 4

We observe that [tex]u=\langle-8,-9\rangle[/tex] and [tex]v=\langle3,7\rangle[/tex], so [tex]-3(u\cdot v)=-3[(-8*3)+(-9*7)]=-3[-24+(-63)]=-3(-87)=261[/tex]. This means that B is the correct answer.

Problem 5

Recall that the projection of a vector [tex]u[/tex] onto [tex]v[/tex] is [tex]proj_vu=(\frac{u\cdot v}{||v||^2})v[/tex], thus:

[tex]proj_vu=(\frac{u\cdot v}{||v||^2})v\\\\proj_vu=(\frac{(-10*4)+(-3*8)}{\sqrt{4^2+8^2}^2})\langle4,8\rangle\\\\proj_vu=(\frac{-40+(-24)}{\sqrt{80}^2})\langle4,8\rangle\\\\proj_vu=(\frac{-64}{80})\langle4,8\rangle\\\\proj_vu=(-\frac{4}{5})\langle4,8\rangle\\\\proj_vu=\langle-\frac{16}{5},-\frac{32}{5}\rangle[/tex]

Therefore, D is the correct answer

Answer:

The length of the field = 24.5 yards

The width of the field = 12 yards.

Step-by-step explanation:

If "w" is the width, then the length is 49 - 2w.

The area of the rectangle field = length × width

= w(49 - 2w)

Area =

This a quadratic equation, the vertex of x coordinate is w

w =

Here a = -2 and b = 49

w = .

So width of the field is 12.25 yards.

The length of the filed = 49 - 2(12.25) = 24.5

Area = 12.25 × 24.5 = 300.125 square yards.

The field has an area of 294.

Therefore, the length must be 24.5 yards and width must be 12 yards.

24.5 × 12 =294 square yards.

Therefore, the length of the field = 24.5 yards

the width of the field = 12 yards.

Answer: 25.5 feet

Step-by-step explanation:

if each hat requires 30 inches of material, then 3 hats will require 3(30) = 90 inches.

if each scarf requires 2 yds of material, then 3 scarfs will need 3(2) = 6 yds.

The question wants us to give our answer in feet, so we will be converting:

Using 12in = 1ft:

90 in = 90/12 feet = 7.5 feet

Using 1 yd = 3 ft:

6 yds = 6(3) = 18 feet.

Now that the units are the same, we can add them up to get our answer:

7.5 + 18 = 25.5 feet

So Terry will need 25.5 feet of material to make 3 sets of hat and scarves.

Answer:

The rule says that to find the number of years required to double your money at a given interest rate, you just divide the interest rate into 72. For example, if you want to know how long it will take to double your money at eight percent interest, divide 8 into 72 and get 9 years

Answer:

I am not sure but the answer may be 36 w

Answer:

A.1600

Step-by-step explanation:

I hope its help keep safe

Consider the given quadratic equation that we have :

[tex]{:\implies \quad \sf -5x^{2}+5=-2x}[/tex]

Multiplying both sides by -1 will yield ;

[tex]{:\implies \quad \sf 5x^{2}-5=2x}[/tex]

Write the above quadratic equation in the form of standard quadratic equation ax² + bx + c = 0 ,

[tex]{:\implies \quad \sf 5x^{2}-2x-5=0}[/tex]

Now , comparing this with the standard form of quadratic equation we will get a = 5 , b = -2 , c = -5 . So now , Discriminant (D) = (-2)² - 4 × 5 × -5 = 4 + 100 = 104

Now , by the quadratic formula ;

[tex]{:\implies \quad \sf x=\dfrac{-(-2)\pm \sqrt{104}}{2\times 5}}[/tex]

[tex]{:\implies \quad \sf x=\dfrac{2\pm 2\sqrt{26}}{2\times 5}}[/tex]

[tex]{:\implies \quad \sf x=\dfrac{\cancel{2}(1\pm \sqrt{26})}{\cancel{2}\times 5}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x=\dfrac{1\pm \sqrt{26}}{5}}}}[/tex]

For any quadratic equation of the form ax² + bx + c , the Discriminant (D) is given by D = b² - 4ac , and the root [tex]\bf x[/tex] of the quadratic equation is given by the quadratic formula as

Answer:

17

Step-by-step explanation:

Seeing that traingle ABC is = to triangle DEF.

It means that the angles are equal too.

So you would equate them to each other.

Hence 5X+2=87

5X=87-2

5X=85 (divide by 5)

X=17

Hope that helps :)