Two families go to the theatre the Smith family of three adults and four children pay £67 the Jones family of five adults and six children pay £106 work out the cost of an adult ticket and the cost of a child ticket in your working at a stand for an adult ticket and C stand for child ticket

Answer:

Yes, Samuel dart does land on the dart board

Step-by-step explanation:

The given parameters are;

The height from the floor to the bulls eye = 5 feet 8 inches

The size of the standard board = 18 inches diameter

The distance of the bulls eye from the wall to the left = 11 feet

The distance the dart Samuel throws land from the left wall = 11.5 feet

The distance above the ground, the dart Samuel throws land = 5.5 feet

Whereby Samuel throws the dart directly at the dartboard, we have;

The location of the bulls eye = (11, 5.67)

The equation of the circle representing the dart board = (x - 11)² + (y - 5.67)² = 0.75² = 0.5625

The unit of the radius is in feet

The position of Samuel's dart is represented by the coordinate, (11.5, 5.5)

Plugging in the coordinates of the position of Samuel's dart into the equation of the circle of the dart board gives;

(11.5 - 11)² + (5.5 - 5.67)² = 0.2789 ≈ 0.528²

Therefore, given that the square of the distance of the position of Samuel's dart is less than the square of the radius of the dart board, we have;

Yes, Samuel dart does land on the dart board.

From the parameters given to find out if Samuel's dart landed on the dartboard, we can say that;

Samuel's dart does not land on the dartboard.

We are given;

Height from the floor to the bulls eye = 5 ft 8 in = 5.67 ft

Diameter of the standard dartboard = 18 in = 1.5 ft

Thus, radius; r = 1.5/2 = 0.75 ft

Distance of the bulls eye from the wall to the left = 11 ft

Distance of dart thrown by Samuel from the left wall = 11.5 ft

Height of dart thrown by Samuel above the ground = 5.5 ft

We know that general equation of a circle is;

(x - a)² + (y - b)² = r²

Since Height from the floor to the bulls eye is 5.67ft,then a = 5.67 ft

And also since Distance of the bulls eye from the wall to the left = 11 ft, then b = 11 ft

Thus;

(x - 11)² + (y - 5.67)² = 0.75²

(x - 11)² + (y - 5.67)² = 0.5625

Now, since he throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor. Thus;

r² = (11.5 - 11)² + (5.5 - 5.67)²

r² = 0.2789

r² of 0.2789 gotten here is lesser than 0.5625 gotten earlier, we can conclude that Samuel's dart does not land on the dart board.

Read more at; https://brainly.com/question/18430680

Answer:

-23x.

Step-by-step explanation:

5x(9 - 3) +7.

5x times 9 = 45.

5x times -3 = -15.

45x - 15 +7.

45x - 15 = 30.

-30 + 7 = -23.

Hope this helps!

Have a good day ma'am/sir.

Be safe!

Answer:

3.3 x 10⁻⁴

Step-by-step explanation:

Given expression:

           [tex]\frac{2.64 x 10^{-3} }{8.0 x 10^{0} }[/tex]

 To solve this problem;

    10°   = 1

So;

             [tex]\frac{2.64 x 10^{-3} }{8.0}[/tex]

    =  [tex]\frac{2.64}{8}[/tex]  x 10⁻³

    = 0.33 x 10⁻³

    = 3.3 x 10⁻¹  x 10⁻³

     = 3.3 x 10⁻⁴

Answer:

If r= 5 in 3r+(2-4)

it will beome

3(5)+(2-4)

=  15+(-2)

=  15-2

=  13

Vertex Vertex Vertex

Answer:

An angle can be formed when two rays meet at a common point. The rays are the sides of the angle. The point of the end of two rays is called the vertex.

Step-by-step explanation:

Answer:

ok in this diagram we have two triangles the first triangle all angles are unknown the second triangle we have the values of two angles so we will start with the second triangle and as you know angles in a triangle add up to 180° so we will take 35 degrees + 30 degrees and name the unknown angle x is equals to 180 degrees so it will be 65 degrees + x is equals to 180° put the like terms together x will be equal to 180 degrees - 65 degrees it becomes a minus because when a plus crosses the equal sign it becomes - so x is equals to 115° and as you can see in the diagram 115° is vertically opposite z then you can extend the lines so as to understand the diagram better when you extend the lines you find that 35 degrees is equal to angle v so it will be 115 degrees + 35 degrees + x is equals to 180 degrees so 150° + x is equals to 180 degrees put the like times together x is equals to 180 degrees minus 150° x is equals to 30 degrees

Answer:

7/23

Step-by-step explanation:

First you make it an improper fraction, which gets you 23/7. Then to find the reciprocal, you simply flip it over. Therefore you get 7/23.

There you go! Have a nice day. Mark brainliest if possible please ;)

Answer:

The answer would be -4/3x+y=-2/3

Step-by-step explanation:

The standard form formula is Ax+By=C. By just subtracting 4/3x both sides, the linear equation is know in standard form.

Answer:

15.2

Step-by-step explanation:

Answer:

★ The answer would be 15.2

Step-by-step explanation:

We need to find

16 % of 95

Write it exactly as it is said.

16 % can be written as a fraction.

16/100×95=15.2

Answer:

x = [tex]\frac{29}{7}[/tex]

Step-by-step explanation:

Given f(x) = 7x + 2 and f(x) = 31 then equate the right sides

7x + 2 = 31 ( subtract 2 from both sides )

7x = 29 ( divide both sides by 7 )

x = [tex]\frac{29}{7}[/tex]

Answer:

The answer is 64

Step-by-step explanation:

A perfect cube is a number that is the cube of an integer. Some examples of perfect cubes are 1, 8, 27, 64, 125, 216, 343, ..

Answer:

27 tomatoes

Step-by-step explanation:

Answer:

27kg

Step-by-step explanation:

352 divided by 44 equals 8.  216 divided by 8 equals 27.  So 27 times 8 equals 216. Therefore 216 dollars will get you 27 kg of tomatoes.

Answer:

1)There has just been a dilation and translation of the first triangle to get to the second. Their hypotenuses have the same slope of +1.

2)There has just been a dilation since they are on about the same points of the line with a slope of  1  1/2.

3)They are related because they are both on the line with a slope of -3/2

4)Only a translation happened since they are the same size and are on the same line that has a slope of 2/3

Step-by-step explanation:

i would say 6 circles, so the second one.

Answer:

6 circles

Step-by-step explanation:

because yess

Answer:

2/10, 2/7, 5/8 ,2/3 ,3/4 ,8/4

Step-by-step explanation:

I learned when I was younger that the fractions with smaller denominators are bigger. (1/3 > 1/4). That changes when the numerators change. So 1/3 < 3/4. It is kinda hard to explain but there is an easier way were you find the greatest common multiple and make all the denominators equivalent.

Answer:

b

Step-by-step explanation:

:)

Answer:

a=6

Step-by-step explanation:

5x+12=9x-12

5x+12-12=9x-12-12

5x=9x-24

5x-9x=9x-24-9x

-4x=-24

-24/-4

x=6

Answer: 12 + 5a = 9a + -12

Reorder the terms:

12 + 5a = -12 + 9a

Solving

12 + 5a = -12 + 9a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-9a' to each side of the equation.

12 + 5a + -9a = -12 + 9a + -9a

Combine like terms: 5a + -9a = -4a

12 + -4a = -12 + 9a + -9a

Combine like terms: 9a + -9a = 0

12 + -4a = -12 + 0

12 + -4a = -12

Add '-12' to each side of the equation.

12 + -12 + -4a = -12 + -12

Combine like terms: 12 + -12 = 0

0 + -4a = -12 + -12

-4a = -12 + -12

Combine like terms: -12 + -12 = -24

-4a = -24

Divide each side by '-4'.

a = 6

Simplifying

a = 6

Step-by-step explanation: found it off of google

Answer:

first one 10.50$ second 20.50 $ third 30.50$ forth 40.50 the cost of each t shirt

is 10.50$

Answer:

The top line is a pure gross sales number showing how much revenue the company brought in for a given period.

Answer:

their both the same

Step-by-step explanation:

add and subtract divide multiply

Answer:

(0,4)

Step-by-step explanation:

The x-axis is the horizontal line on the grid. When finding coordinates, we record the x-axis first. So in this case, look at point N.

N only comes up from 0 on the x-axis, so that's the first part of the coordinate.

Now for the y-axis. The y-axis is the vertical line on the grid. Point N seems to be on the number 4 of the y-axis.

so your answer is (0,4)

Answer:

its D    1  7/8 also which is 1R7

Step-by-step explanation:

mark me as brainliest

Answer:

You need to solve it like a rectangle

Scale 1cm = 30Yd

Formula = A=lxw

Length = 7x30=210yd

Height = 4x30=120yd

Answer 120x210= 25,200 sq. yd.

Right, make sense?

Answer:

25200 square yards

Step-by-step explanation:

Reminder: the area of a parallelogram is its length times its height. In that case, it would be 4cm*7cm.

But you have to remember that 1 cm represents 30 yards, so you have to multiply everything by 30 first, and then solve:

4*30 yards * 7*30 yards

= 120 yards * 210 yards

= 25200 square yards.

Answer:

x=4

Step-by-step explanation:

Cross multiply both sides to get 2(3x)=(x+20). Simplify to get 6x=x+20. Subtract x from both sides to get 5x=20, and divide both sides by 5 to get 4 as the value of x. The value of x will be your answer.

Answer:

A.) x = 4

Step-by-step explanation:

If [tex]\frac {(x+20)} {2} = 3x[/tex], then we plugin values:

[tex]\frac {(4+20)} {2} = 12[/tex]  which is equal to 3(4).

Answer:

2.096

Step-by-step explanation:

Answer:

6x+1

Step-by-step explanation:

9x+2x-5x+7-6

11x-5x+7-6

6x+1

Awnser: 6x+1 :D

What you do is you split it in half so 9x plus 2x is 11x minus 5x is 6x. 7-6 is 1. Put them together and you get 6x+1