Kim's school is selling tickets to a play. On the first day of ticket sales the school sold 5 senior citizen tickets and 6 child tickets for a total of $148. The school took in $189 on the second day by selling 7 senior citizen tickets and 7 child tickets. Find the price of a senior citizen ticket andthe price of a child ticket.

Answer:

4, 9, 14, 19, 24, 29, 34, 39, 44, 49 and so on.

Step-by-step explanation:

1. If we use the rule starting from 4, we can add 15. That will give us 19.

2. Subtract 10, that will give us 9.

Now if we keep applying this rule we will keep going on to an infinite possibility of numbers.

So, the next number would be 9, then so on.

Answer:

x>1

Step-by-step explanation:

20 < 5x +15

20 - 15 < 5x

5 < 5x

1< x

x>1

The left side is equivalent to

[tex]\displaystyle \sum_{k=1}^n \frac1{k(k+1)}[/tex]

When n = 1, we have on the left side

[tex]\displaystyle \sum_{k=1}^1 \frac1{k(k+1)} = \frac1{1\cdot2} = \frac12[/tex]

and on the right side,

[tex]1 - \dfrac1{1+1} = 1 - \dfrac12 = \dfrac12[/tex]

so this case holds.

Assume the equality holds for n = N, so that

[tex]\displaystyle \sum_{k=1}^N \frac1{k(k+1)} =1 - \frac1{N+1}[/tex]

We want to use this to establish equality for n = N + 1, so that

[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac1{N+2}[/tex]

We have

[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = \sum_{k=1}^N \frac1{k(k+1)} + \frac1{(N+1)(N+2)}[/tex]

[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac1{N+1} + \frac1{(N+1)(N+2)}[/tex]

[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac{N+2}{(N+1)(N+2)} + \frac1{(N+1)(N+2)}[/tex]

[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac{N+1}{(N+1)(N+2)}[/tex]

[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac1{N+2}[/tex]

and this proves the claim.

Answer:

(2,3)

Step-by-step explanation:

(2)(2) + (3)(3) = 13

The correct options are (a) and (d).

A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.

The given equation is as below,

2x + 3y = 12                              (1)

In order to find the correct answer all the options are considered one by one as follows,

(a) (0, 4)

Substitute x = 0 and y = 4 in equation to get,

LHS = 2× 0 + 3 × 4

       = 12

Since LHS = RHS, the given option is correct.

(b)  (3, 2)

Substitute x = 3 and y = 2 in equation to get,

LHS = 2× 2 + 3 × 2

       = 10

Since LHS ≠ RHS, the given option is not correct.

(c)  (2, 3)

Substitute x = 2 and y = 3 in equation to get,

LHS = 2× 3 + 3 × 3

       = 13

Since LHS ≠ RHS, the given option is not correct.

(d) (6, 0)

Substitute x = 0 and y = 4 in equation to get,

LHS = 2× 6 + 3 × 0

       = 12  

Since LHS = RHS, the given option is correct.

Hence, the points satisfying the given equation are (0, 4) and (6, 0).

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ2

Answer:

3/2, 9/8, and 8/5 are all greater than 1

Step-by-step explanation:

Answer:

5/8 and 1/2

Step-by-step explanation:

The answer is 5/8 and 1/2 because the value of its fraction is less than 1.

Step-by-step explanation:

d=2

r=d/2 = 1

Now you know the r=1, so you can substitute into the forumula:

V=4 /3πr3

Answer:

we have the sides of the triangle, which are 14, 5, and 12 inches.

in a right angled triangle, the longest side is the hypotenuse

and pythagoras’s theorem is used/ can be used.

a^b + b^2 = c^2 where c is the hypotenuse

so we know a = 12, b = 5, and c = 14

now check whether the statement is true

we should get c = 14 if it’s a right triangle

12^2 + 5^2 = c^2

144 + 25 = c^2

169 = c^2

√169 = 13 = c

so since we got 13 for c and it’s not 14

we know that this isn’t a right angled triangle

Answer:

I think ( b) is non proportional linear

Answer:

11: 5

Step-by-step explanation:

22 feet: 10 inches     Reduce.     22/10 = 11/5

Answer:

13 piece of chalk

Step-by-step explanation:

If we add 3+2+6+1

Therefore 13 would be the total amount

Answer:

15.12 ÷ 12 = 1.26 per burger

Answer:

eight hundreths

Step-by-step explanation:

Its easy

3/4x+2/3x

1 5/12x

Step-by-step explanation:

9/12x + 8/12x= 17/12x = 1 5/12x

Answer:

x>99/4

Step-by-step explanation: hope this helps :)

Answer:

2.7

Step-by-step explanation:

thats the answer

Answer:

the answer is D

Step-by-step explanation:

the quadrilaterals are not the same

Answer:

(23)(39)

Step-by-step explanation:

When you have to look for the "product" of two numbers, it implies multiplication.

With this, get rid of 23 + 39 = 62 as an answer.

Now simply enough, multiply 23 by 39,

23 * 39 = 897

Meaning that A. (23)(39) = 897 is the answer.

Answer:

Answers not possible?

Step-by-step explanation:

Sphere:

V = (4/3)πr³

Cylinder:  V = πr²h

1.  Calculate the radius of the sphere with volume of 36000 mm^3:

r = 20.5 mm

2.  Calculate the volume of a cylinder with a radius of 20.5 mm and length of 40 mm.

V = 52810 mm^3

====

I don't see how the radius of the cylinder and sphere can be equal to each other, given the values provided.

I also note that the question asks for both the radius AND length of the sphere:  A sphere does not have a length.

Sorry, but I don't see an answer to either of the questions, as written.  Hopefully someone else will see a solution.

Answer:

3

Step-by-step explanation:

Answer:

Vertex: ( 3 , 2 )

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex  ( h , k ) .

Axis of Symmetry:  x = 3

Vertex: ( 3 , 2 )

Graph: in pic

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

The answer is C. 6

Step-by-step explanation:

36/6=6

or

6x6=36

42/7=6

or

7x6=42

I hope this helped. I wouldn't mind a brainlist either!

Using triangle concepts, it is found that the length of the third side of Damaris’s triangle could be any value greater than 3 inches and less than 15 inches.

In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.

Considering 6 inches and 9 inches the smallest sides:

[tex]x < 6 + 9[/tex]

[tex]x < 15[/tex]

Considering 9 inches as the greater side:

[tex]x + 6 > 9[/tex]

[tex]x > 9 - 6[/tex]

[tex]x > 3[/tex]

The length of the third side of Damaris’s triangle could be any value greater than 3 inches and less than 15 inches.

A similar problem is given at https://brainly.com/question/24175053

Answer:

9cups of dried split peas

8 qts of water

3 cups of chopped onion

4 cups chopped celery

8 lbs Ham shank

Step-by-step explanation:

The recipe serves 8 people, so to figure out how much you need to serve 32 people you multiply each measurment by 4 because 8 x 4=32.

2 1/4 x 4 = 9

2 x 4 = 8

3/4 x 4 = 3

1 x 4 = 4

2 x 4 = 8

Answer:

the slope is 4/5. y-intercept: ( 0,-2)

Step-by-step explanation:

I hope this is what you wanted!!

Answer:

tyggghjjjhgggggggggggggggg

Answer:

TanQ=20/21

Step-by-step explanation:

since we know that

TanQ= opposite/Adjacent

so we are going to calculate for the adjacent using Pythagoras theorem

a^2+b^2=c^2

20^2+b^2=29^2

400 + b^2=841

b^2=841-400

√b^2=√441

b=21

so our tanQ= opp/adj

tanQ=20/21

Full question

8. Which of the following is NOT a role of gravity in erosion?

A. It moves glaciers down slope.

C. In mountains, it moves down large slabs of rocks.

D. It acts as agents of mass wasting like landslides, fall, mudflows, and avalanches​