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N76 [4]
3 years ago
14

Tickets to a play cost $11 for each adult and $4 for each child. If 360 tickets were sold for a total of 2826, how many tickets

of each type were sold. SHOW WORK
Mathematics
1 answer:
Vesna [10]3 years ago
7 0
Well take 11 decided by 4 then take tat decided by 360
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Prove that the statement (ab)^n=a^n * b^n is true using mathematical induction.
mamaluj [8]

Answer:

see below

Step-by-step explanation:

      (ab)^n=a^n * b^n

We need to show that it is true for n=1

assuming that it is true for n = k;

(ab)^n=a^n * b^n

( ab) ^1 = a^1 * b^1

ab = a * b

ab = ab

Then we need to show that it is true for n = ( k+1)

or (ab)^(k+1)=a^( k+1) * b^( k+1)

Starting with

  (ab)^k=a^k * b^k    given

Multiply each side by ab

ab *  (ab)^k= ab *a^k * b^k

   ( ab) ^ ( k+1) = a^ ( k+1) b^ (k+1)

Therefore, the rule is true for every natural number n

5 0
3 years ago
Read 2 more answers
Charlie does a weekly exercise program consisting of cardiovascular work and weight training. Each week, he exercises for at lea
german

Answer:

(x_1,y_1) = (0,9)

(x_2,y_2) = (6,3)

(x_3,y_3) = (6,12)

Step-by-step explanation:

Given

x = hours spent on cardiovascular work

y = hours spent on weight training

From the first statement,

Each week: he spends at least 9 hours

This is represented as:

Total \ge 9

x + y \ge 9

From the second statement,

Each week: he spends a max of 12 hours on weights

This is represented as:

Weight \le 12

y \le 12

From the third statement,

Each week: he spends a max of 6 hours on cardio works

This is represented as:

Cardio \le 6

x \le 6

So, the inequalities are:

x + y \ge 9

y \le 12

x \le 6

See attachment for the graph where the solution are also highlighted

From the attachment, the solutions are:

(x_1,y_1) = (0,9)

(x_2,y_2) = (6,3)

(x_3,y_3) = (6,12)

8 0
3 years ago
Solve the following equation.<br> x^2 + 6x − 40 = 0
jonny [76]

Answer:

x = 4 and -10

Step-by-step explanation:

Given the equation

x²+6x-40= 0

The common factors to use for the factorisation are +10 and -4

x²+(10x-4x)-40=0

(x²+10x)-(4x-40) = 0

x(x+10)-4(x+10) = 0

(x-4)(x+10) = 0

x-4 =0 and x+10 = 0

x = 4 and x = -10

8 0
3 years ago
A baker makes 38 cookies in 2 hours at this rate how many cookies can the baker make in 9 hours
Likurg_2 [28]
First calculate how many cookies makes in one hour and then I calculate the number of cookies he makes in nine hours

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3 years ago
Classify the triangle by its sides and angles
lord [1]

Answer:

Obtuse Scalene Triangle

Give me Brainliest if I'm correct , please ! :)

8 0
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