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professor190 [17]
3 years ago
9

Math nation section 10 test yourself

Mathematics
1 answer:
Aleksandr [31]3 years ago
8 0
Huhnsnmdmfqkwkwnnzfnmfkw
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Ritchie got a job at the movie theater. On the first day, he sold 5 adult tickets and 7 children tickets for a total of 104. On
g100num [7]

Answer:

  • adult: $11
  • children: $7

Step-by-step explanation:

The sales on the two days can be expressed using equations that can be solved for ticket prices.

<h3>Setup</h3>

Let x and y represent the prices of adult and children's tickets, respectively. Then the sales revenue for the two days can be expressed in the equations ...

  • 5x +7y = 104
  • 7x +3y = 98

<h3>Solution</h3>

One of the easiest solution methods is to use a graphing calculator. The first attachment shows the prices are $11 for an adult ticket; $7 for children tickets.

Using the matrix functions of a calculator, the augmented matrix of the equation coefficients can be reduced to row-echelon form. This, too, shows the solution to be (adult price, children price) = ($11, $7). See the second attachment. (The solution is the right-most column of the reduced matrix.)

Yet another solution method can use the coefficients from the equations written in general form:

  • 5x +7y -104 = 0
  • 7x +3y -98 = 0

In this form, we define three products of "cross multiplication":

  Δ1 = (5)(3) -(7)(7) = -34

  Δ2 = (7)(-98) -(3)(-104) = -374

  Δ3 = (-104)(7) -(-98)(5) = -238

Using those, we find the variable values to be ...

  x = Δ2/Δ1 = -374/-34 = 11

  y = Δ3/Δ1 = -238/-34 = 7

(adult price, children price) = ($11, $7)

__

You can read more about the cross-multiplication method here:

brainly.com/question/26397343

6 0
1 year ago
Read 2 more answers
Which is equivalent to 64 to the 1/4 power
Sladkaya [172]

Answer:

The answer to your question is the first option

Step-by-step explanation:

                                            64^{1/4}

Process

1.- Find the prime factors of 64

                                      64  2

                                      32  2

                                      16   2

                                        8  2

                                        4  2

                                        2  2

                                         1

                      64 = 2⁶

2.- Express 64 as a fractional exponent

                      64^{1/4} = 2^{6/4}

3.- Simplify

                      64^{1/4} = 2^{4/4} 2^{2/4}

                      64^{1/4} = 2^{1} 2^{2/4}

                      64^{1/4} = 2\sqrt[4]{2^{2}}

4.- Result

                      64^{1/4} = 2\sqrt[4]{4}                                        

5 0
3 years ago
B) 75: 125 help me solve it
mash [69]

75:125

divide both sides by 25

75/25= 3

125/25= 5

Answer: 3:5

4 0
3 years ago
HW1
katrin2010 [14]

Answer:

He is incorrect. The true greatest common factor is 8.

Step-by-step explanation

Although 4 is a factor of both numbers, 32 and 8 can both be factorized (multiplied) by 8 to have the given numbers as an outcome.

Ex. 4 * 8 = 32 ; 8 * 1 = 8

5 0
3 years ago
The linear equation 99​(xminus−77​)equals=99​(xplus 88​) is
Natalija [7]
99(x-77)=99(x+88)
99x-7623=99x+8712
99x-99x=8712+7623
0=670824.no solution as x becomes 0
3 0
3 years ago
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