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3 years ago

Mary is buying tickets for a movie.

Mathematics

1 answer:

Anastasy [175]3 years ago

3 0

adult ticket = 10

child ticket = 4

Step-by-step explanation:

for example…

adult ticket = x
child ticket = y

so that we get a system of equations

9x + 5y = 110…Equation 1

x + y = 14…Equation 2

solve the system of equations, this time I will use the Elimination and Substitution method

9x + 5y = 110

x + y = 14 (multiplied by 5)

↓↓↓↓↓↓↓

9x + 5y = 110

5x + 5y = 70

___________ _

4x = 40

x = 10

to find value of y subtitute x to one of Equation. for example from second Equation…

x + y = 14

10 + y = 14

y = 14 - 10

y = 4

∴ So, the number of each ticket was she bought is 10 adult ticket and 4 child ticket.

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A certain roller coaster can accommodate 1600 riders per hour a digital sign states that there are 345 people in line if you get

sergiy2304 [10]

Given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

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Therefore, it will take you 12.94 minutes to get to the front of the line.

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3 years ago

The digit 5 appears twice in the number 255,120. How does the total value of the 5 on the right compare to the total value of th

maksim [4K]

Answer:

The value of the first " $5$ " in the number $255,\!120$ is ten times that of the second " $5\!$ " in this number.

Step-by-step explanation:

What gives the number " $255,\!120$ " its value? Of course, each of its six digits has contributed. However, their significance are not exactly the same. For example, changing the first $\verb!5!$ to $\verb!6!$ would give $2\mathbf{6}5,\!120$ and increase the value of this number by $10,\!000$ . On the other hand, changing the second $\verb!5!\!$ to $\verb!6!\!$ would give $25\mathbf{6},\!120$ , which is an increase of only $1,\!000$ compared to the original number.

The order of these two digits matter because the number " $255,\!120$ " is written using positional notation. In this notation, the position of each digits gives the digit a unique weight. For example, in $255,\!120\!$ :

$\begin{array}{|r||c|c|c|c|c|c|}\cline{1-7}\verb!Digit!& \verb!2! & \verb!5! & \verb!5! & \verb!1! & \verb!2! & \verb!0!\\\cline{1-7}\textsf{Index} & 5 & 4 & 3 & 2 & 1& 0 \\ \cline{1-7} \textsf{Weight} & 10^{5} & 10^{4} & 10^{3} & 10^{2} & 10^{1} & 10^{0}\\\cline{1-7}\end{array}$ .

(Note that the index starts at $0$ from the right-hand side.)

Using these weights, the value $255,\!120$ can be written as the sum:

$\begin{aligned}& 255,\!120\\ &= 2 \times 10^{5} + 5 \times 10^{4} + 5 \times 10^{3} + 1 \times 10^{2} + 2 \times 10^{1} + 0 \times 10^{0} \\&=200,\!000 + 50,\!000 + 5,\!000 + 100 + 20 + 0 \end{aligned}$ .