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Bad White [126]
3 years ago
13

Pls help me ASAP!!! Tickets for a concert cost $7.50 for students and $15 for adults. 150 ticket are sold, and $1612.50 is colle

cted. How many student tickets were sold? How many adult tickets?
Mathematics
1 answer:
mariarad [96]3 years ago
8 0
Answer: 85 student tickets, 65 adult tickets.
Let's say the # of students is x and the # of adults is y. The two equations we get are 7.50x + 15y = 1612.50 and x + y = 150
x = 150 - y
7.5(150-y) + 15y = 1612.5
1125-7.5y+15y=1612.5
7.5y=487.5
y=65

x=150-65
x=85

Hope this helps!
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Step-by-step explanatin

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a third grader has a goal of solving 100 math facts in 5 minutes (or 300 seconds). how many seconds can he spend on each math fa
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Solve the 3 × 3 system shown below. Enter the values of x, y, and z. X + 2y – z = –3 (1) 2x – y + z = 5 (2) x – y + z = 4 (3)
Svet_ta [14]
<h2>Answer:</h2>

\boxed{x=1, \y=-1, \ z=2}

<h2>Step-by-step explanation:</h2>

We will use the Gaussian elimination method to solve this problem. To do so, let's follow the following steps:

Step 1: Let's multiply first equation by −2. Next, add the result to the second equation. So:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\~~ x&-~~~~~ y&+~~~~ z&~=~4\end{array}

Step 2: Let's multiply first equation by −1. Next, add the result to the third equation. Thus:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\&-~~~3~ y&+~~2~ z&~=~7\end{array}

Step 3: Let's multiply second equation by −35, Next, add the result to the third equation. Therefore:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\&&+~~\frac{ 1 }{ 5 }~ z&~=~\frac{ 2 }{ 5 }\end{array}

Step 4: solve for z, then for y, then for x:

\frac{ 1 }{ 5 } ~ z & = \frac{ 2 }{ 5 } \\ \\ \boxed{z & = 2}

-5y+3z &= 11\\-5y+3\cdot 2 &= 11\\ \\ \boxed{y &= -1}

By substituting y=-1 \ and \ z=2 into the first equation, we get the x. So:

x+2(-1)-2=-3 \\ \\ x-2-2=-3 \\ \\ \boxed{x=1}

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3 years ago
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Will mark brainliest once it becomes available
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Answer:

m=47

Step-by-step explanation:

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When sales of a particular hybrid automobile reach 60,000 units, federal income tax credits begin to phase out. One year after r
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Answer:

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now, a little bit longer to explain % calculations in general.

let's say, we are talking 27%. now we have a problem to find a fast fraction as factor.

it always starts with the identification of 100%.

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to get said 27% we have to multiply this by 27

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x% = 100% × x / 100

that also works for more complex questions. e.g. calculate 1.5%

1.5% = $3000 × 1.5 / 100 = $30 × 1.5 = $45

and that is all there is to % calculations. all the questions are just some variations, where your are missing one of the 3 "ingredients" : 100% amount, x% amount and x itself.

and you need to transform the general equation above to get the missing piece of of the given information.

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