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liq [111]
3 years ago
12

Estimate what 32% of 647 is

Mathematics
1 answer:
I am Lyosha [343]3 years ago
3 0

Answer:

189

Step-by-step explanation:

32% is rounded to 30. And 647 is rounded to 630. 30% times 630 is 189.

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The measure of angle θ is 3pi/2 . The measure of its reference angle is /, and tan θ is .
Sphinxa [80]

Answer:

Reference angle: \frac{\pi}{2}

tan(\theta)=tan(\frac{3\pi}{2}) is not defined.

Step-by-step explanation:

The angle \theta goes from the positive x-axis to the negative y-axis.

Therefore the reference angle can be calculated as following:

\frac{3\pi}{2}-\pi=\frac{\pi}{2}

 We know that tan(\theta)is:

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

If \theta=\frac{3\pi}{2} then cos(\frac{3\pi}{2})=0, therefore tan(\frac{3\pi}{2}) is not defined, because the division by 0 is not defined.

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A baseball team is hosting a dance as a fundraiser. the cost of 1 individual ticket is $7. the cost of 1 group ticket is $16. th
QveST [7]
<h2>Word Problem</h2>

To form equations from word problems, we can do the following:

  1. Identify variables
  2. Find key information
  3. Identify word equations and translate into numerical equations
  4. Solve

<h2>Solving the Question</h2>

We're given:

  • Let <em>x</em> be the number of individual tickets that were sold
  • Let <em>y</em> be the number of group tickets sold
  • Cost of 1x = 7 dollars
  • Cost of 1y = 16 dollars
  • Baseball team: 36 more x than y
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  • Fundraiser raised 574 dollars in total
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Question: How many individual tickets were sold? (What is the value of <em>x</em>?)

Here are all the equations we have created:

  • x = 36 + y
  • 7x + 16y = 574

We can solve for the value of <em>x</em> using systems of equations.

First, isolate <em>y</em> in the first equation:

x = 36 + y\\y=x-36

Now, plug this into the second equation:

7x + 16y = 574\\7x + 16(x-36)= 574\\7x+ 16x-586= 574\\23x=1150\\\\x=\dfrac{1150}{23}\\\\x=50

Therefore, <em>x</em> is equal to 50.

<h2>Answer</h2>

50 individual tickets were sold.

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