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alexgriva [62]
3 years ago
10

Trinity's science instructor entered the 7th students in a STEM competition. There was an enrollment fee of $50 and an additiona

l fee of $12 for each packet of 10 tests. The total cost was $170. How many tests were purchased?
Which of the following equations best models the situation?
Question 1 options:

12x + 50 = 170


50x + 12 = 170


12x - 50 = 170


50x - 12 = 170
Mathematics
1 answer:
lina2011 [118]3 years ago
3 0
12x +50 = 170
-50 -50
12x=120
/12 /12
x=10

Ten packets were purchased
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The areas of the squares adjacent to two sides of a right triangle are 29.2529.2529, point, 25 units^2 2 squared and 131313 unit
bonufazy [111]

Answer:

6.5 units

Step-by-step explanation:

We are given that

Two adjacent sides of right triangle

Suppose a,b and c are sides of right triangle.

a^2=29.25squared units

b^2=13square units.

Length of third side,c=x units

We have to find the length of third side of the triangle.

x^2=a^2+b^2

By using Pythagoras theorem

(Hypotenuse)^2=(Perpendicular\;side)^2+(Base)^2

x^2=29.25+13

x=\sqrt{29.25+13}

x=6.5units

Hence, the length x of the third side of the triangle=6.5 units

3 0
3 years ago
Read 2 more answers
Q4 <br>Find the equation of the perpendicular lines ​
Snezhnost [94]

Answer:

  a. x +2y -1 = 0

  b. x -y = 3

Step-by-step explanation:

A line perpendicular to a given line will have a slope that is the opposite reciprocal of the slope of the given line. Using any equation of a line as a starting point, the equation of the perpendicular line can be written by interchanging the coefficients of x and y, and negating one of them.

The constant (c) in the equation will need to be chosen to make the line go through some particular point. This is generally accomplished by substituting the (x, y) values into the equation and choosing the constant to make it true.

__

<h3>a.</h3>

  2x -y -1 = 0 . . . . . given line

  x +2y -c = 0 . . . . . perpendicular line

  x +2y -(2 +2(-1/2)) = 0 . . . . . . through the point (x, y) = (2, -1/2)

  x +2y -1 = 0

__

<h3>b.</h3>

  2x +2y = 5 . . . . . given line

  x -y = c . . . . . . . . perpendicular line (common factor of 2 divided out)

  x -y = 1 -(-2) . . . . . . . . through the point (x, y) = (1, -2)

  x -y = 3

_____

<em>Additional comment</em>

The attachment shows the original lines as dashed, and the perpendicular lines as solid. The required points are also identified.

8 0
1 year ago
So far this year, a company has sold 8.28×10^5 tablet computers. How many more tablets must the company sell for it's tablet sal
Mrac [35]
So far this year, a company has sold 8.28×10^5 tablet computers. How many more tablets must the company sell for it's tablet sales to reach 1 million thisyear? Explain how you solved this problem

The standard form of 8.28 × 105 is 828,000. Subtract this number from 1 million: 1,000,000 - 828,000 = 172,000.

Answer: 172,000 or 1.72 × 105
6 0
3 years ago
Evaluate the following expression when t= 2 .<br> t² – 44 - 4<br> Help please
valentina_108 [34]

Answer:

-44

Step-by-step explanation:

So you want to plug 2 in for t, so the equation should now look like:

2^{2} - 44 - 4

No all you have to do is solve

2^{2} = 4

4 - 44 = -40

-40 - 4 = -44

3 0
3 years ago
Read 2 more answers
Find the unknown angle measure
laiz [17]

Answer:50

Step-by-step explanation:

Since the total of angles is 180, you just substract two numbers given by 180. Then, you will get 50. 180-(58+72) = 50

3 0
3 years ago
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