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pishuonlain [190]
4 years ago
7

9) Gabriel took three math tests last semester. He scored a 91 on the first test, a

Mathematics
1 answer:
Firlakuza [10]4 years ago
3 0

The average of anything can be calculated by adding up all the terms and dividing by the number of terms.

In this case,

the number of terms = 3

x = the missing test score.

(91 + 72 + x) / 3 = 80

Let's multiply both sides by 3

91 + 72 + x = 240

Combine like terms.

163 + x = 240

Subtract 163 from both sides

x = 77

Carlos scored a 77 on his third test.

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The Teknomite Corporation must appoint a president, chief executive officer (CEO), a chief operating officer (COO). It must also
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Answer:

336 ways ;

56 ways

Step-by-step explanation:

Number of ways to have the officers :

Number of qualified candidates, n = 8

Number of officer positions to be filled = 3

A.)

Using permutation (since the ordering matters):

nPr = n! ÷(n-r)!

8P3 = 8! ÷ (8-3)!

8P3 = 8! ÷ 5!

8P3 = (8*7*6)

8P3 = 336 ways

B.) Different ways of appointing committee: (ordering doesn't count as officers can also be appointed)

Using the combination relation :

nPr = n! ÷(n-r)!r!

8C3 = 8! ÷ (8-3)! 3!

8C3 = 8! ÷ 5!3!

8C3 = (8*7*6) ÷ (3*2*1)

8C3 = 336 / 6

8C3 = 56 ways

3 0
3 years ago
Find the equation of a line tangent to the circle (x−1)^2+y^2=26 at the point (2, −5).
77julia77 [94]

Center of circle is ( 1, 0).

Slope of normal passing though ( 1, 0 ) and ( 2, -5 ) is :

m_p=\dfrac{0-(-5)}{1-2}\\\\m_p=-5

So, slope of tangent will be :

m_t=-\dfrac{1}{m_n}\\\\m_t=\dfrac{1}{5}

Equation of tangent :

y-(-5)=\dfrac{1}{5}(x-2)\\\\5y+25=x-2\\\\5y-x+27=0

Hence, this is the required solution.

6 0
4 years ago
In an acute scalene triangle, one angle is 20 degrees larger than another angle and the third angle is half the sum of the other
katen-ka-za [31]

Answer:

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Step-by-step explanation:

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What’s 4(2a+3a) if a=2
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Amanda [17]

Answer:

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Step-by-step explanation:

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