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Vinil7 [7]
3 years ago
7

Which answer choice results from using the distributive property to rewrite the expression below?

Mathematics
1 answer:
kiruha [24]3 years ago
7 0

Answer:

5x + 40 is correct answer to rewrite

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Total number of faculty is 136. There are 6 professors to every 11 lecturers. How many professors are there
laila [671]

Answer:

The Total number of Professors = 48  

Step-by-step explanation:

Given as,

The total number of Faculty = 136

And the Ratio of Professors to Lecturers = 6 Ratio 11

Now According to question

Professors : Lecturers = 6 : 11

So, Let the Number of Professors = 6x

And      The Number of Lecturers = 11x

∴ 6x + 11x = 136

  Or,   17x = 136

   Or,      x = \frac{136}{17} = 8

Hence, the number of Professors = 6 × 8 = 48       Answer

3 0
3 years ago
If m∠A = 56°, m∠B = 60°, and c = 8, what is the measure of side length b?
Alekssandra [29.7K]

Using the law of sines:

\frac{b}{sin(B)}=\frac{c}{sin(C)}

Solve for b:

\begin{gathered} b=\frac{c\cdot sin(B)}{sin(C)} \\ so: \\ b=\frac{8\cdot sin(60)}{sin(64)} \\ b\approx7.708 \end{gathered}

Answer:

7.708

5 0
1 year ago
The equation for a circle is x^2 - 8x + y^2 -8 =0. what is the equation of the circle in standard form?
yKpoI14uk [10]
You have to complete the square on this to get it into standard form of a circle.  Move the 8 over to the other side because that's part of the radius.  Group together the x terms, take half the linear term which is 8, square it and add it in to both sides.  Half of 8 is 4, 4 squared is 16, so add in 16 to both sides.  I'll show you in a sec.  You don't need to do anything to the y squared term.  This just means that the center of the circle does not move up or down, only side to side, right or left.  Here's your completing the square before we simplify it down to its perfect square binomial. ( x^{2} -8x+16)+ y^{2} =8+16.  Now break down the parenthesis into the perfect square binomial and do the addition of the right: (x-4) ^{2} + y^{2}=24.  This is the standard form of a circle that has a center of (4, 0) and a radius of \sqrt{24}
8 0
3 years ago
20 yd<br> .<br> 12 yd<br> square yards<br> Submit
kicyunya [14]

Answer:

140yd2

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is the value of f(x)=x21+4 when x = 8?<br><br><br> A. 0<br><br> B. 1<br><br> C. 6<br><br> D. 8
Hoochie [10]
When I did this equation I didn’t get any of these following answer choices, I apologize… Maybe the question was worded incorrectly? Please do let me know more info in the comments underneath this answer for I truly wish to help you out here :)

(P.S my work is shown below)

8 0
3 years ago
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