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maria [59]
3 years ago
8

There are 80 sixth graders at Wilson Middle School. Only 60% of the sixth graders will attend the morning assembly. How many six

th graders will be at the morning assembly?
help please
Mathematics
2 answers:
iragen [17]3 years ago
6 0
80 x 0.60=48
So what you do is you multiply 80  times 60% which gives you 48 which is that's how many students will attend the assembly in the morning.
Montano1993 [528]3 years ago
3 0
You would do 80 * 6/10, which equals 48. Therefore there would be 48 sixth graders at the morning assembly. Hope this helps. Please rate, leave a thanks, and mark a brainliest answer(Not necessarily mine). Thanks, it really helps! :D
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Find the equation of the sphere centered at (-9,9, -9) with radius 5. Normalize your equations so that the coefficient of x2 is
olganol [36]
<h2><u>Answer</u>:</h2>

(a) x² + y² + z² + 18(x - y + z) + 218 = 0

(b) (x + 9)² + (y - 9)² + 56 = 0

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

<em>The general equation of a sphere of radius r and centered at C = (x₀, y₀, z₀) is given by;</em>

(x - x₀)² + (y - y₀)² + (z - z₀)² = r²               ------------------(i)

<em>From the question:</em>

The sphere is centered at C = (x₀, y₀, z₀) = (-9, 9, -9) and has a radius r = 5.

<em>Therefore, to get the equation of the sphere, substitute these values into equation (i) as follows;</em>

(x - (-9))² + (y - 9)² + (z - (-9))² = 5²

(x + 9)² + (y - 9)² + (z + 9)² = 25      ------------------(ii)

<em>Open the brackets and have the following:</em>

(x + 9)² + (y - 9)² + (z + 9)² = 25

(x² + 18x + 81) + (y² - 18y + 81) + (z² + 18z + 81) = 25

x² + 18x + 81 + y² - 18y + 81 + z² + 18z + 81 = 25

x² + y² + z² + 18(x - y + z) + 243 = 25

x² + y² + z² + 18(x - y + z) + 218 = 0    [<em>equation has already been normalized since the coefficient of x² is 1</em>]

<em>Therefore, the equation of the sphere centered at (-9,9, -9) with radius 5 is:</em>

x² + y² + z² + 18(x - y + z) + 218 = 0

(2)  To get the equation when the sphere intersects a plane z = 0, we substitute z = 0 in equation (ii) as follows;

(x + 9)² + (y - 9)² + (0 + 9)² = 25

(x + 9)² + (y - 9)² + (9)² = 25

(x + 9)² + (y - 9)² + 81 = 25        [<em>subtract 25 from both sides</em>]

(x + 9)² + (y - 9)² + 81 - 25 = 25 - 25

(x + 9)² + (y - 9)² + 56 = 0

The equation is therefore, (x + 9)² + (y - 9)² + 56 = 0

6 0
3 years ago
If EF bisects CD, CG =5x-1, GD = 7x-13, EF = 6x-4, and GF =13, find EG
VARVARA [1.3K]

<em>Greetings from Brasil....</em>

As stated in the statement of the question, EF is a bisector of CD, so point G is the median point of CD, so CG = GD

5X - 1 = 7X - 13

X = 6

EF = EG + GF

6X - 4 = EG + 13      x = 6, so

6·6 - 4 = EG + 13

<h2>EG = 19</h2>

<em>(see attachment)</em>

6 0
2 years ago
Help I will be marking brainliest!!!
baherus [9]

Answer:

Angle k is 34.5 degrees

Step-by-step explanation:

a circle makes 360 degrees total.  okay so u have to consider the angles given. m arc go= 127

m<0 = 54.5

54.5 times 2 = 109

109 is arc gk

109 + 127+ 55= 291

360-291=69= arc OU

69 divided by 2 is 34.5

Angle k is 34.5 degrees

3 0
3 years ago
Carol bought 12 pounds of bananas for $13.50 and then the next week she bought 20 pounds for $22. Which bunch of bananas was the
DENIUS [597]
The answer is B) 20 lbs for $22 because carol is getting 8 pounds more for only $9+
4 0
2 years ago
Can you help me? xy - 5 at x = 5, y = 2( pls show work)
r-ruslan [8.4K]

Answer:

5

Step-by-step explanation:

xy-5

plug in 5 for x and 2 for y

5*2-5

multiply

10-5

subtract

5

4 0
2 years ago
Read 2 more answers
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