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Komok [63]
3 years ago
14

Kesley is thinking of a number. She says that it’s the sum of a number and nine. Multiplied by 2/3, is equal to -18.

Mathematics
1 answer:
Aliun [14]3 years ago
7 0

Answer:

Only the firsts and fourth choices (\frac{2}{3}(x+9)=-18 and \frac{2}{3}x+6=-18)

Step-by-step explanation:

Turn the equation into words:

"A number plus 9"

(x+9)

"Multiplied by \frac{2}{3}"

\frac{2}{3} (x+9)

"Is equals to -18"

\frac{2}{3}(x+9)=-18

Distribute to find the second equation:

\frac{2}{3}(x+9)=-18\\\frac{2}{3}x+6=-18

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attashe74 [19]

Answer:

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3 0
2 years ago
In rectangle KLMN, KM =6x +16 and LN =49. Find the value of X
wolverine [178]
The answer is 5.5

In a rectangle, lengths of diagonals are equal. If you draw the rectangle, you can see that KM and LN are diagonals, so they must be equal:
KM = LN

KM = 6x + 16
LN = 49

6x + 16 = 49
6x = 49 - 16
6x = 33
x = 33/6
x = 5.5
7 0
3 years ago
Read 2 more answers
Tickets for Adults were $14.50 and tickets for Children were $9.00. We purchased 12 tickets and spent a total of $135.50 to get
mihalych1998 [28]

Answer:

(5 , 7)

Step-by-step explanation:

let a = the number of adult tickets

let c = the number of children tickets

then we have to solve the following system

a + c = 12

14.5a + 9c = 135.5

we proceed by Substitution:

              c = 12 - a

14.5a + 9c = 135.5

After some calculations we find

a=5 and c=7

6 0
3 years ago
Read 2 more answers
Find the solution to the system of equations. <br> x+y+z=23 <br> y+z=14 <br> z=9
Ne4ueva [31]
<span>A) x+y+z=23
B) y+z=14
C) z=9
Since z = 9 then
A) x + y = 14
B) y = 5
A) </span><span><span>x + y+ z=23</span>
A) x + 5  + 9 = 23
A) x = 9
 
</span>
3 0
3 years ago
Answer the following questions about the sphere whose equation is given by x2+y2+z2−8x+4y=−4. 1. Find the radius of the sphere.
Anna [14]

Answer:

we have (a,b,c)=(4,-2,0) and R=4 (radius)

Step-by-step explanation:

since

x²+y²+z²−8x+4y=−4

we have to complete the squares to finish with a equation of the form

(x-a)²+(y-b)²+(z-c)²=R²

that is the equation of a sphere of radius R and centre in (a,b,c)

thus

x²+y²+z²−8x+4y=−4

x²+y²+z²−8x+4y +4 = 0

x²+y²+z²−8x+4y +4 +16-16 =0

(x²−8x + 16) + (y² + 4y + 4 ) + (z²) -16 = 0

(x-4)² + (y+2)² + z² = 16

(x-4)² + (y-(-2))² + (z-0)² = 4²

thus we have a=4 , b= -2 , c= 0 and R=4

8 0
3 years ago
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