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Ierofanga [76]
3 years ago
8

What is the constant in the following equation? 12 = 3k

Mathematics
1 answer:
stiks02 [169]3 years ago
5 0

Answer:

k = 4

Step-by-step explanation:

12=3k\\\frac{12}{3}=\frac{3k}{3} \\4=k

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When 4(0.5x+2.5y-0.7x-1.3y+4) is simplified, what is the resulting expression?
padilas [110]

Answer:

-0.8x + 4.8y + 16

Step-by-step explanation:

4(0.5x+2.5y-0.7x-1.3y+4) = 4( 0.5x - 0.7x  + 2.5y - 1.3y + 4)

= 4( -0.2x  + 1.2y + 4)

= 4*(-0.2x)  + 4 *1.2y + 4*4

= -0.8x + 4.8y + 16

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3 years ago
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The sum of two consecutive numbers is 37. What are they?
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8. The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United
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0.2637

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7 0
2 years ago
How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2. X 2 6x – 4y = –10 one
nordsb [41]

The system of equations provides a unique solution(one solution) at (-0.6, 1.6).

<h2>Given to us,</h2>
  1. y=\dfrac{2}{3}x+2
  2. 6x-4y=-10

<h3>Equation 2</h3>

As we already have the value of y from equation 1, substitute its value in equation 2,

6x-4y=-10

6x-4(\dfrac{2}{3}x+2)=-10

6x-\dfrac{8}{3}x-8=-10

\dfrac{6x}{1}-\dfrac{8}{3}x=-10+8

\dfrac{6x\times 3}{1\times 3}-\dfrac{8}{3}x=-2

\dfrac{18x-8x}{3}=-2

10x=-6\\

x=\dfrac{-6}{10} \\\\x=-0.6

<h3>Equation 1,</h3>

y=\dfrac{2}{3}x+2

substitute the value of x in equation 1,

y=\dfrac{2}{3}(\dfrac{-6}{10})+2\\\\y = \dfrac{-2}{5}+2\\\\y= \dfrac{-2+10}{5}\\\\y = \dfrac{8}{5}\\\\y=1.6

As we can see the system of equations provides a unique solution(one solution) at (-0.6, 1.6).

Learn more about the system of equations:

brainly.com/question/12895249

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