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klio [65]
4 years ago
14

Kate begins solving the equation StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartF

raction one-half EndFraction left-parenthesis 6 x minus 4 left-parenthesis.(6x – 3) = StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartFraction one-half EndFraction left-parenthesis 6 x minus 4 left-parenthesis.(6x – 4). Her work is correct and is shown below. StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartFraction one-half EndFraction left-parenthesis 6 x minus 4 left-parenthesis.(6x – 3) = StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartFraction one-half EndFraction left-parenthesis 6 x minus 4 left-parenthesis.(6x – 4) 4x – 2 = 3x – 2 When she adds 2 to both sides, the equation 4x = 3x results. Which solution will best illustrate what happens to x ? The equation has infinite solutions. The equation has one solution: x = 0. The equation has one solution: x = StartFraction 4 Over 3 EndFraction.. The equation has no solution.
Mathematics
1 answer:
zubka84 [21]4 years ago
4 0

Answer:

(B)The equation has one solution: x = 0.

Step-by-step explanation:

The equation Kate is solving is: \dfrac{2}{3} (6x-3)=\dfrac{1}{2}(6x-4)

\dfrac{2(6x-3)}{3}=\dfrac{(6x-4)}{2}\\\dfrac{2*3(2x-1)}{3}=\dfrac{2(3x-2)}{2}\\4x-2=3x-2\\$Adding two both sides$\\4x=3x\\4x-3x=0\\x=0

Therefore, the equation has one solution: x = 0.

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5x + 7y = 17<br> x + 4y = 19
REY [17]
<h2>Answer:</h2>

5x + 7y = 17 ....(1)

x + 4y = 19 .....(2)

<u>From equation 2</u>

x + 4y = 19

x = 19 - 4y

<u>Putting the value of x in Equation (1)</u>

5(19 - 4y) + 7y = 17

95 - 20y + 7y = 17

- 20y + 7y = 17 - 95

-13y = -78

y = \frac{78}{13}

y = 6

<u>Now, putting the value of y in equation </u><u>(</u><u>2</u><u>)</u>

x + 4y = 19

x + 4(6) = 19

x + 24 = 19

x = 19 - 24

x = -5

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5 0
3 years ago
Will mark brainliest, most likely last one sorry.
Neko [114]

Answer:

Step-by-step explanation:

Rational numbers          Irrational numbers

3√25                              5.15603418923......

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1.1625

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Irrational numbers are numbers that doesn't terminate and doesn't repeat.

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6 0
3 years ago
Kendra charges $11 to shovel a driveway. She shoveled 4 driveways on Saturday and then some more on Sunday. She made $143 for th
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Let number of driveways , she shoveled on Sunday = x

And for 4 driveways , Kendra charges = 4*11=44

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And that's the model for the given situation .

Subtracting 44 from both sides,

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Dividing both sides by 11

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Therefore she shoveled 9 driveways on Sunday .

7 0
4 years ago
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maks197457 [2]

Answer:

all the answers are correct

Step-by-step explanation:

on number eight in the work on the 9x it should say -9x but you fixed it later so the answer is right but the work at that point isnt

8 0
3 years ago
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Natali5045456 [20]

I got you because like I gotcha


it’s a wait for five point
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