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Molodets [167]
3 years ago
7

Select the actions you use to solve 3x = 12. Then select the property that justifies that action.

Mathematics
1 answer:
Travka [436]3 years ago
8 0
X = 4

Use division divide both sides by 3

3x/3 leaves x

12/3=4

Hope it helps

x=4
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Stephen Simmons received a single payment loan for a loan for $6,200. he agreed to repay the loan and 160 days at an interest ra
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Answer:

  $6475.56

Step-by-step explanation:

The maturity value is ...

  A = P(1 +rt)

where P is the principal amount, r is the annual rate, and t is the number of years. For ordinary interest, a year is 360 days, so the number of years is 160/360 = 4/9.

The loan value is ...

  A = $6200(1 + 0.10×4/9) ≈ $6475.56

Stephen's loan has a maturity value of $6,475.56.

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The diameter of a circle is 6 in. What is the circle's circumference?
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Answer: 18.84

Step-by-step explanation:

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Find the distance between the two points in simplest radical form.
SCORPION-xisa [38]

Answer:

The answer is \sqrt{61}

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Step-by-step explanation:

The distance formula:

d =  \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}  }

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☆All we need to do is plug in!

d =  \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}  }  \\ \\  d =   \sqrt{( - 1 - 4) ^{2} + ( - 9 - ( - 3))^{2}  }  \\ d =  \sqrt{( - 5)^{2} + ( - 6) ^{2}}  \\ d  =  \sqrt{25 + 36 }  \\  d =  \sqrt{61}

5 0
3 years ago
X= square root of 10x-24
FrozenT [24]
√10x-24 = x


Step by step solution :

STEP
1
:
Isolate the square root on the left hand side

Radical already isolated
√10x-24 = x


STEP
2
:
Eliminate the radical on the left hand side

Raise both sides to the second power
(√10x-24)2 = (x)2

After squaring
10x-24 = x2


STEP
3
:
Solve the quadratic equation

Rearranged equation
x2 - 10x + 24 = 0

This equation has two rational roots:
{x1, x2}={6, 4}


STEP
4
:
Check that the first solution is correct

Original equation
√10x-24 = x

Plug in 6 for x
√10•(6)-24 = (6)

Simplify
√36 = 6
Solution checks !!
Solution is:
x = 6

STEP
5
:
Check that the second solution is correct

Original equation
√10x-24 = x

Plug in 4 for x
√10•(4)-24 = (4)

Simplify
√16 = 4
Solution checks !!
Solution is:
x = 4
7 0
3 years ago
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