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bazaltina [42]
3 years ago
6

Identifying Equivalent Expressions

Mathematics
1 answer:
aivan3 [116]3 years ago
3 0

Answer:

Option c, d and e are equivalent expressions to 7x-14

Step-by-step explanation:

Which expressions are equivalent to 7x - 14

Equivalent Expressions:

<em>The expressions that are the same, even if the expression looks different.</em>

<em>For example: 2x^2+4 is equivalent to 2(x^2+2) because solving 2(x^2+2) we get 2x^2+4</em>

Now, finding equivalent to expressions 7x - 14

Option a) 14 - 7x

Not equivalent to 7x-14

Option b) x-2

Not equivalent to 7x-14

Option c) -(14 – 7x)

Simplifying: -14+7x so, equivalent to 7x-14

Option d) (x - 2)

Simplifying: 7x-14 so, equivalent to 7x-14

Option e) - 14 + 4x

Simplifying: 3x+4x-14 = 7x-14, so, equivalent to 7x-14

Option f) 2x - 10 + 5x + 4

Simplifying: 2x+5x-10+4 = 7x-6 so, Not equivalent to 7x-14

So, Option c, d and e are equivalent expressions to 7x-14

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Answer:

$44,850

Step-by-step explanation:

Gross income is $65,500

Allowable deductions are $2,500

Operating income is $65,500-$2,500=$63,000

From the given tax structure, Veronia will pay 15% for the first $25,000 then 30% for $63,000-$25,000=$38,000

Tax will be (0.15*$25,000)+(0.3*$38,000)=$15,150

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Income after tax will be $63,000-$15,150=$47,850

Net income=$47,850-$3,000=$44,850

<u>Ans=$44,850</u>

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Step-by-step explanation:

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Add the two equations, 0.75x+1.5y=40 and −1.5x−1.5y=−60 , to find the value of x .
sergij07 [2.7K]

The value of x in the equation is 26.7

<h3>How to solve an equation?</h3>

0.75x + 1.5y = 40

−1.5x − 1.5y = −60

add both equation to eliminate y .

Therefore,

−1.5x + 0.75x = -0.75x

1.5y + (- 1.5y) = 0

40 + (-60) = -20

Hence,

-0.75x  = - 20

divide both sides by -0.75

-0.75x / -0/75 = - 20 / -0.75

x = - 20 / -0.75

x = 26.6666666667

x = 26.7

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1 year ago
Will give brainless whatever that means. Due today. The radius of a basketball is 10 inches, and the radius of a soccer ball is
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9514 1404 393

Answer:

  1135.2 in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = (4/3)πr^3

The difference in volume will be ...

  ∆V = Vb -Vs = (4/3)π(10^3 -9^3) = (4/3)π(1000 -729) = 4/3π·271 . . . cubic in

  ∆V ≈ 1135.2 . . . cubic inches

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_____

If you use 3.14 for π, your answer is 1134.6 in^3.

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