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3 years ago

Zuleika was solving 2(x - 3) - 9 = 3x - 9. Zuleika's first step resulted in 2(x - 3) = 3x

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

8 0

Answer:

$x=-6$

Step-by-step explanation:

The given equation is

$2(x-3)-9=3x-9$

Step 1: Using addition property of equality, add 9 on both sides.

$2(x-3)-9+9=3x-9+9$

$2(x-3)=3x$

Step 2: Using distributive property, we get

$2(x)+2(-3)=3x$

$2x-6=3x$

Step 3: Using addition property of equality twice we get

$2x-6+6=3x+6$

$2x=3x+6$

$2x-3x=3x+6-3x$

$-x=6$

Step 4: Using multiplication property of equality, multiply both sides by -1.

$(-x)(-1)=(6)(-1)$

$x=-6$

Therefore, the solution of the given equation is x=-6.

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Answer:

-1/1

Step-by-step explanation:

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3 years ago

An oil drilling company drills the same distance each day for 5 days. They started at an elevation of 121.175 feet and ended at

nirvana33 [79]

Answer:

$x=\dfrac{|-246.875-121.175|}{5}$

Step-by-step explanation:

Given that:

Same distance is drilled by the oil drilling company for 5 days.

Initial elevation = 121.175 feet

Final elevation = -246.875 feet

To find:

The equation to find the value of $x$ i.e. the distance drilled each day?

Solution:

To find the distance drilled each day, we need to divide the total distance drilled with the number of days taken to drill the total distance.

Total distance drilled can be found by subtracting the initial elevation from the final elevation and taking modulus because distance can not be negative.

Total distance drilled = | Final elevation - Initial elevation |

Total distance drilled = | -246.875 - 121.175 |

Therefore, we can write the expression as:

$x=\dfrac{|-246.875-121.175|}{5}$

$\Rightarrow x=\dfrac{|-368.05 |}{5} =73.61\ ft/day$

3 0

3 years ago

$15 represents 20% of the spending money Arie is saving for camp this summer. What is the total amount of money she hopes to tak

S_A_V [24]

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4 0

3 years ago

A rug is to fit in a room so that a border of even width is left on all four sides. if the room is 22 feetby 25 feet and the are

Damm [24]

--------------------------------------------------------
Find area of the border :
--------------------------------------------------------
Area of the room = 22 x 25 = 550 ft²
Area of the rug = 238 ft²
Area of the border = 550 - 238 = 312 ft²

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Define y:
--------------------------------------------------------
Let the width be y.

--------------------------------------------------------
Find area of the border in term of y :
--------------------------------------------------------
The area of the border = 22y x 2 + 25y x 2 - 4y² = 94y - 4y²
*We need to take away 4y² because the 4 corners will be overlap twice if we don't.

--------------------------------------------------------
Solve y :
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94y - 4y² = 312
4y² - 94y + 312 = 0
2y² - 47y + 156 = 0
<span>(y - 4)(2y - 39) = 0
</span>y = 4 or y = 19.5

--------------------------------------------------------
Answer: The border can be 4 ft or 19.5 ft
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7 0

3 years ago

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Nataly [62]

Answer:

12x-15

Step-by-step explanation:

Let

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3 years ago