Kayla bought seven boxes. A week later, half of all her boxes were destroyed in
a fire. There are now only 22 boxes left. With how many did she start? Show your work.

Answers

Answer 1

Answer:

Let's call the number of boxes Maria started with:

There are 37 boxes

Step-by-step explanation:

Let's call the number of boxes Kayla started with:

Then we can write:

22

=

b

+

7

2

Where:

22

is the number of boxes Kayla has left.

(

b

+

7

)

is the number of boxes Kayla started with plus the

7

she bought

The division by

2

represents

1

2

of the total boxes Kayla had being destroyed by fire.

We can solve this by first multiplying each side of the equation by

2

to eliminate the fraction while keeping the equation balanced:

2

×

22

=

2

×

b

+

7

2

44

=

2

×

b

+

7

2

44

=

b

+

7

Now, subtract

7

from each side of the equation to solve for

b

while keeping the equation balanced:

44

7

=

b

+

7

7

37

=

b

+

0

37

=

b

b

=

37

Kayla started out with 37 boxes.


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Answer

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Step-by-step explanation:

In geometry, reflection basically just means flipping things over a line.

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Answers

Answer:

x-45=12

Step-by-step explanation:

a number equals x

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Answers

Answer:

150

Step-by-step explanation:

since 4 percent would have to be multiplied by 25 to get 100 you have to multiply 6 by 25. This comes out to 150. You can even check this by doing 150 times 0.04 which is 6 so we are correct!

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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1 + 1 + 2 + 4 + 7 = 15

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if a parabola is horizontally translated 15 units left, stretch by a factor of 20, vertically translated down 30 units and reflected in the x axis determine the equation of the parabola in vertex form

Answers

your normal parabola is y=x^2 but with translations you get the form y=a(x-h)^2+k. it is horizontally shifted by 15 so h=15, the stretch factor is 20 so a=20, it is translated down by 30 so k=-30, and it is reflected in the x axis so a is negative. your answer is y=-20(x-15)^2-30. DONT OPEN ANY SKETCHY LINKS!!!

Answer:

y' = a(x'- ((h-15)/20))² + -(k-30)

Step-by-step explanation:

Vertex: (h,k)

horizontally translated 15 units left: (h-15 , k)

stretch by a factor of 20: ((h-15)/20 , k)

vertically translated down 30 units: ((h-15)/20 , k-30)

reflected in the x axis: ((h-15)/20 , -(k-30))

Vertex' (h' , k'): ((h-15)/20 , -(k-30))

Equation: y' = a(x'-h')² + k'

y' = a(x'- ((h-15)/20))² + -(k-30)

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(6,-2)
(-2,6)
(-3, 4)
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Answers

Answer:

Step-by-step explanation:

2x+3y= 6     ========================>>>           2x +  3y = 6

x+y=4    =====   times both sides by 2  =====>>>    2x + 2y = 8

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

C. 5

Step-by-step explanation:

Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.

Remember, the Pythagorean Theorem is:

a² + b² = c²

where a and b are the legs of the right triangle and c is the hypotenuse.

As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:

a² + 12² = 13²

Now we solve for a.

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Subtract 144 from both sides.

a² = 169 - 144

a² = 25

Take the square root of both sides.

a = √25

a = 5

So the length of side a would be 5.

The answer would be C. 5.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer: C. 5

Step-by-step explanation:

We'll use the Pythagorean Theorem to find the missing side.

a^2 + b^2 = c^2

a^2 + 12^2 = 13^2

a^2 +  144 = 169

a^2 = 25

(simplify)

[tex]a^2 = \sqrt{25}[/tex]

a = 5

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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A.
32
B.
33
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318

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

The volume of the cube is;

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Step-by-step explanation:

The parameters of the prism are;

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Answers

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Step-by-step explanation:

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