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amm1812
3 years ago
6

The three steps shown below were used to find an expression equivalent to 2/5 (15x- 30y) +10x

Mathematics
2 answers:
Solnce55 [7]3 years ago
8 0
The answer is B, because 6x + 10x= 16x. So, the answer would be 16x-12y, which is your second step.
polet [3.4K]3 years ago
5 0

Answer:

option B is correct

Step 1. 6x - 12y + 10x

Step-by-step explanation:

Given the expression: \frac{2}{5} (15x-30y)+10x

Using distributive property:  a\cdot (b+c)=a\cdot b + a\cdot c

Apply distributive property in the given expression we get;

6x - 12y + 10x

Combine like terms;

16x - 12y

Now, factor a number means to break it up into numbers that can be multiplied together to get the original number

4\cdot 4x - 4 \cdot 3y

4(4x - 3y)

Therefore, the expression could be used  step 1 as,   6x - 12y + 10x

Three steps are:

Step 1. 6x - 12y + 10x

Step 2. 16x - 12y

Step 3. 4(4x - 3y)


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Step-by-step explanation:

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3 years ago
Can somebody help me with these 2 questions and show work ?? :)
777dan777 [17]

5. A. (4, -2)

6. C. (x, y) — (x, -y + 5)

Step-by-step explanation:

5. For the formula y = x, the x and y coordinates get swapped.

M = (-2, 4) — M’ = (4, -2)

6. If the coordinates get reflected across the x-axis, the y coordinates become negative.

(x, y) — (x, -y)

Now that the coordinates are reflected, you go 5 units up (+ 5) to get to the reflection of the coordinates if it was 5 units down before it reflected across the x-axis (- 5).

Ex. 1, 6 gets reflected across the x-axis and moved 5 units up. It’s reflection would be equivalent to (1, -1) because it moved 5 units down (1, 1) then reflected across the x-axis (1, -1).

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3 years ago
A cube with 40-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter deep. (Round your answers t
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Answer:

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1254.4 N

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I would think the questions would be to calculate the forces at the top of the cube and at the sides. Thus:

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P = density * gravity * height

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We integrate both sides and we have:

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F = (3920/2) * (1 ^ 2 - 0.6 ^ 2)

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