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joja [24]
3 years ago
13

Twice a number, increased by 3 is the same as five less than four times a number.what is the number?

Mathematics
1 answer:
zzz [600]3 years ago
8 0

Answer:

x = 4, hope this helps!

Step-by-step explanation:

2x + 3 = 4x - 5

-2x -2x

3 = 2x -5

+5 +5

8 = 2x

divide by 2 on both sides

4 = x

switch where the x and 4 is, because teachers seem to like that

x = 4

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A segment has an endpoint at (1,−2). The midpoint is at (−4,−2). What are the coordinates of the other endpoint?
vodka [1.7K]

Answer:

The other midpoint is located at coordinates (-9,-2) (Second option)

Step-by-step explanation:

<u>Midpoints</u>

If P(a,b) and Q(c,d) are points in \mathbb{R} ^2, the midpoint between them is the point exactly in the center of the line that joins P and Q. Its coordinates are given by

\displaystyle x_m=\frac{a+c}{2}

\displaystyle y_m=\frac{b+d}{2}

We are given one endpoint at P(1,-2) and the midpoint at M(-4,-2). The other endpoint must be at an equal distance from the midpoint as it is from P. We can see both given points have the same value of y=-2. This simplifies the calculations because we only need to deal with the x-coordinate.

The x-distance from P to M is 1-(-4)=5 units. This means the other endpoint must be 5 units to the left of M:

x (other endpoint)= - 4 - 5 = - 9

So the other midpoint is located at (-9,-2) (Second option)

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Step-by-step explanation:

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The question is incomplete:

If you see that gasoline costs $1.70 in Georgia and $3.40 in California, you can  conclude that gasoline is twice as expensive in California as in Georgia. This  conclusion from this comparison reflects the function of money as a:

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Answer:

Unit of account

Step-by-step explanation:

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According to this, the answer is that this  conclusion from this comparison reflects the function of money as a unit of account because it indicates that money works as a unit that you can use to compare the value of products, in this case the price of gasoline in different places.

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