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UNO [17]
2 years ago
14

What value of x makes the equation 3(x – 6) – 8x = –2 + 5(2x + 1) true? Explain your answer

Mathematics
1 answer:
GaryK [48]2 years ago
3 0

Answer:

x = -7/5

Step-by-step explanation:

3( x - 6 ) - 8x = -2 + 5(2x + 1)

3x - 18 - 8x = -2 + 10x + 5

-5x - 18 = 3 + 10x

-5x - 10x = 3 + 18

-15x = 21

x = -\frac{7}{5}

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Are these two equations equivalent
zzz [600]

No because if you look at it flipped and do 100/4=25 then 100/5= 20 so 20 and 25 aren’t the same

4 0
3 years ago
Three men went into a second-hand shop to buy a
olga nikolaevna [1]

Step-by-step explanation:

The trick here is to realize that this is not a sum of the money that the three people paid originally, as that would need to include the money the clerk has ($25). This is instead a sum of a smaller amount the people could have paid ($9 × 3 people = $27), added with the additional money that the clerk would not have needed had they paid that smaller amount ($27 paid - $25 actual cost = $2). Another way to say this is, the $27 already includes the bellhop's tip. To add the $2 to the $27 would be to double-count it. So, the three guests' cost of the room, including the bellhop's tip, is $27. Each of the 3 guests has $1 in his pocket, totaling $3. When added to the $27 revised cost of the room (including tip to the bellhop), the total is $30.

To obtain a sum that totals to the original $30, every dollar must be accounted for, regardless of its location.

Thus, the sensible sum can be expressed in this manner:

7 0
2 years ago
The triangle below is equilateral. Find the length of side 2 in simplest radical form
Masteriza [31]

Answer:

x=\frac{4\sqrt{3}}{3}

Step-by-step explanation:

From the figure attached,

ΔABC is an equilateral triangle.

Therefore, by the property of the equilateral triangle,

Measure of each angle = 60°

By applying tangent rule in the right triangle ADC,

\text{tan}(60^{\circ})=\frac{\text{Opposite side}}{\text{Adjacent side}}

\sqrt{3}=\frac{4}{x}

x=\frac{4}{\sqrt{3}}

x=\frac{4}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3} }

x=\frac{4\sqrt{3}}{3}

5 0
2 years ago
What is the greatest number of of acute angles that a triangle can contain?
Nataly_w [17]
Acute usually means below or exactly 90°, so the greatest would be 90
7 0
3 years ago
Read 2 more answers
What is the midpoint of a line segment with the endpoints (-4, -3) and (7, -5)
Katyanochek1 [597]
Midpoint Formula: (\frac{x+x}{2},\frac{y+y}{2})
Midpoint = (\frac {-4+7}{2},\frac {-3-5}{2})
Midpoint = (\frac {3}{2},\frac {-8}{2})
Midpoint = (\frac {3}{2}, -4)
So, the midpoint of the endpoints (-4,-3) and (7,-5) is (\frac {3}{2}, -4).
Have a nice day! ♪
4 0
3 years ago
Read 2 more answers
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