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3 years ago

-6(x + 1) < 2(x + 5) how do you solve this

Mathematics

1 answer:

Jobisdone [24]3 years ago

3 0

Answer and work down below

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3 years ago

Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48

saveliy_v [14]

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3 years ago

The perimeter of a triangle is 41 inches. The three sides of the triangle are all differnt lenghts. The longest side is 10 less

erma4kov [3.2K]

Answer:

$Longest\ side=20\ inches\\\\Middle\ side=15\ inches\\\\Shortest\ side=6\ inches$

Step-by-step explanation:

Let be "x" the lenght of the longest side, "y" the lenght of the middle side and "z" the lenght of the shortest side.

The perimeter is:

$41=x+y+z$ [Equation 1]

We know that the longest side is 10 less than twice the middle side length. This can be expressed as:

$x=2y-10$ [Equation 2]

And the middle side length is three less than three times the shortest side length. This is:

$y=3z-3$ [Equation 3]

The steps are:

- Solve for "z" from the third equation:

$y=3z-3\\\\y+3=3z$

$z=\frac{y+3}{3}$ [Equation 4]

- Substitute [Equation 4] into [Equation 1]

- Substitute [Equation 2] into [Equation 1]

Then:

$41=(2y-10)+y+(\frac{y+3}{3})$

- Solve for "y":

$41=2y-10+y+\frac{y+3}{3}\\\\41=2y-10+y+\frac{y}{3}+1\\\\41=\frac{10}{3}y-9\\\\41+9=\frac{10}{3}y\\\\\frac{50*3}{10}=y\\\\y=\frac{150}{10}\\\\y=15$

- Substitute this value into [Equation 2] and into [Equation 4]:

$x=2(15)-10\\\\x=20$

$z=\frac{(15)+3}{3}\\\\z=6$

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3 years ago

Murljashka [212]

Answer:

Step-by-step explanation:

Because I divided by one is one

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3 years ago

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Elina [12.6K]

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3 years ago

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