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3 years ago

How many solutions can be found for the equation 5x + 3(x − 1) = 10x − x − 5? (4 points)

Mathematics

1 answer:

Svet_ta [14]3 years ago

8 0

Answer:

The correct option is b.

Step-by-step explanation:

To find the number of solutions, we need to solve the equation:

$5x + 3(x - 1) = 10x - x - 5$

Let's group all the "x" on the equation.

$5x + 3x - 10x + x = 3 - 5$

Now, let's solve for "x".

$-x = -2$

$x = 2$

Therefore, the equation has one solution. The correct option is b.

I hope it helps you!

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A dinner table is a perfect circle with a diameter of 8 feet. With dinner plates that each a diameter of exactly 1 foot, how muc

Harlamova29_29 [7]

The area of the tablecloth showing is approximately 45.55 square feet

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called as the area of the circle.

It is given that:-

The diameter of the dinner table, D = 8 feet

The diameter of each plate, d = 1 feet

The number of people at the dinner table = 6 people

The number of plates = 6 plates

The area of the table cloth, A₁ = π·D²/4

∴ A₁ = π × 8²/4

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Let 'A' represent the area of the tablecloth showing when the table is set for six people, we have;

A = A₁ - A₂

∴ A = π × 8²/4 - 6 × π × 1²/4 ≈ 45.55 ft.²

Therefore the area of the tablecloth showing when the table is set for six people, A ≈ 45.55 ft.²

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2 years ago

Which of the sets of equations represent the two lines graphed?

Oksi-84 [34.3K]

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B) y = x + 2 and y = -x - 4

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Step-by-step explanation:

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