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3 years ago

1/3 times the difference of a number and five is -2/3 which equation best shows this

Mathematics

1 answer:

LekaFEV [45]3 years ago

4 0

Answer:

$\frac{1}{3}*(x-5)=\frac{-2}{3}$

Step-by-step explanation:

Let the number be x

Difference of a number & 5 : x-5

1/3 time the difference of a number & 5: 1/3 (x-5)

Equation:

$\frac{1}{3}*(x-5)=\frac{-2}{3}$

Solution:

$x-5=\frac{-2}{3}*\frac{3}{1}\\\\x-5=-2\\\\x=-2+5\\x=3$

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vaieri [72.5K]

Answer:

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2 years ago

Find the equation of a line that passes through points A and B.

mars1129 [50]

Answer:

y = 2x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2, 3)

m = = = 2, thus

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To find c substitute either of the 2 points into the partial equation.

Using B(2, 3), then

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2 years ago

Find the absolute value. |-120

Scilla [17]

Answer:

120

Step-by-step explanation:

The absolute value is 120. Think about it on a number line, the absolute value is the amount of spaces that -120 is away from 0. Therefore, the amount of spaces -120 is from 0, is 120.

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3 years ago

Cube A has a volume of 9 in3. Cube B has a volume of 5 in3. Which of the following expresses the ratio of the side length of Cub

Troyanec [42]

Using the formula for the volume of a cube, it is found that the expression which gives the ratio of the side length of Cube A to the side length of Cube B is:

$r = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}$