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3 years ago

An equation is shown below:

1 answer:

meriva3 years ago

7 0

<span>4(2x - 5) = 4

8x - 20 = 4

8x = 4 + 20

8x = 24

x = </span> $\frac{24}{8}$

x = 3

Part A:

This equation has only one solution. {Working shown above}

Part B:

The solution is x = 3. {Working shown above}

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Andell is 9 years older than Arnez. arnez is 3 years younger than Marianne. the sum of their ages is 24. what is the age of each

Harman [31]

Answer:

Arnez is 4. Andell is 13. Marianne is 7.

Step-by-step explanation:

Let x represent Arnez's age. If we write out an equation, we end up with this:

24 = (9 + x) + (x + 3) + x

24 = 9 + x + x + 3 + x

24 = (x + x + x) + (9 + 3)

24 = 3x + 12

24 - 12 = 3x + 12 - 12

12 / 3 = 3x / 3

4 = x

5 0

3 years ago

Find the equation for intercept x 4 and y -7

nadezda [96]

Answer:

y = $\frac{-7x}{4} - 14$

Step-by-step explanation:

The equation used to find the equation for a line with two intercepts is called point slope form. $y - y_{1} = m(x - x_{1})$ , where $y_{1}$ and $x_{1}$ are the intercept points and m is the slope.

However, we need the slope to use this formula.

Use $m = \frac{y_{1} - y_{2} }{x_{1} - x_{2}}$

m = \frac{y_{1} - y_{2} }{x_{1} - x_{2}}

$m = \frac{((0) - (7))}{((4) - (0))}$

$m = \frac{-7}{4}$

$y - y_{1} = m(x - x_{1})$

y - ( -7 ) = m ( x - ( 4 ) )

y - ( -7 ) = -7/4 ( x - ( 4 ) )

y + 7 = -7/4 ( x + 4 )

y + 7 = $\frac{-7(x+4)}{4}$

y + 7 = $\frac{-7x-28}{4}$

y + 7 = $\frac{-7x}{4} - 7$

y + 7 = $\frac{-7x}{4} - 7$ - 7

y = $\frac{-7x}{4} - 14$

8 0

4 years ago

On a coordinate plane, a line goes through (0, negative 3) and (3, negative 2). A point is at (negative 4, 2).

bulgar [2K]

Answer:

Correct option: first one -> y = (1/3)x + (10/3)

Step-by-step explanation:

The linear function that represents a line is:

y = ax + b

Where a is the slope and b is the y-intercept.

First we need to find the slope of the line that goes through (0, -3) and (3, -2).

Using both points, we can find the equation of the line:

x = 0 -> y = -3

-3 = a*0 + b

b = -3

x = 3 -> y = -2

-2 = 3a - 3

3a = 1

a = 1/3

The parallel line needs to have the same slope as the line, so we can model the parallel line with the following equation:

y = (1/3)x + b

The parallel line goes through the point (-4, 2), so we have:

x = -4 -> y = 2

2 = (1/3)*(-4) + b

b = 2 + (4/3)

b = 10/3

So the equation of the parallel line is:

y = (1/3)x + (10/3)

Correct option: first one

5 0

3 years ago

The volume of a cube is 27000 cubic inches. What is the length of one side?

anyanavicka [17]

Given:

Volume of a cube = 27,000 in^3

(Note: A cube has equal sides)

The volume of a cube = a^3

So,

$\begin{gathered} 27000=a^3 \\ \sqrt[3]{27000}\text{ = a} \\ a\text{ = 30 in.} \end{gathered}$

Therefore, the lenght of one side is 30 inches.

4 0

1 year ago

In 8 minutes,josh was able to type 496 words.What's his typing speed in words per minute

leva [86]

62 words per minute. You would divide 8 from 496 since you need to find out how many words he can type in a minute. Your answer is 62 words per minute.

Hope this helped! :)

3 0

3 years ago