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yuradex [85]
3 years ago
6

9/16x = 3/4 how do you do it if you’re solving for x

Mathematics
1 answer:
ruslelena [56]3 years ago
7 0

Answer:

x=\frac{3}{4}

Step-by-step explanation:

Whenever we have 2 fractions equal to each other, we first cross multiply, then take variables to one side and numbers to other side and use basic algebra to solve for the variable [here, it is x].

The process is shown below:

\frac{9}{16x}=\frac{3}{4}\\9*4=16x*3\\36=48x\\x=\frac{36}{48}=\frac{3}{4}

So, x = 3/4

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Ksivusya [100]
The typical number of people living in a household base off of the data is 4 or 5 people
4 0
3 years ago
What is true of the graph of two lines 3y-8=-5x and 6y=-10x+16
Murljashka [212]

Answer:

Both lines are equal (they are the same)

<em></em>

Step-by-step explanation:

Given

3y - 8 = -5x

6y = -10x + 16

Required

What is true about graph of both lines

<em>Questions like this are better solved when there's option(s) to select from. However, some of the properties of line equation that I'll consider are to check  if both lines are either parallel or perpendicular</em>

<em />

To do this,

The first thing to do is to calculate the slope of both lines

3y - 8 = -5x

Add 8 to both sides

3y - 8 + 8 = -5x + 8

3y = -5x + 8

Divide both sided by 3

\frac{3y}{3} = -\frac{5x}{3} + \frac{8}{3}

y = -\frac{5x}{3} + \frac{8}{3}

The slope of the line is the coefficient of x;

Slope = -\frac{5}{3}

Solve for the y intercept; <em>Let x = 0</em>

y = -\frac{5 * 0}{3} + \frac{8}{3}

y = 0 + \frac{8}{3}

y = \frac{8}{3}

Solve for the x intercept; <em>Let y = 0</em>

0 = -\frac{5x}{3} + \frac{8}{3}

Subtract \frac{8}{3} from both sides

0 - \frac{8}{3} = -\frac{5x}{3} + \frac{8}{3} - \frac{8}{3}

- \frac{8}{3} = -\frac{5x}{3}

Subtract both sides by -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = -\frac{5x}{3} * -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = x

\frac{3}{5} * \frac{8}{3} = x

\frac{8}{5} = x

x = \frac{8}{5}

------------------------------------------------------------------------------------------------------

6y = -10x + 16

Divide both sides by 6

\frac{6y}{6} = -\frac{10x}{6} + \frac{16}{6}

y = -\frac{10x}{6} + \frac{16}{6}

Simplify fractions to lowest term

y = -\frac{5x}{3} + \frac{8}{3}

The slope of the line is the coefficient of x;

Slope = -\frac{5}{3}

Solve for the y intercept; <em>Let x = 0</em>

y = -\frac{5 * 0}{3} + \frac{8}{3}

y = 0 + \frac{8}{3}

y = \frac{8}{3}

Solve for the x intercept; <em>Let y = 0</em>

0 = -\frac{5x}{3} + \frac{8}{3}

Subtract \frac{8}{3} from both sides

0 - \frac{8}{3} = -\frac{5x}{3} + \frac{8}{3} - \frac{8}{3}

- \frac{8}{3} = -\frac{5x}{3}

Subtract both sides by -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = -\frac{5x}{3} * -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = x

\frac{3}{5} * \frac{8}{3} = x

\frac{8}{5} = x

x = \frac{8}{5}

-------------------------------------------------------------------------------------------------------

By comparing the slope, x intercept and y intercept of both lines;

It'll be observed that they have the same slope, x intercept and y intercept

<em>This implies that both lines are equal; in other words, they are the same.</em>

6 0
3 years ago
Given f(x) = 9-3x and g(x) = - 6x + 3, find (f + g)(x).
disa [49]

Answer:4

Step-by-step explanation:

6 0
3 years ago
"The fitted regression line will always run through the mean of the observed data. In other words, the point (x with bar on top,
Kamila [148]
Great question goodluck in the future
6 0
3 years ago
A square is folded into half to form a rectangle. the perimeter of the rectangle is 36cm. calculate the area of a square​
zhannawk [14.2K]

Answer:

Let the measure of each side of the square be " x " cm.

then ,

area of square = x²

After we folded the square into a rectangle ,

length of rectangle = x

breadth of rectangle = x/2

perimeter of rectangle = 36 cm

x +  \frac{x}{2}  + x +  \frac{x}{2}  = 36 \\  \\    \frac{2x + x + 2x + x}{2}  = 36 \\  \\   \frac{6x}{2}  = 36 \\  \\ 6x = 36 \times 2 \\  \\ 6x = 72 \\  \\ 6x =  \cancel{\frac{72}{6} } = 12cm

hence ,

side of square = 12 cm

therefore ,

area of square = 12 × 12 = 144 cm²

hope helpful~

8 0
2 years ago
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