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levacccp [35]
3 years ago
7

Explain why 6:4 and 16:8 are not equivalent ratios

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
6 0

Answer:

Step-by-step explanation:

\frac{6}{4} =\frac{3}{2} \\

\frac{16}{8}=\frac{2}{1}

\frac{3}{2}\neq \frac{2}{1}

Therefore, 6:4 and 16:8 are not equivalent ratios.

daser333 [38]3 years ago
5 0

Answer:

If you will multiply 4 by 2 you will get 8 but if you will multiply 6 by 2 you will get 12 which is not equivalent.

To have an equivalent ratios, the number 6 and 4 should be multiplyed by the same number.

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Answer:

x=65

Step-by-step explanation:

Based on the given conditions, formulate: 157+3.75 X x=400.75

Rearrange unknown terms and Calculate the sum:

3.75x = 400.75 - 157

3.75x = 243.75

x=243.75 / 3.75

x=65

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2 years ago
37. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.
Otrada [13]

Answer:

The linear equation for the line with an x-intercept at (-5,0) and y-intercept at (0,4) is found as $y=\frac{4}{5} x+4$.

Step-by-step explanation:

A condition is given that a line has an x- intercept at (-5,0) and y- intercept at (0,4).

It is asked to find a linear equation satisfying the given condition.

To do so, first determine the slope of the line using coordinates of the given intercepts. Then write the equation in the slope-intercept form using the slope and the y- intercept.

Step 1 of 2

Determine the slope of the line.

The points of the intercepts of the line are given as (-5,0) and (0,4). Next, the formula for the slope is given as,m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute 4&0 for $y_{2}$ and $y_{1}$respectively, and 0&-5 for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows,

$$\begin{aligned}m &=\frac{4-0}{0-(-5)} \\m &=\frac{4}{5}\end{aligned}$$

Step 2 of 2

Write the equation in the slope-intercept form.

The slope-intercept form of a line is given as follows,

$$y=m x+b$$

The coordinates at the y- intercept is (0,4). Now, as the y- coordinate is 4 , so b=4.

So, substitute 4 for b and $\frac{4}{5}$ for m in the equation y=mx+b, as follows,

$y=\frac{4}{5} x+4$$

This is the required linear equation.

7 0
2 years ago
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