In the equation 5 + 3x - 7 = 10, what are the like terms?

A chef made 30 donuts in 60 minutes. How long would it take him to<br> make 90 donuts?

Snowcat [4.5K]

$\bf \begin{array}{ccll} donuts&minutes\\ \cline{1-2} 30&60\\ 90&x \end{array}\implies \cfrac{30}{90}=\cfrac{60}{x}\implies \cfrac{1}{3}=\cfrac{60}{x}\implies x=180$

6 0

3 years ago

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Find the slope of the line that is parallel and perpendicular <br><br> -7x-2y=4

Rus_ich [418]

$\bf -7x-2y=4\implies -2y=7x+4\implies y=\cfrac{7x+4}{-2}\implies y=\cfrac{7x}{-2}+\cfrac{4}{-2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{7}{2}} x-2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{7}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{7}}\qquad \stackrel{negative~reciprocal}{\cfrac{2}{7}}}$

now, what's the slope of a line parallel to that one above? well, parallel lines have exactly the same slope.

5 0

3 years ago

The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below which expression represents th

Shalnov [3]

The ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28

<h3>How to find the Mean Absolute Deviation?</h3>

From the given table, we see that;

Mean grade of Sidney = 82

Mean grade of Phil = 78.

Mean absolute deviation of Sidney = 3.28

Mean absolute deviation of Phil = 3.96.

The difference between the two means of Sidney and Phil = 82 - 78 = 4.

Thus, the ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28

Complete Question is;

The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below. Means and Mean Absolute Deviations of Sidney’s and Phil’s Grades Sidney Phil Mean 82 78 Mean Absolute Deviation 3.28 3.96 Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

Read more about Mean Absolute Deviation at; brainly.com/question/447169

#SPJ1

6 0

2 years ago

(b^7/4^5)^-3 i need help its urgent

vredina [299]

Answer:

(4^5/b^7)^3

(1024/b^7)^3

1024^3/b^21

4 0

3 years ago

Sean wrote the equation 9.25 = 5m, where m is the cost per pound, to show the relationship between the total cost, $9.25, and th

OLEGan [10]

<h2>Explanation:</h2>

The complete question is in a comment above. The statements says that:

Sean wrote the equation $9.25=5m$
$m$ is the cost per pound.
The equation show the relationships between the total cost, $9.25, and the number of pounds of pears.

So we are asked to write an write an equation to show the cost y of x pounds of pears. In other words, we need to write an equation such that y is given in terms of x, where x is the pounds of pears. So:

$y=f(x)$

From the equation we can determine $m$ as:

$m=\frac{9.25}{5}=1.85$

So each pound costs $1.85. The equation tells us that 5 pounds of pears result costs $9.25. Then, by proportion:

$\frac{y}{x}=\frac{9.25}{5} \\ \\ y=1.85x$

So choosing the number of pounds as 0, 1, 2, 3, 4, 5, the table would be:

$\begin{array}{cc}x(\text{Number of pounds}) & y(\text{Cost in dollars})\\0 & 0\\1 & 1.85\\2 & 3.7\\3 & 5.55\\4 & 7.4\\5 & 9.25\end{array}$

From the table we can know that the graph is a line. that passes through all these points. Since this line passes through the origin, then y varies directly as x (Direct Proportion).

3 0

4 years ago