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garri49 [273]
2 years ago
13

What would the first step be in solving the equation 4/7x = 21

Mathematics
2 answers:
Contact [7]2 years ago
7 0

❄ Hi there,

the first step in solving this inequality is

  • multiplying (both sides) by 7

\sf{\dfrac{4}{7}x\times7=21\times7}. Look what happens on the left side!

\sf{4x=147}

Multiplying both sides of an equation, or inequality, by the fraction's denominator, is a nice little trick when you need to get rid of fractions to solve in terms of a variable.

Finish solving for x by dividing both sides by 4 –

\sf{x=\dfrac{147}{4}}

❄

Eva8 [605]2 years ago
5 0

Step-by-step explanation:

\frac{4}{7x}  = 21 \\

7x = 21 \times 4

7x = 84

x =  \frac{84}{7}  \\

x = 12..

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In the equation 10n=120, is n 10?
lina2011 [118]
No, n is 12.

To solve it, divide both sides by 10,
120/10 = 12

Hope this helps!
6 0
4 years ago
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The length of a living room is 12 feet and its width is 10 feet. The length of the room is being expanded by x foet. Select all
Wewaii [24]

Answer:

You simply just do 12 multiplied by 10 which will give you 120m^2

4 0
3 years ago
Pls help i’ll give u a brainlest
Viefleur [7K]

Answer:

66

Step-by-step explanation:

The bases are both the same so it's 3*3 for both of them.

The sides are also the same so it's 3*4 for all four of them.

3*3+3*3+3*4+3*4+3*4+3*4

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66

8 0
3 years ago
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The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2/3x + 6. What is the point-
Elena-2011 [213]

y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}}x+6\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}

so hmmm then we know the slope of that line is -2/3, so we're really looking for the point-slope form of a line with a slope of -2/3 and that passes through (-3 , 8)

(\stackrel{x_1}{-3}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{(-3)})\implies y-8=-\cfrac{2}{3}(x+3)

3 0
2 years ago
Find the standard deviation of the data, 12, 19, 9.
jek_recluse [69]

Answer:

4.19

Step-by-step explanation:

Find the mean:

\text{Mean}=\frac{12+19+9}{3}=\frac{40}{3}

Find the standard deviation:

\text{Standard Deviation}=\sqrt{\frac{(12-\frac{40}{3})^2+(19-\frac{40}{3})^2+(9-\frac{40}{3})^2}{3}}=\sqrt{\frac{158}{9}}\approx4.19

4 0
3 years ago
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