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Dmitry [639]
3 years ago
5

Solve for x

3(x + 1) = 5(x - 2) + 7" alt="3(x + 1) = 5(x - 2) + 7" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Paul [167]3 years ago
4 0

3(x + 1) = 5(x - 2) + 7

  • Distribute 3 and 5 inside their respective parentheses.

3x + 3 = 5x - 10 + 7

  • Combine like terms.

3x + 3 = 5x - 3

  • Add 3 to both sides.

3x + 6 = 5x

  • Subtract 3x from both sides.

6 = 2x

  • Divide both sides by 2.
<h3>x = 3</h3>
patriot [66]3 years ago
3 0

3(x+1)=5(x-2)+7\\\\&#10;3x+3=5x-10+7\\\\&#10;2x=6\\\\&#10;x=3

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belka [17]
Y= -2+21
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PLZZZZ HELP What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
earnstyle [38]

\bf 3y=-4x+2\implies y=\cfrac{-4x+2}{3} \\\\\\ y=\stackrel{\stackrel{slope}{\downarrow }}{-\cfrac{4}{3}}x+\cfrac{2}{3}\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 the slope of that line above is really -4/3, now


\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{4}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{3}{4}}\qquad \stackrel{negative~reciprocal}{+\cfrac{3}{4}\implies \blacktriangleright \cfrac{3}{4} \blacktriangleleft}}

6 0
3 years ago
How do I write the exponent expression below in numbers
Irina-Kira [14]

Answer:

(3^6)/2

Step-by-step explanation:

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3 years ago
A coffee seller makes a salary of 3,500 dollars per month plus $12 commission for every $100 of coffee he sells. a case of coffe
QveST [7]

Th coffee seller must have sold 130 coffee case but for him to make at least $3650, he must've sold 131 cups of coffee

Data;

  • monthly salary = $3500
  • commission = $12
  • amount due for commission = $100
  • cost of coffee = $25
  • total amount = $3650

<h3>Word Problem</h3>

These are verbal expressions used to represent mathematical problems and if we want to solve them, we must translate them into equations.

If his total pay is $3650 and he earns a commission of $12 for every $100 coffee sold.

How many coffee case are inside $100

100/25=4

This shows that for every 4 coffee case sold, she made ($100 + $12) as profit.

If 4 coffee = $112

how many coffee will give us $3650

4coffee=$112\\x coffee = $3650\\x = \frac{4*3650}{112} \\x = 130.35

From the calculations above, he must've sold at least 131 cups of coffee to make $3650.

Learn more on word problems here;

brainly.com/question/21405634

3 0
3 years ago
Read 2 more answers
a garden is 18 feet 3 inches long and 10 feet 8 inches wide. the amount of fencing needed to enclose the garden is Need help and
Anna [14]

Answer:

\boxed{57ft 10in}

Step-by-step explanation:

<em>Hey there!</em>

Well if the length is 18 and 3 inches we need to find the sum of both lengths,

18ft 3in + 18ft 3in = 36ft 6in

Width- 10ft 8in + 10ft 8in = 20ft 16 in -> 21ft 4in

l + w = 57ft 10in

<em>Hope this helps :)</em>

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