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Pani-rosa [81]
3 years ago
13

10. Write the equation of the line that is perpendicular to the line y = -1/5x +9 and passes through the point (-2,-2).

Mathematics
1 answer:
Lelechka [254]3 years ago
3 0

Answer:

y = 5x + 8

Step-by-step explanation:

- When a line is perpendicular, the slope becomes the opposite.

y = 5x + b

-2 = 5(-2) + b

-2 = -10 + b

8 = b

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\begin{array}{lcccl} &\stackrel{lbs}{Qty}&\stackrel{\$}{price}&\stackrel{total}{value}\\ \cline{2-4}&\\ \textit{1st candy}&x&0.9&0.9x\\ \textit{2nd candy}&y&0.4&0.4y\\ \cline{1-4} mix&50&0.85&42.5 \end{array}\qquad \qquad \begin{cases} x+y=50\\\\ 0.9x+0.4y=42.5 \end{cases} \\\\[-0.35em] ~\dotfill\stackrel{\textit{using the 1st equation}}{x+y=50\implies y=50-x}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{0.9x~~ + ~~0.4(50-x)~~ = ~~42.5} \\\\\\ 0.9x+20-0.4x=42.5\implies 0.5x+20=42.5\implies 0.5x=22.5 \\\\\\ x=\cfrac{22.5}{0.5}\implies \boxed{x=45}\qquad \qquad \qquad \boxed{\stackrel{50~~ - ~~45}{y=5}}

8 0
2 years ago
A restaurant averages ales of $120,000 when serving 20,000 guests. The restaurant's variable costs when 20,000 is $90,000. The c
Katarina [22]

Answer: Restaurant's monthly breakeven point in sales is $31333.

Step-by-step explanation:

Since we have given that

Number of guests = 20,000

Average sales = $120,000

Contribution margin per guest = $1.50

Let the number of sales be 'x'.

Cost per sales would be

\dfrac{120000}{20000}\\\\=\$6

Margin contributed by 2000 guests would be

1.50\times 20000\\\\=\$3000

So, Revenue function would be

6x+3000

Fixed monthly cost = $ 50,000

Variable cost for 20000 guests = $90000

So, Variable cost per sale would be

\dfrac{90000}{20000}\\\\=\$4.5

So, Cost function would be

4.5x+50000

Breakeven point would be

Cost function = Revenue function

6x+3000=4.5x+50000\\\\6x-4.5x=50000-3000\\\\1.5x=47000\\\\x=\dfrac{47000}{1.5}\\\\x=\$31333.33\\\\x=\$31333

Hence, Restaurant's monthly breakeven point in sales is $31333.

3 0
4 years ago
Evaluate:<br> 3.) |-12 | =
Viefleur [7K]

Answer:

12

Step-by-step explanation:

12

6 0
3 years ago
Read 2 more answers
X/5 + 7 = 16 X= answer​
Debora [2.8K]

Step-by-step explanation:

x/5 + 7 = 16

x/5 = 16 - 7

x/5 = 9

x = 9×5

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6 0
4 years ago
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