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VLD [36.1K]
3 years ago
15

Evaluate the expression 4(2x + 3) + 2(x + 1)-7

Mathematics
1 answer:
Svetlanka [38]3 years ago
4 0
4 (2x + 3) + 2 (x + 1) - 7

8x + 12 + 2x +  2 - 7

10x + 7

10x = -7
10x/10 = -7/10

x = -7/10

hope this helps


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Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. How many cups, x,
siniylev [52]

Answer:

18 cups.

Step-by-step explanation:

We are given that Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. Inequality that represents this situation: 20\leq 1.50x-6.50.

To find number of cups x to make a profit of at least  $20 we will use our given inequality.

20\leq 1.50x-6.50

20+6.50\leq 1.50x

26.50\leq 1.50x

x\geq \frac{26.50}{1.50}

x\geq \frac{53}{3}

x\geq 17.6666666

Therefore, in order to make a profit of at least $20 Bernie need to sell 18 cups of lemonade.

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3 years ago
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The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ>0 . What is t
Nikitich [7]

Answer:

\frac{-1}{\sqrt{17} }

Step-by-step explanation

We have given that equation of line a+4b=0

⇒4b= -a

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slope of line = tan\theta =\frac{P}{B}= \frac{-1}{4}

⇒ tan\theta is negative therefore it lies into 4th quadrant

By, Pythagoras theorem H^2=P^2+B^2

by putting value of P= -1 & B=4

the value of H=\sqrt{17}

with the given condition cos\theta>0

i.e. \theta∈ (3π/2, 2π)

now, sin\theta= \frac{P}{H}= \frac{-1}{\sqrt{17}}



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