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andre [41]
3 years ago
10

8. Fill in the missing reasons (one for each step).

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
8 0

Answer:

The answer would be B) 15-6y=27

Step-by-step explanation:

Pull out like factors :

 -12 - 6y  =   -6 • (y + 2)

Solve  :    y+2 = 0  

Subtract  2  from both sides of the equation :  

y = -2

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One hundred and four
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A countrys people consume 6.7 billion pounds of candy per year. Express this quantity in terms of pounds per month. Note that th
Vanyuwa [196]
The answer is 2 candies per person per month

(1) Find the amount of candy consumed <span>per person per year:
6 700 000 000 </span>÷ 305 000 000 = 21.97 candies per person per year

(2) Find the amount of candy consumed per person per month:
1 year has 12 months.
21.97 candy per person per year ÷ 12 = 1.83 ≈ 2 candies per person per month
8 0
3 years ago
Prove that 1+cosA/sinA + sinA/1+cosA=2cosecA
Alla [95]
\frac{1+cos\alpha}{sin\alpha}+\frac{sin\alpha}{1+cos\alpha}=2cosec\alpha\\\\L=\frac{(1+cos\alpha)(1+cos\alpha)+sin\alpha\cdot sin\alpha}{sin\alpha(1+cos\alpha)}=\frac{1+2cos\alpha+cos^2\alpha+sin^2\alpha}{sin\alpha(1+cos\alpha)}\\\\=\frac{1+2cos\alpha+1}{sin\alpha(1+cos\alpha)}=\frac{2+2cos\alpha}{sin\alpha(1+cos\alpha)}=\frac{2(1+cos\alpha)}{sin\alpha(1+cos\alpha)}\\\\=\frac{2}{sin\alpha}=2\cdot\frac{1}{sin\alpha}=2cosec\alpha=R
5 0
3 years ago
What’s (3x86)+(9538+629)
lara [203]

(3x86)+(9,538+629) = 10,425

Hope this helps


5 0
3 years ago
An oil tanker breaks apart and starts leaking. As time goes on, the rate at which the oil is leaking out will diminish. Suppose
Alborosie

Answer:

62.77 million gallons

Step-by-step explanation:

Given,

The function that shows rate of leaking oil per minute in after t hours,

R(t) = \frac{0.7}{1+t^2}

∵ 1 hour = 60 minutes ⇒ 3 hours = 180 minutes,

Hence, the quantity of oil leaked out in the first 3 hours,

V(t) = \int_{0}^{180} R(t) dt

=\int_{0}^{180} \frac{0.7}{1+t^2} dt

=0.7 \int_{0}^{180} \frac{dt}{1+t^2}

=0.7[tan^{-1}(t)]_{0}^{180}

=0.7(tan^{-1}(180) - tan^{-1} (0))

=0.7(89.68)

= 62.77 million gallons

5 0
3 years ago
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