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zhenek [66]
3 years ago
11

Solve the proportion for the variable given. 4/v+10 - 6/v+6

Mathematics
1 answer:
belka [17]3 years ago
7 0

The\ domain:\\v+10\neq0\ \wedge\ v+6\neq0\\v\neq-10\ \wedge\ v\neq-6\\\\\dfrac{4}{v+10}=\dfrac{6}{v+6}\ \ \ \ \ |\text{cross multiply}\\\\4(v+6)=6(v+10)\ \ \ \ |\text{use distributive property}\\\\(4)(v)+(4)(6)=(6)(v)+(6)(10)\\\\4v+24=6v+60\ \ \ \ \ |\text{subtract 24 from both sides}\\\\4v=6v+36\ \ \ \ |\text{subtract 6v from both sides}\\\\-2v=36\ \ \ \ |\text{divide both sides by (-2)}\\\\\boxed{v=-18}\in D

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Aliun [14]

Answer:

1) The linear equation in point and slope form is y - 67 = -4 × (x - 14)

2) The variables are;

a) The number of candies available = y

b) The number of days Jennifer eats the candies =

c) The slope, m = -4

3) Jennifer received 123 pieces of candies on Halloween

Step-by-step explanation:

The given parameters are;

The number of candies Jennifer eats everyday = 4 pieces

The number of days for which Jennifer eats the daily 4 candies = 14

The number of candies left at the end of the 14th day = 67 candies

1) We note that the rate of decrease in the number of candies = 4 candies/day

Therefore, the slope of the linear equation is m = -4

The y-intercept = The initial amount of candies Jennifer has = c = 67 + 14× 4 = 123 candies

The linear equation in point and slope form is given as follows;

y - 67 = -4 × (x - 14)

2) The variables are;

a) The y-value represents the number of candies available on a specific day

b) The x value represents the number of days Jennifer eats the candies'

c) The slope = The rate of decrease in the number of candies per day = -4

3) The number of candies Jennifer receives on Halloween is given by the y-intercept of the straight line equation as follows;

y - 67 = -4 × (x - 14)

y - 67 = -4·x + 56

y = -4·x + 56 + 67 = -4·x + 123

y = -4·x + 123

Comparing the above equation, with the general form of the straight line equation, y = m·x + c, where, the constant term, c = The y-intercept, we have;

The y-intercept of the equation y = -4·x + 123 = 123 = The initial amount of candies Jennifer received on Halloween.

6 0
3 years ago
15 - 1/2 x 2 equals 14, but i dont know the steps
zloy xaker [14]
Remember PEMDAS - parentheses, exponents, multiply, divide, add, subtract

because multiply come before subtract, your first step would be 1/2 x 2 = 1

next, you subtract -> 15 - 1 = 14

14 is your answer
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2 years ago
NEED HELP ASAP WILL MARK BRANLIEST!!!!!!
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The heck, what math are you in?
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3 years ago
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