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Naddika [18.5K]
3 years ago
10

Any answers for this

Mathematics
1 answer:
ki77a [65]3 years ago
3 0
Equation: 3(2y+4)=4(2y-1/2)
Multiply: 6y+12=8y-2
Combine like terms: 14=2y
Solve: Y=7 :)
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Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (k) is described by the following expression:

k = \frac{y}{x} (1)

Where:

x - Input.

y - Output.

If we know that (x_{1}, y_{1}) = (13, 45.5), (x_{2}, y_{2}) = (14, 49) and (x_{3}, y_{3}) = (15, 52.5), then the constants of proportionalities of each ordered pair are, respectively:

k_{1} = \frac{y_{1}}{x_{1}}

k_{1} = \frac{45.5}{13}

k_{1} = \frac{7}{2}

k_{2} = \frac{y_2}{x_2}

k_{2} = \frac{49}{14}

k_{2} = \frac{7}{2}

k_{3} = \frac{y_{3}}{x_{3}}

k_{3} = \frac{52.5}{15}

k_{3} = \frac{7}{2}

Since k_{1} = k_{2} = k_{3}, the constant of proportionality is 3.5.

8 0
3 years ago
What is the product?<br> (3a^2b^4) (-8ab^3)
sladkih [1.3K]

Answer:

-24a^3b^7

Step-by-step explanation:

(3a^2b^4)(-8ab^3)       Original equation

-24a^3b^7                    You have to multiply the coefficients, but because of

the power rule, you have to add the exponents with each other.

Hope this helps!

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3 years ago
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Sharing with three friends:
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Sharing with little brother:
1/12 of original pie
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$4,950 will be paid after 3 years.
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6 0
4 years ago
11 1/2f = 103 1/2 find the value of f
nekit [7.7K]

Answer:

Step-by-step explanation:

F is 10

5 0
3 years ago
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