b minus 3/4 = 7/10
options:
(1.) 4x³ + 8x² - 5x + 12
(2.) -4x³ + 8x² - 5x + 12
(3.) 12 - 5x + 8x² - 4x³
(12.) - 4x³ + 8x² - 5x
Answer:
the answer is 10
Step-by-step explanation:
Answer: 10 slices
Step-by-step explanation:
10-2-3-1=4
4+6=10
Answer:
A, B and C
Step-by-step explanation:
In the equation: 3y=27x
Making y the subject of the equation, we have:
The constant of proportionality between y and x is 9.
We want to determine which relationships have the same constant of proportionality 9.
Option A
y=9x
The constant of proportionality is 9.
Option B
2y=18x
Divide both sides by 2 to obtain: y=9x
The constant of proportionality is 9.
Option C
x=3, y=1/3
Substitution into y=kx gives:
1/3=3k
k=9
The constant of proportionality is 9.
Option D
x=6, y=2/3
Substitution into y=kx gives:
2/3=6k
k=2/3*6=4
The constant of proportionality is 4.
Option E
When x=2, y=18
Substitution into y=kx gives:
18=2k
k=9
However, when x=4, y=27
Substitution into y=kx gives:
27=4k
k=6.75
This is not a proportional relation since the constant of proportionality is not equal.
The correct options are A, B and C
The Proportional relationships y = 9x, 2y = 18x, and y = (1/3)x have the same constant of proportionality as the equation 3y = 27x.
The equation 3y = 27x represents a proportional relationship between y and x with a constant of proportionality of 9. To determine which relationships have the same constant of proportionality, we can compare the ratios of y to x in the given options.
A) y = 9x: The ratio of y to x is 9, which is the same as the constant of proportionality in the original equation. So, this option has the same constant of proportionality.
B) 2y = 18x: Dividing both sides of the equation by 2, we get y = 9x, which has the same constant of proportionality. Therefore, this option also has the same constant of proportionality.
D) y = (1/3)x: The ratio of y to x is 1/3, which is different from the constant of proportionality in the original equation. Therefore, this option does not have the same constant of proportionality.
So, the correct answers are A) y = 9x, B) 2y = 18x, and D) y = (1/3)x.
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