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kobusy [5.1K]
3 years ago
7

If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?

Mathematics
1 answer:
yuradex [85]3 years ago
3 0
Y
y=ax
where a is a constant of proportionality;
y=20, x=4
20=4a
a=20/4
a=5
y=5x
The constant of variation is 5
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May I please have help from anyone thank you so much !
Vanyuwa [196]
You’re solving for the volume of the cylinder. so the way you would do this is the area of the base of the cylinder (pi times radius squared) which in this case would be 3.14 x 10^2 which is 314. you would then multiply by h, the height, which here is 10. 314 x 10 is 3140.
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the base of this solid crate has an area of 6 square centimeters the height of the crate is 4 meters what is the volume of the c
Tresset [83]
Area Of Cuboid = length*width*height

The length * width is the area of the base, so:

Area Of Cuboid = base*height = 6 * 4 = 24 meters^3
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3 years ago
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Which expressions are equivalent to 2(b+3c)?
Rina8888 [55]

Answer:

B. (b+3c)+(b+3c)

C. 2(b)+2(3c)

Step-by-step explanation:

we have

2(b+3c)

Distribute the number 2

2(b+3c)=2b+2(3c)=2b+6c

Verify each case

case A) 3(b+2c)

distribute the number 3

3(b+2c)=3b+3(2c)=3b+6c

3b+6c \neq 2b+6c

therefore

Choice A is not equivalent to the given expression

case B) (b+3c)+(b+3c)

Combine like terms

b+3c)+(b+3c)=(b+b)=(3c+3c)=2b+6c

2b+6c= 2b+6c

therefore

Choice B is equivalent to the given expression

case C) 2(b)+2(3c)

Multiply both terns by 2

2(b)+2(3c)=2b+6c

2b+6c= 2b+6c

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Choice C is equivalent to the given expression

6 0
3 years ago
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Please show all your work!!!
Alex73 [517]

Answer:

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Step-by-step explanation:

So for now lets bring it into mx + b format

Subtract 6x from both sides to isolate y which is also called subtraction property of equality.

so 5y = -6x -15

Now you divide both sides by 5 which is called division property of equality.

You now have y = -6/5x - 3

y= -6/5x -3 is the slope intercept form of the standard form equation of 6x + 5y = -15.

Hope this helps!

3 0
3 years ago
Let f(x) = -8x + 4 and g(x) = 3x2 + 5. Find f(7) + g(7) .
VMariaS [17]

Answer:

-7

Step-by-step explanation:

substitute both x's for 7:

(-8(7)+4)+ (3(7)2+5)

= -54 + 47

= -7

6 0
3 years ago
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