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2 years ago

10

A mixture of green paint contains 9 pounds of blue paint and 12 pounds of yellow paint to make the same shade of green paint usi

ng 21 pounds of blue paint how much yellow paint would you need

1 answer:

kari74 [83]2 years ago

4 0

I’m not too sure, I tried dividing 21 by 9 which then I got 2.3333 so then I multiplied that and 12 and got basically 28

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Given the trinomial, what is the value of the coefficient B in the factored form? 2x2 + 4xy − 48y2 = 2(x + By)(x − 4y) −12 12 −6

Sonja [21]

Answer:

B is 6.

Step-by-step explanation:

We are trying to find a value for $B$ such that:

$2x^2+4xy-48y^2=2(x+By)(x-4y)$ is true for every $x,y$ .

So let's choose $x=0,y=1$ :

$2(0)^2+4(0)(1)-48(1)^2=2(0+B(1))(0-4(1))$

$2(0)+0-48=2(B)(-4)$

$0-48=-8B$

$-48=-8B$

Divide both sides by -8:

$\frac{-48}{-8}=B$

$6=B$

$B=6$

Note: I didn't want to choose y to be 0 because the value of B would disappear from the equation. So you should be able to have chosen any x and y except for y=0 to solve the equation for B.

Check:

So let's check and use foil to multiply out the right hand side.

$(x+6y)(x-4y)$

$x(x)+x(-4y)+6y(x)+6y(-4y)$

$x^2-4xy+6xy-24y^2$

$x^2+2xy-24y^2$

There was a 2 in front of that multplicapltiation:

$2(x+6y)(x-4y)$

$2(x^2+2xy-24y^2)$

$2x^2+4xy-48y^2$

This is exactly what we have on the left hand side of your given equation.

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Which of these division problems have the same quotient as 12.3 divided by 0.4? Check all that apply.

Orlov [11]

Answer:

The answer is A and C

Step-by-step explanation:

The answer is A because 12.3 multiplied by 10 is 123, and 0.4 multiplied by 10 is 4.

12.3 * 10 = 123

0.4 * 10 = 4

So, this shows that this equation is the same as 12.3 divided by 0.4

The answer is C because 12.3 multiplied by 100 is equal to 1230, this is the same for 0.4

12.3 * 100 = 1230

0.4 * 100 = 40

So, the answer is both A and C.

Hope this helps! :)

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