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WITCHER [35]
3 years ago
8

Drew has 50 red,green,and blue marbles. he has six more red marbles than blue marbles and four fewer green marbles than blue mar

bles write and solve an equation to determine how many blue marbles drew has.
Mathematics
1 answer:
astraxan [27]3 years ago
3 0

Red = r

Blue = b

Green = g


Step 1: Write as algebraic equations.

r = b + 6

g = b - 4


Step 2: Merge the two equations together to form one, by adding them together.

r + g = b + b + 6 - 4


Step 3: Simplify.

r + g = 2b + 2


Step 4: Make b the subject.

2b + 2 = r + g

2b = r + g - 2

b = 0.5(r + g - 2)


ANSWER

b = 0.5(r + g - 2)

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Form an equation. Start by representing the number you want to find as X. Now add 1.
X + 1
Now we need to triple it. That basically means multiply X+1 by 3. You can write that as:
3 (X + 1)
Now we write out that the result is 17 more than the number we want to find. So set an equals sign up
3 (X + 1) =
And now write X + 17
3 (X + 1) = X + 17

Now we solve for X.
Firstly, let's get rid of the X on the right.
Remember, if we want to get rid of a number of variable on one side, we need to use opposites, and do the same to the other side of the equation.
In this case, we have a positive X on the right. To get rid of that, we subtract X from both sides. This will leave us with:
2x + 3 = 17
Now let's get rid of the +3 on the left. To do this, we subtract 3 from both sides of the equation.
2x = 17 - 3
2x = 14
Now we just need to get X by itself. The 2 in front of the X multiplies X by 2. Therefore, to get X on its own, we need to divide 2x by 2, which just gives us 2.
We also need to divide the other side by 2, because if we do something on one side, we need to do something on the other too. So divide 14 by 2, and we get 7.
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But before we celebrate, let's double check the answer. Add 1 to 7. This gives us 8. Triple 8. This is 24. This should be 17 more than 7. So go, 24 - 17. And whaddya know - it's 7!

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Answer:

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Step-by-step explanation:

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9514 1404 393

Answer:

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Step-by-step explanation:

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If we assume you want the values of r that satisfy the equation, the zero product property tells you they will be the values that make the factors zero.

The factors are r and (r+7).

The factor r is zero when ...

  r = 0

The factor (r+7) is zero when ...

  r +7 = 0   ⇒   r = -7

The "x-intercepts" are r=0 and r=-7.

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