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3 years ago

If x = 10 and x +2y = 200.find x if 2y - 50 = x

Mathematics

1 answer:

Setler79 [48]3 years ago

7 0

Answer:

y = 30

Step-by-step explanation:

2y - 50 = 10

Move all terms not containing y to the right side of the equation.

Add 50 to both sides.

2y = 10 + 50

Add 10 and 60

2y = 60

Divide each term by 2 and simplify.

Divide each term in 2y = 60 by 2.

$\frac{2y}{2} =\frac{60}{2}$

Cancel the common factor.

$y=\frac{60}{2}$

Divide 60 by 2.

y = 30

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3 years ago

Find point P that divides segments AB into a 2:3 ratio.

nasty-shy [4]

$\bf ~~~~~~~~~~~~\textit{internal division of a line segment}
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A(-3,1)\qquad B(3,5)\qquad
\qquad \stackrel{\textit{ratio from A to B}}{2:3}
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\cfrac{A\underline{P}}{\underline{P} B} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(-3,1)=2(3,5)\\\\
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6 0

3 years ago

Suppose you are making granola bars with 3 cups of oats. How much quinoa, flaxseed, and soy protein would you use would you need

Andreas93 [3]

Answer: $\frac{3}{4}\ cup$ of quinoa, $\frac{3}{8}\ cup$ of flaxseed, $1\ cup$ of soy protein.

Step-by-step explanation:

<h3> The missing table is attached.</h3>

Let be "q" the amount of cups of quinoa you'd need to use making the granolas with 3 cups of oats.

Based on the table you can write the following proportion:

$\frac{\frac{1}{2} }{2}=\frac{q}{3}$

Solving for "q", you get:

$\frac{1}{4}=\frac{q}{3}\\\\q=\frac{3}{4}$

Let be "f" the amount of cups of flaxseed you'd need to use making the granolas with 3 cups of oats.

With the data given in the table you can write the following proportion:

$\frac{\frac{1}{4} }{2}=\frac{f}{3}$

Solving for "f", you get:

$\frac{1}{8}=\frac{f}{3}\\\\f=\frac{3}{8}$

Let be "s" the amount of cups of soy protein you'd need to use making the granolas with 3 cups of oats.

Using the table you can write this proportion:

$\frac{\frac{2}{3} }{2}=\frac{s}{3}$

Solving for "s", you get:

$\frac{1}{3}=\frac{s}{3}\\\\s=1$

6 0

3 years ago

Solve for x.<br> -6x = -18

marta [7]

Answer:

Step-by-step explanation:

The goal is to get the x to be on one side of the equation on its own.

-6x = -18

To get rid of the -6, we would have to do the opposite of what it's doing in the equation - in this case, we would divide, as it's the opposite of multiplying.

What we do to one side of the equation, we have to do to the other.

-6x/-6 = x

-18/-6 = 3

x = 3

Hope that makes sense!

3 0

3 years ago

Read 2 more answers

Do you know the answer to this question

kozerog [31]

The correct answer is: [C]: " f(x) = log₃ (x - 3) " .
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3 0

4 years ago

If x = 10 and x +2y = 200.find x if 2y - 50 = x​

If x = 10 and x +2y = 200.find x if 2y - 50 = x