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3 years ago

If y varies inversely as x, find the constant of variation if y= 3 when x = -2.

Mathematics

1 answer:

Karolina [17]3 years ago

5 0

Answer:-6

Step-by-step explanation:

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You now have entered the math zone

Ostrovityanka [42]

Answer:

12-12, it's a decrease so you subtract.

4 0

3 years ago

Read 2 more answers

If 2x + 5 = 8x, then 12x = ?A.5B.10C.15D.20

butalik [34]

<h2>Answer:</h2> $10.\text{ Option B is correct}$

<h2>Explanation:</h2>

Given the equation expressed as:

$2x+5=8x$

First, we need to calculate the value of "x" from the given expression.

Step 1: Given the equation 2x + 5 = 8x

Step 2: Subtract 5 from both sides:

$\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}$

Step 3: Subtract 8x from both sides

$\begin{gathered} 2x-8x=8x-8x-5 \\ -6x=\cancel{8x}-\cancel{8x}-5 \\ -6x=-5 \end{gathered}$

Step 4: Divide both sides by -6

$\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}$

Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:

$\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}$

Therefore the value of 12x is 10

3 0

9 months ago

Gabe Amodeo, a nuclear physicist, needs 60 liters of a 60% acid solution. He currently has a 50% solution and a 70% solution.

FromTheMoon [43]

Answer:

Gabe needs 20 liters of the 40% solution.

He also needs 40 liters of the 70% solution.

Step-by-step explanation:

Equation:

acid + acid = acid

0.40x + 0.70(60-x) = 0.60*60

40x + 70*60 - 70x = 60*60

-30x = -10*60

x = 20 liters

Gabe needs 20 liters of the 40% solution.

He also needs 40 liters of the 70% solution.

6 0

3 years ago

Which pair of triangles is congruent?

stiv31 [10]

Answer:

The first pair.

Step-by-step explanation:

3 corresponding parts must be congruent for two triangles to be congruent. The first pair has 3 congruence markings; two angles and one side are congruent. Additionally, they are congruent by the ASA postulate because two angles and the included side are congruent.

7 0

3 years ago

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In the city of Manhattan, it takes about 13 Starbucks to serve every 100,000 people. As of 2019, Manhattan has

astraxan [27]

Answer:

9.207

Step-by-step explanation:

To get the amount of starbucks for the population we can do

$\frac{13 * 1629000}{100000}$