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3 years ago

Linear Equations. Solve the equation 5 = 3y +6 using inverse operations.

Mathematics

1 answer:

agasfer [191]3 years ago

4 0

Answer:

The value of $y=\frac{-1}{3}$ .

Step-by-step explanation:

Considering the equation

$5 = 3y +6$

To solve the equation $5 = 3y +6$ using inverse operations,

Subtracting 6 on both sides of the equation,

$5-6 = 3y +6-6$

Simplifying,

$-1 = 3y$

Dividing both sides by 3

$\frac{-1}{3} =\frac{3y}{3}$

$\frac{-1}{3} =y$

Switching both sides

$y=\frac{-1}{3}$

Therefore, the value of $y=\frac{-1}{3}$ .

Keywords: equation, inverse operations

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Hi I'm back with more Solving Problems Involving Proportional Relationships because we usually do word problems;

Bingel [31]

Answer:

1) 4 wild cards

2) 51.5 bones, rounded up to 52 bones

3) 72 blue balls.

Step-by-step explanation:

1) For every 18 cards in the game, there is 1 wild card.

For 72 cards in the game, there are 72/18 * 1 = 4 wild cards.

2) For every 4 bones, 1 is in the feet.

For 206 bones, 206/4 * 1 = 51.5 are in the feet. Though, you can't have half a bone, so I'd round it up to 52 bones in the feet.

3) For every 6 + 5 = 11 balls, there are 6 blue and 5 red.

For every 132 balls, there are 132/11 * 6 = 72 blue and 132/11 * 5 = 60 red.

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3 years ago

How can Sue use the converse of the Pythagorean Theorem to find out if a triangle with side lengths 28, 53, and 45 is a right tr

timama [110]

Answer:

Step-by-step explanation:

28²+45²=53²

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3 years ago

A thermometer is taken from an inside room to the outside, where the air temperature is 20° f. after 1 minute the thermometer re

fomenos

The change in the temperature is proportional to the difference in temperatures. Let's call the initial temperature of the room and the thermometer $E_0$ and the current temperature $E(t)$ where $t$ is the elapsed time in minutes. The outside temperature is 20 F.

Newton's Law of Cooling:

$E(t) - 20 = (E_0 - 20) e^{- k t}$

We're given $E(1)=70 \textrm{ and } E(5)=45$

$70-20 = (E_0 - 20) e^{-k}$

$45-20 =(E_0 - 20) e^{-5k}$

Dividing,

$\dfrac{50}{25}=e^{4k}$

$k = \dfrac 1 4 \ln 2$

Now,

$E(t) - 20 = (E_0 - 20) e^{- k t}$

$E_0 = 20 + (E(t) - 20)e^{k t}$

$E_0 = 20 + (E(1) - 20)e^{k}$

$E_0 = 20 + (70 - 20)e^{\ln 2/4}$

$E_0 = 20 + 50 \cdot 2^{1/4} \approx 79.46 \textrm{ degrees F}$

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4 years ago

Which of the following is equal to (2x/3 - 7) + 7?. A. (2x - 7) + 21. B. 2x - 21/3. C. 3x/2. D. 2x/3.

Setler79 [48]

For this case we have the following expression:

$(\frac{2x}{3} - 7) + 7$