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Zinaida [17]
4 years ago
5

Solve the Equation. 6x−3(x+8)=9 x=?

Mathematics
2 answers:
Darina [25.2K]4 years ago
7 0
First distribute -3 into the parenthesis. you will get 6x-3x-24=9. Then subtract 6x and 3x because they're like terms. you will get 3x -24=9. After that add 24 by both sides and get 3x=33. this step is easy just divide by both sides and you will get x.
Hunter-Best [27]4 years ago
3 0

Answer:

x = -5

Step-by-step explanation:

Simplifying

6x + -3(x + -8) = 9

Reorder the terms:

6x + -3(-8 + x) = 9

6x + (-8 * -3 + x * -3) = 9

6x + (24 + -3x) = 9

Reorder the terms:

24 + 6x + -3x = 9

Combine like terms: 6x + -3x = 3x

24 + 3x = 9

Solving

24 + 3x = 9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-24' to each side of the equation.

24 + -24 + 3x = 9 + -24

Combine like terms: 24 + -24 = 0

0 + 3x = 9 + -24

3x = 9 + -24

Combine like terms: 9 + -24 = -15

3x = -15

Divide each side by '3'.

x = -5

Hope this Helps

I hope this is correct


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What's 1/3 of 12?

Mulitply 1/3 times 12 = 4

Nita uses 4 eggs.
5 0
3 years ago
Find the exact value of sin (arccos (3/5)). For full credit, explain your reasoning.
zloy xaker [14]
The equation for cosine is <span><span><span>cos<span>(x)</span></span>=<span>Adjacent/Hypotenuse
</span></span></span>The inside trig function is <span><span>arccos<span>(<span>3/5</span>)</span></span></span>, which means <span><span><span>cos<span>(x)</span></span>=<span>3/5</span></span></span>. Comparing <span><span><span>cos<span>(x)</span></span>=<span>Adjacent/Hypotenuse</span></span></span> with <span><span><span>cos<span>(x)</span></span>=<span>3/5
</span></span></span>
Find <span><span>Adjacent=3</span></span> and <span><span>Hypotenuse=5.
</span></span>Then, using the Pythagorean theorem, find <span><span>Opposite=?
</span></span>a² = c² - b²
a² = 5² - 3² = 25 - 9 = 16
a = √16 = 4

<span><span>Adjacent=3</span></span><span><span>Opposite=4</span></span><span><span>Hypotenuse=5
</span></span><span>
Plug in the value for sin(x) = opposite/hypotenuse

sin(x) = 4/5 </span>
6 0
3 years ago
Oliver has 3 times as many rocks in his collection as Katie. Then Oliver collected 75 more rocks and Katie collected 105 more ro
Evgesh-ka [11]

Answer:

The answer to your question is Katie had 15 rocks and Oliver 45 rocks.

Step-by-step explanation:

Conditions

Katie has x amount of rocks

Oliver has 3x amount of rocks

The final amount of rocks

                                    Oliver = 3x + 75

                                     Katie = x + 105

Now, they have the same amount of rocks, then we can equal both equations

                                   3x + 75 = x + 105

Solve for x

                                     3x - x = 105 - 75

                                           2x = 30

                                             x = 30/2

                                             x = 15

Conclusions

At first Katie had 15 rocks and Oliver had 3(15) = 45 rocks

5 0
3 years ago
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Answer:

01–78

Step-by-step explanation:

Edge 2020/2021

3 0
3 years ago
Jim spins a spinner with colors red, blue, yellow, purple, green, and orange. Jim also flips a coin. What is the probability tha
S_A_V [24]
Probability=number of specific outcomes/total possible outcomes

And the probability of two events happening at the same time is P(1)*P(2), or the product of the probabilities of each event...

In this case:

P(primary color)=3/6=1/2

P(head)=1/2

P(primary and head)=(1/2)(1/2)=1/4
4 0
3 years ago
Read 2 more answers
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