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harkovskaia [24]
3 years ago
7

If -2x+5x+3=12, find the value of x-8

Mathematics
2 answers:
FromTheMoon [43]3 years ago
7 0

Answer:

-5

The Problem:

If -2x+5x+3=12, then the value of x-8 is ?

Step-by-step explanation:

Let's solve this for x:

-2x+5x+3=12

Combine like terms:

3x+3=12

Subtract 3 on both sides:

3x=12-3

Simplify:

3x=9

Divide both sides by 3:

x=\frac{9}{3}

Simplify:

x=3

So if x=3 then x-8=3-8=-5.

Mamont248 [21]3 years ago
7 0

Answer:

-5

Step-by-step explanation:

If you combine the like terms you would get 3x + 3= 12. Where u subtract 3 on each side, you would get 3x=9 and when you divide 3 on each side you would get x=3. To answer the problem, 3-8 would be -5.

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Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
inessss [21]

Answer:

(a). <em>y = 3x - 11 ;</em> (b). <em>y = </em>-\frac{1}{3}<em> x - 1 </em>

Step-by-step explanation:

Parallel lines have the same slopes

Slopes of perpendicular lines are opposite reciprocals.

(3, - 2)

The slope of given line is 3

<em>(a)</em>. Equation of ║ line is

y + 2 = 3(x - 3)

<em>y = 3x - 11</em>

<em>(b).</em> Slope of perpendicular line is -\frac{1}{3}

y + 2 = -\frac{1}{3} (x - 3)

<em>y = </em>-\frac{1}{3}<em> x - 1</em>

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Show a way to count from 668 to 900 using ones tens and hundreds
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Un motor de 90 kW se utiliza para elevar una carga de 1 200 kg. ¿Cuál es la velocidad media durante el ascenso?
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A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-s
Nitella [24]

Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

P_K=3P_T\\\\P_K-3P_T=0

Finally, we know that the sum of probablities has to be 1, or 100%.

P_Q+P_K+P_T=1

We can solve this by sustitution:

P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

P_K+P_Q=0.6+0.2=0.8

8 0
4 years ago
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