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3 years ago

Rewrite in simplest terms: (3x + 2) + (-10x – 3)

Mathematics

1 answer:

Andre45 [30]3 years ago

8 0

Answer:

$\boxed {\tt -7x-1}$

Step-by-step explanation:

We are given the expression:

$(3x+2)+(-10x-3)$

Combine like terms.

The terms with variables can be combined, then the terms without variables (constants) can be combined.

$(3x+-10x)+(2+-3)$

$(3x-10x)+(2-3)$

Subtract 10x from 3x.

$(-7x)+(2-3)$

Subtract 3 from 2.

$(-7x)+(-1)$

$-7x-1$

The simplified expression is -7x-1

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How do you find theoretical probability?

shepuryov [24]

Step-by-step explanation:

<h2>Theoretical Probability Definition</h2>

Theoretical probability is the theory behind probability. To find the probability of an event using theoretical probability, it is not required to conduct an experiment. Instead of that, we should know about the situation to find the probability of an event occurring. The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes.

<h3>Find the probability of rolling a 5 on a fair die</h3>

Solution: 

To find the probability of getting 5 while rolling a die, an experiment is not needed. We know that there are 6 possible outcomes when rolling a die. They are 1, 2, 3, 4, 5, 6.Therefore, the probability is,Probability of Event P(E) = No. of. Favourable outcomes/ No. of. Possible outcomes.P(E) = 1/6.Hence, the probability of getting 5 while rolling a fair die is 1/6.

I hope it helps

4 0

3 years ago

Christine used 12 cubes to make this 3-step staircase. If she uses a total of 56 cubes to make a similar staircase, how many ste

pochemuha

12/4= 3
56/4=14
So dividing 56 by 4 will give you your answer, which is 14

3 0

3 years ago

Read 2 more answers

Flight 202's arrival time is normally distributed with a mean arrival time of 6:30 p.m. and a standard deviation of 15 minutes.

natta225 [31]

Answer:

The probability is 0.0015

Step-by-step explanation:

We know that the mean $\mu$ is:

$\mu=6:30\ p.m$

The standard deviation $\sigma$ is:

$\sigma=0:15\ minutes$

The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

We seek to find

$P(x>7:15\ p.m.)$

The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

$Z=\frac{7:15-6:30}{0:15}$

$Z=\frac{0:45}{0:15}$

$Z=3$

The score of Z = 3 means that 7:15 p.m. is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x>7:15\ p.m.)=P(Z>3)=0.0015$

3 0

3 years ago

How do you simplify 48/200

Kipish [7]

Answer:

6/25

Step-by-step explanation:

all you need to do is to look for common factors of both the numerator and the denominator and you keep on breaking it down

3 0

2 years ago

Please help me, I'm suffering from all of these parallel lines ;9

Anarel [89]

Answer:

1. y = 4x - 27

2. y = -4x - 15

Step-by-step explanation:

If two lines are parallel, then they have the same slope. So, the slope of the line we are looking for needs to be 4. We can start by writing a point-slope equation:

y - y1 = m(x - x1)

We can substitute the values we have, the point we are using is (8, 5) because it needs to be on the line:

y - 5 = 4(x - 8)

We can distribute:

y - 5 = 4x - 32

y = 4x - 27

We are not given the slope-intercept form, so we must divide both sides by two to get it:

y = 1/4 x + 8

A perpendicular line has the slope that is the negative reciprocal of the one that is given. So, the slope of the line would be - 4. We can start by writing a point-slope equation:

y - y1 = m(x - x1)

We can substitute the values we have, the point we are using is (-5, 5) because it needs to be on the line:

y - 5 = -4(x + 5)

We can distribute:

y - 5 = -4x - 20

y = -4x - 15

6 0

3 years ago