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3 years ago

Justify each step used to simplify the expression. 1. 3x+ 2y− 2x+ 2 = 3x− 2x+ 2y+ 2

Mathematics

1 answer:

Sergio [31]3 years ago

7 0

Step-by-step explanation:

We have to simplify the given expression:

1. 3x+2y-2x+23x+2y−2x+2

Combining the like terms,we get the second step as

2. (3x-2x)+(2y)+(2)(3x−2x)+(2y)+(2)

Now, taking 'x' common from the first two terms, we get third step as:

3. (3-2)x+2y+2(3−2)x+2y+2

Now, simplifying the expressions among the like terms, we get fourth step as:

4. x+2y+2x+2y+2

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sineoko [7]

Answer:

the daily fee =33 dollars

and the mileage charge.=0.35

Step-by-step explanation:

let d: be daily fee and m for mileage

cost of rental =(d*number of days)+ (m*number of mileage)

her first trip: 4d+440m=286

her second trip: 3d+190m=165.5

solve by addition and elimination

4d+440m=286 ⇒ multiply by 3 ⇒12d +1320m=(3)286

3d+190m=165.5⇒ multiply by 4⇒12d+190(4)m=4(165.5)

12d+1320m=858

12d+760m=662

subtract two equation to eliminate d

12d+1320m-12d-760m=858-662

560m=196

m=7/20=0.35 for on mileage

d: 4d+440m=286

4d=286-440(0.35)

d=(286-154)/4 33 dollars

8 0

4 years ago

QUICK!!!HELP!!!!!!!!!!!!!!!!!!

IgorLugansk [536]

Using the normal distribution, the probability that a worker selected at random makes between $500 and $550 is: 2.15%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean mu and standard deviation sigma is given by:

Z = (X - mu)/sigma

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given as follows:

mu = 400, sigma = 50

The probability is the <u>p-value of Z when X = 550 subtracted by the p-value of Z when X = 500</u>, hence:

X = 550:

Z = (X - mu)/sigma

Z = (550 - 400)/50

Z = 3

Z = 3 has a p-value of 0.9987.

X = 500:

Z = (X - mu)/sigma

Z = (500 - 400)/50

Z = 2

Z = 2 has a p-value of 0.9772.

0.9987 - 0.9772 = 0.0215 = 2.15% probability.

More can be learned about the normal distribution at brainly.com/question/15181104

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2 years ago

A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each ad

marishachu [46]

Answer: Line joining ordered pairs (0, 10) and (15, 0) and Shade the portion of the graph below this line which lies within the first quadrant.

Step-by-step explanation:

Here, The club charges $y an hour for each child and $x an hour for each adult.

And, according to the question,

In the family 3 children and 2 adults visited a health club such that the family does not want to spend more than $30 an hour at the health club.

That is, $2x + 3y\leq 30$

Which is the required inequality.

Since at origin, $2\times 0 + 3\times \leq 30$ (true)

That is, the inequality must contains the origin.

Therefore, shaded region will occur below the line.

Also, x-intercept of the given line is (15,0)

And, y-intercept of the given line is (0,10)

Thus the line will join the order pairs (15,0) and (0,10)

Also, $x\geq 0$ and $y\geq 0$ ( because charges can not be negative)

Therefore the shaded region will only contain the first quadrant.

6 0

4 years ago

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Ronch [10]

9/5 is the answer. Add 1/7 and 1/3 which equals 10/21. Then multiply on both sides by 21/10

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3 years ago

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olga55 [171]

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4 years ago

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