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Zina [86]
2 years ago
5

What is the reason for each step in the solution of the inequality? −2(x+3)−4>4x+30 Select the reason for each step from the

drop-down menus.
Mathematics
2 answers:
diamong [38]2 years ago
7 0
The first blank is Distributive Property.
The second blank is Combine like terms.
The third blank is Addition Property of Order
algol132 years ago
3 0

Answer:

Solution for given inequality:

x \in \bigg(-\infty, \displaystyle\frac{-40}{6}\bigg)      

Step-by-step explanation:

We are given the following information in the question:

We have to solve an inequality:

-2(x+3)-4 > 4x+30

The steps can be explained as:

1. First multiplying all the terms and solving the bracket.

-2(x+3)-4 > 4x+30\\-2x -6-4>4x+30

2. Taking all the like terms on one side of equation.

-2x -6-4>4x+30\\-10 -30 > 4x + 2x

3. Adding and subtracting the like term.

-10 -30 > 4x + 2x\\6x < -40

4. Solving for x

x < \displaystyle\frac{-40}{6}\\\\x < \frac{-40}{6}\\x \in \bigg(-\infty, \frac{-40}{6}\bigg)

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A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are
kondor19780726 [428]

Answer: The number of different combinations of 2 vegetables are possible = 15 .

Step-by-step explanation:

In Mathematics , the number of combinations of selecting r values out of n values = ^nC_r=\dfrac{n!}{r!(n-r)!}

Given : Number of available vegetables = 6

Then, the number of different combinations of 2 vegetables are possible will be :

^6C_2=\dfrac{6!}{2!(6-2)!}=\dfrac{6\times5\times4!}{2\times4!}=15

Hence , the number of different combinations of 2 vegetables are possible = 15 .

5 0
2 years ago
Danny's truck has a fuel tank with a capacity of 20 gallons of gas. The truck averages 17 miles per gallon of gas. The function
musickatia [10]
The domain is ur x values.....it is 0 < = g < = 20
ur range is ur M(g) values....its 0 < = M(g) < = 340
5 0
2 years ago
Read 2 more answers
Sara is the recipient of a trust that will pay her $500 on the first day of each month, starting immediately and continuing for
shusha [124]

Answer:

The value of this inheritance is $78,192.28

Step-by-step explanation:

The monthly payments Sara will receive  starting today for next 40 years is $500.

Annual Interest Rate = 7.3%

Monthly Interest Rate = Annual Interest Rate/12

                                    =7.3/12

Monthly Interest Rate = 0.6083%

Present Value = $500 + $500/1.006083 + $500/1.006083^2 + $500/1.006083^3 + ... + $500/1.006083^479

Present Value = $500 * 1.006083 * (1 - (1/1.006083)^480) / 0.006083

Present Value = $500 * 156.39156

Present Value = $78,192.28

Thus, the value of this inheritance is $78,192.28

3 0
2 years ago
A supervisor records the repair cost for 17 randomly selected stereos. A sample mean of $66.34 and standard deviation of $15.22
expeople1 [14]

Answer:

Critical value: T = 1.337

The 80% confidence interval for the mean repair cost for the stereos is between $45.991 and $86.689

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 17 - 1 = 16

80% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.8}{2} = 0.9. So we have T = 1.337, which is the critical value

The margin of error is:

M = T*s = 1.337*15.22 = 20.349

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 66.34 - 20.349 = $45.991

The upper end of the interval is the sample mean added to M. So it is 66.34 + 20.349 = $86.689

The 80% confidence interval for the mean repair cost for the stereos is between $45.991 and $86.689

3 0
2 years ago
Two identical decks of 52 cards are mixed together, yielding a stack of 104 cards. How many different ways are there to order th
kumpel [21]

Answer:

here the order will be 104! =1.029e^{166}

Step-by-step explanation:

since the cards are to arranged in  no particular order that is why we used combination to find the result.

Combination can simply be explained as the method of selecting items from a collection of items where the order of the selections does not matter.

7 0
2 years ago
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