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4 years ago

Use the distributive property to create an equivalent expression to 54+18x

2 answers:

7 0

18(x+3)

Just take out 18 from each term to get a binomial. Multiply what you factored out, 18, by the remaining binomial.

Anastaziya [24]4 years ago

5 0

Answer:

An equivalent expression to 54+18x, using the distributive property is 18(3+x)

Step-by-step explanation:

In the problem we have the binomial (54+18x), and we are asked to use the distributive property, this means that we can find a factor wich is distributed in both terms of the binomial.

We know that any number, or in this case any polinomial (or binomial), can be multiplied times 1 and will stay the same number, and we only need to write this 1 in a way that could resolve our problem, in particular we can say that

$1=\frac{18}{18}$

then we can distribute the denominator, so we calculate:

$(54+18x)=1(54+18x)=\frac{18}{18}(54+18x)=18(\frac{54}{18}+\frac{18x}{18})=18(3+x)$

And the equivalent expression to (54+18x) is 18(3+x).

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topjm [15]

Answer:

B is your answer

Step-by-step explanation:

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3 years ago

Read 2 more answers

A sample of blood pressure measurements is taken for a group of adults, and those values (mm Hg) are listed below. The values ar

Kobotan [32]

Answer:

The coefficient of variation for the systolic measurements is 12.8 %

The coefficient of variation for the diastolic measurements is 16.3 %

Therefore, we can conclude that the systolic measurements are less dispersed as compared to diastolic measurements.

Step-by-step explanation:

The coefficient of variation is the ratio of standard deviation of the data to the mean of the data. It shows the dispersion in the data set.

Coefficient of variation for the systolic measurements:

Mean = μ = (120 + 128 + 156 + 98 + 154 + 122 + 118 + 136 + 128 + 120)/10

Mean = μ = 1280/10

Mean = μ = 128

Standard deviation = σ = $\sqrt{\frac{1}{N}\sum_ (x-\mu)^{2} }$

Using excel the standard deviation is found to be

Standard deviation = σ = 16.4

Coefficient of variation = σ/μ

Coefficient of variation = 16.4/128

Coefficient of variation = 0.128

Coefficient of variation = 12.8%

Coefficient of variation for the Diastolic measurements:

Mean = μ = (79 + 76 + 75 + 51 + 92 + 87 + 59 + 64 + 72 + 81)/10

Mean = μ = 736/10

Mean = μ = 73.6

Standard deviation = σ = $\sqrt{\frac{1}{N}\sum_ (x-\mu)^{2} }$

Using excel the standard deviation is found to be

Standard deviation = σ = 12

Coefficient of variation = σ/μ

Coefficient of variation = 12/73.6

Coefficient of variation = 0.163

Coefficient of variation = 16.3%

Conclusion:

We can conclude that the systolic measurements (12.8%) are less dispersed as compared to diastolic measurements (16.3%).

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3 years ago

Samantha's water bottle holds 4 cups of water. How many times can she fill her water bottle from a 1-gallon jug of water?

Reptile [31]

Answer:

4 times

Step-by-step explanation:

1. 16 cups in a gallon

2. 16 total cups divided by 4 available cups in water bottle equals 4 times

6 0

3 years ago

Is it possible to arrange 152 books on a shelf so that the first shelf has 7 fewer books than the second shelf and 11 more than

Zepler [3.9K]

Using a system of equations, it is found that since the solution of the system does not involve decimal numbers, it is possible to arrange the books in this way.

For the system, we consider that:

x is the number of books on the first shelf.

y is the number of books on the second shelf.

z is the number of books on the third shelf.

In total, there are 152 books, hence:

$x + y + z = 152$

The first shelf has 7 fewer books than the second shelf, hence:

$x = y - 7$

Also, it has 11 more books than the third shelf, hence:

$x = z + 11$

Then:

$y - 7 = z + 11$

$z = y - 18$

Then, replacing in the first equation:

$x + y + z = 152$

$y - 7 + y + y - 18 = 152$

$3y = 177$

$y = \frac{177}{3}$

$y = 59$

The number of books in each shelf has to be countable, that is, cannot be decimal.

Then, since the solution of the system does not involve decimal numbers, it is possible to arrange the books in this way.

To learn more about system of equations, you can take a look at brainly.com/question/14183076

7 0

2 years ago

A bag has 144 beads. One third of the beads are black, and one quarter of these beads purple. How many beads are not black or pu

Blababa [14]

Answer: 60

Step-by-step explanation:

144 beads divided by 3 would equal how many black beads there are, which is 48. 144 beads divided by 4 would be how many purple beads there are. which is 36. You would add the black beads and the purple beads, or 36 + 48, to get the total of both. 36 + 48 = 84. You would take the 144 beads total minus the 84 black and purple beads, which is 60.

3 0

3 years ago