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2 years ago

Which of the following numbers is prime?

Mathematics

2 answers:

sattari [20]2 years ago

6 0

163 is a prime number because it has no multiples other then one and itself

UkoKoshka [18]2 years ago

3 0

133 can be divided by 7, so it is not prime.

143 can be divided by 11, so it is not prime.

153 can be divided by 3, so it is not prime.

163 can only be divided by 1 and itself, so it is prime.

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In order to solve the following system of equations by addition, which of the

Pavlova-9 [17]

Answer:

Multiply the top equation by -3 and the bottom equation by 2

Step-by-step explanation:

Given system of equations:

$\begin{cases}4x-2y=7\\3x-3y=15 \end{cases}$

To solve the given system of equations by addition, make one of the variables in both equations sum to zero. To do this, the chosen variable must have the same coefficient, but it should be negative in one equation and positive in the other, so that when the two equations are added together, the variable is eliminated.

To eliminate the variable y:

Multiply the top equation by -3 to make the coefficient of the y variable 6:

$\implies -3(4x-2y=7) \implies -12x+6y=-21$

Multiply the bottom equation by 2 to make the coefficient of the y variable -6:

$\implies 2(3x-3y=15) \implies 6x-6y=30$

Add the two equations together to eliminate y:

$\begin{array}{l r r}& -12x+6y= &-21\\+ & 6x-6y= & 30\\\cline{1-3}& -6x\phantom{))))))} = & 9\end{array}$

Solve for x:

$\implies -6x=9$

$\implies x=-\dfrac{9}{6}=-\dfrac{3}{2}$

Substitute the found value of x into one of the equations and solve for y:

$\implies 3\left(-\dfrac{3}{2}\right)-3y=15$

$\implies -\dfrac{9}{2}-3y=15$

$\implies -3y=\dfrac{39}{2}$

$\implies y=-\dfrac{39}{2 \cdot 3}$

$\implies y=-\dfrac{13}{2}$

Learn more about systems of equations here:

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3 0

1 year ago

Read 2 more answers

What do the medians and ranges of two dot plots tell you about the data

Tatiana [17]

That both (along with the mean) help the data be described the data's spread, which can be the slope if only two points.

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2 years ago

Which of the following is the best graph of the point below

Svet_ta [14]

There’s no graph belowww

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2 years ago

Christel wants to know what the most popular color at her school is. She surveys students grades 1,2,3.

shutvik [7]

Answer:

It will be biased.

Step-by-step explanation:

By surveying only grades 1, 2, and 3, she is not taking a representation of the entire school. It is possible that the popular color or the color the students like would change over time and the opinion of the younger kids could be different from that of the older kids. Therefore, the sample is biased unless she surveys students from all grades.

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2 years ago

What do the differences between the equation of a

EastWind [94]

Answer:

it tells u what color

Step-by-step explanation:

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2 years ago