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Inessa [10]
3 years ago
10

What is the minimum number of students, each of whom comes from one of the 50 states, who must be enrolled in a university to gu

arantee that there are at least 100 who come from the same state?.
Mathematics
1 answer:
Brrunno [24]3 years ago
3 0

Answer:

Minimum number of student is 4951

Step-by-step explanation:

4950 wont work because there are 99 student in each state

99 *50 =4950

there are 100 students comes from same state. So from pigeon hole principle there are at least [ 4951/50] = 100 come from state

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What are the coordinates of the point on the directed line segment from
ziro4ka [17]

Answer:

The desired point is thus (-1/2, -5).

Step-by-step explanation:

The x-component of this directed line segment is 2 - (-8), or 10, and the y-component is -7 - (1), or -8.  This segment is in Quadrant II, since the x-component is positive and the y-component is negative.

The point of interest is (3/4) of the way in the positive x-direction from x = -8.  We can express this symbolically as -8 + (3/4)(10), or -8 + 7.5, or -1/2.

The point of interest is 3/4 of the way in the negative y direction from 1, or:

1 + (3/4)(-8), or 1 - 6, or -5.

The desired point is thus (-1/2, -5).

3 0
3 years ago
IS 0.1369 per ounce how many is this cost to the nearest cent
Oksi-84 [34.3K]

$ 0.1369 to the nearest cent ( aka hundredth decimal place) would be $ 0.14

6 0
3 years ago
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 <u>system of equations</u>:

\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 <u>sum to zero</u>.  To do this, the chosen variable must have the <u>same coefficient</u>, but it should be <u>negative</u> in one equation and <u>positive</u> in the other, so that when the two equations are added together, the variable is <u>eliminated</u>.

<u>To eliminate the </u><u>variable y</u>:

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 <u>eliminate y</u>:

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

<u>Solve</u> for x:

\implies -6x=9

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

<u>Substitute</u> the found value of x into one of the equations and <u>solve for y</u>:

\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:

brainly.com/question/27868564

brainly.com/question/27520807

3 0
2 years ago
Read 2 more answers
Is this answer correct ?
Sever21 [200]
Yes you are correct!
6 0
4 years ago
Read 2 more answers
HELP IM STUCK !!!!!!!!!!
kramer

Answer: oof thats a hard one ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

3 0
3 years ago
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