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SOVA2 [1]
3 years ago
9

Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert. In each arrangement below, the fi

rst initial of each person's name represents that person's position as he or she boards the bus: first, second, third, and fourth. If we know that Karen boards the bus first, which shows the possible outcomes for this event?
Mathematics
2 answers:
Leto [7]3 years ago
6 0

Answer:

They boarded the bus in descending alphabetical order: Karen, Jose, Isabel and Harry

Step-by-step explanation:

In order of there name: Harry, Isabel, Jose, and Karen

If Karen was the first to board a bus, this means that Jose will be the second to board the bus, third is Isabel and Harry will be fourth.

It can be concluded that they boarded the bus in descending alphabetical order.

ryzh [129]3 years ago
3 0

Answer:

D

Step-by-step explanation:

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a square window has a perimeter of (8x + 12) feet. Write an expression that represents the side length of the window. (in feet)
Harrizon [31]
8x+12=p so you would take away 12 from p making the equation 8x=p-12 and then divide that by 8 so the equation is x= p-12/8 ( x equals p minus 12 over 8)

7 0
3 years ago
Find the equation of the line that is parallel to the given line and passes through the given point
Sati [7]

Answer:

\huge\boxed{y=-\dfrac{1}{4}x-1\to x+4y=-4}

Step-by-step explanation:

\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\==========================\\\\\text{We have}\ x+4y=-6.\\\text{Convert to the slope-intercept form:}\\\\x+4y=-6\qquad\text{subtract}\ x\ \text{from both sides}\\\\4y=-x-6\qquad\text{divide both sides by 4}\\\\y=\dfrac{-x}{4}-\dfrac{6}{4}\\\\y=-\dfrac{1}{4}x-\dfrac{3}{2}\to m_1=-\dfrac{1}{4}

\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (9,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}\\\\x=9,\ y=-3\\\\-3=-\dfrac{1}{4}(9)+b\\\\-3=-\dfrac{9}{4}+b\qquad\text{add}\ \dfrac{9}{4}\ \text{to both sides}\\\\-\dfrac{12}{4}+\dfrac{9}{4}=b\to b=-\dfrac{3}{4}

\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (8,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}

x=8,\ y=-3\\\\-3=-\dfrac{1}{4}(8)+b\\\\-3=-2+b\qquad\text{add 2 to both sides}\\\\-1=b\to b=-1

\text{Therefore the equation is:}\ y=-\dfrac{1}{4}x-1.\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4y=-x-4\qquad\text{add}\ x\ \text{to both sides}\\\\x+4y=-4

5 0
3 years ago
What is the slope of the line that passes through the points ( 8 , − 6 ) and (8,−9)? Write your answer in simplest form.
Natalka [10]

Answer:

No slope

Step-by-step explanation:

The points given are on the vertical line x = 8

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4 0
2 years ago
6) A bag contains 4 red marbles, 3 green, 5 blue. Someone offers you a game : If you pick red marble you win $4, if blue loose $
fomenos

Answer:

11

Step-by-step explanation:

i just need 11 more than ill be fine

3 0
2 years ago
1/2 + (-1/4)=????????????
erica [24]

Answer:

\frac{1}{4}

Step-by-step explanation:

\frac{1}{2} = \frac{2}{4}  We need a common denominator before we can add.

\frac{2}{4} + \frac{-1}{4}  means the same thing as

\frac{2}{4} - \frac{1}{4} = \frac{1}{4}

5 0
1 year ago
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