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3 years ago

Anna and Sam each want to run for president of their school's student body council. In order

Mathematics

1 answer:

timofeeve [1]3 years ago

5 0

Answer:

6x+20=5x+25

5 days

Step-by-step explanation:

Let x = the days that they have the same amount of signatures

We know Anna has 20 currently and gets 6 per day, so we can use y=mx+b to describe her linear relationship.

We also know that Sam has 25 and gets 5 per day, so we can again use y=mx+b to describe his linear relationship.

Since both equations equal the variable y, we can say they equal each other and set up 6x+20=5x+25.

Then you subtract 20 from both sides and subtract 5x, so you are left with x =5, or 5 days until they have the same amount of signatures

Hope this made sense :D

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sp2606 [1]

Answer:

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Step-by-step explanation:

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3 years ago

A segment in the complex plane has a midpoint at –1 + i. If the segment has an endpoint at –5 – 7i, what is the other endpoint?

morpeh [17]

Answer:

The other end point is: s+ti = 3+9i

Step-by-step explanation:

Mid-Point(M) in the complex plane states that the midpoint of the line segment joining two complex numbers a+bi and s+ti is the average of the numbers at the endpoints.

It is given by: $M = \frac{a+s}{2} +(\frac{b+t}{2})i$

Given: The midpoint = -1 + i and the segment has an endpoint at -5 - 7i

Find the other endpoints.

Let a + bi = -5 -7i and let other endpoint s + ti (i represents imaginary )

Here, a = -5 and b = -7 to find s and t.

then;

$-1+i = \frac{-5+s}{2} + ( \frac{-7+t}{2})i$ [Apply Mid-point formula]

On comparing both sides

we get;

$-1 = \frac{-5+s}{2}$ and $1 = \frac{-7+t}{2}$

To solve for s:

$-1 = \frac{-5+s}{2}$

-2 = -5+s

Add 5 to both side we have;

-2+5 = -5+s+5

Simplify:

3 = s or

s =3

Now, to solve for t;

$1 = \frac{-7+t}{2}$

2 =-7+t

Add 7 to both sides we get;

2+7 = -7+t+7

Simplify:

9 = t

t =9

Therefore, the other end point (s+ti) is, 3+9i

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4 years ago

Read 2 more answers

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dybincka [34]

Answer:

x=58 degrees

Step-by-step explanation:

A line is 180 degrees. So x+90+32=180. 32+90=122. Now you do 180-122 and you will get 58.

7 0

3 years ago

Which graph represents the solution set for the system x + y> 5 and -3x + 2y< -2.

Leviafan [203]

Is there any picture we can work with?

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3 years ago

The number of days ahead travelers purchase their airline tickets can be modeled by an exponential distribution with the average

agasfer [191]

Answer:P(x<10) =0

Step-by-step explanation:

M =1/μ

M= 1/15 =0.066667

X- Exp (0.066667)

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P(X - x) = 1 - e^-0.06666 x10

P(x<10) = 0

3 0

3 years ago