The temperature at 1:00pm was 52*. The temperature at 3:00 was 60*. What is the rate of change?

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Answer 1
Answer: The rate of change is 8*. From 1pm-3 the temperature increased 8*.

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A withdrawal of $50 is negative or positive?

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a withdrawal of $50 is negative because you are taking money out of your account and your money in your account is getting less than what it was before.
its Negative because your taking away money.

Three vertices of square PQRS are P(–3, –2), Q(–1, 3), and R(4, 1). What are the coordinates of the fourth vertex?

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I made a quick sketch of these three points on a scratch paper, and
I think this is the way to solve the problem.  Even though it seems
long and complicated, it's just doing things that you know how to do,
several times.

On paper, sketch and mark the three points.

You'll see that there are two sides of the square missing:
-- the side from 'P' to the missing point,
-- the side from 'R' to the missing point.

==> Find the slope of the side between 'Q' and 'R'.
Q=(-1, 3) . . . R=(4, 1)
Slope = (1-3) / (4 - -1) = -2/5
The side from 'P' to the missing point has the same slope,
and it goes through the point 'P' (-3, -2), so you can find its equation.
y = -2/5x + b
-2 = -2/5(-3) + b
-2 = 6/5  +  b
-2 - 6/5 = b = -10/5 - 6/5 = -16/5
y = -2/5x - 16/5

==> Find the slope of the side between 'P' and 'Q'.
The side from 'R' to the missing point has the same slope,
and it goes through the point 'R', so you can find its equation.

Maybe a bit shorter, you could say that this line is perpendicular to
the line between 'Q' and 'R' that you just found, so its slope is the
negative reciprocal of that one ... 5/2 instead of  -2/5s .

y = 5/2 x + b
This line goes through point 'R' (4, 1), so
1 = 5/2(4) + b
1 = 20/2 + b
1 = 10 + b
-9 = b
y = 5/2x - 9

Now you have the equations for the two lines that go through the
missing point.  When you solve this system of two equations, you'll
have the 'x'; and 'y' coordinates of the missing point, because that's
where they intersect.

y = -2/5x - 16/5  ,  and
y = 5/2x - 9

                                           -2/5 x - 16/5 = 5/2 x - 9
Multiply each side by 10 :      -4 x -  32  =  25 x - 90
Add  4x  to each side :                   - 32  =  29 x - 90
Add  90 to each side:                       58  =  29 x
Divide each side by  29 :          x = 2

y = 5/2 x - 9  =  5/2(2) - 9  =  5 - 9  =  -4

The missing corner is the point  (2, -4) .    


Like I said ... It seems long and complicated, but it's just a matter of
doing things that you know how to do, several times.  And trying to
not make any mistakes along the way (like I did about four times.)




What is 46/16 as a mixed number

Answers

(46)/(16)=(23)/(8)=2(7)/(8)

Rachel is putting 3,902 bagels into boxes. If she puts 8 bagels in each box, how many boxes can she fill?? Write the answer as a mixed number

Answers

3902/8=487.75
So, the answer is 487 and 3/4
u have to divide 3902 and 8

-5g+2.3= -18.8 im in seventh grade and can't figure out this equation... ughhh

Answers

-5g+2.3=-18.8
      -2.3     -2.3
       -5g =-21.1   divide each side by -5
          g=4.22         
-5g + 2.3 = -18.8
        -2.3      -2.3
------------------------
-5g= 21.1
----    ------
-5         -5

g= -4.22

tia is buying paper cups and plates. cups come in package of 12 ,and plates come in package of 10.she wants to buy the same number of cups and plates but plans to buy the least number of package possible. how much should Tia expect to pay if $3 and each package of plates is $ 5 . explain

Answers


What I did to start with was to find the lowest number that both 12 and 10 could divide into, that number is 60.

I know 60 divided by 12 is 5 and I know that 60 divided by 10 is six.

Then I took 5 and multiplied it by 3 and got 15. I did this step because you need 5 packages of cups and each package cost 3 dollars.

Next I took 6 and multiplied it by 5 and got 30. I did this step because you need 6 packages of plates and each package cost 5 dollars.

You would then take 30 dollars and 15 dollars and add them together to get your total.

The answer is 42 dollars.