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nexus9112 [7]
4 years ago
8

Han made some hot chocolate by mixing 4 cups of milk with 6 tablespoons of cocoa.

Mathematics
1 answer:
Genrish500 [490]4 years ago
7 0
1.5 cups of cocoa for every 1 cup of milk
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Which represents the solution(s) of the system of equations, y = –x2 + 6x + 16 and y = –4x + 37? Determine the solution set alge
masya89 [10]

Answer: c.(3, 25) and (7, 9)

y = –x^2 + 6x + 16 and y = –4x + 37

Plug in -4x+37 for y in first equation . It becomes

-x^2 + 6x + 16= -4x+37

Combine like terms. add 4x  and subtract 37 on both sides

-x^2 + 10x - 21=0

Divide the whole equation by -1 to remove negative sign from -x^2

x^2 - 10x + 21=0

Now factor the left hand side

(x-7)(x-3) = 0

x-7 =0  and x-3=0

x= 7  and x=3

Now we find out y using y = –4x + 37

when  x= 7 , then y=-4(7) +37 = 9

when x= 3, then y=-4(3) + 37 = 25

We write solution set as (x,y)

(7,9)  and (3,25) is our solution set


7 0
3 years ago
Read 2 more answers
The coordinates of points M,N, and P are ....
Rainbow [258]

Answer:

(-1, -1) Let me know if the explanation didn't make sense.  

Step-by-step explanation:

If we graph the three points we can see what looks like a quadrilateral's upper right portion, so we need a point in the lower left.  This means M is only connected to N here and P is only connected to N.  So we want to find the slope of these two lines.

MN is easy since their y values are the same, the slope is 0.

NP we just use the slope formula so (y2-y1)/(x2-x1) = (-1-3)/(5-4) = -4.

So now we want a line from point M with a slope of -4 to intersect with a line from point P with a slope of 0.  To find these lines  weuse point slope form  for those two points.  The formula for point slope form is y - y1 = m(x-x1)

y-3 = -4(x+2) -> y = -4x-5

y+1 = 0(x-5) -> y = -1

So now we want these two to intersect.  We just set them equal to each other.

-1 = -4x -5 -> -1 = x

So this gives us our x value.  Now we can plug that into either function to find the y value.  This is super easy of we use y = -1 because all y values in this are -1, so the point Q is (-1, -1)

8 0
3 years ago
Katie bought 2 one gallon bottles for a party. Her guest drank 5/4 gallons of juice. What is the fraction of juice leftover? Sho
frosja888 [35]

Answer:

3/4 gallons of juice

Step-by-step explanation:

Katie bought 2 one-gallon bottles for a party.

2 one-gallon bottles = 2-gallon bottles of juice

We are told that:

Her guest drank 5/4 gallons of juice.

The fraction of juice leftover is calculated as:

2 gallons of juice - 5/4 gallons of juice

2 - 5/4

Lowest Common Denominator = 4

2/1 - 5/4

= 8 - 5/4

= 3/4 gallons of juice

Therefore, the fraction of juice leftover is 3/4 gallons of juice

7 0
3 years ago
Andrew blew up 25 more balloons than the quotient of the number that Cameron blew up and 8.Cameron blew up b balloons.Write an e
Softa [21]
I have no idea sorry
4 0
3 years ago
4y-4=_____<br> 4(y+1)=___<br> 2+4y=____
34kurt
If they are looking to have them all simplified, this is how they should look. 

4y - 4
4y + 4
4y + 1
3 0
4 years ago
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