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svlad2 [7]
3 years ago
5

A newspaper and three hot chocolates cost $7. Two newspapers and two hot chocolates cost $6. How much does one hot chocolate cos

t?
Mathematics
1 answer:
pochemuha3 years ago
3 0

Answer:

the cost of one hot chocolate is $2.

Step-by-step explanation:

Let x be the hot chocolate cost and y be the newspaper cost.

Given:

A newspaper and three hot chocolates cost $7

So, the equation is

3x+y=7--------(1)

Two newspapers and two hot chocolates cost $6

So, the second equation is.

2x+2y=6---------(2)

Find one hot chocolate cost?

Solve equation 1 for y.

3x+y=7

y=7-3x

Put y value in equation 2

2x+2(7-3x)=6

2x+14-6x=6

14-4x=6

-4x=6-14

-4x=-8

negative sign is cancelled both side.

x=\frac{8}{4}

x=2

Therefore, the cost of one hot chocolate is $2.

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Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form
Ksivusya [100]

Answer:

(x + 1)² + (y + 3)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² + 2x + 6y - 6 = 0

Collect the x and y terms together and add 6 to both sides

x² + 2x + y² + 6y = 6

To complete the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9

(x + 1)² + (y + 3)² = 16

with centre = (- 1, - 3) and r = \sqrt{16} = 4

4 0
3 years ago
Need help please due tomorrow
spayn [35]
Its b because blue plus white is 16, so blue and white combined have the same as black
Hope this helps :D
7 0
3 years ago
A) converts into minutes 4 hours 30 minutes​
storchak [24]

Answer:

270 Minutes

Step-by-step explanation:

4hours = 240 Minutes

+30 minutes = 270 Minutes

4 0
3 years ago
Read 2 more answers
If you help me on this god bless you, I NEED HELP !
joja [24]

Answer:

  1. given
  2. additive property of equality
  3. segment addition postulate
  4. segment addition postulate
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Step-by-step explanation:

In an equation, the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.

transitive property,  If a = b and b = c, then a = c.

Segment Addition Postulate Defined. The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC.

I hope this was good enough for you:

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3 years ago
Question 15 please. Thanks
horsena [70]
Ignore the decimal places and do 789x38 and you get 29982. Now all you have to do is put the decimal places back. Since 789 was 7.89 it had 2 decimal places and 38 had 1 you have to move 29982 three decimal places to the left making your final answer 29.982.
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3 years ago
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