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DiKsa [7]
3 years ago
12

4x+4y=15. missing coordinate in the ordered pair (−5,?)

Mathematics
2 answers:
Eddi Din [679]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

given 4x + 4y = 15

substitute x = - 5 into the equation and solve for y

- 20 + 4y = 15 ( add 20 to both sides )

4y = 35 ( divide both sides by 4 )

y = \frac{35}{4} ← missing coordinate

the ordered pair is (- 5, \frac{35}{4})


timama [110]3 years ago
5 0

Answer:


Step-by-step explanation:

4×(-5)+4y=15 -> y= 35/4

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A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of s
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All the answers to the given parts are mentioned below -

<h3>What is the general equation of a Straight line? How it represents a proportional relationship?</h3>

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

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OR

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We have a cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one-half gallon of water is needed, and for every 6 scoops of mix, one and one-half gallons of water are needed.

We can write the proportional relationship as -

y = kx

Now, from the given information, we can write -

2 scoops need 0.5 gallon of water

6 scoops need 1.5 gallon of water

So -

k = 2/0.5

k = 2/(1/2)

k = 2 x 2 = 4

Equations that represents the relationship can be written as -

y = 4x + c

Now, 2 scoops need 0.5 gallon of water.

2 = 4 x 1/2 + c

2 = 2 + c

c = 0

So, the equation will be y = 4x.

Graph of y = 4x is attached at the end.

For 10 scoops of water -

10 = 4x

x = 2.5 gallons of water is needed.

Therefore, all the answers to the given parts are mentioned above.

To solve more questions on proportional relationship, visit the link below-

brainly.com/question/12917806

#SPJ1

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