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yulyashka [42]
3 years ago
7

Help on number problem 5

Mathematics
1 answer:
Leona [35]3 years ago
8 0

See below for a plot of the equation.

The y intercept is the y location where x=0 and can be found by solving 6y=180, which is y=30.

Likewise, the x intercept follows from y=0, so 4x=180 => x=45.

The interpretation of the intercepts is: what is the plan if you go for all small tables (ie., y=0) or all big tables (x=0). The answer is: you can rent either 30 small tables or 45 big ones.


All the other points on the line represent some mix of small and big tables (of course, x and y must be integer because you can't rent half tables).

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What is the value of y in the figure below?<br> (7y + 27)<br> (15x - 5)<br> 125°
Setler [38]

Answer:

Simplifying

(7y + 27) + (15x + -5) = 125

Reorder the terms:

(27 + 7y) + (15x + -5) = 125

Remove parenthesis around (27 + 7y)

27 + 7y + (15x + -5) = 125

Reorder the terms:

27 + 7y + (-5 + 15x) = 125

Remove parenthesis around (-5 + 15x)

27 + 7y + -5 + 15x = 125

Reorder the terms:

27 + -5 + 15x + 7y = 125

Combine like terms: 27 + -5 = 22

22 + 15x + 7y = 125

Solving

22 + 15x + 7y = 125

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-22' to each side of the equation.

22 + 15x + -22 + 7y = 125 + -22

Reorder the terms:

22 + -22 + 15x + 7y = 125 + -22

Combine like terms: 22 + -22 = 0

0 + 15x + 7y = 125 + -22

15x + 7y = 125 + -22

Combine like terms: 125 + -22 = 103

15x + 7y = 103

Add '-7y' to each side of the equation.

15x + 7y + -7y = 103 + -7y

Combine like terms: 7y + -7y = 0

15x + 0 = 103 + -7y

15x = 103 + -7y

Divide each side by '15'.

x = 6.866666667 + -0.4666666667y

Simplifying

x = 6.866666667 + -0.4666666667y

Step-by-step explanation:

Because I know

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Step-by-step explanation:

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Natali [406]
You need to remember that 100 pence = 1 pound sterling.
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</span>
                                50 pence          50 pence
Thus 50 p/ <span>£2   = ------------------ = ------------------  = 1/4
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50 p is 1/4 of <span>£2.</span>
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