0.19 for one cookie and 0.59 for one doughnut
x for how much one cookie costs and y for how much one doughnut costs
6x+4y=3.5
12x+5y=5.23
solve by substitution: (elimination would work too)
4y=3.5-6x
y=0.875-1.5x
12x+5(0.875-1.5x)=5.23
12x+4.375x-7.5x=5.23
4.5x=0.855
x=0.19
now use x to solve for y:
6(0.19)+4y=3.5
1.14+4y=3.5
2.36=4y
y=0.59
Check the work: 6(0.19)+4(0.59)=3.5
Answer:
y = 6/(x - 8).
Step-by-step explanation:
z = k/y where k is a constant
2 = k/3
k = 6.
So z = 6/y
and x = 6/y + 8
Multiply through by y:
xy = 6 + 8y
xy - 8y = 6
y(x - 8) = 6
y = 6/(x - 8)
The value of the given variable x in the missing angles is; x = 12°
<h3>How to find alternate Angles?</h3>
Alternate angles are defined as the angles that occur on opposite sides of the transversal line and as such have the same size. There are two different types of alternate angles namely alternate interior angles as well as alternate exterior angles.
Now, from the question, we can see that ∠4 and ∠6 suit the definition of alternate angles and as such we can say that they are both congruent.
Since ∠4 = (8x + 4)° and ∠6 = (6x + 28)°, then we can say that;
(8x + 4)° = (6x + 28)°
Rearranging this gives us;
8x - 6x = 28 - 4
2x = 24
x = 24/2
x = 12°
Read more about Alternate Angles at; brainly.com/question/24839702
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<span> <u>24 + 3x = 3x + 3(7 - 1)</u>
Eliminate the parentheses: 24 + 3x = 3x + 3(6)
24 + 3x = 3x + 18
Subtract 3x from each side: <em>24 = 18</em>
Look at that for a second. Can ANY value of 'x' make 24 equal to 18 ?
I don't think so.
There's NO number that makes the equation a true statement.
That's just another way to say: "The equation has NO solution."</span>
For direct variation, y = kx
8 = -4k
k = 8/-4 = -2
Therefore, required equation is y = -2x
when x = 7, y = -2(7) = -14
