Answer:
11.8
Step-by-step explanation:
3(12.4) + 6(11.5) = 37.2 + 69 = 106.2
106.2/9 = 11.8
2x+3y=12
Subtract by 2x
3y=-2x+12
Divide by 3
y=-2/3x+4
Answer:
Step-by-step explanation:
Let x and y represent the cost of a cupcake and cookie respectively.
Given that;
Five cupcakes and two cookies cost $19.75.

Two cupcakes and four cookies cost $17.50.

Let's solve the simultaneous equation by elimination;
Multiply equation 1 by 2;

Subtract equation 2 from equation 3;


divide both sides by 8

Since we have the value of x, let substitute into equation 1 to get y;

therefore , the cost of cupcakes and cookies are;

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A = 133; b = 31; c = 82; d = 64.
Opposite angles in an inscribed quadrilateral are supplementary; this means that d + 116 = 180. Subtracting 116 from both sides, we have d = 64.
By the same theorem, c + 98 = 180; subtracting 98 from both sides, we have c = 82.
Inscribed angles are equal to 1/2 the measure of the intercepted arc. Using this, we have
116 = 1/2(a+99)
Multiplying both sides by 2, we have
232 = a+99
Subtract 99 from both sides:
232 - 99 = a + 99 - 99
133 = a
We also have that
82 = 1/2(133+b)
Multiplying both sides by 2, we have:
164 = 133 + b
Subtract 133 from both sides:
164 - 133 = 133 + b - 133
31 = b