Answer:
- 65 bags of House Blend
- 30 bags of Special Blend
- 45 bags of Gourmet Blend
Step-by-step explanation:
Since we want to use all the beans, the constraints can be written as equations in h, s, and g, the numbers of bags of the House, Special, and Gourmet blends that can be made from existing stock. If units are 0.1 kg, then the equations are ...
h + s + g = 140
h +2s +3g = 260
3s +2g = 180
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Subtracting the first equation from the second gives ...
s + 2g = 120 . . . . . . . derived fourth equation
Subtracting that from the third equation gives ...
2s = 60
s = 30
Then filling that back into the derived fourth equation, we have ...
30 + 2g = 120
g = (120 -30)/2 = 45
And substituting into the first equation gives ...
h + 30 + 45 = 140
h = 65
The merchant can use all of his beans making 65 bags of house blend, 30 bags of special blend, and 45 bags of gourmet blend.
Answer:
A is rational
B is rational
C is rational
Step-by-step explanation:
dont forget the brainliest!!
Answer:
I believe it is 2/13
Step-by-step explanation:
52÷4 =13
8÷4=2
so simplified it 2/13
Answer:
Suppose that we have a circle of radius R.
The total perimeter of this circle will be:
P = 2*pi*R
Where pi = 3.14159...
Now, if we have a section of this circle with an angle A, the "chord" of this section will be:
C = (A/360°)*2*pi*R.
Where you can see that if A = 360° (so the section is the whole circle) the chord is equal to the perimeter.
In this particular case, the chord is equal to the radius of the circle, then we get:
C = R = (A/360°)*2*pi*R
We need to solve this for A.
R = (A/360°)*2*pi*R
We can divide both sides by R to get:
1 = (A/360°)*2*pi
Now we need to isolate A.
(360°/2*pi) = A = 57.3°
This would be the angle in the minor arc.
And the angle for the mayor arc would be the difference between the angle for a whole circle (360°) and the angle of this section (57.3°)
The angle for the major arc is:
A = 360° - 57.3° = 302.7°
Answer:
The perimeter of triangle MNP is 130 units
Step-by-step explanation:
By the mid segment theorem, we have it that the a side of the smaller inner triangle is 1/2 the measure of the parallel side of the bigger triangle that faces it
This mean RS is half MN, QS is half NP and QR is half MP
Using this, we have it that;
2(x + 4) = 5x - 34
2x + 8 = 5x -34
5x-2x = 34 + 8
3x = 42
x = 42/3
x = 14
So we have RS which is x + 4 as 14 + 4 = 18
The perimeter of the smaller triangle is the sum of its side lengths
We have this as;
22 + 25 + 18 = 65
Furthermore, by the mid segment theorem , the perimeter of the bigger triangle is twice that of the smaller
thus, we have the perimeter of MNP as 2(65) = 130 units